CSEC Mathematics Paper 1 May/June 2022 - Free CXC Past Paper with Answers

What percentage of 40 is 8?

The number 3.14063 written correct to 3 decimal places is

The first 3 common multiples of 3, 4 and 6 are

If $350 is shared in the ratio 2:5, the SMALLER share is

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?

If the universal set U = {1, 2, 3, 4, 5, 6} and H = {3, 4, 6}, then H'=

Which of the following statements describes the set of integers greater than -3 but less than 6?

{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(X ∩ Y) = 4 and n(X U Y) = 15, then n(Y) is

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

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?

Which of the following pairs of sets is an example of disjoint sets?

E= {even numbers} and F= {odd numbers}

P= {multiples of 2) and Q= {multiples of 3}

X= {whole numbers} and Y= {rational numbers}

G= {multiples of five) and H= {multiples of ten}

If EC$2.50 is equivalent to US$1.00, then EC$20.00 in US dollars is

At a store, 3 cents on every dollar spent is charged as sales tax. How much is paid as sales tax on a costume which costs $196.00?

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?

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

Delano invests $5 000 for 2 years in an investment scheme. The investment earns compound interest of 8% per annum. What will be the amount of Delano's investment at the end of the two-year period?

A car presently valued at $12 000 depreciates at the rate of 10% per annum. What will be the value of the car one year later?

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 6\frac{1}{2} hours overtime in a certain week, then his wage for that week is

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

Althea normally saves $x each month but in June she saved $4 more than twice her usual amount. In June, she saved

If $m*n = \sqrt{m^2-n^2}$ , then $5*2 = $

Item 23 refers to the following diagram of a trapezium.

The trapezium with height, $h$ , has an area of $x^2$ cm². The equation that may be used to find the value of $x$ is

$x^2 = \frac{h}{2}(x-2)$

$x^2 = \frac{h}{2}(x-6)$

$5^{n+1} \times 5^{n+2}$ is the same as

If $5(y-2) - 3(y+4) = 0$ , then $y$ is

Item 27 refers to the following vectors, p and q.

The vector $p - q$ is represented by

$\begin{pmatrix} 1 \\ 12 \end{pmatrix}$

$\begin{pmatrix} 5 \\ 12 \end{pmatrix}$

$\begin{pmatrix} 5 \\ 2 \end{pmatrix}$

$\begin{pmatrix} 1 \\ 5 \end{pmatrix}$

Item 28 refers to the following diagram of a parallelogram, in which $\vec{EF}$ is parallel to $\vec{HG}$ , $\vec{EH}$ is parallel to $\vec{FG}$ , $EF = k$ and $EH = m$ .

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

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

Item 30 refers to the following matrices, A and B. $A = \begin{bmatrix} 1 & 3 & -3 \\ 3 & 0 & 5 \end{bmatrix}$ , $B = \begin{bmatrix} 3 & 0 \\ 2 & 1 \\ 0 & 5 \end{bmatrix}$

The matrix product AB is

$\begin{bmatrix} -12 & -6 \\ 25 & 9 \end{bmatrix}$

If it took a speedboat 9 hours to travel a distance of 1 080 km, what was its average speed, in kmh⁻¹?

Item 32 refers to the following diagram of a trapezium.

The perimeter of the trapezium, in millimetres (mm), is

Item 33 refers to the following circle, with centre O.

If the circumference of the circle is 15 cm, then the length of the minor arc AB, in cm,

$\frac{360}{120} \times 15$

$\frac{120}{360} \times 15$

$\frac{360}{360-120} \times 15$

$\frac{360-120}{360} \times 15$

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

Item 35 refers to the following diagram which shows a circle, with centre O, a sector and the major and minor arcs indicated.

The length of the major arc, FE, is 40 cm. What is the circumference of the circle, in cm?

Item 36 refers to the following diagram which shows a cuboid.

The volume of the cuboid is 320 cm³ and the height is 5 cm. If the cuboid has a square base, what is the length of one side of the base?

The area of a triangle is 60 cm² and its base is 12 cm. What is the perpendicular height of the triangle, in cm?

A square has the same area as a rectangle with sides of length 9 cm and 16 cm. What is the length of the side of the square?

The upper limit of the modal class is

How many children have a mass GREATER than 40 kg?

Item 41 refers to the following table which shows the frequency of scores obtained by students on a test. Scores 2 3 5 6 8 11 Students 8 4 6 3 12 2

The median of the marks scored by the 200 students is

How many children took part in the survey?

Six hundred students write an examination. The probability of a randomly selected student failing the examination is $\frac{1}{5}$ . How many students are expected to pass?

Which of the following equations represents a linear function?

The set of ordered pairs below represents a relation that is a function. $\{(2, 7), (-4, 6), (10, 4)\}$ Which of the following points, when added to the set, would form a relation that is NOT a function?