Q1 - ISMOismo.pk/wp-content/uploads/2016/04/10th-National-ISMO-Class-6... · Q1: 0.04 0.1 ?u A) 0.004 B) 0.04 C) 0.4 D) 4 ... 123456 with a remainder 3? A) 7 B) 8 C) 9 D) ... 1) 167

PAKTURK 10th National Interschool Maths Olympiad Class 6 Solutions

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Q1: 0.04 0.1 ?

A) 0.004 B) 0.04 C) 0.4 D) 4

Solution:

0.04 0.1 0.004

Answer: A

Q2: A three years old baby can count up to 10. What

is the sum of the numbers which the baby can count?

A) 19 B) 30 C) 45 D) 55

Solution:

1 2 3 4 5 6 7 8 9 10 55

Answer: D

Q3: What is the product of the third multiple of 5

and the second highest divisor of 20?

A) 150 B) 300 C) 450 D) 600

Solution:

15 10 150

Answer: A

Q4: How many times 2048 needs to be divided by 2

to get 2?

A) 12 B) 11 C) 10 D) 9

Solution:

2048 2 1024 1024 2 512 512 2 256

256 2 128 128 2 64 64 2 32

32 2 16 16 2 8 8 2 4 4 2 2

(10 )times

Answer: C

Q5: 1 1 1 1 1 1 1 1 1 1

?2 2 2 2 3 3 3 3 3 3

A) 2 B) 5

6 C) 4 D)

7

5

Solution:

1 1 1 1 1 1 1 1 1 1

2 2 2 2 3 3 3 3 3 3

4 62 2 4

2 3

Answer: C

Q6: 0.1 0.001 0.00001 ?

A) 0.10101 B) 0.1101

C) 0.0101 D) 0.1011

Solution:



0.1 0.001 0.00001 0.10101

Answer: A

Q7: All numbers divisible by both 4 and 15 are also

divisible by which of the following?

A) 19 B) 30 C) 45 D) 60

Solution: All numbers divisible by both 4 and 15 are also divisible by 4x15=60 as well

Answer: D

Q8: A student reads 4 pages of a book every day.

After how many days the student can read 256 pages of

that book?

A) 58 B) 60 C) 62 D) 64

Solution:

256 4 64

Answer: D

Q9: Sum of the last two page numbers of a book is

121. What is the number of pages of the book?

A) 61 B) 60 C) 55 D) 121

Solution:

60 61 121

the number of pages of the book is 61

Answer: A

Q10: 15 2 3 5 7 11

?13 7 5 7 5 13

A) 3 B) 4 C) 5 D) 6

Solution:

15 2 3 5 7 11 15 11 2 5 3 7

13 7 5 7 5 13 13 7 5

26 7 102 1 2 5

13 7 5

Answer: C

Q11: Which of the following numbers can divide

123456 with a remainder 3?

A) 7 B) 8 C) 9 D) 10

Solution: Sum of the digits of 123456 is 1+2+3+4+5+6=21÷9 (remainder is 3)

Answer: C



Q12: The number p is greater than 0, a multiple of 6,

and a factor of 180. How many possibilities are there

for the value of p?

A) 5 B) 6 C) 7 D) 8

Solution: P=6, 12, 18, 30, 36, 60, 90 and 180

Answer: D

Q13: What is 75 75 49 49 ?

A) 248 B) 8026 C) 9025 D) 10450

Solution:

75 75 49 49 5625 2401 8026

Answer: B

Q14: What percent of 100 is equal to its square root?

A) 10 B) 0 C) 1 D) 2

Solution: Square root of 100 is 10 and 10% of 100 is also 10.

Answer: A

Q15: What is the half of quarter of square of 16?

A) 16 B) 32 C) 64 D) 128

Solution:

2 256 6416 256 64 32

4 2

Answer: B

Q16: Which of the following numbers should be

multiplied by 75 to get a perfect number?

A) 2 B) 3 C) 5 D) 15

Solution:

23 75 225 15

Answer: B

Q17:

2 2 2 2 22 2 2 2 2 ?

3 4 5 6 7

A) 64

7 B)

32

7 C)

32

5 D)

64

5

Solution:

2 2 2 2 22 2 2 2 2

3 4 5 6 7

6 2 8 2 10 2 12 2 14 2

3 4 5 6 7

4

3

1

6

2

41

8

5

2

1

10

6

2

1

12

2

4 2 2 2 2 64

7 7 7

Answer: A



Q18: Annual rent of a house is Rs.54600. Find its

monthly rent.

A) Rs.3000 B) Rs.3550

C) Rs.4000 D) Rs.4550

Solution:

54600 12 .4550Rs

Answer: D

Q19: Which of the following number is an integer?

