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Ganga Academy [SAMPLE QUESTION PAPER FOR CLASS X – MATHEMATICS & SCIENCE ] CBSE PATTERN SPECIALIST SINCE 2002 CBSE BOARD SAMPLE PAPERS 2012- 13 2012: 20012 RESULTS X & XII CBSE CLASS X 1) ASMITA A GAIND ENGLISH COMM.: 10 , MATHEMATICS : 09 SCIENCE: 10 CGPA 9.8 2)RAJ HANMANT KATKAR ENGLISH COMM.: 10 MATHEMATICS : 09 SCIENCE :10 CGPA 9.8 3)Hemang Pancholi MATHEMATICS: 10 CLASS XII (Sci) 1) KIRAN ASHOK SALUNKE PHYSICS : 088 ; CHEMISTRY :086 ; BIOLOGY: 090 Total:85.2% 2) PRABODHINI .B. BHUMKAR MATHEMATICS : 077 ; PHYSICS : 094 ;CHEMISTRY : 084 Total:84.8% 3)INDERJEET SINGH PHYSICS: 84 ;Total:83.2% OVER ALL 100% Result ! Thax. to all dedicated teacher SYLLABUS MATHEMATICS X SAI I. NUMBER SYSTEMS 11 ;II. ALGEBRA 23 ; III. G EOMETRY 17 ;IV TRIGONOMETRY 22 ; V STATISTICS 17 TOTAL 90 BY;CBSE EXPERT AJAY KUMAR MISHRA 1 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104 SUMMATIVE ASESSMENT- I CLASS X

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Page 1: Sample Question Paper for Class X – Mathematics & Sciencegangaacademy.weebly.com/.../1/0/8/11082584/x_sai_sa…  · Web view[Sample Question Paper for Class X – Mathematics &

Ganga Academy [Sample Question Paper for Class X – Mathematics & Science ]

CBSE PATTERN SPECIALIST SINCE 2002 CBSE BOARD SAMPLE PAPERS 2012- 13 2012:

20012 RESULTS X & XII CBSECLASS X1) ASMITA A GAIND ENGLISH COMM.: 10 , MATHEMATICS : 09 SCIENCE: 10 CGPA 9.82)RAJ HANMANT KATKAR ENGLISH COMM.: 10 MATHEMATICS : 09 SCIENCE :10 CGPA 9.8 3)Hemang PancholiMATHEMATICS: 10

CLASS XII (Sci)1) KIRAN ASHOK SALUNKE PHYSICS : 088 ; CHEMISTRY :086 ; BIOLOGY: 090 Total:85.2%2) PRABODHINI .B. BHUMKAR MATHEMATICS : 077 ; PHYSICS : 094 ;CHEMISTRY : 084 Total:84.8%

3)INDERJEET SINGH PHYSICS: 84 ;Total:83.2%

OVER ALL 100% Result ! Thax. to all dedicated teacherSYLLABUS MATHEMATICS X SAI I. NUMBER SYSTEMS 11 ;II. ALGEBRA 23 ; III. G EOMETRY 17 ;IV TRIGONOMETRY 22 ; V STATISTICS 17 TOTAL 90

BY;CBSE EXPERT AJAY KUMAR MISHRA

Note : This booklet contains mathematics Important formulae on next page.

1 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

SUMMATIVE ASESSMENT- I CLASS X

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Ganga Academy [Sample Question Paper for Class X – Mathematics & Science ]

Algebra 1) (a + b)2 = a2 + 2ab + b2

2) a2 – b2 = (a + b) (a – b)3) (a – b) 2 = a2 – 2ab + b2

4) (a – b)3 = a3 – 3a2b + 3ab2 – b3 5) (a + b) 3 = a3 + 3a2b + 3ab2 + b3

6) a3 – b3 = (a – b) (a2 + ab + b2) 7) a3 + b3 = (a + b) (a2 – ab + b2)8) x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + y2 – xy – yz – zx =

½ (x + y + z) [ (x – y) 2 + (y – z) 2 + (z – x) 2]2 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir :

9766607104Sides )

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9) a3 – b3 + c3 + 3abc = (a – b + c) (a2 + b2 + c2 + ab + bc – ca)10)

Comparing Quantities : i. Profit = S.P. – C.P.ii. Loss = C.P. – S.P.iii. Profit % = (Profit / C.P.) x 100iv. Loss % = (Loss / C.P.) x 100v. C.P. = S.P. / (1+P%)vi. S.P. = C.P. – (Loss% x C.P.)vii. Amount = Principal + Interest1viii. S.I. = (P x R x T)/100, P = Principal, R = Rate, T = Time, S.I. = Simple

intrest for yearly ix. A = P (1 + R/100)n A = Amount, R = Rate, n = Numbers of yearsx. Discount = Marked Price – Sale Price.xi. Discount % = (Discount / Marked Price) x 100xii. A = P (1 + R/200)2n A = Amount, R = Rate, n = Number of years, for half

yearly.Mensuration :

1. Perimeter of a regular Polygon = Number of sides x length of one side.2. Area of Parallelogram = base x height3. Area of trapezium = half of the sum of the length of parallel sides x

perpendicular distance between them.4. Area of rhombus – half the product of its diagonal5. Volume of cube = (I)3

6. 1 cm3 = 1ml7. 1 L = 1000 cm3

8. 1 m3 = 1000000 cm3

9. ao = 1

MATHEMATICS

SAMPLE PAPER -I

Total marks of the paper: 90Total time of the paper: 3.5 hrs

1. All questions are compulsory.

2. The question paper consists of 34 questions divided into four sections A, B, C, and D. Section – A comprises of 8 questions of 1 mark each, Section – B comprises of 6 questions of 2 marks each, Section – C comprises of 10 questions of 3 marks each and Section – D comprises of 10 questions of 4 marks each.

3. Question numbers 1 to 8 in Section – A are multiple choice questions where you

3 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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are to select one correct option out of the given four.

4. There is no overall choice. However, internal choice has been provided in 1 question of two marks, 3 questions of three marks each and 2 questions of four marks each. You have to attempt only one of the alternatives in all such questions.

5. Use of calculator is not permitted.

6. An additional 15 minutes has been allotted to read this question paper only.Questions:1]

The decimal expansion of the rational number will terminateafter.

[Marks:1]

A. more than three decimal places

B. three decimal placesC. two decimal placesD. one decimal place

2]n2 - 1 is divisible by 8, if n is [Marks:1]

A. an even integerB. a natural numberC. an integerD. an odd integer

3]If one of the zeroes of the quadratic polynomial (K - 1) x2 + 1 is -3, then the value of k is

[Marks:1]

A.

B.

4 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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C.

D.

4]The lines representing the linear equations 2x - y = 3 and4x - y = 5:

[Marks:1]

A. intersect at exactly two points

B. are coincidentC. are parallelD. intersect at a point

5]Construction of a cumulative frequency table is useful in determiningThe:

[Marks:1]

A. all the above three measures

B. modeC. meanD. median

6]If x = 3 sec2 - 1, y = tan2 - 2 then x - 3y is equal to [Marks:1]

A. 5B. 4C. 3D. 8

7]If cos + cos2 = 1, the value of (sin2 + sin4 ) is [Marks:1]

A. 2

5 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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B. -1C. 0D. 1

8]If ABC ~ RQP, A = 80°, B = 60°, the value of P is [Marks:1]

A. 30°

B. 50°C. 60°D. 40°

9]Use Euclid's division algorithm to find H.C.F. of 870 and 225. [Marks:2]

10]Solve 37x + 43y = 123, 43x + 37y = 117.

OR

x + = 6, 3x - = 5.

[Marks:2]

11], are the roots of the quadratic polynomial p (x) = x2 - (k + 6)x + 2

(2k - 1). Find the value of k, if + = .[Marks:2]

12]In fig., AB BC, DE BC. Prove that ADE ~ GCF.

[Marks:2]

13]

If cot = , find the value of [Marks:2]

6 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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14]Find the median class and the modal class for the followingdistribution.

C.I 135 - 145

140-145

145 - 150

150 - 155

155 - 160

160 - 165

F 4 7 11 6 7 5

[Marks:2]

15]

Show that 5 + is an irrational number.OR

Prove that is an irrational number.

[Marks:3]

16]If and are the zeroes of the quadratic polynomial f(x)= x2-2x+1,

find a quadratic polynomial whose zeroes are and .[Marks:3]

17]If in a rectangle, the length is increased and breadth is reduced each by 2 metres, the area is reduced by 28 sq mtrs.If the length is reduced by 1 metre and breadth is increased by 2 metres, the area is increased by 33 sq mtrs. Find the length and breadth of the rectangle.

ORA chemist has one solution which is 40% acid and a second which is 60% acid. How much of each should be mixed to make 10 litres of 50% acid solution.

[Marks:3]

18]For what values of a and b does the following pairs of linear equations have an infinite number of solutions:2x + 3y = 7; a (x + y) -b (x - y) = 3a + b - 2

[Marks:3]

19]

In figure, Ay || QR, and Pr = 6.3 cm. Find YR.

[Marks:3]

7 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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20]Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third together with twice the square of the median, which bisect the third side.

[Marks:3]

21]

If OR

Find the value

of

[Marks:3]

22]In figure, ABC is a triangle right angled at B, AB = 5 cm, ACB

= 30°. Find the length of BC and AC.

[Marks:3]

23]In the following distribution, if the mean of the distribution is 86 then the value of p isWages (in Rs.)

50-60

60-70

70-80

80-90

90-100

100-110

Number of

5 3 4 p 2 13

[Marks:3]

8 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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workers24]

Find the modal age of 100 residents of a colony from the following data :Age in yrs. ( more than or equal to)

0 10 20 30 40 50 60 70

No. of Persons

100 90 75 50 28 15 5 0

[Marks:3]

25]A number of the form 15n where n N the set of natural

numbers,can never end with a zero. Justify this statement.

[Marks:4]

26]Solve the equations 2x − y +6 = 0 and 4x + 5y − 16 = 0 graphically. Also determine the coordinate of the vertices of the triangle formed by these lines and the x-axis.

[Marks:4]

27]What must be subtracted from x3 - 6x2 - 15x + 80 so that the result is exactly divisible by x2 + x - 12.

