GCE Mathematics 2022
Past Questions

Express 0.000407 in standard form.

Simplify $\frac{\sqrt{3}}{\sqrt{3} - 1}$, rationalising the denominator.

If $\log_{10} 2 = 0.3010$ and $\log_{10} 3 = 0.4771$, find $\log_{10} 72$.

If one root of the equation x² + px + 12 = 0 is 4, find the value of p.

If $x$ is an integer, find the greatest value of $x$ which satisfies $5 - 3x \geq x - 11$.

The solution set of $2x + 3 \leq 7$ and $x - 1 > -3$ is

The area of a rectangle is 120 cm². If its length is 15 cm, find its perimeter.

The volume of a cone is 1232 cm³ and its base radius is 14 cm. Find the height of the cone. [Take π = 22/7]

The table below shows the distribution of marks scored by students in a class test. If the median mark is 4, find the value of x. Mark: 2, 3, 4, 5, 6 Frequency: 3, x, 5, 4, 2

The probability that Emeka passes a Mathematics test is 2/3 and the probability that he passes an English test is 3/5. What is the probability that he passes both tests?

In a survey of 100 households in Abuja, 60 own a television, 45 own a radio, and 20 own neither. How many households own both a television and a radio?

Find the equation of the circle with centre (−2, 3) and radius 5.

a) Express 0.000426 in standard form. b) Without using mathematical tables or calculator, evaluate: (i) log₁₀ 0.001 (ii) log₂ 64 c) Given that log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, find the v…

(a) P varies directly as the square of Q and inversely as R. When P = 36, Q = 6 and R = 4. (i) Find the relationship between P, Q and R. (ii) Find the value of P when Q = 10 and R = 25. (…

(a) Given that -3 ≤ x ≤ 5 and -1 ≤ y ≤ 4, find the range of values of: (i) x + y (ii) x - y (iii) xy (b) Solve the following inequalities and represent each solution on a number line: …

A solid cylinder has a base radius of 7 cm and a height of 20 cm. (a) Calculate the total surface area of the cylinder. (b) Calculate the volume of the cylinder. (c) A cone is carved out from the top …