Free CXC Mathematics Paper 1 May/June 2026 past paper from 2026. 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 2026 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 1 May/June 2026 past paper from 2026. 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.
(-3)² + (-2)² is equal to
-13
-10
5
13
When 0.45 is written as a common fraction in its simplest form, the result is
9/20
4/5
9/10
5/4
What number when added to gives 2?
1/3
2/3
1
3
If , then $23.5 × 0.487 = $
11.4445
114.445
1 144.45
11 444.4
Items 5 and 6 refer to the following table which shows the amount of money an umpire earns for the number of matches he officiates during a T20 cricket tournament.
Umpires are paid a flat fee upfront for appearing in the tournament and a fixed rate for each match they officiate.
| Number of Matches | 3 | 4 | 5 | 6 |
|---|---|---|---|---|
| Amount Earned ($) | 2 250 | 2 500 | 2 750 | 3 000 |
Based on the information in the table, umpires are paid a flat fee of
$ 250
$1 200
$1 500
$1 750
Umpire A officiates at 10 games while Umpire B officiates at 6. The ratio of their earnings, A:B, is
3:3
4:3
5:3
11:6
Items 7-9 refer to the following information about the universal set, U, and 2 other sets, M and N. U = {p, q, r, s, t} M= {p, q, r} N = {p, q}
The number of possible subsets of Set M is
2
4
6
8
The n(M ∩ N') is
0
1
3
5
Which of the following statements about Sets M and N is true?
M ⊂ N
M ∪ N = M
M ∪ N = N
M ∩ N = {}
Item 10 refers to the following information which describes 3 sets. P = {Prime numbers} Q= {Odd numbers} R = {Even numbers}
Which of the following sets is empty?
P ∩ R
P ∪ Q
P ∩ Q
Q ∩ R
All students in a class play Scrabble or Checkers or both. If 36% of the students play Scrabble only and 48% of the students play Checkers only, what percentage of students play BOTH games?
12
16
84
88
How many students play tennis but NOT chess?
2
3
4
6
A refrigerator costs $1 850.00. A 5% sales tax is also added to the cost of the refrigerator. What is the final cost of the refrigerator?
$1 350.00
$1 757.50
$1 845.00
$1 942.50
If EC$2.50 is equivalent to US$1.00, then EC$25.00, in US dollars, is
$ 5.00
$10.00
$62.50
$80.00
For every $100.00 in sales or a part thereof, a salesman is paid $10.00 as commission. If his sales for a particular month were $1 020.00, how much commission was he paid?
$ 10.20
$ 20.20
$102.00
$110.00
The annual interest rate on a mortgage for a house assessed at a value of $450 000 is 5 cents on every $1. What is the interest paid on the mortgage for the first year?
$ 11 750
$ 22 500
$107 500
$117 500
The value of a plot of land is $18 000. Land tax is charged at the rate of $0.70 per $100 value. What is the TOTAL amount of tax payable on the land?
$100.70
$110.00
$120.70
$126.00
A man's basic wage for a 40-hour week is $600.00. He is paid overtime at the rate of times the hourly rate. If his TOTAL wage for a particular week was $802.50, how many hours overtime did he work for that week?
9
10
12
15
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
$ 1 350
At a sale, Jack bought a bat for $36.00. The price included a 10% discount. What was the original price of the bat?
$32.40
$35.00
$39.60
$40.00
3x² × 2x³ =
6x⁵
5x³
6x⁶
72x³
If x is an integer that satisfies the inequality 4 < 2x ≤ 6, then
2 < x ≤ 3
2 < x ≤ 6
4 < x ≤ 3
4 < x ≤ 6
The distance, L, that an elastic string stretches when an object of mass m is hung from it, varies directly as the mass of that object. If the string is stretched a distance of 31 cm by a 5-kg object, how far will a 29-kg object stretch the string?
4.68 cm
6.2 cm
135.72 cm
179.8 cm
John has x marbles and Max has twice as many marbles as John. Max gives John 5 of his marbles. How many marbles does John now have?
x + 5
x - 5
2x - 5
2x + 5
Given that 3 * 6 = 12 and 2 * 5 = 9, then a * b may be defined as
a² - b
6a - b
2a + b
4(b - a)
If a = 3 and ab = 6, then a² - b² =
1
2
5
13
Given that A = , then 3A equals
The determinant of P is
-13
-2
2
26
The vector p - q is represented by
Which of the following diagrams BEST shows the resultant (sum), R, of the forces F, and F₂?
