Free CXC Mathematics Paper 1 May/June 2014 past paper from 2014. 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 2014 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 May/June 2014 past paper from 2014. 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.
In standard form 0.0325 is written as
3.25 x 10<sup>-1</sup>
3.25 x 10<sup>-2</sup>
3.25 x 10<sup>-3</sup>
3.25 x 100
Express 0.12 as a fraction in its lowest terms.
1/9
3/5
1/8
3/25
540 beads are shared in the ratio 4:5. The LARGER share of beads is
60
240
300
432
If 235 x 48.7 = 11 444.5, then 23.5 x 0.487 =
11.4445
114.445
1 144.45
11 444.4
12<sup>1</sup>/<sub>2</sub>% of a sum of money is $40. What is the sum of money?
$ 45
$ 320
$ 500
$4 500
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
The next term in the sequence 1, 6, 13, 22, 33 is
44
45
46
52
What is the value of the digit 2 in the number 48.621?
2/100
2/10
2
200
The square root of 181 lies between
13 and 14
45 and 46
12 and 13
11 and 13
By the distributive law 49 x 17 + 49 x 3 =
52 + 66
52 x 66
49 + 20
49 x 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)
The shaded region represents
P'
(P ∪ Q')
P ∪ Q
Q ∩ P'
In the Venn diagram U = {students who play games} H = {students who play hockey} V = {students who play volleyball} The number of students in each set is indicated. How many students do NOT play volleyball?
2
3
5
8
If Q = {a, b, c}, how many subsets can be obtained from the set Q?
2 + 3
2 x 3
3<sup>2</sup>
2<sup>3</sup>
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
An article bought for $125 was sold for $175. The profit as a percentage of the cost price was
28.6
40
50
71.4
If TT$6.00 is equivalent to US$1.00, then TT$15.00 in US dollars is
$0.25
$0.40
$2.50
$4.00
A dinner at a restaurant was advertised at $60 plus 18% tax. The total bill for this dinner was
$60.00
$70.80
$78.00
$81.60
Which amount is the BEST buy?
100 ml
150 ml
200 ml
250 ml
Mary invested $200 for 3 years at 5% per annum. John invested $300 at the same rate. If they both received the same amount of money in simple interest, for how many years did John invest his money?
1½
2
3
10
A salesman is paid 5% of his sales as commission. His sales for last month were $2 020. How much was he paid?
$ 11.00
$ 20.20
$101.00
$110.00
If the simple interest on $900 for 3 years was $108, what was the rate of interest?
3%
4%
12%
25%
If r * s = s, then 3 * 2 =
8
9
12
27
If , then p =
20 - 5
20 + 5
20 + 5
20 × 5
If x = -2, y = 3, t = 2, then =
=
16a
64a
16a^2
64a^2
If 5(2x - 1) = 35, then x =
-4
1/4
3/4
4
Given that 2x + 3 ≥ 9, the range of values of x is
x > 3
x ≥ 3
x > 6
x ≥ 6
If a = 3 and ab = 6, then a² - b² =
1
2
5
13
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 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 is the circumference of the circle?
16 cm
24 cm
48 cm
64 cm
How many kilograms are there in one tonne?
10
100
1000
10 000
2500 millimetres expressed in metres is
0.25
2.5
25
250
The volume, in cm³, of a cube of edge 3 cm is
9
18
27
54
Which of the following statements is true about the perimeters of the figures A and B?
Perimeter of A = Perimeter of B
Perimeter of A > Perimeter of B
Perimeter of A ≥ Perimeter of B
Perimeter of A < Perimeter of B
A man started a journey at 09:30 h and arrived at his destination, in the same time zone, at 13:30 h on the same day. If his average speed was 30 km/h, then the distance, in km, for the journey was
120
133
400
430
The figure above, not drawn to scale, consists of a triangle resting on a square of side 5 cm. The height of the triangle is 4 cm. What is the TOTAL area of the figure?
35 cm²
45 cm²
50 cm²
100 cm²
The diagram, not drawn to scale, shows a cylinder of radius 3 cm and height 8 cm. The volume is
12 π cm³
48 π cm³
72 π cm³
192 π cm³
On leaving Trinidad, the time on a pilot's watch was 23:00 h. When he arrived at his destination in the same time zone on the next day, his watch showed 03:00 h. How many hours did the flight take?
4
16
20
26
The mode of the numbers is
10
14
18
27
How many children took part in the survey?
5
15
75
87
In a class of 20 students, 12 are girls. What is the probability that a student chosen at random is a boy?
The pie chart below, drawn to scale, shows how a student used 12 hours in studying English (E), Maths (M), French (F) and Geography (G). The amount of time spent studying Mathematics is APPROXIMATELY
1 hour
2 hours
3 hours
4 hours
Each of the letters of the word 'CHANCE' is written on a slip of paper similar in size and shape. The slips of paper are then placed in a bag and the bag thoroughly shaken. What is the probability of drawing a letter 'C'?
Which of the following represents the graph of a function?
Graph A
Graph B
Graph C
Graph D
The straight line AB cuts the y axis at
(0,3)
(0,2)
(3,-2)
(0,-2)
The gradient of AB in the graph above is
2
-2
The inequality above is defined by
-2≤x<3
-2<x≤3
-2≤x≤3
-2<x<3
If f(x)=2x-1, then f(3)=
-32
-19
17
35
What is the gradient of the straight line 2y=3x-8?
-3
-3/2
2/3
3
What is the measure of <BAC?
30°
45°
60°
75°
In the triangle, the value of x is
40
80
100
140
Which of the following statements BEST describes the properties of an equilateral triangle?
I. All sides are equal. II. All angles are equal. III. Two sides are equal. IV. Two angles are equal.
I and II only
II and III only
III only
IV only
In the triangle ABC, not drawn to scale, AB is 17 cm, AC is 15 cm, BC is x cm and angle BCA is 90°. The value of x is
7
8
9
12
The image of a point P(-2, 3) under a translation (3, 4) is
(-6, 12)
(-5,-1)
(5, 1)
(1,7)
In the right angled triangle above, which trigonometric ratio is equal to 4/8?
sin x
tan y
cos x
tan x
In the graph 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 (-4, -8)
an enlargement of scale factor -1
Item 59 refers to the diagram below. <diagram> y 4 A B 3 C 2 1 → x 0 1 2 3 4 5 </diagram>
The line segment AB is rotated through 90° clockwise about the point C.
The coordinates of A', the image of A, are
(1, 1)
(1, 2)
(1, 4)
(2, 2)
In a triangle ABC, angle A = x° and angle B = 2x°. What is the size of angle C?
60°
45°
()$°
()°