CXCCSECMathsSpecimenPaper1ExamQuestions

SPECIMEN CXC CSEC PAPER 1 EXAM

Page 1

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1. Which of the following is a subset of {b, c, d}?

(A) { }

(B) {a}

(C) {1 , 2 , 3}

(D) {a, b, c}

2. The value of 5 in the number 357.21 is

(A) 5 tenths

(B) 5 ones

(C) 5 tens

(D) 5 hundreds

3. In coordinate geometry, the equation of the x-axis is

(A) y = x

(B) y = 0

(C) x = 0

(D) y = 1

4. 3x 4(x + 6) =

(A) x + 6

(B) x 24

(C) 7x + 6

(D) 7x 24

5. 5

43 expressed as a decimal is

(A) 3.40

(B) 3.45

(C) 3.50

(D) 3.80

6. Which of the following is the Highest Common

Factor of 18, 24 and 36?

(A) 6

(B) 18

(C) 36

(D) 72

7. If 2 < x2

1 < 4 , then

(A) 4 > x < 8

(B) 4 < x > 8

(C) 4 < x < 8

(D) 4 > x > 8

8. Items bought by a trader for $80 are sold for $100.

The profit expressed as a percentage of cost price is

(A) 2.5%

(B) 20%

(C) 25%

(D) 50%

9. Given that a and b are integers, which of the

following is not necessarily an integer?

(A) 2a 5b

(B) a7

(C) ba

(D) ab

10. How many subsets does the set {a, b, c, d, e} have?

(A) 2

(B) 5

(C) 10

(D) 32


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11. Which of the following is NOT a prime number?

(A) 11

(B) 21

(C) 31

(D) 41

12. A contractor completed five-ninths of a job before a

second contractor completed an additional one-third.

What fraction of the job is left undone?

(A) one-ninth

(B) four-ninths

(C) two-thirds

(D) eight-ninths

13. 2p2 15p + 25 =

(A) (p 5)(2p 5)

(B) (p 5)(2p + 5)

(C) (p + 5)(2p 5)

(D) (2p 15)(p + 5)

14. In the diagram, not

drawn to scale,

TF is a vertical pole

standing on horizontal

ground PF. The angle

of depression of point

P from the top of the

pole is 45 .

What is the distance PF ?

(A) 10 m

(B) 20 m

(C) 42 m

(D) 90 m

15. Profits in the partnership of Bess, Bill and Bob are

shared in the ratio 1 : 2 : 3. If Bill's share of the

profits is $300, what is Bob's share?

(A) $150

(B) $450

(C) $600

(D) $900

16. The figure, not drawn to scale,

shows a triangle of height 4 cm

cut from a shaded square of

sides 5 cm.

What is the area, in cm2 of the

remaining shaded region of the square?

(A) 5

(B) 10

(C) 15

(D) 20

17. Which of the following represents numbers

greater than 3 but less than 6 ?

(A) {x : 3 > x > 6}

(B) {x : 3 x 6}

(C) {x : 3 < x < 6}

(D) {x : 3 x 6}

18. A man's regular pay is $3 per hour up to 40 hours.

Overtime is twice the payment for regular time.

If he was paid $168, how many hours overtime

did he work?

(A) 8

(B) 16

(C) 28

(D) 48

T

F P

45

20 m

5 cm

4 cm


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19. What is the value of u in the sequence

2 , 7 , 14 , 23 , 34 , u ?

(A) 45

(B) 46

(C) 47

(D) 53

20.

In the diagram above, triangle ABC is stretched

along the x direction to form triangle AB’C’ and

then triangle AB”C”. AC = CC’ = C’C”.

What is the ratio of the areas of the three triangles?

(A) 1 : 1 : 1

(B) 1 : 1 : 2

(C) 1 : 2 : 2

(D) 1 : 2 : 3

21. The number 0.0417 in standard form is

(A) 4.17 10 4

(B) 4.17 10 3

(C) 4.17 10 2

(D) 4.17 10 1

22.

Which of the following is valid for the diagram?

(A) C M and a M, therefore a C

(B) M C and a M, therefore a C

(C) M C and a C, therefore a M

(D) C M and a C, therefore a M

23. A man bought a shirt at a sale. He saves $30 on

the normal price when he paid $120 for the shirt.

