Free CXC Mathematics Paper 1 January 2024 past paper from 2024. 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 January 2024 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 January 2024 past paper from 2024. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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The number 3.14063 written correct to 3 decimal places is
3.140
3.141
3.146
3.150
What percentage of 40 is 8?
5
20
32
150
In standard notation, 208.06 is written as
What is the LEAST number of apples that can be shared equally among either 6, 10 or 15 children?
24
30
60
90
If $350 is shared in the ratio 2:5, the LARGER share is
$50
$70
$100
$250
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 the universal set U = {1, 2, 3, 4, 5, 6} and H = {3, 4, 6}, then H' =
{1, 3, 5}
{1, 2, 5}
{2, 4, 6}
{3, 4, 6}
Which of the following statements describes the set of integers from -3 to 6?
{x:-3> x > 6, x ∈ Z}
{x: -3 ≤ x ≥ 6, x ∈ Z}
{x:-3 ≤ x ≤ 6, x ∈ Z}
{x:-3<x<6, x ∈ Z}
If X and Y are 2 finite sets such that n(X) = 9, n(Y) = 10 and n(X U Y) = 15, then n(X ∩ Y) is
4
6
10
19
Item 10 refers to the following Venn diagram. U X Y
In the Venn diagram, X represents the set of factors of 12. Y represents the set of factors of 9. The shaded region represents the set of all factors of
3
6
21
108
Which of the following pairs of sets is an example of disjoint sets?
X = {whole numbers} and Y= {rational numbers}
G = {multiples of five} and H = {multiples of ten}
P= {multiples of 2} and Q= {multiples of 3}
E = {even numbers} and F= {odd numbers}
The 30 students in Teacher May's class have either a dog (D) or a cat (C), or none of the two. ALL the students who have a cat also have a dog. If n(C) = 12 and n(D) = 16, which of the following Venn diagrams correctly represents this information?
Excluding sales tax, how much will be saved when a video which costs $12.00 is sold at a 20% discount?
$0.24
$1.20
$2.40
$3.60
If EC$2.50 is equivalent to US$1.00, then EC$20.00 in US dollars is
$ 5.00
$ 8.00
$50.00
$80.00
The cash price of a television set is $350. 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
A company employs 20 persons as gardeners and clerks. The mean daily wage of ALL the employees is $22.40. If EACH of the 12 gardeners is paid $26.00 per day, then the daily amount paid to each of the 8 clerks is
$ 3.60
$12.20
$17.00
$48.40
A man's annual salary is $45 000. His tax free allowances total $13 000. He has to pay a tax of 20% on his taxable income. The tax payable is
$ 2 600
$ 6 400
$ 9000
$11 600
A salesman sells a car for $10 500. If he is paid a commission of 5% for the first $10 000 and 8% on the remainder, then the TOTAL commission he receives is
$525
$530
$540
$565
A man's basic wage for a 40-hour week is $160.00. He is paid $5.00 per hour for overtime. If he works hours overtime in a certain week, then his wage for that week is
$165.00
$166.50
$171.50
$192.50
A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?
$16
$20
$28
$36
Meghan normally saves $x each month but in August she saved $4 less than twice her usual amount. In August, she saved
$4x
$6x
$2x-4
$2(x-4)
If , then
2
The trapezium with height, , has an area of cm². The height of the trapezium expressed in terms of is
$3-(x-2) = $
1-x
x+5
5-x
3x+2
is the same as
If , then is
-1
3
7
11
The vector is represented by
EG expressed in terms of k and m is
k+m
k-m
m-k
-m-k
If 5 = 4 , then the values of x and y are
x = 4, y = 5
x = 8, y = 16
x = 2.5, y = 4
x = 10, y = 20
The inverse of A, A¹, is given by
If it took a speedboat 9 hours to travel a distance of 1 080 km, what was its average speed, in kmh⁻¹?
12
102
120
1 200
The perimeter of the trapezium, in cm, is
0.092
9.2
92
920
If the circumference of the circle is 15 cm, then the length of the minor arc AB, in cm, is
An aircraft leaves A at 16:00 hours and arrives at B at 19:30 hours, travelling at an average speed of 550 kilometres per hour. A and B are in the same time zone. The distance from A to B, in kilometres, is
907.5
962.5
1815
1 925
If the area of the major sector is 515 cm², then the area of the circle, in cm², is
103
412
575
618
The volume of the cuboid is 320 cm³ and the height is h cm. If the length of the square base of the cuboid is 8 cm, what is the value of h?
5 cm
16 cm
32 cm
64 cm
The area of a triangle is 60 cm² and its height is 10 cm. What is the length of the base of the triangle, in cm?
6
12
13
17
A square has the same perimeter as a rectangle whose sides are 9 cm and 15 cm in length. What is the length, in cm, of the side of the square?
9
12
12.5
50
The lower limit of the median class is
31
41
51
61
How many children have a mass of at MOST 50 kg?
24
50
76
100
The modal score is
8
9
10
12
The lower quartile of the marks scored by the 200 students is
30.0
35.0
37.5
45.0
A child is selected at random. What is the probability that the child is MORE than 4 years old?
1/5
1/15
13/15
4/5
Six hundred students sit an examination. The probability of a randomly selected student passing the examination is 5/6. How many students are expected to fail?
80
100
120
480
Which of the following functions represents the equation of a straight line?
The point where a linear function crosses the vertical axis is
always negative
always positive
the x-intercept
the y-intercept
The arrow diagram above describes the relation
y is less than x
x is a factor of y
y is a factor of x
x is a multiple of y
What is the y-intercept of the straight line 2y=3x-8?
2
3
-3/2
-4
If , then $h(4) = $
-4
-14/5
2
14/5
What is the value of , if the function is given as ?
1
2
3
7
The values of x at the points where intersects the x-axis are
x = 0 and x = 2
x = 2 and x = 4
x = 0 and x = 4
x = 0 and x = -4
A line L is perpendicular to the line . What is the gradient of the line L?
-5/2
-2/5
2/5
5/2
In the diagram, the translation by which AB is mapped onto A'B' is represented by
[1, 1]
[1, 2]
[2, 3]
[2, 5]
Which of the following statements BEST describes the relation between p and q?
In a polygon, Angle A = and Angle B are supplementary, and Angle A and Angle B are supplementary. What is the size of Angle B?
If the line is rotated anti-clockwise about O through , then its image is
What is the size of Angle ?
If Y is 12 metres from Z, then the base XY, in metres, is
Which trigonometric ratio is equal to ?
sin x
tan y
cos x
tan x
11