[Marks:4]

28]

In triangle ABC, D is the mid-point of BC and AE BC. If AC > AB,

Show that -BC x DE + OR

In a right angled triangle, the square of the hypotenuse is equal to

the sum of squares of the other two sides.

[Marks:4]

29]In figure, ABC is right angled at C. DE AB. If BC = 12 cm. AD = 3 cm and DC = 2 cm, then prove that and hence find the lengths of AE and DE.

[Marks:4]

9 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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30]

Prove that: OR

Prove that = sec A + tan A

[Marks:4]

31]

If sec + tan = p, show that = sin .[Marks:4]

32]

[Marks:4]

33]The following distribution gives the daily income of 50 workers of a factory.

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

[Marks:4]

34]In the distribution given below 50% of the observations is more than 14.4. Find the values of x and y, if the total frequency is 20.

Class Interval

0-6

6-12

12-18

18-24

24-30

Frequency 4 x 5 y 1

[Marks:4]

SAMPLE PAPER -II 10 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir :

9766607104

Daily income (in Rs)

100 - 120

120 - 140

140 - 160

160 - 180

180 - 200

Number of workers

12 14 8 6 10

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Questions:1]

ABC is right angled at A, the value of tan B tan C is : [Marks:1]

A. None of the aboveB. -1C. 0D. 1

2]The graph of a polynomial y = f(x) is shown in fig. The number of zeroes of f(x) is :

[Marks:1]

A. 2B. 0

C.

D. 13]

If mode = 80 and mean = 110 then the median is: [Marks:1]

A. 90B. 120C. 110D. 100

4]The following pairs of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :

[Marks:1]

A. None from a, b, cB. Coincident lines

11 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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C. IntersectingD. Parallel lines

5], then the value of is : [Marks:1]

A.

B.

C.

D.

6]

M is the mid-point of BC and B is the mid-point of QR. If the area of ABC = 100sq. cm and the area of PQR = 144 sq. cm If AM = 4 cm then PN is:

[Marks:1]

A. 5.6 cmB. 4 cmC. 12 cmD. 4.8 cm

7]If two positive integers a and b are written as a = x2 y2 and b = xy2 ; x,y are prime numbers then HCF (a, b) is :

[Marks:1]

A. x2y2

B. x2y3

C. xyD. xy2

8]

For the decimal number , the rational numbers is: [Marks:1]

A.

B.

12 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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C.

D.

9]Find the zeroes of the quadratic polynomial x2 + 7x + 12 and verify the relationship between the zeroes and its coefficients.

[Marks:2]

10]Can the number 6n, n being a natural number end with the digit 5? Given reasons.

[Marks:2]

11]Find the median of the following data :Marks 0 - 10 10 - 30 30 - 60 60 - 80 80 - 100

Frequency 5 15 30 8 2

[Marks:2]

12]For what value of k, will the following system of linear equations have infinitely many solutions?2x + 3y = 4 and (k + 2)x + 6y = 3k + 2.

[Marks:2]

13]Given that sin (A + B) = sin A cos B + cos A sin B, find the value of sin 75o

OR

It cosec find the value of cot + tan .

[Marks:2]

14]In the given figure. E is a point on side CB produced of an isosceles ABC with AB = BC. If AD BC and EF AC. Prove that

[Marks:2]

15]Rekha's mother is five times as old as her daughter Rekha. Five years later, Rekha's mother will be three times as old as her daughter Rekha. Find the present age of Rekha and her mother's age.

OR

[Marks:3]

13 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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Two numbers are in the ratio 5 :6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers.

16]

If sin = , find the value of [Marks:3]

17]Find unknown entries a,b,c,d,e,f in the following distribution of heights of students in a class and the total number of students in the class in 50.Height in c.m

150 - 155

155 - 160

160 - 165

165 - 170

170 - 175

175 - 180

Frequency 12 b 10 d e 2

Cumulative Frequency

a 25 c 43 48 f

[Marks:3]

18]Find the mean of the following frequency distribution.C.I. 0-

100100-200

200-300

300-400

400-500

f 2 3 5 2 3

[Marks:3]

19]

Prove that = 1 + sec . cosec OR

Evaluate :

[Marks:3]

20]

In fig, DE || BC and AD : DB = 5:4, find

[Marks:3]

21]If are zeroes of polynomial 6x3 + 3x2 - 5x + 1, then find the value of .

[Marks:3]

14 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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22]

Show that 6 + is irrational.OR

Prove that 5 - is an irrational.

[Marks:3]

23]In PQR, PD QR such that D lies on QR . If PQ = a, PR = b, QD = c and DR = d and a,b,c,d are positive units, prove that (a + b ) (a- b)=(c+d)(c-d).

[Marks:3]

24]Solve for x and y:

[Marks:3]

25]Show that the square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q.

[Marks:4]

26]State and Prove Basic proportionality theorem.

OR

Prove that ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.

[Marks:4]

27]Prove that:

[Marks:4]

28]Solve the following equations graphically:x -y = 1 and 2x + y = 8. Shade the region between the two lines and y - axis.

[Marks:4]

29]Prove that:

OR

Without using trigonometric tables evaluate :[Marks:4]

15 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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30]Calculate the mode of the following frequency distribution table.

Marks No. of Students

above 25above 35above 45above 55above 65above 75above 85

52473717820

[Marks:4]

31]If the remainder on division x3 + 2x2 + kx + 3 by x - 3 is 21, find the quotient and the value of k. Hence, find the zeroes of the cubic polynomial x3 + 2x2 + kx - 18.

[Marks:4]

32]Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

[Marks:4]

33]

Prove that = sin A + cos A[Marks:4]

34]

For the data given below draw less than ogive graph.Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60

Number of students

7 10 23 51 6 3

[Marks:4]

SAMPLE PAPER -III

Questions:1]

Triangle ABC is similar to triangle DEF and their areas are

64 cm2 and 121 cm2 respectively. If EF= 15.4 cm, then BC = ?[Marks:1]

A. 13B. 8

16 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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C. 11D. 11.2

2]The graph y= p(x) is shown below. How many zeroes does the polynomial p(x) have?

[Marks:1]

A. 1

B. 2C. 3D. 4

3]Which of the following is not a measure of central tendency : [Marks:1]

A. ModeB. MedianC. MeanD. Range

4]The number 7 x 11 x 13 + 13+13 x 2 is [Marks:1]

A. multiple of 7B. Neither prime nor compositeC. PrimeD. Composite

5]HCF of the smallest composite number and the smallest prime number is

[Marks:1]

A. 4B. 0

17 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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C. 1D. 2

6]For what value of 'K' will the system of equations 3x + y = 1,(2K - 1) x + (K - 1) y = 2K + 1 have no solution.

[Marks:1]

A. -2B. 1C. 3D. 2

7]

If 3cotA = 4, then =[Marks:1]

A.

B.

C.

D.

8]If tan A = cot B, then A + B = ? [Marks:1]

A. 600

B. 450

C. 300

D. 900

9]In figure, If AD BC, then prove that AB2 + CD2 = AC2 + BD2

[Marks:2]

18 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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10]Find LCM and HCF of 120 and 144 by fundamental theorem of Arithmetic.

[Marks:2]

11]Solve the following pair of linear equations.3x + 4y = 10 and 2x - 2y = 2

[Marks:2]

12]Prove that sin6 + cos6 + 3sin2cos2 = 1. [Marks:2]

13]Write a frequency distribution table for the following data:

Marks Above 0

Above 10

Above 20

Above 30

Above 40

Above 50

No. of students

30 28 21 15 10 0

[Marks:2]

14]If x - 2 is a factor of x3 + ax2 + bx + 16 and a - b = 16, find the value of a and b.ORIf m, n are the zeroes of polynomial ax2-5x+c , find the value of a and c if m + n = m.n

[Marks:2]

15]Find the mode of the following data:Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50

No. of students

3 12 32 20 6[Marks:3]

16]In ABC, if AD is the median, then show that AB2 + AC2 = 2[AD2 + BD2].

[Marks:3]

17]Prove that:

[Marks:3]

18]The sum of the numerator and denominator of a fraction is 8. If 3 is added to both the numerator and the denominator the fraction

[Marks:3]

19 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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becomes . Find the fraction.OR

Seven times a two digit number is equal to four times the number obtained by reversing the order of its digits. If the difference between the digit is 3, find the number.

19]

Prove that is an irrational.OR

Prove that - 7 is an irrational.

[Marks:3]

20]Find the median of the following data.Class Interval

0-20 20-40 40-60 60-80 80-100 100-120

Frequency 7 8 12 10 8 5OR

The mean of the following data is 53,find the missing frequencies.

Age in years 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 Total

Number of people

15 f1 21 f2 17 100

[Marks:3]

21]In figure,

.

[Marks:3]

22]Prove that:

.OR

[Marks:3]

20 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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Without using trigonometric tables evaluate:

23]In dividing x3 - 3x2 + x + 2 by a polynomial g(x) the quotient q(x) and the remainder r(x) were x - 2 and -2x + 4 respectively. Find g(x).

[Marks:3]

24]For what values of a and b does the following pairs of linear equations have an infinite number of solutions:2x + 3y = 7; a (x + y) -b (x - y) = 3a + b - 2

[Marks:3]

25]Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

[Marks:4]

26]100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:No. of letters

1-4 4-7 7-10

10-13

13-16

16-19

No. of surnames

6 30 40 16 4 4

What is the average length of a surname? Which average you will use? Justify.

[Marks:4]

27]Prove that:

OR

(cosec A - sin A) (sec A - cos A) (tan A + cot A) = 1

[Marks:4]

28]State and prove Basic proportionality theorem.OR

State and prove Pythagoras theorem.

[Marks:4]

29]If tan + sin = m and tan - sin = n. Show that m2 - n2 = .

[Marks:4]

21 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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30]What must be subtracted from x3 - 6x2 - 15x + 80 so that the result is exactly divisible by x2 + x - 12?

[Marks:4]

31]Solve graphically the pair of equations 2x + 3y = 11 and2x - 4y = -24. Hence find the value of coordinate of the vertices of the triangle so formed.

[Marks:4]

32]The mode of the following frequency distribution is 55. Find the value of f1 and f2.

Class Interval

0 - 10 15 - 30 30 - 45 45 - 60 60 - 75 75 - 90 Total

Frequency 6 7 f1 15 10 f2 51

[Marks:4]

33]Prove that ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.

