CSEC Mathematics Paper 1 January 2025 - Free CXC Past Paper with Answers

What percentage of $40$ is $8$ ?

The value of the digit $2$ in the number is

$2000 \times 10^{-3}$

$\sqrt{17^2 - 15^2}$ is equal to

In a school, the ratio of the number of pupils to the number of teachers is $20:1$ . If the number of pupils is $840$ , how many teachers are there?

A bag of apples can be shared equally among either $6$ , $10$ or $15$ children. The MINIMUM number of apples that is likely to be in the bag is

$99 \times 101$ has the same value as

$(99 \times 100) + 1$

$(99 \times 100)(99 \times 1)$

$(99 \times 100) - (99 \times 1)$

$(99 \times 100) + (99 \times 1)$

The number of elements in the shaded region of the Venn diagram is

In which of the following pairs of sets is one set NOT a subset of the other?

$P = \{ \text{multiples of } 12 \}$ and $Q = \{ \text{factors of } 3 \}$

$E = \{ \text{factors of } 6 \}$ and $F = \{ \text{factors of } 12 \}$

$X = \{ \text{whole numbers} \}$ and $Y = \{ \text{rational numbers} \}$

$G = \{ \text{multiples of five} \}$ and $H = \{ \text{multiples of ten} \}$

In a class the fraction of students who play hockey is $\frac{1}{3}$ and the fraction of students who play BOTH hockey and volleyball is $\frac{1}{6}$ . The number of students who play hockey only is TWICE the number of students who play football only. What percentage of students play football but NOT hockey?

How many students play EITHER hockey OR volleyball but not both?

The set of positive integers that are divisible by $7$ is an example of

The correct values of $P$ , $Q$ and $T$ are

$0.99 / $1.66 / $19.60

$3.10 / $6.70 / $20.80

$4.05 / $5.50 / $19.60

$3.10 / $2.60 / $20.80

According to the bill, the amount paid for VAT is

At a bank, EC$2.60 is equivalent to US$1.00. For every US$1.00 exchanged, EC$0.10 is deducted as an exchange tax. How many EC dollars will Leon receive if he exchanges US$1 000.00?

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?

By selling a bag for $1 140, Vishal incurred a loss of 5%. At what price should he have sold the bag to gain a profit of 5%?

The cost of a machine is estimated to be decreasing at the rate of 10% every year. If it currently costs $6 000, what will be the estimated value of the machine after 2 years?

A man pays $60$ cents for every $200\text{ m}^3$ of gas used, plus a fixed charge. If he pays $$178.75$ when he uses $55\text{ }000\text{ m}^3$ of gas, how much is the fixed charge?

The compound interest on $$12\text{ }000$ for $2$ years at $10%$ per annum, compounded annually, is

The product of a number $p$ and its reciprocal may be written as

$p^2 \times \frac{1}{p}$

$p \times \frac{1}{p}$

The area of the rectangle, in $\text{cm}^2$ , is $x^2$ . The equation that may be used to find the value of $x$ is

$x^2 = (x - 2)(x - 4)$

$x^2 = (x - 4)(x + 2)$

$x^2 = 2(x - 4)(x - 2)$

Althea, Bob and Chris collect shells. Althea has $p$ shells, Bob has TWICE as many shells as Althea and Chris has $4$ more than the total number of shells that both Althea and Bob collected. Altogether, the total number of shells they have is

If $3 + \frac{2}{x} = 1$ , then the value of $x$ is

The value of $5^{n+1} \times 5^{n+2}$ when $n = -1$ is

If $40$ students will take $20$ days to paint a wall, how many days will it take to paint the wall if $10$ more students are added, working at the same rate?

If $P = \begin{pmatrix} 2 & 5 \\ -1 & 3 \end{pmatrix}$ , then the value of $|P|$ is

If $A = \begin{pmatrix} 1 & 2 & 5 & 4 \\ 6 & 1 & 3 & 7 \\ -2 & 3 & 2 & 9 \end{pmatrix}$ , then the order of $A$ is

$\vec{EG}$ expressed in terms of $k$ and $m$ is

If $5 \begin{pmatrix} x \\ y \end{pmatrix} = 4 \begin{pmatrix} 10 \\ 20 \end{pmatrix}$ , then the values of $x$ and $y$ are

Given that $\pi = \frac{22}{7}$ , then the volume of the cylinder, in $\text{cm}^3$ , is

In a rectangular garden plot, $15\text{ m}$ long and $12\text{ m}$ wide, an area of $80\text{ m}^2$ is used for a vegetable garden. What area of the plot is NOT used for vegetable gardening?

How long will a speedboat take to travel between two harbours which are $1\,080\text{ km}$ apart, if it travels at an average speed of $120\text{ kmh}^{-1}$ ?

The lengths of the sides of a triangle are $x$ , $2x$ and $2x$ centimetres. If the perimeter is $20$ centimetres, what is the value of $x$ ?

The perimeter of the trapezium, in millimetres, is

If the area of the major sector is $115.5 \text{ cm}^2$ , then the diameter of the circle, in cm, is

The surface area of the compound solid, in $\text{cm}^2$ , is

The distance around a lake is $8 \text{ km}$ . On a map, this distance around the lake is represented by a length of $4 \text{ cm}$ . The scale on the map is