BECE Mathematics Past Questions 2024

(a) Simplify: 3√50 + 2√45 − √2 + √5 (b) A wire of length 38 cm is bent into the shape of a rectangle whose length is 7 cm more than the width. Find the area of the rectangle. (c) If 15% of the length of a rope is 720 metres, find half of the length of the rope.

A rectangle has length 12 cm and width 8 cm. Find the area of the rectangle.

Find the HCF of 36 and 60.

Find the LCM of 12, 18 and 24.

A student scored 48 out of 60 in a test. What percentage did the student score?

Simplify: 3/4 + 5/6 − 1/3

A trader bought an article for GH₵240.00 and sold it for GH₵300.00. What is the percentage profit?

Convert 110101₂ to base ten.

Simplify: 2³ × 2⁴ ÷ 2⁵

Expand and simplify: (2x + 3)(x − 4)

Solve: 3(2x − 1) = 2(x + 5)

Divide GH₵360.00 in the ratio 3 : 5.

Evaluate: 0.24 × 0.05

Factorise completely: 6x² − 9xy

Find the nth term of the sequence: 5, 9, 13, 17, ...

Write 45,306 in words.

Add 101₂ + 110₂. Give your answer in base 2.

In triangle ABC, AB = AC and angle BAC = 40°. Find angle ABC.

The sum of interior angles of a polygon is 1080°. How many sides does the polygon have?

(a) Given the vectors p = (m+3, 2−n) and q = (3m−1, n−8) and p = q, find the values of m and n. (b) A man shared money between his children Baaba and William in the ratio 6:5. Baaba received GH₵1,200.00. (i) Find the total amount shared. (ii) William invested his share at 20% simple interest per annum for 2 years. Find the total amount in his account at the end of 2 years.

Solve the inequality: 2x − 5 > 3

The scores of 7 students in a test are: 8, 12, 9, 15, 11, 7, 13. Find the median.

The ages of five students are: 13, 15, 14, 16, 12. Find the mean age.

[Diagram: Right-angled triangle with sides labeled] Find the angle of depression from the top of a 12 m tower to a point 12 m away on the ground.

Find the circumference of a circle with radius 7 cm. [Take π = 22/7]

If a = (3, 4) and b = (−1, 2), find a + b.

In a right-angled triangle, the two shorter sides are 9 cm and 12 cm. Find the hypotenuse.

A point P(3, −2) is reflected in the x-axis. What are the new coordinates of P?

Find the volume of a cylinder with radius 3.5 cm and height 10 cm. [Take π = 22/7]

(a) A fair die and a fair coin are thrown together once. (i) Write down the set of all possible outcomes. (ii) Find the probability of obtaining a prime number and a tail. (b) The map of a field is drawn to a scale of 1:100. If the width and area of the field on the map are 8 cm and 88 cm² respectively, find, in m², the area of the actual field. (c) Copy and complete the 3×3 magic square such that the sum of the numbers in each row, column and diagonal equals 21. 10 3 [?] [?] [?] [?] 7 [?] [?]

A car travels at 80 km/h for 2.5 hours and then at 60 km/h for 1.5 hours. Find the total distance travelled.

A bag contains 4 red balls, 3 blue balls, and 5 green balls. If a ball is selected at random, what is the probability that it is blue?

A fair die is thrown once. What is the probability of getting a prime number?

In a class of 40 students, 15 study French, 20 study Spanish, and 5 study both. How many students study neither?

On a scale drawing, 1 cm represents 50 m. What is the actual distance represented by 6.4 cm?

The area of a trapezium is 54 cm². If the parallel sides are 8 cm and 10 cm, find the perpendicular height.