[Marks:4]

34]Prove that :

[Marks:4]

SAMPLE PAPER –IV

Questions:1]

The relation connecting the measures of central tendencies is [Marks:1]

A. Mode = 3 median + 2 mean

B. Mode = 2 median + 3 mean

C. Mode = 2 median - 3 mean

D. Mode = 3 median - 2 mean

22 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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2]IF and are the zeroes of the polynomial 5x2 - 7x + 2, then sum of their reciprocals is: [Marks:1]

A.

B.

C.

D.

3]The value of sin2 30o - cos2 30o is : [Marks:1]

A.

B.

C.

D.

4]A rational number can be expressed as a terminating decimal if the denominator has factors. [Marks:1]

A. 3 or 5

B. 2 or 3

C. 2,3 or 5

D. 2 or 5

23 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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5]Which of the following cannot be the sides a right triangle? [Marks:1]

A. 400 mm, 300 mm, 500 mm

B. 2 cm, 1 cm, cm

C. 9 cm, 15 cm, 12 cm

D. 9 cm 5 cm 7cm6]

Which of the following pair of linear equations is inconsistent? [Marks:1]

A. 9x - 8y = 17; 18x -16y = 34

B. x - 2y = 6; 2x + 3y = 4

C. 5x - 3y =11; 7x + 2y =13

D. 2x + 3y = 7; 4x + 6y = 57]

If one root of the equation (p + q) 2 x 2 - 2 (p + q) x + k =0

is , then k is

[Marks:1]

A. 15

B. 50

C. -50

D. -158]

If tan 2A = cot (A - 18o), then the value of A is [Marks:1]

A. 27o

B. 24o

24 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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C. 18o

D. 36o

9]The HCF and LCM of two numbers are 9 and 90 respectively. If one number is 18, find the other.

[Marks:2]

10]In the following distribution:

Monthly income range(In Rs.)

No. of families

Income more than Rs 10000 100

Income more than Rs 13000 85

Income more than Rs 16000 69

Income more than Rs 19000 50

Income more than Rs 22000 33

Income more than Rs 25000 15

Find the no of families having income range (In Rs.) 16000 - 19000?

[Marks:2]

11]

Prove that 1 + [Marks:2]

12]If fig. If A = B and AD = BE show that DE || AB in ABC.

[Marks:2]

25 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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13]From a quadratic polynomial whose one of the zeroes is - 15 and sum of the zeroes is 42.

OR

If and are the zeroes of the polynomial 2x2 - 4x + 5, then find the value of ² + ²

[Marks:2]

14]For what value of P will the following system of equations have no solution (2p - 1)x + (p - 1) y = 2p + 1; y + 3x - 1 = 0. [Marks:2]

15]Find the mode of the following data:

Class 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60

Frequency 7 12 20 11 8

[Marks:3]

16]In fig. PQR and SQR are two triangles on the same base QR. If PS intersect QR at O then show that

[Marks:3]

17]

Prove that 5 + is an irrational number.[Marks:3]

26 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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OR

Prove that is an irrational number.

18]Prove that:

[Marks:3]

19]Divide the polynomial p(x) by the polynomial g(x) and find the

quotient and remainder . [Marks:3]

20]Find the mean of the following data:

Class Interval

30 -40 40 -50 50 -60 60 -70 70 -80

80 -90

90 -100

Frequency

2 3 8 6 6 3 2

ORFind the median daily expenses from the following data.

Daily Expenses (in Rs.) No. of families

20 - 40 6

40 - 60 9

60 - 80 11

80 - 100 14

100 - 120 20

120 - 140 15

140 - 160 10

160 - 80 8

[Marks:3]

27 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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180 - 200 7

Total 10021]

In an equilateral triangle ABC, D is a point on side BC such that 3BD = BC. Prove that 9AD2= 7AB2.

[Marks:3]

22]Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

OR

Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

[Marks:3]

23]If sin + cos = m and sec+cosec = n, prove that n ( = 2m.

[Marks:3]

24]Find the cost of a jacket if the cost of two T-shirts and one jacket is Rs 625 and three T-shirts and two jackets together costs Rs 1125. [Marks:3]

25]Show that any positive even integer is of the form 6m, 6m + 2 or 6m + 4. Where m is some integer. [Marks:4]

26]The mean of the following distribution is 62.8 and the sum of the sum of all frequencies is 50. Compute the missing frequencies f1 and f2.

Class 0 -20 20 -40 40 -60 60 -80 80 -100

100 -120

Total

Frequency

5 f1 10 f2 7 8 50

[Marks:4]

27]

In fig, PA QB and RC are perpendiculars to AC. Prove that

[Marks:4]

28]Show that q (p2 - 1) = 2p, if sin + cos = p and sec + cosec =q.

[Marks:4]

28 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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29]

Find the other zeroes of the polynomial 2x4 - 3x3 - 3x2 + 6x - 2 if - and are the zeroes of the given polynomial.

[Marks:4]

30]Prove that:

ORWithout using trigonometric tables, evaluate

[Marks:4]

31]State and prove Pythagoras theorem.

ORProve that the ratio of areas of two similar triangles is equal to the ratio of the squares of the corresponding sides.

[Marks:4]

32]During the medical check-up of 35 students of a class, their weights were recorded as follows:

Weight (in kg) Number of students

Less than 38 0

Less than 40 3

Less than 42 5

Less than 44 9

Less than 46 14

Less than 48 28

[Marks:4]

29 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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Less than 50 32

Less than 52 35

Draw a less than type ogive for the given data. Hence obtain the median weight from the graph.

33]Draw the graphs of the equations x - y + 1 = 0 and 3x + 2y - 12

=0. Determine the coordinates of the vertices of the triangle formed

by these lines and the x-axis, and shade the triangular region.

[Marks:4]

34]Evaluate:

[Marks:4]

SAMPLE PAPER –V

1] The mean of a dataset with 12 observations is calculated as 19.25.If one more value is included in the data, then for the new data with13 observations mean becomes 20. Value of this 13th observation is:

[Marks:1]

A. 31B. 30C. 28D. 29

2] If A and B are the angles of a right angled triangle ABC, right angledat C then 1+cot2A = [Marks:1]

A. cot2BB. tan2BC. cos2BD. sec2B

3] Which of the following numbers is irrational? [Marks:1]

A. 0.23232323B. 0.11111….C. 2.454545…D. 0.101100101010…….

30 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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4]

If and β are the zeroes of the quadratic polynomial f (x) =x2 +2x+1, then is[Marks:1]

A. 2B. 0C. -1D. -2

5]The pair of equations y = 0 and y = -7 has : [Marks:1]

A. infinitely many solutions

B. two solutions

C. one solutionD. no solution

6]How many prime factors are there in prime factorization of 5005? [Marks:1]

A. 7B. 6C. 2D. 4

7]Which of the following is defined? [Marks:1]

A. sec 90°

B. cot 0°C. tan 90°D. cosec 90°

8]

If sin (A - B) = and cos (A + B) = , then the value of B is :[Marks:1]

A. 0°

B. 60°C. 45°

31 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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D. 15°9] Use Euclid's division lemma to show that square of any positive integer is

either of form 3m or 3m + 1 for some integer m. [Marks:2]

10]What must be added to polynomial f(x) = x4 + 2x3 - 2x2 + x - 1 so that the resulting polynomial is exactly divisible by x2 + 2x - 3?

[Marks:2]

11] Determine a and b for which the following system of linear equations has infinite number of solutions 2x - (a -4)y = 2b + 1; 4x - (a -1) y = 5b - 1. [Marks:2]

12]In figure BAC = 90°, AD BC. Prove that: AB2 + CD2 = BD2 + AC2.

[Marks:2]

13]

If tan = 3 sin , then prove that sin2 - cos2 = .

OR

If 7 sin2 + 3 cos2 = 4, then prove that sec + cosec = 2 + .

[Marks:2]

14]Construct a more than cumulative frequency distribution table for

the given data :[Marks:2]

15] Prove that 3 - is an irrational number.OR

Prove that is an irrational number.[Marks:3]

16]Solve for x and y:

= 2; ax - by = a2 - b2

[Marks:3]

17]Find the missing frequency for the given data if mean of distribution is 52.

[Marks:3]

32 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

Class Interval

50 - 60

60 - 70

70 - 80

80 - 90

90 - 100

100 - 110

Frequency 12 15 17 21 23 19

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Wages (In Rs.)

10 - 20

20 - 30

30 - 40

40 - 50

50 - 60

60 - 70

70 - 80

No. of workers

5 3 4 f 2 6 13

OR

Find the mean of following distribution by step deviation method.

Daily Expenditure : 100 - 150 150 - 200 200- 250 250 - 300 300- 350

No. of householders :

4 5 12 2 2

18]Prema invests a certain sum at the rate of 10% per annum of interest and another sum at the rate of8% per annum get an yield of Rs 1640 in one year's time. Next year she interchanges the rates and gets a yield of Rs 40 less than the previous year. How much did she invest in each type in the first year?

OR

Six years hence a man's age will be three times his son's age and three years ago, he was nine times as old as his son. Find their present ages.

[Marks:3]

19] If one solution of the equation 3x2 = 8x + 2k + 1 is seven times the other. Find the solutions and the value of k. [Marks:3]

20] If and are the acute angles of a right triangle, and[Marks:3]

21] In figure ABCD is rectangle in which segments AP and AQ are drawn. Find the length (AP + AQ).

[Marks:3]

22]In figure sides XY and YZ and median XA of a triangle XYZ are

respectively proportional to sides DE, EF and median DB of DEF.

Show that XYZ ~ DEF.

[Marks:3]

33 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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23]In the figure below triangle AED and trapezium EBCD are such that the area

of the trapezium is three times the area of the triangle. Find the ratio .

[Marks:3]

24]Find the median for the following frequency distribution:

Class Interval

10 - 19 20 - 29 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79

Frequency 2 4 8 9 4 2 1

[Marks:3]

25]Find all zeroes of polynomial.

4x4 - 20x3 + 23x2 + 5x - 6 if two of its zeroes are 2 and 3.[Marks:4]

26]Prove the following :

If a line is drawn parallel to one side of a triangle to intersect the

other two sides in distinct points, the other two sides are divided in

the same ratio.

OR

Prove that in a right triangle, the square of the hypotenuse is equal

To the sum of the squares of the other two sides.

