GCE Mathematics 2024
Past Questions

Convert $11011_2$ to base 10.

Simplify: 3x + 2y - x + 5y

Simplify: $\frac{x^2 - 9}{x^2 - x - 6}$

Which of the following is a root of the quadratic equation x² - 5x + 6 = 0?

Find the values of k for which the equation x² - 6x + k = 0 has equal roots.

If p varies inversely as the square of q, and p = 4 when q = 3, find p when q = 6.

A rectangular room measures 8 m by 6 m. It is to be tiled with square tiles of side 40 cm. How many tiles are needed to cover the floor completely?

Find the value of tan 45° + sin 30°.

A ladder of length 10 m leans against a vertical wall. If the ladder makes an angle of 60° with the horizontal ground, how high up the wall does the ladder reach?

The numbers 3, 7, x, 11 and 9 have a mean of 8. What is the value of x?

Two fair dice are thrown together. What is the probability that the sum of the scores is at least 10?

The midpoint of a line segment PQ is M(3, −1). If P has coordinates (7, 4), find the coordinates of Q.

In the figure, PQR is a triangle. S is a point on QR such that PS is perpendicular to QR. T is the midpoint of PR. Given that angle QPR = 90°, PQ = 8 cm, PR = 6 cm and QR = 10 cm. (a) Calculate the l…

The table below shows the scores of 40 students in a Mathematics test. Scores: 10-19 20-29 30-39 40-49 50-59 60-69 70-79 Frequency: 3 5 7 10 8 5 2 (a) Calcul…