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BECE Mathematics 2023 Theory — Question 1

Question 1 of 2 from the Basic Education Certificate Examination (Junior WAEC) (BECE) Mathematics 2023 Theory paper, with the correct answer and a full explanation.

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(a) Simplify 1 1/2 × (2/3 − 1/4) ÷ 2 1/2. (b) A piece of wood is 220cm long. If 66 cm is cut away from the wood, what percentage of it remains?

Model answer

(a) 2/3 − 1/4 = 8/12 − 3/12 = 5/12. 1 1/2 × 5/12 = 3/2 × 5/12 = 5/8. 5/8 ÷ 2 1/2 = 5/8 ÷ 5/2 = 5/8 × 2/5 = 1/4. (b) Remaining length = 220 − 66 = 154cm. Percentage remaining = 154/220 × 100 = 70%.

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