[Marks:4]

34 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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27]

OR

= cosec + cot .

[Marks:4]

28] Find the value

of [Marks:4]

29] Form the pair of linear equations in the following problems, and findthe solution graphically."10 students of Class X took part in a Mathematics quiz. If thenumber of girls is 4 more than the number of boys, find the numberof boys and girls who took part in the quiz."

[Marks:4]

30] The following table gives production yield per hectare of wheat of100 farms of a village.Production yield (in kg/ha)

50 - 55

55 - 60

60 - 65

65 - 70 70 - 75

75 - 80

Number of farms

2 8 12 24 38 16

Change the distribution to a more than type distribution and draw ogive.

[Marks:4]

31] Prove that ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides. [Marks:4]

32]Prove that:

[Marks:4]

33]Show that the square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q.

[Marks:4]

34]Calculate the mode of the following frequency distribution table.

Marks No. of Students

above 25

above 35

above 45

above 55

above 65

above 75

52

47

37

17

8

2

[Marks:4]

35 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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above 85 0

SCIENCE

SAMPLE PAPER –I

Total marks of the paper: 90Total time of the paper: 3.5 hrs

General Instructions:

1. The question paper comprises of two sections, A and B you are to attempt both the sections.

2. All questions are compulsory.

3. There is no overall choice. However, internal choice has been provided in all the three questions of five marks category. Only one option in such question is to be attempted.

4. All questions to section A and all questions of section B are to be attempted separately.

5. Question numbers 1 to 3 in section A are mark questions. These are to be answered in one word or one sentence.

6. Question numbers 4 to 7 are two marks questions, to be answered in about 30 words.

7. Question number 8 to 19 is three mark questions, to be answered in about 50 words.

8. Question number 20 to 24 are five mark questions, to be answered in about 70 words.

9. Question numbers 25 to 42 in section B are multiple choice questions based on practical skills. Each question is a one mark question. You are choosing one most appropriate response out of the four provided to you.

10. An addition 15 minutes time has been allotted to read this question paper only.

Questions:1]

A non-metal X exists in two different forms Y and Z. Y is the hardest natural substance, whereas Z is a good conductor of electricity. Identify Y and Z.

[Marks:1]

2]What is the minimum resistance which can be made using five resistors each of 1/5 ?

[Marks:1]

3]When is lactic acid formed in our muscles?

[Marks:2]

4]What is Plaster of Paris? How it is obtained from Gypsum. Write chemical reaction. Give its one use.

[Marks:2]

5]A solution of potassium chloride when mixed with silver nitrate solution, an insoluble white substance is formed. Write the chemical reaction involved and also mention the type of the chemical reaction?

[Marks:2]

36 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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6]Two green plants are kept separately in oxygen free containers, one in the dark and the other in continuous light. Which one will live longer? Give reasons.

[Marks:2]

7]Three 2 resistors, A, B and C, are connected as shown in Figure. Each of them dissipates energy and can withstand a maximum power of 18 W without melting. Find the maximum current that flow through the three resistors.

[Marks:3]

8]Give the events that occur during photosynthesis.

[Marks:3]

9]Describe the steps involved in reflex action.

[Marks:3]

10] Write chemical equations for the reactions taking place when

(i) zinc sulphide is heated in air

(ii) calcination of zinc carbonate is done

(iii) when manganese dioxide is heated with aluminium powder

[Marks:3]

11] (a) Why do we store silver chloride in dark coloured bottles?

(b) How does slaked lime is prepared from calcium oxide.

[Marks:3]

12] Write the balanced chemical equations for the following reactions:

(a) Sodium carbonate on reaction with hydrochloric acid in equal molar concentrations gives sodium chloride and sodium hydrogen carbonate.

(b) Sodium hydrogen carbonate on reaction with hydrochloric acid gives sodium chloride and liberates carbon dioxide.

[Marks:3]

13] A student prepared solutions of (i) an acid and (ii) a base in two separate

beakers. She forgot to label the solutions and litmus paper is not available in the laboratory. Since both the solutions are colourless, how will she distinguish between the two?

[Marks:3]

14] What happens at the synapse between two neurons?

[Marks:3]

15] (a) How much current will an electric bulb draw a 220V source if the bulb

filament is 1200 ?

(b) How much current will an electric heater draw from a 220V source if the resistance of the heater is 100 ?

[Marks:3]

16] Name various plant hormones. Give one function of each.

[Marks:3]

17] What does the direction of thumb indicate in the right-hand thumb rule? In

[Marks:3]

37 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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what way this rule is different from Fleming's left hand rule?18] What is biomass? Explain the principle and working of a biogas plant using a

labeled schematic diagram.[Marks:3]

19] (a) Why does a current carrying conductor kept in a magnetic field experience

force? On what factors does the direction of this force depend? Name and state the rule used for determination of direction of this force.

(b) A magnetic compass shows a deflection when placed near a current carrying wire. How will the deflection of the compass get affected if the current in the wire is increased? Support your answer with a reason.

OR

(a) What is the function of an earth wire? Why is it necessary to earth metallic appliances?

(b) Two circular coils A and B are placed closed to each other. If the current in the coil A is changed, will some current be induced in the coil B? Give reason.

[Marks:5]

20] (a) Salt A commonly used in bakery products on heating gets converted into

another salt B which itself is used for removal of hardness of water a gas C is evolved. The gas C when passed through lime water turns it milky. Identify A, B and C.

(b) Write any two uses of bleaching powder

OR

(a) Write word equations and then balanced equations for the reaction taking place when –

(i) dilute sulphuric acid reacts with zinc granules.

(ii) dilute hydrochloric acid reacts with magnesium ribbon.

(b) What is a neutralisation reaction?

(c) Give two important uses of washing soda.

[Marks:5]

21] (a) Write the electron dot structures for sodium magnesium and oxygen.

(b) Show the formation of Na2O and MgO by transfer of electrons.

(c) What are the ions present in these compounds.

(d) Why do ionic compounds have high melting point.

OR

Give reason:

(a) Platinum, gold and silver are used to make jewellery.

(b) Aluminium is a highly reactive metal, yet it is used to make utensils for cooking.

[Marks:5]

38 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir : 9766607104

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(c) Reaction of nitric acid with metals generally does not evolve hydrogen gas.

(d) Carbonate and sulphide ores are usually converted into oxides during the process of extraction.

(e) Copper is used to make hot water tanks and not steel (an alloy of iron).

22] Find out the following in the electric circuit given in Figure.

(a) Effective resistance of two 8 resistors in the combination.

(b) Current flowing through 4 resistors.

(c) Potential difference across 4 resistance.

(d) Power dissipated in 4 resistor.

(e) Difference in ammeter readings, if any.

OR

A current of 1 ampere flows in a series circuit containing an electric lamp and a conductor of 5 when connected to a 10 v battery. Calculate the resistance of the electric lamp. Now if a resistance of 10 is connected in parallel with this series combination, what change (if any) in current flowing through 5 conductor and potential difference across the lamp will take place? Give reason. Draw circuit diagram.

[Marks:5]

23] Draw the diagram of alimentary canal of man and label the following parts:

Mouth

Oesophagus

Stomach

Intestine

Where do carbohydrates, proteins and fats get digested in human beings?

OR

[Marks:5]

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What is the advantage of having four chambered heart? Support your answer with a diagram of the section of a human heart.

24] To study the dependence of current (I) on the potential difference (V) across a

resistor R, two students used the two set ups shown in figure A and B respectively. They kept the contact point J in four different marked, (a), (b), (c), (d) in the two figures

For the two students the ammeter and voltmeter reading will be maximum when the contact J is in the position:

[Marks:1]

A. (d) in both the set upsB. (a) in both the set upsC. (a) in set up A and (d) in set up BD. (d) in set up A and (a) in set up B

25] The pH values of distilled water, fruit juice and sodium bicarbonate were

measured using pH papers. What is the correct decreasing order of pH values[Marks:1]

A. Water > Fruit juice > Sodium bicarbonate

B. Fruit juice > Water > Sodium bicarbonate

C. Water > Sodium bicarbonate > Fruit juice

D. Sodium bicarbonate > Water > Fruit juice

26] In an experiment to test the pH, of a given sample using pH paper, four

students recorded the following observations.

Sample taken. pH paper colour turned to.

(I) Water Green

(II) Dil. HCl Red

(III) Dil. NaOH Blue

[Marks:1]

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(IV) Dil. Acetic acid Orange

Which one will have pH value of 7?A. IIB. IIIC. IVD. I

27] A student performed the starch test on a leaf. Some steps involved are shown

below.

The correct sequence of steps should be:

[Marks:1]

A. D, C, B, AB. A, B, C, DC. B, C, D, AD. A, C, D, B

28] Four students studied reactions of zinc and sodium carbonate with dilute

hydrochloric acid and dilute sodium hydroxide solutions and presented their results as follows. The '√' represents evolution of gas whereas 'X' represents absence of any reaction,

The right set of observations is that of student

[Marks:1]

A. BB. C

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C. DD. A

29] A sample of soil is mixed with water and allowed to settle. The clear

supernatant solution turns the pH paper yellowish-orange. Which of the following would change the colour of this pH paper to greenish-blue?

[Marks:1]

A. Lemon juiceB. VinegarC. Common saltD. An antacid

30] Which one is not observed when aluminium is added to solution of copper

sulphate?[Marks:1]

A. The solution is blue in the beginning

B. The final solution becomes colourless

C. A brown mass is deposited on the surface of Aluminium

D. The final solution becomes light green

31] A more reactive metal displaces a less reactive metal from the aqueous

solution of the latter. From the following sets tell which one represents a correct picture of both the possible (√) reactions and impossible (x) reactions between metals and the solutions of different salts.

[Marks:1]

A.

Metal Al2(SO4)3 CuSO4 FeSO

(b) Cu √ x X

B.

Metal Al2(SO4)3 CuSO4 FeSO

(c) Fe √ √ X

C.

Metal Al2(SO4)3 CuSO4 FeSO

(d) Zn x √ X

D.

Metal Al2(SO4)3 CuSO4 FeSO

(a) Al x √ √32] In the experiment on finding the equivalent resistance of two resistors

connected in parallel three students connected the Voltmeter in their circuits in the three ways X, Y and Z shown here.

