CSEC Mathematics Paper 1 January 2023 - Free CXC Past Paper with Answers

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

What percentage of 50 is 10?

In standard notation, 0.02086 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?

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

If $4.3 \times 0.37 = 1.591$ , then $43 \times 0.37$ is

Which of the following sets is defined by $\{x \in \mathbb{Z} : -2 \le x \le 4\}$ ?

$\{-1, 0, 1, 2, 3\}$

$\{-2, -1, 0, 1, 2, 3, 4\}$

Item 8 refers to the following Venn diagram which shows 2 intersecting sets, P and Q. In the Venn diagram, $n(P) = 5$ , $n(Q) = 9$ and $n(P \cup Q) = 10$ . U P Q

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

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}

All students in a class play Scrabble or Checkers or both. If 36% of the students play Scrabble only and 16% of the students play both Scrabble and Checkers, what percentage of students play Checkers but NOT Scrabble?

Item 11 refers to the following Venn diagram which shows 2 intersecting sets. The number of students in each set is indicated.

In the Venn diagram U= {students who play games} H = {students who play hockey} V= {students who play volleyball}. How many students play EITHER hockey OR volleyball but not both?

The set of two-digit positive integers that are divisible by 7 is an example of

For every $100 sales or 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?

The simple interest on $600 for $t$ years at 5% per annum is $120. The value of $t$ is

$\frac{600 \times 5}{100 \times 120}$

$\frac{100 \times 120}{600 \times 5}$

$\frac{100 \times 5 \times 120}{600}$

$\frac{600 \times 120 \times 5}{100}$

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?

A man pays 60 cents for every 200 m³ of gas used, plus a fixed charge. If he pays $178.75 when he uses 55 000 m³ of gas, how much is the fixed charge?

A plot of land presently valued at $12 000 appreciates in value at the rate of 2.5% per annum. What will be the value of the plot of land one year later?

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

An article bought for $125 was sold for $175. The profit as a percentage of the cost price was

The product of a number, $\frac{2p}{3}$ and its reciprocal may be written as

$\frac{2p}{3} \times \frac{3}{p}$

$\frac{2p}{3} \times -\frac{3p}{2}$

$\frac{2p}{3} \times \frac{3}{2p}$

$\frac{2p}{3} \times -\frac{3}{2p}$

Item 22 refers to the following diagram of a rectangle.

The area of the rectangle, in cm², is $x^2$ . 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 $3 + \frac{x}{2} = 1$ , the value of $x$ is

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

If $a*b = a^2 + b^2$ , then the value of $(3*4)*2$ 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 p and q are $\begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $\begin{pmatrix} -1 \\ 4 \end{pmatrix}$ respectively, then $-p - 2q$ is

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

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

Item 30 refers to the following diagram of triangle OLM, in which R is the midpoint of OL. Further, $\vec{OR} = 3a - 2b$ and $\vec{OM} = 2a + 3b$ .

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

Item 31 refers to the following diagram which shows a cylinder with diameter 6 cm and height 20 cm.

The volume of the cylinder, in cm³, and in terms of $\pi$ , is

Item 32 refers to the following diagram which shows a circle, centred at O, and with a sector and the major and minor arcs indicated.

If the area of the minor sector, EOF, is 103 cm², then the area of the circle, in cm², is

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

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 perimeter as a rectangle with length 15 centimetres and width 11 centimetres. What is the area of the square, in cm²?

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

The distance around a lake is 8 km. On a map, this distance around the lake is represented by a length of 2 cm. The scale on the map is

Items 39 and 40 refer to the following table which shows the number of books that 58 students bought at a sale. No. of Books Bought 3 4 5 6 7 8 No. of Students 9 9 13 11 9 7

The mode of the number of books bought is

The median number of books the students bought at the sale is

Item 41 refers to the following pie chart which shows the popular games played by a group of students. Basketball 30% Cricket 35% 36° Tennis Football

If 180 students played football, how many students are in the group?

How many customers bought at LEAST 6 kg of fish?

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?

The point where a linear function crosses the horizontal axis is

The relationship that BEST describes the mapping in the diagram is

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

The maximum point of $y = 4x - x^2$ is

The values of $x$ at the points where $y = 4x - x^2$ intersects $y = 0$ are

Which of the following equations represents a straight line?

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

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

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

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

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

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

$\left[\frac{180}{3x}\right]°$

Item 58 refers to the following diagram which shows the angle of depression of a point, X, from Z.

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

Item 59 refers to the following diagram of a right-angled triangle, ABC.

In the right-angled triangle above, which trigonometric ratio is equal to $\frac{4}{8}$ ?

Under the translation $\begin{pmatrix} -2 \\ 3 \end{pmatrix}$ , the image of $(-5, 3)$ is

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

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

$x = 0$ and $x = -4$

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

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

CSEC Mathematics Paper 1 January 2023 - Free CXC Past Paper with Answers

CSEC Mathematics Paper 1 January 2023 Questions