GCE Mathematics 2020
Past Questions

11+ verified 2020 GCE Mathematics practice questions with Worked answers.

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2020 GCE Mathematics questions

Q1Number and Numeration

Find the number of significant figures in the value 0.003040.

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Q2Number and Numeration

Evaluate: $\log_{10} 8 + \log_{10} 125$

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Q3Number and Numeration

A sum of money is shared among Ade, Bola, and Chidi in the ratio 3:5:7. If Bola receives ₦15,000 more than Ade, how much does Chidi receive?

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Q4Indices, Logarithms and Surds

Evaluate $3^{-2} \times 27^{\frac{2}{3}}$

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Q5Indices, Logarithms and Surds

Solve for $x$: $4^x = 8^{x-1}$

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Q6Algebraic Processes

The sum of two numbers is 15 and their product is 54. Find the two numbers.

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Q7Mensuration

A sector of a circle has an angle of 72° at the centre and a radius of 10 cm. Find the area of the sector. [Take π = 3.14]

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Q8Probability

A committee of 3 is to be chosen from 5 men and 4 women. If the selection is made at random, what is the probability that the committee consists of 2 men and 1 woman?

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Q9Probability

Events A and B are such that $P(A) = \frac{1}{3}$, $P(B) = \frac{1}{2}$ and $P(A \cup B) = \frac{2}{3}$. Find $P(A \cap B)$.

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Q10Indices, Logarithms and Surds

(a) Evaluate without using tables or calculator: log(base 10)(0.0625) + log(base 10)(160), giving your answer as a whole number. [4 marks] (b) (i) Show that (2^n * 9^(n+1)) / (6^(2n) * 3^(1-n)) simpli…

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Q11Mensuration

The diagram shows a composite figure made up of a hemisphere mounted on top of a solid cube. The cube has a side length of 14 cm. The hemisphere has a diameter equal to the side of the cube. (a) Calcu…

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