What was the percentage discount on the shirt?

(A) 20

(B) 25

(C) 3

133

(D) 80

24. Given f : x 3x 1, and g : x x2, then fg( 2) =

(A) 28

(B) 3

(C) 11

(D) 49

25. The bases and heights of a cylinder and a cone are

the same. The volume of the cylinder is V cm3.

What is the volume of the cone in cm3 ?

(A) V4

1

(B) V3

1

(C) V2

1

(D) V

A

B

C

B' B"

C' C" x

x

M P

a

C

U


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26. The average of a set of numbers reduces from

14 to 11 when the number 35 is removed. How

many numbers were in the original set?

(A) 8

(B) 11

(C) 21

(D) 25

Items 27 29 refer to the pie chart which shows the time a

student spends on various activities over a 30 hour period.

27. What is the angle on

the pie chart that

represents the time

spent on Science?

(A) 18 (B) 54

(C) 72 (D) 108

28. How many hours does

the student spend on

Sports, Science and

Maths combined?

(A) 4.5

(B) 6

(C) 9

(D) 15

29. One hour in the 30 hours is chosen at random.

What is the probability that the student is doing

Languages or Computer Studies?

(A) 0.06

(B) 0.2

(C) 0.3

(D) 0.5

30. What is the simple interest earned on $10 000

invested for 3 months at a rate of 5% per annum?

(A) $100

(B) $125

(C) $500

(D) $1 500

31. The expression a2 + b2 is equivalent to

(A) (a + b)(a + b)

(B) (a + b)(a b)

(C) (a + b)(a + b) 2ab

(D) (a + b)(a b) 2ab

32. The perimeter of a rectangle is 26 cm. The rectangle

is converted to a square by tripling the width and

taking a quarter of the length. What is the perimeter

of the resulting square?

(A) 9 cm

(B) 12 cm

(C) 20 cm

(D) 26 cm

108 72

72 54

Languages

Maths Sports

Science

Computer

Studies


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33.

Which of the following pairs of inequalities

satisfies the shaded region on the graph above?

(A) 2x 3y 3 and x + y 4

(B) 2x 3y 3 and x + y 4

(C) 2x 3y 3 and x + y 4

(D) 2x 3y 3 and x + y 4

34. Some girls play netball.

Tall girls are over 1.8 meters in height.

All netball players are tall girls.

Lee is 1.9 meters tall and does not play netball.

Which Venn diagram below represents the

statements above?

U = Girls P = Plays Netball

D = Does Not Play T = Tall Girls

(A) (B)

(C) (D)

35. The points P and Q have coordinates (4 , 3)

and (2 , 1) respectively. What is vector PQ ?

(A) ( 2 , 2)

(B) (2 , 2)

(C)2

2

(D)2

2

Items 36 38 refer to the table below, which shows the

time, in minutes, taken by 35 students to solve a problem.

Time (min) 1 2 3 4 5 6 7 8 9

Students 1 10 4 0 2 7 0 5 6

36. The range of the time, in minutes, taken is

(A) 1

(B) 5

(C) 8

(D) 9

37. The modal time, in minutes, is

(A) 2

(B) 5

(C) 9

(D) 10

T D

Lee P

U

P D

Lee T

U

P T

Lee D

U

T P

Lee D

U

0 x

1

1

4

3

2

y Graph of Lines

3 4 5 6 7 2

Shaded Region

2x 3y = 3

x + y = 4

1


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38. What is the probability that a student chosen at

random took 3 minutes to solve the problem?

(A)35

3

(B)35

4

(C)7

3

(D)7

4

39. If an increase of 20% will change the price of an

item to $480, what is the original price of the item?

(A) $384

(B) $400

(C) $432

(D) $576

40. If 3(4 x) 4x + 5, then

(A) x 1

(B) x 1

(C) x 6

(D) x 6

41. The equation of the line which passes through the

point (0 , 3) and has a gradient of 2

1 is

(A) y = x2

1 3

(B) y = x2

1 3

(C) y = x2

1 + 3

(B) y = x2

1 + 3

42. Which of the following objects is NOT symmetrical?

(A) (B)

(C) (D)

43. If 1

12

m is a singular matrix, then m =

(A) 2

(B) 1

(C) 1

(B) 2

44. The expansion of (x 2)2 is

(A) x2 4

(B) x2 + 4

(C) x2 + 4x 4

(D) x2 4x + 4

45. In the diagram,

the equation of the

line PQ could be

(A) y = 2x 3

(B) y = 2x + 3

(C) y = 2x 3

(D) y = 2x + 3

46. A boat travelled 5 km on a bearing of 140 .

How far east has the boat travelled?

