Mathematics 2024 - BECE

Maths Paper 1

Question 1

Write 0.01723 in standard form.

Question 2

What is the value of 3x² + 2x - 7 when x = -3?

Question 3

Find the image of the point S(-2, 2) when it is reflected in the y-axis.

Question 4

What is the actual bearing of S25°E?

Question 5

Given that m = b² - t, make t the subject.

Question 6

Expand (x - 2)(x + 4).

Question 7

If n(E) = 15, n(F) = 20 and n(E∩F) = 6, find n(E∪F).

Question 8

Tony shared ²/₃ of his plot of land equally among his three sons. What fraction of the plot did each get?

Question 9

Araba and Ama share 20 oranges in such a way that Ama receives 12 oranges. Find the ratio of Araba's share to that of Ama.

Question 10

Solve: 3(x - 2) - x³ + 6 > 0.

Question 11

The stem and leaf plot shows the marks scored by students in a French test. Stem | Leaf: 2 | 0 2 5 7 8; 3 | 2 7 9; 4 | 3 5 5 5; 5 | 4 6 6 8; 6 | 3 5 7; 7 | 0 6 What is the modal mark?

Question 12

The stem and leaf plot shows the marks scored by students in a French test. Stem | Leaf: 2 | 0 2 5 7 8; 3 | 2 7 9; 4 | 3 5 5 5; 5 | 4 6 6 8; 6 | 3 5 7; 7 | 0 6 How many students took the test?

Question 13

The stem and leaf plot shows the marks scored by students in a French test. Stem | Leaf: 2 | 0 2 5 7 8; 3 | 2 7 9; 4 | 3 5 5 5; 5 | 4 6 6 8; 6 | 3 5 7; 7 | 0 6 Find the median mark.

Question 14

Which of the following is an even prime number?

Question 15

If 2n - 5 = 12n, find the value of n.

Question 16

Find the simple interest on GH₵350.00 for 4 years at 5% per annum.

Question 17

A straight line passes through the points P(-5, -3) and Q(-4, -7). Find the gradient of the line PQ.

Question 18

Given that 1 kilometre = ⁵/₈ mile, what is 240 miles in kilometres?

Question 19

John walks for 22½ minutes and runs 7½ minutes to school. What percentage of the total time does he spend walking?

Question 20

Kobby is 5 years older than his brother. If Kobby is 13 years old, how old is his brother?

Question 21

Find the rule for the mapping: x: 1 2 3 4 5; y: 4 2 0 -2 -4

Question 22

Arrange the following numbers in ascending order: 9.5, 1.88, 15.8

Question 23

Simplify: (x - 1)² - 1.

Question 24

A bag contains 20 oranges of which 6 are bad. Find the probability of picking a good orange from the bag

Question 25

In the diagram, AB ∥ CD, ∠AGE = 80°, ∠CFG = 5k and ∠CFE = r. Diagram will be provided. What is the value of r?

Question 26

In the diagram, AB ∥ CD, ∠AGE = 80°, ∠CFG = 5k and ∠CFE = r. Diagram will be provided. Find the value of k

Question 27

Simplify: (11/2 - 5/6) × 9/10.

Question 28

Factorize: 2pq + 6p - 6q - 18.

Question 29

The diagram is a square of side 2 cm in which is inscribed a circle with center O. Diagram will be provided. Find the area of the shaded portion. [Take π = 22/7]

Question 30

The diagram is a square of side 2 cm in which is inscribed a circle with center O. Diagram will be provided. Find the area of the circle. [Take π = 22/7]

Question 31

A man can take 12 hours to do a piece of work. How long will it take 6 men working at the same rate to do the work?

Question 32

Convert 12.03 metres to centimetres.

Question 33

A quadrilateral with one pair of opposite sides parallel is called

Question 34

A book was sold for GH₵48.00 at a profit of 20%. Find the cost price.

Question 35

Find the vector which translates the point (2, 6) to (5, 4).

Question 36

Cement and sand were mixed in the ratio 2:5. How many kilograms of cement was contained in the 35 kg of the mixture?

Question 37

Which of the following is not an integer?

Question 38

Simplify: 5⁷ × 5⁻⁴ ÷ 5³.

Question 39

The height of a cylinder is 5 cm and the radius 7 cm. Find the volume of the cylinder. [Take π = 22/7]

Question 40

If q = \(\begin{pmatrix}-2\\3\end{pmatrix}\) and r = \(\begin{pmatrix}3\\-2\end{pmatrix}\), find q - r.