Free CXC Mathematics Paper 1 May/June 2016 past paper from 2016. 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 2016 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 May/June 2016 past paper from 2016. 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
What percentage of 40 is 8?
5 %
20 %
32 %
150 %
540 beads are shared in the ratio 4:5. The LARGER share of beads is
60
240
300
432
18.96 x 2.03 correct to two significant figures equals
0.38
38
38.10
380
0.45 written as a common fraction, in its simplest form, is
The EXACT value of is
0.207
0.0207
20.7000
20 700
3.3 x 2.5 + 5.7 x 2.5 =
8.25
9.00
13.25
22.50
What is the value of the digit 2 in the number 48.621?
2
200
The LARGEST prime number that is less than 100 is
91
93
97
99
If 3n is an odd number, which of the following is an even number?
3n - 1
3n + 2
3n - 2
3n + 2n
Item 11 refers to the following information. P = {prime numbers} Q = {odd numbers} R = {even numbers}
Which of the following sets is empty?
P ∩ R
P ∪ Q
P ∩ Q
Q ∩ R
The set {, where is an integer} is
{6, 7, 8, 9}
{6, 7, 8, 9, 10}
{7, 8, 9}
{7, 8, 9, 10}
If how many subsets can be obtained from the set Q?
Item 14 refers to the following information. M = {p, q, r} N = {p, q}
Which of the following statements is TRUE?
M ⊂ N
M ∪ N = N
M ∩ N = {}
M ∩ N = N
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
The cost price of a refrigerator is $1850.00. A buyer who is given a discount of 5% for a cash purchase will pay
$1942.50
$1845.00
$1757.50
$1350.00
Tom bought a pen for $30 and sold it to gain 20% on his cost price. How much money did he gain?
$6
$20
$36
$40
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
A television set costs $350 cash. When bought on hire-purchase, a deposit of $35 is required, followed by 12 monthly payments of $30. How much is saved by paying cash?
$10
$25
$40
$45
The simple interest on a sum of money invested at 5% per annum for 3 years was $90. The sum of money invested was
$ 54
$ 150
$ 600
$1350
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
25
30
80
If the simple interest on $900 for 3 years was $108, what was the rate of interest?
3%
4%
12%
25%
$3x^2 × 2x^3 = $
Using the distributive law, is simplified to
-2pqr
If , then
If , then is
5
7
8
9
If , then $x =$
-4
1/4
3
4
What is the value of , if and ?
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
When 5 is added to a certain number and the result is multiplied by 3 the final answer is 27. What is the original number?
4
12
14
19
3 800 millimetres expressed in metres is
0.38
3.8
38
380
The circle shown in the diagram, not drawn to scale, has a centre at O. The area of the circle, in cm², is
6π
9π
12π
36π
10 800 seconds expressed in hours is
3
18
30
180
The volume, in cm³, of a cube of edge 3 cm is
9
18
27
54
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 length of the circumference of the circle?
16 cm
24 cm
48 cm
64 cm
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 area of the trapezium PQRS above is
45 cm²
65 cm²
90 cm²
130 cm²
The diagram 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 score which occurs most frequently in a distribution is defined as the
median
mean
range
mode
The bar chart shows the ages of children who took part in a survey.
How many children took part in the survey?
5
15
75
87
The median of the scores presented above is
4
7.25
7.50
8
In a class of 20 students, 12 are girls. What is the probability that a student chosen at random is a boy?
The piechart above shows the preference in drinks of a group of students. Each student may select only one drink.
If 12 students prefer chocolate, then the TOTAL number of students is
48
72
180
360
If the mean of the numbers and is 12, then the sum of the numbers is
4
12
48
80
The equation of the line which passes through the point (0,5) and has a gradient of 4 is
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
-1/2
1/2
If , then
19
24
29
31
What is the gradient of the straight line ?
-3
-3/2
2
3
The range of for the domain is
{32, 1, 0, 1, 32}
{10, 5, 0, 5, 10}
{-10, -3, 0, 3, 10}
{-32, -1, 0, 1, 32}
What transformation maps PQR onto P'Q'R'?
Enlargement
Rotation
Translation
Reflection
The image of a point P(1, 2) under a translation is P΄ (-5, -4). What is the translation vector?
Item 54 refers to the following diagram.
In the diagram AB and CD are parallel. Which of the following BEST describes the relation between x and y?
x = y
x > y
x + y > 2x
x + y < 2x
Item 55 refers to triangle ABC below.
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
Item 56 refers to the following diagram.
In the diagram, AB is parallel to EC. The measure of <BDE is
40°
50°
140°
180°
Item 57 refers to the diagram below.
In the right-angled triangle above, which trigonometric ratio is equal to ?
sin x
tan y
cos x
tan x
Item 58 refers to the following diagram.
In the isosceles triangle shown above, the value of x is
30
60
120
150
OAA', OBB' and OCC' are straight lines. A ABC is mapped onto AA'B'C' by an enlargement with centre O. What is the scale factor of the enlargement?
1/2
-1/2
2
-2
The diagram above, not drawn to scale, shows the angle of depression of a point X from Z is 30°. If X is 10 metres from Y, the height of YZ, in metres, is
10 tan 30°
10 sin 30°
10 cos 30°
10 cos 60°