A)

2014

2 0 1 4 B)

2014

2 0 1 4

C)

2014

2 0 1 4 D)

2014

2 0 1 4

Solution:

A)2014 2014

402.82 0 1 4 5

B) 2014 2014

287.72 0 1 4 7

C) 2014 2014

503.52 0 1 4 4

D) 2014 2014

10072 0 1 4 2

Answer: D

Q20: Ahmad slept 6 hours 21 minutes and woke

up at 07 00 in the morning. What time did he go to

sleep?

A) 01 39 B) 23 52 C) 23 11 D) 00 39

Solution: 07 00 – 06 21 = 00 39

Answer: D

Q21: If Hassan got 3245 position from the top and

5245 position from the bottom in ISMO, how many

students did participate in ISMO?

A) 8490 B) 1801 C) 8489 D) 1800

Solution:

3245 5245 1 8490 1 8489

Answer: C

Q22: What is the next day in the day pattern given

below?

Monday, Wednesday, Saturday, ...................

A) Sunday B) Wednesday

C) Tuesday D) Thursday

Solution: 1 day gap, 2 days gap, 3 days gap is Wednesday

Answer: B

Q23: Which of the following is the prime factorization

of 5400?

A) 3 3 22 3 5 B) 3 2 22 3 5



C) 4 3 22 3 5 D) 3 32 3 5

Solution:

3 3 25400 54 100 27 2 4 25 3 2 5

Answer: A

Q24: If 3 2014

20132

AA

, then

what is the value of A ?

A) 2011 B) 2012 C) 2022 D) 2000

Solution:

3 20142013 3 2014 2 4026

2

4026 2014 2012

AA A A

A

Answer: B

Q25: If a person is 32 years old. What is the average

of the present age, the age 8 years ago and the age 11

years after?

A) 12 B) 13 C) 14 D) 33

Solution:

24 32 43 9933

3 3

Answer: D

Q26: Amir chose a whole number and multiplied it by

11.

Which of the following numbers could not be his

answer?

A) 33 B) 111 C) 77 D) 55

Solution: 33, 55 and 77 are multiple of 11, but 111 is not multiple of 11

Answer: B

Q27: The number of students of a school can be

arranged 6 by 6 or 7 by 7 for a football tournament.

Which of the following number can be the number of

the students of the school?

A) 966 B) 942 C) 429 D) 544

Solution: Answer is multiple of 6x7=42 then 966 ÷ 42 = 23

Answer: A

Q28: The ratio of milk and water is 2 : 1 in a mixture

of 60 liters.

What is the quantity of water to be added more in order

to make the ratio 1:2?

A) 20 liters B) 30 liters

C) 40 liters D) 60 liters



Solution:

2 1201 : 60 40 20

3 3

40: 1 : 2

80

st Milk l Water l

then Milk Water

Total Amount of Water: 20+60=80 means 60 liters of water to added more.

Answer: D

Q29: Four numbers are written on the cards, as

shown below. What is the largest number you can form

with the given cards by placing them in a row?

A) 5741309 B) 7530941

C) 7541309 D) 7415309

Solution: Start with 7; 7 5 41 309 = 7 541 309

Answer: C

Q30: Twice of a number is exactly divisible by 12, 18,

21 and 30.

What is that number?

A) 196 B) 315 C) 630 D) 1260

Solution: LCM of 12, 18, 21 and 30 is 1260 and half of 1260 is 630.

Answer: C

Q31: If 4.8A and 0.2B then which of the

following has the biggest value?

A) A B B) A B C)A

B D) A B

Solution:

A) 4.8 0.2 5A B

B) 4.8 0.2 0.96A B

C) 4.8 48

240.2 2

A

B

D) 4.8 0.2 4.6A B

Answer: C

Q32: A regular rectangular pattern on a wall was

created with 2 kinds of tiles: grey and black.

Some tiles fell down from the wall (see the picture).

How many grey tiles fell down?

A) 9 B) 10 C) 11 D) 12



Solution:

Answer: B

Q33: The product of the digits of 176 is 42. How many

more three digit numbers are such that the product of

the digits is 42?

A) 11 B) 10 C) 8 D) 6

Solution:

1) 167 1 6 7 42

2) 617 6 1 7 42

3) 671 6 7 1 42

4) 716 7 1 6 42

5) 761 7 6 1 42

6) 237 2 3 7 42

7 ) 273 2 7 3 42

8) 327 3 2 7 42

9) 372 3 7 2 42

10 ) 723 7 2 3 42

11) 732 7 3 2 42

Answer: A

Q34: What is 5

A if

0.4 0.12

720A ?

A) 480 B) 720 C) 360 D) 960

Solution:

0.4 0.12 2880.12 0.4 720

720 0.12

28800 24002400 480

12 5 5

A AA

AA

Answer: A

Q35: The average of 20 whole numbers is zero. How

many of the numbers are zero?