(A) 5 tan 40

(B) 5 sin 50

(C) 5 cos 40

(D) 5 cos 50

y

Q

x

P

O


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47. A man bought a watch for $60. How much will

he gain if he sold the watch to make a 20% profit?

(A) $12

(B) $40

(C) $72

(D) $80

48. The diagram, not drawn to scale,

shows a quadrilateral inscribed

inside a circle.

Angle ABC is

(A) 45

(B) 90

(C) 120

(D) 135

49. The equation of a parabolic curve is

y = 2(x 3)2 4. The minimum point is

(A) ( 3 , 4)

(B) ( 3 , 4)

(C) (3 , 4)

(D) (3 , 4)

50. In the diagram, a circle

of radius r is inscribed

inside a regular pentagon.

What is the shortest distance

between P and R along the

circumference of the circle?

(A)5

π2 r (B)

5

π4 r

(C)5

π22

r (D)

5

π42

r

51. Paul's weekly allowance was increased from $210

to $280. His sister's weekly allowance was increased

by an equal proportion. If her allowance is now

$200, what was her allowance before the increase?

(A) $130

(B) $140

(C) $150

(D) $270

52. In the diagram,

O is the centre of the circle,

and AOC is a straight line.

If angle ABO = 50 ,

then angle BOC =

(A) 40

(B) 50

(C) 80

(D) 100

53. A store owner paid 30% commission on sales

exceeding $400. If he paid $120 as commission,

what was the total sales?

(A) $400

(B) $412

(C) $600

(D) $800

A

B

C

45

P Q

R

S

T

O

A 50

C

B


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54. Extract from graph of y = 2x2 3x 2

The diagram is a graph of the curve y = 2x2 3x 2 ,

and it shows the tangent to the curve at x = 2.

What is the gradient of the curve at x = 2 ?

(A) 5

(B) 0

(C) 2

(D) 5

55. If y = 2x2 x + 5, then when x = 3, y =

(A) 20

(B) 26

(C) 38

(D) 44

56. In triangle PQR,

the length of PQ,

in cm, is

(A)112sin

20sin5

(B)48sin

20sin5

(C)112sin

48sin5

(D) 20sin

48sin5

57. In the triangle, =

(A) 30

(B) 45

(C) 60

(D) 75

58. "502 to base 7" is written 5027. 5027 =

(A) 5 72 + 2

(B) 5 73 + 2

(C) 5 72 + 2 7

(D) 5 73 + 2 7

y cm 2y cm

2 x

y

20

15

10

5

3 1 2 4 3 1

5 Tangent

at x = 2

P R

Q

5 cm

48 20


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Items 59 60 refer to the Velocity-time graph below.

59. In the Velocity-time graph above, what is

the total distance travelled from O to R?

(A) 160 m

(B) 260m

(C) 280 m

(D) 320m

60. In the Velocity-time graph above, what is

the acceleration from P to Q.

(A) 0 ms 2

(B) 2 ms 2

(C) 10 ms 2

(D) 20 ms 2

SPECIMEN PAPER 1 ANSWERS

Q Ans. Q Ans. Q Ans. Q Ans.

1 A 16 C 31 C 46 D

2 C 17 C 32 B 47 A

3 B 18 A 33 C 48 D

4 B 19 C 34 A 49 C

5 D 20 D 35 C 50 B

6 A 21 C 36 C 51 C

7 D 22 D 37 A 52 D

8 C 23 A 38 B 53 D

9 C 24 C 39 B 54 D

10 D 25 B 40 B 55 B

11 B 26 A 41 A 56 A

12 A 27 B 42 B 57 C

13 A 28 D 43 A 58 A

14 B 29 D 44 D 59 B

15 B 30 B 45 B 60 A

O 4 8 12

V ms 1

t sec.

Velocity-time graph

16

20

30

10

P Q

6 2 10 14

5

15

25

R

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CXCCSECMathsSpecimenPaper1ExamQuestions