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SPECIMEN CXC CSEC PAPER 1 EXAM
Page 1
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 2
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 3
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 4
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 5
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 6
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 7
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 8
wizznotes.com 'Chat-with-Shaw'
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
SPECIMEN CXC CSEC PAPER 1 EXAM
Page 9
wizznotes.com 'Chat-with-Shaw'
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