The length 3 800 millimetres expressed in metres is
0.38
3.8
38
380
Item 32 refers to the following diagram which shows a sector of a circle, AOB. AOB = 60° and the radius OB is r units long.
The area of AOB, in terms of π, is given by
The area of a rectangle is 48 cm². What is its perimeter, in cm, if its length is 8 cm?
14
24
28
32
Item 34 refers to the following diagram of a trapezium.
If the area of the trapezium, PQRS, is 65 cm², then its height, h, is
2.5 cm
3.6 cm
5.0 cm
8.0 cm
The scale on a map is 1:120 000. On the map, the distance between Amy's house and her school is 8.5 cm. The actual distance between Amy's house and her school, in km, is
10.2
85.2
102.0
1 020.0
Item 36 refers to the following diagram which shows a compound shape made up of a rectangle and two identical semi-circles, one on each short side.
Using , the area of the compound shape in cm, is
198
210
316
364
The area of a rectangle is 40 cm². If the length is multiplied by 4 and the width is halved, the area would then be
20 cm²
40 cm²
80 cm²
160 cm²
Dina drove her car at 58 km/h for 6 hours then increased her speed by 17 km/h, to ensure that she reached her destination in another hours. Her average speed, in km/h, for the entire journey was
48.0
49.8
60.0
61.4
Thirty students recorded the colours of their eyes, choosing from the colours brown, blue, green, hazel, and black. The measurement scale used in this scenario is classified as
ratio
ordinal
interval
nominal
How many students scored at MOST 45 marks?
34
40
166
170
The median mark scored by the 200 students is
30.5
37.5
52.0
100.0
If EXACTLY 28 students passed the test, then the 'pass mark' is most likely
23
37
46
52
If the mean of the FOUR numbers 4, 8, x and 12 is 10, then x is
4
10
12
16
Item 44 refers to the following table which shows the results of a survey of 100 persons from 2 major ethnic groups, P and R. Respondents were interviewed about their attitude towards Mathematics.
| Attitude Towards Mathematics | Ethnicity | Total |
|---|---|---|
| P | R | |
| Positive | 25 | 12 |
| Neutral | 11 | 9 |
| Negative | 24 | 19 |
| Total | 60 | 40 |
A respondent from ethnic group P is selected at random. What is the probability that he has a negative attitude towards Mathematics?
Which of the following diagrams BEST illustrates a function?
The equation of the line that crosses the vertical axis at the point (0, 5) and that has a gradient of 4 is
The coordinates of the maximum point of the function are
(2, 4)
(0, 4)
(4, 2)
(4, 4)
If , then
-32
-19
17
35
If the line segment AB is extended, at what point is the line segment expected to intercept the vertical axis?
(0, 0)
(0, -1)
The equation of the perpendicular bisector of AB is
Item 51 refers to the following set of ordered pairs which represents a function, f. (2, 5), (5, 8), (8, 11), (11, 14)
Which of the following equations BEST describes the function?
Item 52 refers to the following information regarding the way in which John moves along a straight line for 30 seconds. For the first 10 seconds, John starts from rest and runs with uniform acceleration. He then runs with constant speed for the next 10 seconds then slowly decreases his speed to arrive at his destination within the final 10 seconds.
Which of the following velocity-time graphs represents John's motion along the straight line?
If , which of the following ratios also has the same value as ?
In which of the following polygons does the sum of the measures of the interior angles equal the sum of the measures of the exterior angles?
Triangle
Hexagon
Pentagon
Quadrilateral
What sequence of transformations will map Rectangle WXYZ onto its image, Rectangle W"X"Y"Z"?
A translation of 8 units to the left, followed by an enlargement, centred at the origin with a scale factor of
A reflection in the y-axis, followed by an enlargement, centred at the origin with a scale factor of
A counterclockwise rotation of 90° about the origin, followed by an enlargement, centred at the origin with a scale factor of
An enlargement, centred at the origin with scale factor of , followed by a counterclockwise rotation of 90° about the origin
The length of MO, in cm, is
2.5
3.0
3.5
7.0
In the diagram, the translation by which AB is mapped onto A'B' is represented by
2 1
1 1
3 2
5 3
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°
A plane is flying in the direction of 045° and changes course in a clockwise direction to 135°. The angle through which the plane turns is
45°
90°
135°
270°
Which of the following options shows the correct values of p and q?
p = 68° q = 16°
p = 68° q = 18°
p = 73° q = 39°
p = 74° q = 34°