Item 12 refers to the Venn diagram below. U P Q
12.
In the Venn diagram, the shaded area represents
- (A)
P'
- (B)
(P U Q)'
- (C)
Q U P'
- (D)
Q N P'
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CSEC Mathematics Paper 1 May/June 2013 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 May/June 2013 past paper from 2013. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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Every question from this paper as text. See the answers and worked solutions. Questions are the property of the Caribbean Examinations Council; Caribbean AI is not affiliated with CXC.
() is equal to
What percentage of 340 is 425?
80%
85%
125%
152%
Ann and Betty shared a sum of money in the ratio 2:3. Ann received $120. What was Betty's share?
$72
$80
$180
$300
If of a sum of money is $40, what is the TOTAL sum of money?
$45
$320
$500
$4,500
The value of 29.94 × 0.5 is approximately
0.15
1.5
15
150
In a school, the ratio of the number of pupils to the number of teachers is 20 : 1. If the number of pupils is 840, how many teachers are there?
40
42
800
840
The LARGEST prime number that is less than 100 is
91
93
97
99
The H.C.F. of 12, 15 and 60 is
1
3
12
60
By the distributive law 49 × 17 + 49 × 3 =
52 + 66
52 × 66
49 + 20
49 × 20
The value of the digit 5 in the number 537 is
5
100
500
5 000
Which of the following sets is equivalent to {a, b, c, d}?
{4}
{a, b, c}
{p, q, r, s}
{1, 2, 3, 4, 5}
Item 12 refers to the Venn diagram below. U P Q
In the Venn diagram, the shaded area represents
P'
(P U Q)'
Q U P'
Q N P'
If X and Y are two finite sets such that n(X) = 7, n(Y) = 5 and n(X ∩ Y) = 3, then n(X U Y) is
6
9
15
18
Item 14 refers to the Venn diagram below. P U Q
If P = {Factors of 6} and Q = {Factors of 4}, then the shaded region represents
{}
{1, 2}
{4, 6, 8...}
{12, 24, 36...}
If TT$6.00 is equivalent to US$1.00, then TT$15.00 in U.S. dollars is
$0.25
$0.40
$2.50
$4.00
A man's taxable income is $15 200. He pays tax at the rate of 25%. The amount of income tax he pays is
$3 775
$3 800
$3 825
$3 875
At the end of any year a car is worth 5% less than what it was worth at the beginning of the year. If a car was worth $10 000 in January 2011, then its value in December 2011 was
$9 995
$9 500
$9 025
$9 000
Tom bought a pen for $60 and sold it to gain 20% on his cost price. How much money did he gain?
$12
$40
$72
$80
Mr. Duncan bought a table at a discount of 30% thus saving $42. What was the marked price of the table?
$ 98
$110
$140
$182
If the simple interest on $800 for 3 years is $54, what is the rate of interest per annum?
5%
44%
At a sale, each book was marked $3.00 off the original price. Daniel paid $46.00 for two books that had the same sale price. What was the original cost of ONE of his books?
$20.00
$21.50
$24.50
$26.00
If $7 000 is borrowed at the rate of 5% per annum for 3 years, the simple interest is
$ 105
$ 210
$ 370
$1 050
Seven times the product of two numbers, a and b, may be written as
7ab
49ab
7a + b
7(a + b)
If x is an integer that satisfies the inequality , then
If , then $x =$
-4
3
4
$3x^2 × 2x^3 = $
If and , what is the value of
The sum of two positive numbers (p and q) is 32. Their difference is 12. What is the SMALLER number?
10
12
20
22
When 6 is added to a number and the sum is divided by three, the result is four. This statement written in mathematical symbols is
The volume of a cube with edge 10 cm is
30 cm³
100 cm³
300 cm³
1 000 cm³
If , then the value of is
-1
1
5
How many kilograms are there in one tonne?
10
100
1 000
10 000
Item 33 refers to the diagram below. <br> <img src="cid:item33_diagram"> <br> AOB is a sector of a circle such that angle AOB = 60° and OB is r units long. The area of AOB is
The area of AOB is
Item 34 refers to the figure below which shows a triangle resting on a square. <br> <img src="cid:item34_diagram"> <br> The length of one side of the square is 5 cm and the height of the triangle is 4 cm. What is the TOTAL area of the figure, in cm²?
What is the TOTAL area of the figure, in cm²?
35
45
50
100
Which of the figures below, not drawn to scale, has an area equal to square units?
A car travels 80 kilometres in hours. What is its speed in kilometres per hour?
6
32
82.5
200
The area of a rectangle is 53.6 cm². If the length is multiplied by four and the width is halved, the area would then be
26.8 cm²
53.6 cm²
107.2 cm²
214.4 cm²
A man leaves home at 22:15 hrs and reaches his destination at 04:00 hrs on the following day, in the same time zone. How many hours did the journey take?
5
6
The perimeter of a square is 48 cm. What is the area, in cm²?
36
72
108
144
Among a group of employees, the highest paid receives a weekly wage of $105.40. If the range of the wages is $27.50, how much does the LOWEST paid employee receive?
$ 27.50
$ 66.45
$ 77.90
$105.40
The modal score is
3
6
8
11
A bag contains 2 red, 4 yellow and 6 blue marbles of similar size and shape. The probability of drawing a blue marble from the bag at random is
Item 43 refers to the bar chart below which shows the ages of children who took part in a survey.
How many children took part in the survey?
5
15
75
87
Item 44 refers to the pie-chart below which shows the preference in drinks of a group of students.
If 12 students prefer chocolate, then the TOTAL number of students is
48
72
180
360
Of 120 students writing an exam, 100 are expected to pass. The estimated probability that a randomly selected student will FAIL the exam is
Which of the following diagrams illustrates a function?
The graph of the inequality in the diagram is defined by
If , then $f(-3) = $
-32
-19
17
35
The straight line AB cuts the y axis at
What is the gradient of the straight line ?
-3
3
Which of the following statements BEST describes the function?
If the sum of the interior angles of a polygon is 4 right angles, then the polygon is a
triangle
hexagon
pentagon
quadrilateral
Item 53 refers to the following diagram. A C B D
In the diagram AB and CD are parallel. Which of the following BEST describes the relation between x and y?
Item 54 refers to the triangle below. A x 30° 30° C
In the triangle, the value of x is
30°
60°
120°
150°
The image of the point P (-3, 2) under the translation (1) 2 is
(-5, 3)
(-2, 4)
(-1, 1)
(-1, 3)
Item 56 refers to the following diagram. D C A E B
How many triangles congruent to AADE would be needed to cover the rectangle ABCD entirely?
2
4
6
8
Item 57 refers to triangle ABC below. B 40 m A 30° C
In the triangle, not drawn to scale, angle BAC=30° and AB = 40 m. The length BC, in metres, is
40 sin 30°
40 tan 30°
40 sin 60°
40 tan 60°
Item 58 refers to the triangle LMN below.
M L N
Triangle LMN is rotated in a clockwise direction about L through an angle of 90°. What is its image?
A plane is flying in a direction of 045° and changes course in a clockwise direction to 135°. The angle through which the plane turns is
45°
90°
135°
270°
Item 60 refers to the following graph.
5 4 3 B (1, 3) 2 1 A(1, 1) C (3, 1) 0 1 2 3 4 5
A' B' C' is the image of ABC under an enlargement of scale factor 2. The area of A'B'C', in square units, is
2
4
8
12