A) 0 B) 10 C) 15 D) 20

Solution: If the average of 20 whole numbers is zero then all the numbers are zero. It means there are 20 zeros.

Answer: D

Q36: A paper folded according to the given figure.

Which of the following angles are supplementary

angles?



A) 2 and 5 B) 4 and 5 C) 1 and 2 D) 2 and 4

Solution:

04 5 180 ( )Supplementary Angles

Answer: B

Q37: A bus can take either 12 adults or 24 children.

At most how many children could go up with 9 adults?

A) 3 B) 5 C) 6 D) 8

Solution: Bus can take 24 children which are twice of adults. If there are 9 adults, for remaining 3 adults, bus can take 6 children.

Answer: C

Q38: How many seconds are there in 4 hours and

24 minutes?

A) 12880 B) 15840 C) 14400 D) 15480

Solution:

4 hours and 24 minutes 4 60 60 24 60

14400 1440 15840

Answer: B

Q39: Six bells commenced tolling together and toll at

intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In

30 minutes, how many times do they toll together?

A) 4 B) 10 C) 15 D) 16

Solution: LCM of 2, 4, 6, 8 10 and 12 seconds is 120 seconds. It means, Six bells commenced tolling together every 2 minutes. 30÷2=15 times.

Answer: C

Q40: 0.1 0.01 0.001

4 5 ?0.2 0.002 0.02

A) 48 B) 85 C) 99 D) 111

Solution:



0.1 0.01 0.0014 5

0.2 0.002 0.02

1 10 1 11 14 5 20

2 2 20 2 20

110 120 20

20

111

20 111

Answer: D

Q41: The number of students in a school increases by 20% each year. If there are 2160 pupils this year, what was the enrolment last year? A) 1750 B) 1800 C) 2000 D) 2075

Solution:

100 21600enrolment last year 2160 1800

120 12

Answer: B

Q42: What is the area of the given figure?

A) 2

48cm B) 250 cm

C) 2

60cm D) 2

91cm

Solution: (Given figure has two rectangles)

2

Area of two rectangles 3 12 7 2

36 14 50cm

Answer: B

Q43: The figure below is made by using wire and all

the angles are right angles. Find the length of the wire

used in the figure?

A) 50 cm B) 45 cm C) 36 cm D) 32 cm

Solution:

The length of the wire used= Perimeter of rectangle+8+6+3+3=2(10+5)+20 =3x15+20=30+20=50cm

Answer: A



Q44: Ali walks around a park which looks like a

regular octagon.

Between which points will Ali be when he walks 3

5 of

the perimeter of the park?

A) D and E B) E and F

C) F and G D) H and A

Solution: Suppose each side of octagon is 10 m. Then Perimeter

of park is 80 m. Then 3

5 of the perimeter of the park is

3 24080 48

5 5m that is between E and F.

Answer: B

Q45: In the following figure, all the angles are right

angles.

Which one of the following is not the perimeter of the

figure if 2t s ?

A) 12s B) 6t C) 4 t s D) 10s

Solution: the perimeter of the figure is 4s+4t=4(s+t) or if t=2s then perimeter=4(s+t)=4(s+2s)=4x3s=12s or if t=2s and s=t/2 then

perimeter=12

12 12 62 2

t ts t

Answer: D

Q46: The average of the five numbers is 84. The

average of the numbers with one more number is 87.

What is the number which is added last?

A) 102 B) 99 C) 97 D) 87

Solution:

6 87 5 84 522 420 102

Answer: A



Q47: The numbers in the box below are arranged

according to a rule.

4 16 32

3 9 18

5 A B

What is A+B?

A) 25 B) 50 C) 75 D) 90

Solution: According to rule 1

st number is multiplied by itself to

get 2

nd number. And 2

nd number is multiplied by 2 to get

the 3

rd number.

5 5 25 2 25 50

25 50 75

A B

A B

Answer: C

Q48: Four of the numbers on the left are moved into

the cells on the right so that the addition is correct.

17 167

30

49 96

+

Which number remains on the left?

A) 30 B) 49 C) 96 D) 167

Solution:

Answer: D

Q49: The figure below is drawn on a paper which is

made by unit squares.

What is the difference of the area of the triangle ABD

and the area of the triangle BDC?

A) 4 B) 6 C) 8 D) 10



Solution: The difference of the area of the triangle ABD and the area of the triangle BDC is

6 4 2 4 24 8 168

2 2 2 2

Answer: C

Q50: How many triangles are there in the given

figure?

A) 12 B) 13 C) 14 D) 15

Solution:

Answer: D

Documents

Q1 - ISMOismo.pk/wp-content/uploads/2016/04/10th-National-ISMO-Class-6... · Q1: 0.04 0.1 ?u A) 0.004 B) 0.04 C) 0.4 D) 4 ... 123456 with a remainder 3? A) 7 B) 8 C) 9 D) ... 1) 167