[Marks:1]

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The voltmeter has been correctly connected in.A. cases X and Y onlyB. cases Y and Z onlyC. cases Z and X onlyD. all the three cases

33] Identify the circuit (Figure) in which the electrical components have been

properly connected.

[Marks:1]

A. (i)B. (iii)C. (iv)D. (ii)

34] The rest positions of the needles in a milliammeter and voltmeter when not

being used in a circuit are as shown in the figure. The zero error and 'least count' of these two instruments are.

[Marks:1]

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A. (+4mA, -0.2V) and (1mA, 0.1V) respectively

B. (+4mA, -0.2V) and (2mA, 0.2V) respectively

C. (-4mA, +0.2V) and (2mA, 0.2V) respectively

D. (-4mA, +0.2V) and (2mA, 0.1V) respectively

35] Two students (A) and (B) connect their two given resistors R1 and R2 in the

manners shown below.

Student A connects the terminals marked b1 and c1 while student B connects the terminals marked d2and c2 in their respective circuits at the points marked X and Y.

Which one of the following is correct in relation to above arrangement

[Marks:1]

A.both the students will determine the equivalent resistance of the series combination of the two resistors

B. both the students will determine

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the equivalent resistance of the parallel combination of the two resistors.

C.

Student A will determine the equivalent resistance of the parallel combination while student B will determine the equivalent resistance of the series combination of the two resistors.

D.

Student A will determine the equivalent resistance of series combination while student B will determine the equivalent resistance of parallel combination of the two resistors

36] A well stained leaf peel preparation when focused under high power of the

microscope would, show[Marks:1]

A. epidermal cells, stomata, guard cell with many nuclei and one chloroplast cell

B. stomata, and guard cells without nuclei or chloroplasts

C. Stomata, but no guard cells or epidermal cells

D. epidermal cells, stomata, guard cells each with one nucleus and many chloroplasts

37] A student draws the following sketch of stomatal apparatus the part I, II, III and

IV are labeled differently by four students.

The correct labeling out of the following is

[Marks:1]

A. I Guard cell II stoma

III starchgranule IV nucleus

B. I Guard cell II starch granule

III Nucleus IV stoma45 For Solution’s Contact : Ajay Sir : 9766607105 / Dheeraj Sir :

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C. I cytoplasm II chloroplast

III stoma IV nucleus

D. I Cytoplasm II nucleus

III stoma IV chloroplast38] Given below are four different set ups to show that CO2 is released during

respiration.

[Marks:1]

A. AB. BC. DD. C

39] What is the use of KOH solution in this experiment?

[Marks:1]

A. Absorbs O2 released by germinating seeds

B. Absorbs moisture released by the seeds

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C. None of these

D. Absorbs CO2 released by germinating seeds

40] To observe cells in an onion peel, we must prepare the slide by mounting on it:

[Marks:1]

A. Crushed pulp of onionB. Dry scale leafC. Green leaf of onionD. Thin layer of fleshy leaf of onion

41] B1, B2 and B3 are three identical bulbs connected as shown in the Figure.

When all the three bulbs glow, a current of 3A is recorded by the ammeter A.

(i) What happens to the glow of the other two bulbs when the bulb B1 gets fused?

[Marks:1]

A. B2 gets dimmer and B3 glows brighter

B. B3 gets dimmer and B2glows brighter

C. B3 and B2 both will glow more

D. The glow of the bulbs B2 and B3 will remain the same

SAMPLE PAPER –II

Questions:1]

Name one metal which has low melting point: [Marks:1]

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2]Which part of brain is responsible for precision of voluntary actions? [Marks:1]

3]Why ventricles have thicker walls than auricles? [Marks:1]

4]What is commercial unit of energy? [Marks:2]

5]What is redox reaction? When magnesium ribbon burns in the air and forms a white ash, is magnesium oxidized or reduced?

[Marks:2]

6]A milkman added a small amount of baking soda to fresh milk.

(a) Why does he shift the pH of fresh milk to slightly alkaline?

(b) Why does this milk take a longer time to set as a curd?

[Marks:2]

7]Name the two glands associated with the digestive system in humans. Name their secretion also.

[Marks:2]

8](a) What happens when Iron nails are kept into a Copper sulphate solution? Write the balanced chemical equation for the reaction.

(b) Give one example of precipitation reaction.[Marks:3]

9](a) What are ionic compounds?

(b) Give the formation of MgCl2 from Mg and Cl2[Marks:3]

10]Explain why:

(a) Respiration is an exothermic reaction?

(b) All decomposition reactions are endothermic reaction?

(c) When blue salt of copper sulphate is heated, it becomes colourless?

[Marks:3]

11]You are provided with three test tubes A, B, C which contain distilled water, Acidic and basic solutions. If you are given blue litmus paper only, how will you identify the nature of the solutions in three test tubes.

[Marks:3]

12]A 500W electric iron used in a house for 2 hours per day. Calculate the cost to use it for 60 days at Rs 3.20 per kWh.

[Marks:3]

13]Calculate the effective resistance between P and Q.

[Marks:3]

14]Give reasons for the following:

(i) The glottis is guarded by epiglottis.

(ii) The lungs alveoli are covered with blood capillaries.

[Marks:3]

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(iii) The wall of the trachea is supported by cartilage rings15]

Write the functions of parts of hind brain. [Marks:3]

16]Draw a labeled diagram of a Neuron. Explain its Functions [Marks:3]

17]Name the hormone synthesized at the shoot tips. How does it help the plant to response to light?

[Marks:3]

18]How will the magnetic field Produced in a current carrying a circular coil change if we

(i) Increase the value of current.

(ii) Increase the distance from the coil

(iii) Increase the no. turns of the coil

[Marks:3]

19]Write three limitations of harnessing three types of energy from Oceans. [Marks:3]

20]Draw a labelled diagram of Human Heart. Draw a table to show the functions of any two chambers of Human Heart.

OR

(a) Draw a labelled diagram of Stomata.

Write two Functions of Stomata.

(b) What are the raw materials used during photosynthesis. Write chemical equation for photosynthesis.

[Marks:5]

21](a) Write the chemical name and formula of washing soda. How is it prepared? Write the chemical equation of the reaction.

(b) Why does distilled water not conduct electricity, whereas rain water does?

OR

(a) Five solutions A, B, C, D and E when tested with universal indicator showed pH as

4, 1,11,7 and 9, respectively. Which solution is

(i) neutral?

(ii) strongly alkaline?

(iii) strongly acidic?

(iv) weakly acidic?

(v) weakly alkaline?

Arrange the pH in increasing order of hydrogen-ion concentration.

[Marks:5]

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(b) Equal lengths of magnesium ribbons are taken in test tubes A and B. Hydrochloric acid (HCl) is added to test tube A, while acetic acid (CH3COOH) is added to test tube B. In which test tube will the fizzing occur more vigorously and why?

22]A metal E is stored under kerosene. When a small piece of it is left open in the air, it catches fire. When the product formed is dissolved in water, it turns red litmus to blue:

(i) Name the metal E.

(ii) Write the chemical equation for the reaction when it is exposed to air and when the product is dissolved in water. (iii) Explain the process by which the metal is obtained from its molten chloride.

OR

What are alloys? How are they made? Name the constituents and uses of brass, bronze and solder.

[Marks:5]

23]What is a solenoid? Draw the patterns of magnetic field lines of a solenoid through which a steady current flows? What does the pattern of field lines inside the solenoid indicate? Write a use of it.

OR

(a) State the rule to determine the direction of a

(i) Magnetic field produced around a straight conductor carrying current

(ii) Force experienced by current – carrying straight conductor placed in a magnetic field which in perpendicular to it.

(iii) Current induced in a coil due to its rotation in a magnetic field.

(b) What is the function of an earth wire? Why is it necessary to earth metallic appliances?

[Marks:5]

24](a)A coil of insulated wire is connected to a galvanometer. What would be seen if a bar magnet with its south pole towards one Face of the coil is:

(a) Moved quickly towards it?

(b) Moved quickly away from it?

(c) Placed near its one face?

(d) Name the phenomena involved?

(b) What are renewable sources of energy? Give two examples and one use of each.

OR

(a)Which gas is filled in the electric bulb and why?

(b)On what factors do the resistance of a conductor depend and how? Write

[Marks:5]

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SI unit of resistance.25]

The graph between current (I) and potential difference (V) in the experimental verification of Ohm's Law drawn by four students. Which one is correct?

[Marks:1]

A.

B.

C.

D.

26]While performing the experiment on studying the dependence of current (I) on the potential difference (v) across a resistor four students I, II, III, and IV set up the circuit as shown:

[Marks:1]

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The correct result will be obtained by the student:A. IB. IIIC. IVD. II

27]For the circuits shown in figures I and II, the ammeter readings would be

[Marks:1]

A. 0A in Circuit I and 1A in Circuit IIB. 0A in both CircuitsC. 1A in both CircuitsD. 1A in Circuit I and 0A in Circuit II

28]Three resistors each having same resistance are connected in parallel. Their equivalent resistance is 1 . If they are connected in series, their equivalent resistance will be:

[Marks:1]

A. 3

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B. 1C. 6D. 9

29]The resistors R1 and R2 are connected in

[Marks:1]

A. Parallel in both circuitsB. Series in both circuits

C. Series in circuit I and in parallel in circuit II

D. Parallel in circuit I and in series in circuit II

30]Identify A and B in the following figure :

[Marks:1]

A. A=Gas chamber,B=MixtureB. B =Gas chamber, A =MixtureC. None of the above

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D. A=Digestor,B=Gas outlet31]

Which of the following stain is used to see the stomata during temporary mount of leaf peel?

[Marks:1]

A. Methylene blueB. Cotton blueC. None of theseD. Safrainin

32]To remove chlorophyll, the leaf is boiled into: [Marks:1]

A. WaterB. Iodine solutionC. None of theseD. Alcohol

33]In an experiment to show that sun light is necessary for photosynthesis. The leaf is boiled in alcohol for a few minutes using a water bath. It is essential because:

[Marks:1]

A. Alcohol is highly volatile

B. Steam from the water bath heats the leaf rapidly

C. Steam from the water bath dissolve the chlorophyll

D. Alcohol is inflammable34]

To show that CO2 is released during respiration we take [Marks:1]

A. Dry SeedsB. Boiled seedsC. Wet seedsD. Germinating seeds

35]The function of KOH in the experimental set up to show that CO2 is released during respiration is:

[Marks:1]

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A. To enhance respirationB. To release Oxygen for respiration

C. To remove water vapour from the flask

D. To absorb CO2 released by germinating seeds

36]In an experiment on photosynthesis we cover a portion of leaf 'A', of a de-starched potted plant with a red coloured strip, a portion of another leaf B with black and a portion of leaf C with a green strip and then keep the plant in sunlight so that photosynthesis may place.

