CSEC Mathematics Paper 1 January 2021 - Free CXC Past Paper with Answers

What is the value of the digit 2 in the number 48.621?

In standard notation, 208.06 is written as

$2.0806 \times 10^2$

$20.806 \times 10^1$

$2.0806 \times 10^{-2}$

$0.20806 \times 10^3$

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?

What is the LEAST number of apples that can be shared equally among either 6, 10 or 15 children?

If $4.3 \times 0.37 = 1.591$ , then $0.43 \times 370$ is

If $P = \{2, 3, 5, 7\}$ , $Q = \{2, 3, 6\}$ and $S = \{2, 4, 5\}$ , then $P \cap (Q \cup S) =$

What is $n(Q \cap P)$ ?

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

$E = \{\text{even numbers}\}$ and $F = \{\text{odd numbers}\}$

$P = \{\text{multiples of } 2\}$ and $Q = \{\text{multiples of } 3\}$

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

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

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?

Item 12 refers to the following Venn diagram of 2 intersecting sets which is partially shaded. U P Q

In the Venn diagram, the unshaded area represents

For every $100 sales, 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?

At a store, sales tax is charged at a rate of 2% on the cost price of an item. The sales tax on a dress which costs $180 is

If EC $2.50 is equivalent to US $1.00, then EC $25.00, in US dollars, is

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?

A loan of $8 000 was paid back in 2 years in monthly payments of $400. The interest on the loan, as a percentage, was

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 pays 60 cents for every 200 m² of gas used, plus a fixed charge of $13.75. How much does he pay when he uses 55 000 m³ of gas?

If $7 000 is borrowed at the rate of 5% per annum for 3 years, the simple interest 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 cm², is x². The equation that may be used to find the value of x is

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

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

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

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

If $|A| = 0$ , then $A$ is

a non-singular matrix

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

If the vectors $\mathbf{p}$ and $\mathbf{q}$ are $\begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $\begin{pmatrix} -1 \\ 4 \end{pmatrix}$ respectively, then $-\mathbf{p} - 2\mathbf{q}$ is

$\begin{pmatrix} 5 \\ -6 \end{pmatrix}$

$\begin{pmatrix} -2 \\ -6 \end{pmatrix}$

Item 30 refers to the following diagram of triangle OLM, in which R is the midpoint of OL and T the midpoint of OM. Further, $\vec{OR} = \mathbf{a}$ and $\vec{OT} = \mathbf{b}$ .

$\vec{LM}$ expressed in terms of $\mathbf{a}$ and $\mathbf{b}$ is

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

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

If the volume of the cylinder, in terms of π, is 180π cm³, then the height of the cylinder, in cm, is

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?

Fifty guests had 2 glasses of champagne each. Each glass held 150 millilitres. How many litres of champagne were used?

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

The circumference of a circle is 154 cm. Given that $\pi = \frac{22}{7}$ , the diameter of the circle, in centimetres, is

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

The mode of the number of books bought is

How many students play cricket?

Items 41-42 refer to the following chart which shows the amount of fish bought, in kg, by the first 60 customers at a fish market.

How many customers bought at LEAST 6 kg of fish?

The median amount of fish bought by customers is

Item 43 refers to the following diagram which shows the cumulative frequency curve of the heights of 20 plants.

The interquartile range of the set of measurements is

A respondent from ethnic Group P is selected at random. What is the probability that he has a negative attitude towards Mathematics?

Item 45 refers to the following arrow diagram. y 2 8 3 9 10

The arrow diagram above describes the relation

x is a multiple of y

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?

If h(x) = $\frac{3x-2}{5}$ , then h(-6) =

Given that y varies inversely as x, and y=16 when x= $\frac{1}{2}$ , which of the following equa- tions represents the relationship between x and y?

Which of the following represents the equation of a straight line?

What is the x-value of the point of inter- section for the system represented by the functions f(x) = 3 and g(x) = $\frac{5}{2}x+1$ ?

A line L is parallel to the line $2x-5y-8=0$ . What is the gradient of the line L?

Which of the following sets is represented by the function $f: x \to x^2 + 3$ where $x \in \{0, 1, 2, 3\}$ ?

$\{(0, 3), (1, 1), (2, 4), (3, 9)\}$

Item 53 refers to the following diagram of a circle.

If O is the centre of the circle, then $y^\circ$ is

Item 54 refers to the following diagram.

In the diagram PQ and RS are parallel. Which of the following BEST describes the relation between x and y?

Item 55 refers to the following diagram which shows rectangle WXYZ and its image W'X'Y'Z' and W"X"Y"Z" after it undergoes a composite/double transformation.

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 scale factor of $\frac{1}{2}$

A reflection in the y-axis, followed by an enlargement, centred at the origin with scale factor of $\frac{1}{2}$

A counterclockwise rotation of 90° about the origin, followed by an enlargement, centred at the origin with scale factor of $\frac{1}{2}$

An enlargement, centred at the origin with scale factor of $\frac{1}{2}$ , followed by a counterclockwise rotation of 90° about the origin

In each of the following diagrams, A' is the image of A. Which of the diagrams shows a reflection in the x-axis?

In triangle ABC, angle A = x° and angle B = 2x°. What is the size of angle C?

The angle of depression of the point X from Z is 35°. If X is 12 metres from Y, then the height YZ, in metres, is

$\{2, 3, 4, 5, 6, 7\}$

$\begin{pmatrix} 5 \\ 10 \end{pmatrix}$

$\begin{pmatrix} -1 \\ -10 \end{pmatrix}$

$\mathbf{b} - \mathbf{a}$

$\mathbf{a} + \mathbf{b}$

$2(\mathbf{a} + \mathbf{b})$

$2(\mathbf{b} - \mathbf{a})$

$\{(0, 3), (1, 5), (2, 7), (3, 9)\}$

$\{(0, 3), (1, 4), (2, 7), (3, 12)\}$

CSEC Mathematics Paper 1 January 2021 - Free CXC Past Paper with Answers

CSEC Mathematics Paper 1 January 2021 Questions