11.
Which of the following sets is defined by {x ∈ Z : -2 ≤ x ≤ 4} ?
- (A)
{0, 1, 2, 3, 4}
- (B)
{1, 2, 3, 4}
- (C)
{-1, 0, 1, 2, 3}
- (D)
{-2, -1, 0, 1, 2, 3, 4}
Free CXC Mathematics Paper 1 May/June 2012 past paper from 2012. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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CSEC Mathematics Paper 1 May/June 2012 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 May/June 2012 past paper from 2012. 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.
The number 3.14063 written correct to 3 decimal places is
3.140
3.141
3.146
3.150
Express 0.12 as a fraction in its lowest terms.
In scientific notation, 170.04 is written as
There are 40 students in a class. Girls make up 60% of the class. 25% of the girls wear glasses. How many girls in the class wear glasses?
6
8
10
15
If $560 is shared in the ratio 2: 3: 9, then the difference between the largest and the smallest shares is
$80
$240
$280
$360
If 60% of a number is 90, what is the number?
30
54
150
180
The first three common multiples of 3, 4 and 6 are:
12, 24, 36
6, 8, 12
3, 4, 6
0, 1, 2
The number 301 can be written as
The value of the digit 5 in the number 537 is
50
500
5000
By the distributive law
52 + 66
52 × 66
49 + 20
49 × 20
Which of the following sets is defined by {x ∈ Z : -2 ≤ x ≤ 4} ?
{0, 1, 2, 3, 4}
{1, 2, 3, 4}
{-1, 0, 1, 2, 3}
{-2, -1, 0, 1, 2, 3, 4}
In a class of 32 students, 17 study Music and 20 study Art. What is the LEAST number of students who are studying BOTH Music and Art?
3
5
12
15
Item 13 refers to the following information. P = {prime numbers} Q= {odd numbers} R = {even numbers}
Which of the following sets is empty?
P ∩ R
Q ∩ R
P ∩ Q
P ∪ Q
Item 14 refers to the Venn diagram below.
In the Venn diagram, n(P) = 5, n(Q) = 9 and n(P ∪ Q) = 10. What is n(P ∩ Q)?
4
6
14
24
A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is
$ 1.80
$ 10.00
$ 18.00
$170.00
A man's annual salary is $45 000. His tax-free allowances total $13 000. He has to pay a tax of 35% on his taxable income. The tax payable is
$ 4 550.00
$11 200.00
$15 750.00
$20 300.00
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
If $7000 is borrowed at the rate of 5% per annum for 3 years, the simple interest is
$ 105
$ 210
$ 370
$1050
How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
$44.00
$47.00
$53.00
$56.00
Tracy bought a pen for $60 and sold it to gain 20% on her cost price. How much money did she gain?
$12
$40
$72
$80
A salesman is paid 5% of his sales as commission. His sales for last month were $2 020. How much commission was he paid?
$ 11.00
$ 20.20
$101.00
$110.00
A loan of $8 000 was paid back in 2 years in monthly payments of $400.00. The percentage interest on the loan was
5%
8\frac{1}{3}%
16\frac{2}{3}%
20%
If r * s = s^r, then 3 * 2 =
8
9
12
27
2x
2x + 2y
2x + 8y
8x + 8y
If , , , then
\frac{4}{9}
\frac{4}{3}
\frac{9}{4}
6x^5
5x^5
5x^6
72x^5
Given , the range of values of is
If , then the value of is
-12
-6
6
19
Item 30 refers to the following diagram.
The area of the rectangle, in cm², is . Which of the following equations may be used to find the value of ?
If , then the value of is
-1
5
The figure above, not drawn to scale, shows a sector of a circle centre O. The length of the minor arc PQ is 8 cm. What would be the length of the circumference of the circle?
16 cm
24 cm
48 cm
64 cm
The volume of a cube whose edge is 6 cm long is
18 cm³
36 cm³
72 cm³
216 cm³
2500 millimetres expressed in metres is
0.25
2.5
25
250
Tom leaves town P at 0600 hrs and drives to town Q, which is 595 km away. He arrives in town Q at 1300 hrs the same day. Tom's average speed was
70 km/h
75 km/h
85 km/h
90 km/h
On leaving Trinidad, the time on a pilot's watch was 23:00 hrs. When he arrived at his destination, in the same time zone, on the following day his watch showed 03:00 hrs. How many hours did the flight take?
4
20
26
52
Fifty guests were each served 2 glasses of champagne. Each glass held 150 millilitres. How many litres of champagne were served?
0.15
1.5
15
150
Which of the figures below, not drawn to scale, has an area equal to square units?
Item 39 refers to the diagram below. [Diagram of a cylinder with radius 3 cm and height 8 cm]
The diagram, not drawn to scale, shows a cylinder of radius 3 cm and height of 8 cm. The volume is
12 cm³
48 cm³
72 cm³
192 cm³
The area of a triangle is 30 cm² and its base is 10 cm. What is the perpendicular height of the triangle?
6 cm
12 cm
13 cm
17 cm
The heights, in cm, of ten students are 150, 152, 153, 155, 155, 156, 158, 160, 165, 170. The range is
5
20
150
155
A bag contains 60 marbles of different colours but similar in size and mass. The probability of randomly choosing a red marble is . How many red marbles does the bag contain?
5
12
17
25
The bar chart above shows the number of books read by the children who took part in a survey.
How many children took part in the survey?
5
15
75
87
If the mean of the four numbers 4, 8, x and 12 is 10, then x is
4
10
12
16
The pie-chart above 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
The maximum point of is
(4, 2)
(2, 4)
(0, 4)
(0, 0)
The straight line AB cuts the Y axis at
(0,3)
(0, 2)
(3,-2)
(0,-2)
Which of the following sets is represented by the relation f: x → x² + 3?
{(0, 3), (1, 4), (2, 7), (3, 12)}
{(0, 3), (1, 5), (2, 7), (3, 9)}
{(0, 3), (1, 4), (2, 5), (3, 6)}
{(0, 3), (1, 1), (2, 4), (3, 9)}
The inequality above is defined by
-2≤x<3
-2<x≤3
-2≤x≤3
-2<x<3
If , then
-4
-\frac{16}{5}
\frac{16}{5}
4
Which of the following BEST describes the function?
A boat was travelling on a bearing of 270°. In what direction was it travelling?
East
West
North
South
If the sum of the interior angles of a polygon is 4 right angles, the polygon is a
triangle
hexagon
pentagon
quadrilateral
What is the measure of < BAC?
30°
45°
60°
75°
In the figure above, the line CD is the image of AB after
a rotation through 90° centre O
a reflection in the y-axis
a translation by vector
an enlargement of scale factor -1
In the triangle, the value of x is
40°
80°
100°
140°
The image of a point P(-2, 3) under a translation is
(-6, 12)
(-5,-1)
(5, 1)
(1,7)
A ladder 5 metres long is leaning against a vertical wall. The foot of the ladder is 3 metres away from the wall. How far up the wall does the ladder reach?
4 m
6 m
8 m
15 m
In a triangle ABC, angle A = x° and angle B = 2x°. What is the size of angle C?
45°
60°
( )°
Item 60 refers to the diagram of a building below.
A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building.
The height of the building is approximately
12 tan 40°
1.6 + 12 sin 40°
1.6 + 12 cos 40°
1.6 + 12 tan 40°