After four hours on performing starch test the result showed no starch formation in the

[Marks:1]

A. Covered portion of leaf AB. Covered portion of leaf BC. Covered portion of leaf C

D. Covered portion of any of the above

37]The pH value of a solution is in the range of 6 to 8. What is the colour developed when a student adds 3 drops of universal indicator in the solution?

[Marks:1]

A. RedB. BlueC. OrangeD. Green

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38]The pH values of distilled water, fruit juice and sodium bicarbonate were measured using pH papers. What is the correct decreasing order of pH values

[Marks:1]

A. Water > Fruit juice > Sodium bicarbonate

B. Fruit juice > Water > Sodium bicarbonate

C. Water > Sodium bicarbonate > Fruit juice

D. Sodium bicarbonate > Water > Fruit juice

39]Four students studied reactions of zinc and sodium Carbonate with dilute hydrochloric acid and dilute sodium hydroxide solutions and presented their results as follows. The '√' represents evolution of gas whereas 'X' represents absence of any reaction,

The right set of observations is that of student

[Marks:1]

A. BB. CC. DD. A

40]If Iron Nails are kept in CuSO4 solution for two hours, the colour of the solution will change in to

[Marks:1]

A. PinkB. RedC. YellowD. Light green

41]When a drop of an unknown solution X is placed on a strip of pH paper, a deep blue colour is produced. This sample should be which one of the following?

[Marks:1]

A. Lemon juice

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B. WaterC. HClD. NaOH

42]Which of the statements about the reaction below are incorrect?

2PbO(s) + C(s) 2Pb(s) + CO2 (g)

(i) Lead is getting reduced.

(ii) Carbon dioxide is getting oxidised.

(iii) Carbon is getting oxidised.

(iv) Lead oxide is getting reduced.

[Marks:1]

A. (i) and (iii)B. (i), (ii) and (iii)C. AllD. (i) and (ii)

SAMPLE PAPER –IIIQuestions:1]

Balance the chemical equation:[Marks:1]

2]What are the gustatory receptors? [Marks:1]

3]What is solar panel? [Marks:1]

4]What are the two vital functions of the human kidneys? [Marks:2]

5]What happens when a strip of zinc is dipped into copper sulphate solution? Write the balanced chemical equation of the reaction.

[Marks:2]

6]Fresh milk has a pH of 6. How do you think the pH will change as it turns into curd? Explain

[Marks:2]

7]On what factors does the resistance and resistivity of a conductor depend? Write SI unit of resistance.

[Marks:3]

8]Why do we use parallel circuit arrangement for domestic wiring? Give three reasons.

[Marks:3]

9]A coil of insulated wire is connected to a galvanometer. What would be seen if

a bar magnet with its south pole is brought towards one Face of the coil is:

[Marks:3]

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(a) Moved quickly towards it?

(b) Moved quickly away from it?

(c) Placed near its one face?

(d) Name the phenomena involved?

(e) North pole of bar magnet is brought towards the same face of the coil.

(f) North pole of bar magnet is kept stationary near the same face of the coil.

10]What do the following transport:

(i) Xylem

(ii) Pulmonary artery

(i) pulmonary Vein

(ii) Phloem

[Marks:2]

11]What are the constituents of biogas? Write any two uses of this gas. [Marks:3]

12]Give reason:

(i) Ionic compounds have high melting point

(ii) Ionic compounds are hard crystalline solids.

(iii) Which gas is produced when dilute hydrochloric acid is added to a reactive metal?

[Marks:3]

13](a) What is redox reaction? When magnesium ribbon burns in the air and forms a white residue, is magnesium oxidized or reduced?

(b) Why should chemical equations be balanced?

[Marks:3]

14]Name the type of chemical reaction represented by the following equation and also mention the type endothermic/exothermic:

[Marks:3]

15](i)Write the chemical name and formula of "Plaster of Paris".

(ii) How is it prepared?

(iii)Write chemical equations of the reaction.

[Marks:3]

16](i) A 400W refrigerator operates for 16 hrs/day, calculate the cost to operate it for 30 days at Rs 3.40 per kWh.

[Marks:3]

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(ii) Calculate the effective resistance between P and Q

17]Explain the digestion in stomach. [Marks:3]

18]Mention any three important functions of fore brain. [Marks:3]

19]Draw a labeled diagram of a Neuron. Explain its Functions [Marks:3]

20]What is an endocrine gland? Name any two endocrine glands present in a human body and write hormones secreted by them.

[Marks:5]

21](a) You are provided with three test tubes A, B, C which contain- distilled water, Acidic and basic solutions respectively. If you are given blue litmus paper only, how will you identify the nature of the solutions in three test tubes.

(b) Plaster of Paris should be stored in a moisture-proof container. Explain why?

OR

(a) Give two important uses of washing soda and baking soda.

(b) Why do acids not show acidic behaviour in the absence of water?

[Marks:5]

22]A metal E is stored under kerosene. When a small piece of it is left open in the air, it catches fire. When the product formed is dissolved in water it turns red litmus to blue:

(i) Name the metal E.

(ii) Write the chemical equation for the reaction when it is exposed to air and when the product is dissolved in water.

(iii) Explain the process by which the metal is obtained from its molten chloride.

OR

[Marks:5]

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What are alloys? How are they made? Name the constituents and uses of brass, bronze and solder.

23]What is a solenoid? Draw the patterns of magnetic field lines of a solenoid through which a steady current flows? What does the pattern of field lines inside the solenoid indicate? Write a use of it.

OR

(a) State the rule to determine the direction of a

(i) Magnetic field produced around a straight conductor carrying current

(ii) Force experienced by current – carrying straight conductor placed in a magnetic field which in perpendicular to it.

(iii) Current induced in a coil due to its rotation in a magnetic field.

(b) What is the function of an earth wire? Why is it necessary to earth metallic appliances.

[Marks:5]

24]Draw a labeled diagram of Human Heart. Draw a table to show the functions of any two chambers of Human Heart.

OR

(a) Draw a labeled diagram of Stomata.

Write two Functions of Stomata.

(b) What are the raw materials used during photosynthesis. Write chemical equation for photosynthesis.

[Marks:5]

25]The pH value of a solution is in the range of 6 to 8. What is the colour developed when a student adds 3 drops of universal indicator in the solution

[Marks:1]

A. RedB. BlueC. OrangeD. Green

26]The pH values of distilled water, fruit juice and sodium bicarbonate were measured using pH papers. What is the correct decreasing order of pH values

[Marks:1]

A. Water > Fruit juice > Sodium bicarbonate

B. Fruit juice > Water > Sodium bicarbonate

C. Water > Sodium bicarbonate > Fruit juice

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D. Sodium bicarbonate > Water > Fruit juice

27]Four students studied reactions of zinc and sodium Carbonate with dilute hydrochloric acid and dilute sodium hydroxide Solutions and presented their results as follows. The '√' represents evolution of gas whereas 'X' represents absence of any reaction,

(A) (B) (C) (D)

[Marks:1]

A. BB. CC. DD. A

28]When dilute HCl reacts with Zinc metal, the gas liberated is? [Marks:1]

A. OxygenB. NitrogenC. ChlorineD. Hydrogen

29]If Iron Nails are kept in CuSO4 solution for two hours, the colour of the solution will change in to

[Marks:1]

A. PinkB. Light greenC. YellowD. Red

30]An element reacts with oxygen to give a compound with a high melting point. This compound is also soluble in water. The element is likely to be:

[Marks:1]

A. CarbonB. SiliconC. IronD. Calcium

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31]If four resistors each of 1 are connected in parallel. The effective resistance will be:

[Marks:1]

A. 0.5B. 4C. 2D. 0.25

32]For the circuits shown in figures I and II, the ammeter readings would be

[Marks:1]

A. 0A in Circuit I and 1A in Circuit IIB. 0A in both CircuitsC. 1A in both CircuitsD. 1A in Circuit I and 0A in Circuit II

33]Three resistors each having same resistance are connected in parallel. Their equivalent resistance is 1 . If they are connected in series, their equivalent resistance will be:

[Marks:1]

A. 3B. 1C. 6D. 9

34]Each of the resistances in the above question will be :

[Marks:1]

A.2

B. 9C. 1

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D. 335]

The resistors R1 and R2 are connected in

[Marks:1]

A. Parallel in both circuitsB. Series in both circuits

C. Series in circuit I and in parallel in circuit II

D. Parallel in circuit I and in series in circuit II

36]The graph between current (I) and potential difference (V) in the experimental verification of Ohm's Law drawn by four students. Which one is correct?

[Marks:1]

A.

B.

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C.

D.

37]Temporary mount of a peel is made in: [Marks:1]

A. AlcoholB. WaterC. AcetoneD. Glycerine

38]To remove chlorophyll, the leaf is boiled in to: [Marks:1]

A. WaterB. Iodine solutionC. None of theseD. Alcohol

39]In the following sketch of the stomatal apparatus the parts I, II, III and IV were labeled differently by four students.

[Marks:1]

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The correct labeling out of the following is:

A.

(I) Guard cell

(II) Stoma

(III) Starchgranule

(IV) nucleus

B.

(I) Cytoplasm

(II) Chloroplast

(III) Stoma

(IV) nucleusC.

D.

(I) Guard cell

(II) Nucleus

(III) Stoma

(IV) Chloroplast

40]To show that CO2 is released during respiration we take [Marks:1]

A. Dry seedsB. Boiled seedsC. Wet seedsD. Germinating seeds

41]The function of KOH in the experimental set up to show that CO2 is released during respiration is:

[Marks:1]

A. To enhance respirationB. To release oxygen for respirationC. To remove water vapour from the

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flask

D. To absorb CO2 released by germinating seeds

42]In an experiment on photosynthesis we cover a portion of leaf 'A', of a de-starched potted plant with a red coloured strip, a portion of another leaf B with black and a portion of leaf C with a green strip and then keep the plant in sunlight so that photosynthesis may place.

After four hours on performing starch test the result showed no starch formation in the

[Marks:1]

A. Covered portion of leaf AB. Covered portion of leaf BC. Covered portion of leaf C

D. Covered portion of any of the above

SAMPLE PAPER –IV

questions:1]

Name one Metal and one Non-Metal which exists in liquid state at room temperature?

[Marks:1]

2]How is brain protected from shocks and injuries?

[Marks:1]

3]Name the instrument used for measuring:

(i) Potential difference (ii) Current

[Marks:1]

4]Define double displacement reaction with the help of an example.

[Marks:2]

5]HCl and HNO3 show acidic characters in aqueous solution while alcohol and glucose solutions do not. Give reasons.

[Marks:2]

6]What happens to glucose that enters the nephron along with the filtrate?

[Marks:2]

7]How many electrons will flow through a wire when the charge of 4C flows for 2 sec? Also find the current.

[Marks:2]

8]A wire is cut into three equal parts and then connected in parallel with the same source. How will its:(a) Resistance (b) resistivity gets affected?

[Marks:3]

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(c) How would the total current and the current through the parts change?9]

How does the strength of the Magnetic field at the centre of a circular coil of a wire depend on

(a) Radius of the coil (b) number of turns of wire in the coil?

(c) Draw the magnetic lines of force in case of a circular coil of a wire.

[Marks:3]

10]How are water and minerals absorbed by the plant?

[Marks:3]

11]What are the disadvantages of using fossil fuels? Give two instances where

solar cells are exclusively used as source of energy.[Marks:3]

12](a) With the help of a suitable example, explain Oxidation and Reduction in terms of gain or loss of oxygen.

(b) Identify the substances that are oxidised and the substances that are reduced in the following reaction:

4Na(s) + O2(g) 2Na2O(s)

[Marks:3]

13](a) What are ionic compounds? Ionic compounds conduct electricity only in molten state not in solid state. Why?

(b). Why do ionic compounds have high melting points?

[Marks:3]

14]What are exothermic and endothermic reaction. Explain with the help of one example each.

[Marks:3]

15]The pH of the mouth of a person is lower than 5.5. What changes will occur in his mouth? How these changes can be controlled? Write any two measures.

[Marks:3]

16]Mention any three important functions of fore brain.

[Marks:3]

17]Give the events that occur during photosynthesis.

[Marks:3]

18]Name the hormones secreted by Thyroid, Pancreas and Adrenal glands. Write a function of each hormone

[Marks:3]

19]Tendril encircles or coils around the object in contact with it. Elaborate.

[Marks:3]

20]A sanitary worker uses a white chemical having strong smell of chlorine gas to disinfect the water tank.

(a) Identify the chemical compound.

(b) Write the chemical formula.

(c) Write chemical equation for preparing it.

(d) Write its any two uses.

OR

[Marks:5]

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(a) Write an equation to show the reaction between Plaster of Paris and water.

(b) Name the substance which on treatment with chlorine yields bleaching powder.

(c) Name the sodium compound which is used for softening hard water.

(d) What will happen if a solution of sodium hydrocarbonate is heated? Give the equation of the reaction involved.

21]Define corrosion. Name a metal which corrodes and one metal which does not.

Write any three methods of prevention of corrosion.

OR

Write balanced chemical equation for the reactions taking place when

(i) Zinc carbonate is calcinated.

(ii) Zinc sulphide is roasted.

(iii) Zinc oxide is reduced to Zinc.

(iv) Cinnabar is heated in the air.

(v) Magnese dioxide is heated with Aluminium Powder.

[Marks:5]

22]Draw a neat diagram of Respiratory System in Humans and label the following:

(i) Trachea (ii) Bronchi (iii) Lungs (iv) Larynx

Where does exchange of gases take place?

OR

Draw neat diagram of digestive system. Label its all parts. How the main components of the food digested in the small intestine? Explain.

[Marks:5]

23](a) Draw a schematic diagram of the common domestic circuit.

(b) Write difference between overloading and short circuiting.

OR

Answer the following questions:

(i) What is the direction of magnetic field lines outside a bar-magnet?

(ii) What is SI unit of magnetic field?

(iii) What does crowding of magnetic field lines indicate?

(iv) What is the frequency of A.C. in India?

(v) Name two organs in human body where magnetic field is quite significant.

[Marks:5]

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24](i)An electric heater connected to a 220V lines has two resistance coil of 22 Ohms each. Calculate the current if these coils are used

(a) Separately (b) In series (c) In Parallel

(ii) Write two advantages and two limitations of using Solar Cooker.

OR

What happens to the deflection of the compass needle at a point near current carrying straight conductor

(a) If the current is increased.

(b) If the direction of current in the conductor is changed.

(c) If compass is moved away from the conductor.

(d) Draw the diagram showing the magnetic field lines around the straight current carrying wire.

[Marks:5]

25]Four students (a), (b), (c) and (d) measured the pH values of water, lemon juice and sodium bicarbonate solution. What is the correct decreasing order of pH values?

[Marks:1]

A. water > lemon juice > sodium bicarbonate

B. lemon juice > water > sodium bicarbonate

C. water > sodium bicarbonate > lemon juice

D. sodium bicarbonate > water > lemon juice

26]A drop of solution 'X' is placed on a strip of pH paper. A deep red colour in produced. The solution 'X' is:

[Marks:1]

A. NaOHB. WaterC. Na2CO3

D. HCl27]

Zinc granules were added to zinc sulphate, copper sulphate, aluminium sulphate and iron sulphate solutions as shown below. You would observe the deposition of metal on zinc in beakers:

[Marks:1]

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A. I and IIIB. I and IIC. II and IVD. II and IV

28]Four students performed the reactions of a dil Hydrochloric acid and a solution of sodium hydroxide with zinc metal and solid sodium carbonate separately. They reported the possible reaction by (√) and no reaction by (X). In which of the following sets all observations are correct?

[Marks:1]

A.

Set HCl+Zn HCl+Na2CO3 NaOH+Zn

(a) √ √ √

B.

Set HCl+Zn HCl+Na2CO3 NaOH+Zn

(b) x x √

C.

Set HCl+Zn HCl+Na2CO3 NaOH+Zn

(c) √ √ X

D.

Set HCl+Zn HCl+Na2CO3 NaOH+Zn

(d) √ √ √29]

On adding a few drops of universal indicator to three colourless solutions taken separately in three test tubes labeled P, Q, R respectively the colours developed in the solutions are marked in the following figures:

What is the correct decreasing order of pH. Values of the solutions.

[Marks:1]

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A. P > Q > RB. Q > P > RC. R > Q > PD. R > P > Q

30]Fe2O3 + 2Al Al2O3 + 2Fe

The above reaction is an example of a

[Marks:1]

A. Combination reactionB. Double displacementC. Decomposition reactionD. Displacement reaction

31]To determine the equivalent resistance of three resistors, when connected in a parallel arrangement, Four students connected the resistors as follows.

The correct set up is that of student.

[Marks:1]

A. AB. CC. DD. B

32]A student has to connect 4 cells of 1.5V each, to form a battery of voltage 6V

[Marks:1]

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The correct way of connecting these cells is shown in figure.A. BB. CC. DD. A

33]The correct set up for studying the dependence of the current on the potential difference across a resistor is:

[Marks:1]

A. AB. BC. DD. C

34]Four resistors are connected in Parallel. Each has a resistance 2 . The effective resistance is:

[Marks:1]

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A. 8B. 4C. 0.25D. 0.5

35]The following circuit diagram shows the experimental set up for the study of dependence of current on potential difference. Which two circuit components are connected in series.

[Marks:1]

A. Battery and voltmeterB. Ammeter and voltmeterC. Resistor and voltmeterD. Ammeter and rheostat

36]Calculate the Equivalent Resistance from the following combination of resistors.

[Marks:1]

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A. 2 B. 3 C. 1.5 D. 1

37]In an experiment on photosynthesis we cover a portion of leaf 'A', of a de-starched potted plant with a red coloured strip, a portion of another leaf B with black and a portion of leaf C with a green strip and then keep the plant in sunlight so that photosynthesis may place.

After four hours on performing starch test the result showed no starch formation in the

[Marks:1]

A. Covered portion of leaf AB. Covered portion of leaf BC. Covered portion of leaf C

D. Covered portion of any of the above

38]Coverslip is put on the slide very gently to avoid:

[Marks:1]

A. Crushing of the materialB. Oozing of glycerineC. None of theseD. Entry of air bubbles

39]The figure that correctly depicts the removal of chlorophyll is:

[Marks:1]

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A. IB. IIC. IIID. IV

40]Leaves are destarched by keeping the plant in:

[Marks:1]

A. Dark room for 3 hoursB. Light for 03 hoursC. Light for 03 daysD. Dark room for 03 days

41]In the following sketch of the stomatal apparatus, the parts I, II, III and IV were labeled differently by four students.

The correct labeling out of the following is:

[Marks:1]

A. I guard cell II stoma III starch granule IV nucleus

B. I guard cell II starch III nucleus IV stoma

C. I cytoplasm II chloroplast III stoma IV nucleus

D. I cytoplasm II nucleus III stoma IV chloroplast

42]After performing the experiment to show that germinating seeds give out carbon dioxide during respiration, students drew the following diagrams

[Marks:1]

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The correct labeled diagram isA. AB. BC. CD. D

SAMPLE PAPER –V

Questions:1]

Name the hormone that controls the rate of respiration. Also name the part of the brain responsible for controlling respiration.

[Marks:1]

2]Why is it advised not to use copper or brass vessels to store pickles or curd? [Marks:1]

3]Which is having more resistance: A 100 W bulb or a 60 W bulb? [Marks:1]

4]Write the balance chemical equation for the chemical reaction between Manganese dioxide and Aluminium powder. What happens if Manganese powder is heated with Aluminium oxide?

[Marks:2]

5]A white powder is added while baking breads and cakes to make them soft and fluffy. What is the name of the powder? What are the main ingredients in it? What are the functions of each ingredient?

[Marks:2]

6]Write any two causes that may damage the kidney of a person. [Marks:2]

7]Explain the significance of peristaltic movement that occurs all along the gut during digestion.

[Marks:2]

8]You are given two solar cookers, one with a plane mirror as reflector and the other with concave mirror as reflector. Which one is more efficient? Give reason for your answer. State one more use of concave mirror.

[Marks:3]

9]State the law that relates current through a conductor and the potential difference between its ends. Represent the law mathematically. Represent graphically, the variation of current I as a function of potential difference V.

[Marks:3]

10]In the circuit diagram shown, the two resistance wires A and B are of same

[Marks:3]

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length and same material, but A is thicker than B. Which ammeter A1 or A2 will indicate higher reading for current? Give reason.

11]A student while studying the force experienced by a current carrying conductor in a magnetic field records the following observations

(a) The force experienced by the conductor increases as the current is increased

(b) The force experienced by the conductor decreases as the strength of the magnetic field is increased.

(c) Which of the two observations is correct and why? What is resistance of a conductor due to?

[Marks:3]

12]A solution of a substance 'X' is used for white washing.

(i) Name the substance 'X' and write its formula.

(ii) Write the reaction of the substance 'X' named in (i) above with water.

(iii) Write the balanced equation for the following chemical reaction:

Barium chloride + Aluminium sulphate Barium sulphate + Aluminium chloride

[Marks:3]

13]What is the main ore of mercury? Explain, how mercury is obtained from this ore? Also write the reaction involved in the extraction

[Marks:3]

14](a) Define 'water of crystallisation'.

(b) Give two examples of substances having water of crystallization. Write their chemical formula also.

[Marks:3]

15](a) Using a simple experiment, how can you prove that Magnesium is placed above Zinc in the reactivity series?

(b) Why copper metal cannot liberate Hydrogen when reacting with dil. HCl?[Marks:3]

16]Draw a diagram of human brain and label any four parts. Write one function each of any two parts.

[Marks:3]

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17]What is chemotropism? Give one example. Name any two plant hormones and mention their functions.

[Marks:3]

18]Write one feature which is common to each of the following pairs of terms:

(i) Glycogen and starch

(ii) Chlorophyll and haemoglobin

(iii) Arteries and veins

[Marks:3]

19]How are involuntary actions different from reflex actions? [Marks:3]

20]Two identical resistors, each of resistance 50 are connected (i) in series (ii) in parallel, in turn; to a battery of 10 V. Calculate the power consumed in the combination of resistor in the two cases and ratio of the power consumed in the combination of resistor in the two cases.

OR

Two resistors of resistance 3 and 6 respectively are connected to a battery of 6V so as to have:Maximum resistance and maximum current. Suggest the probable method of resistor combination and the corresponding current that will flow through the circuit. Which sort of connection is preferable in house hold circuits?Give one reason.

[Marks:5]

21](a) Name the process by which sodium hydroxide is prepared from sodium Chloride? Why it is called so process and write down the balanced chemical equation.

(b) What will be the pH of the following salts?

(i) Salt made of strong acid and strong base

(ii) Salt made of strong acid and weak base

OR

(a) A milkman adds a very small amount of baking soda to fresh milk.

(i) Why does he shift the pH of the fresh milk from 6 to slightly alkaline?

(ii) Why does this milk take a long time to set as curd?

(b) What is a neutralisation reaction? Give two examples.

[Marks:5]

22](a) What are amphoteric oxides? Give two examples.

(b) Metals such as Sodium and Potassium are kept immersed is Kerosene, why?

(c) Give the balanced chemical equation for the reaction between Al and steam.

[Marks:5]

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(d) Name a non metal

(i) Which is a liquid at room temperature?

(ii) Which is lustrous?

OR

(a) What are the main two allotropes of carbon? Distinguish these two allotropes on the basis of hardness and electrical conduction.

(b) Why Aluminium articles have a longer life and attractive finish compared to many other metals?

(c) Explain the following terms

(i) Ore

(ii) Gangue

(d) What is common feature in the electronic configuration of metal atom?23]

(a) Draw diagram of human alimentary canal and label the following

(i) Part in which starch digestion starts

(ii) Part in which bile is stored

(iii) Part in which nutrients are absorbed

(iv) Part in which water is absorbed

(b) Mention the role of hydrochloric acid in the stomach.

(c) What function is served by the following:

(i) Gastric sphincter

(ii) Anal sphincter

OR

(a) Draw a diagram of respiratory system and label any four parts of it.

(b) What are alveoli? Mention their role in respiration.

[Marks:5]

24]Briefly explain an activity to plot the magnetic field lines around a straight current carrying conductor. Sketch the field pattern for the same, specifying current and field directions.

What happens to this field,

(i) If the strength of the current is decreased?

(ii) If the direction of the current is reversed?

OR

Briefly explain an activity to plot the magnetic field lines around a bar magnet.

[Marks:5]

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Sketch the field pattern for the same specifying field directions.

A region 'A' has magnetic field lines relatively closer than another region 'B'. Which region has stronger field? Give reason to support your answer.

25]A fruit juice is tested for its pH value. What could be its possible pH if the colour is changed to yellow

[Marks:1]

A. More than 7.5B. 7C. between 6.5 and 7.5D. Less than 3.5

26]When drops of blue litmus solutions are added to dil. HCl and aqueous NaOH taken in two different test tubes A and B respectively, what will be the colour changes occurring?

[Marks:1]

A. Blue to red in both A and BB. No change in both A and B

C. Blue to red in B and no change in A

D. Blue to red in A and no change in B

27]A more reactive metal displays a less reactive metal from the aqueous solution of the latter. From the following set tell which one represents a correct picture, of both the possible (√) reaction and impossible (x) reactions between metals and the solution of different salts.

[Marks:1]

A.

Metal

Al2(SO4)3 CuSO4 FeSO4

(b) Cu

√ X X

B.Metal

Al2(SO4)3 CuSO4 FeSO4

(c) Fe

√ √ X

C.

D.

Metal

Al2(SO4)3 CuSO4 FeSO4

(a) Al X √ √28]

A colourless and odourless gas is liberated when hydrochloric acid is added to a solution of washing soda. The name of the gas is:

[Marks:1]

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A. Nitrogen dioxideB. Sulphur dioxideC. Sulphur trioxideD. Carbon dioxide

29]Four student (a), (b), (c) and (d) measured the pH. Values of water, lemon juice and sodium bicarbonate solution. What is the correct decreasing order of pH values:

[Marks:1]

A. water > lemon juice > sodium bicarbonate

B. lemon juice > water > sodium bicarbonate

C. water > sodium bicarbonate > lemon juice

D. sodium bicarbonate > water > lemon juice

30]What happens when dilute hydrochloric acid is added to iron fillings? [Marks:1]

A. Chlorine gas and iron hydroxide are produced

B. No reaction takes placeC. Iron salt and water are produced

D. Hydrogen gas and iron chloride are produced

31]In the experiment on studying the dependence of current I on the potential difference V, three students plotted the following V and I. The graph that is likely to be correct is/are:

[Marks:1]

A. Student I onlyB. Student III only

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C. All the three studentsD. Student II only

32]For carrying out the experiment, on finding the equivalent resistance of two resistors connected on series, a student sets up the circuit as shown. On further verification he finds out that the circuit has one or more of the following faults

(i) The resistors R1 and R2 have not been correctly connected in series

(ii) The voltmeter has not been correctly connected in the circuit

(iii) The ammeter has not been correctly connected in the circuit

Out of these three, the actual fault in the circuit is/are:

[Marks:1]

A. Both (i) and (ii)B. Only (i)C. Only (ii)D. Both (ii) and (iii)

33]To determine the equivalent resistance of a series combination of two resistors R1 and R2, a student arranges the following set up

Which of the following statements will be true fir this circuit:

[Marks:1]

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A. Incorrect reading for current I as well as potential difference V

B. Incorrect reading for current I but correct reading for potential difference V

C. Correct reading for both current I and potential difference V

D. Correct reading for current I incorrect reading for potential difference V

34]The current flowing through a resistor connected in an electric circuit and the potential difference developed across the ends of it are as shown in the diagrams

The value of the resistance of the resistor used in Ohm is:

[Marks:1]

A. 0.02B. 0.024C. 24D. 17.5

35]The statement that is most correct about the following circuit is:

[Marks:1]

A. A1 < A2

B. A3 < A2

C. A1 = A2 = A3

D. A1 = A3

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36]What will be the equivalent resistance between A and B?

[Marks:1]

A. 0.37 ΩB. 1.5 ΩC. NoneD. 1.37 Ω

37]To make the plant free of starch, it is: [Marks:1]

A. Kept in a room, but with lights on at night only

B. Kept under the shade of tree

C. Kept covered with coloured polythene in a shady place

D. Kept in darkness for 72 hours38]

After removing chlorophyll, when iodine test us performed on the destarched leaf, kept in sunlight for six hours. The expected observation would be:

[Marks:1]

A. The entire leaf turns blue

B. The covered part of the leaf turns blue

C. The colour of the iodine solution remains same

D. The part not covered turns blue39]

Given below are the steps in the preparation of a temporary mount of a stained leaf peel:

(i) Cover the material with the cover slip

(ii) Remove the peel from lower surface of leaf

(iiii) Drop it in water in petri dish

(iii) Transfer the stained peel to a clean glass slide and add a drop of glycerine

[Marks:1]

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The correct sequence of the experiment steps is:A. (i), (ii), (iii), (iv)B. (vi), (iii), (ii), (i)C. (iii), (iv), (i), (ii)D. (ii), (iii), (iv), (i)

40]A student draws the following sketch of stomatal aperture and numbers the parts asfollow:

The chloroplast is denoted by the number

[Marks:1]

A. 1B. 2C. 3D. 4

41]A student performed the starch test on a leaf. Some steps involved are shown below:

The correct sequence of step should be:

[Marks:1]

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A. (iv), (iii), (ii), (i)B. (i), (ii), (iii), (iv)C. (ii), (iii), (iv), (i)D. (i), (iii), (iv), (ii)

42]In the following experiment set up to show that CO2 is evolved during respiration, substances A and B are:

[Marks:1]

A. A is water and B is lime waterB. A is lime water and B is water

C. A is KOH pellets and B is lime water

D. A is KOH solution and B is water

SYLLABUS SCIENCE X SAII. Chemical Substances 33 ; II. World of living 21 II. III. Effects of Current 29 IV Natural Resources 07

Total 90

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started FOR summative Assesment:II We also offer class XI-XII PCMB for CBSE+HSC

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