BECE Mathematics 2024 Theory — Question 2
Question 2 of 2 from the Basic Education Certificate Examination (Junior WAEC) (BECE) Mathematics 2024 Theory paper, with the correct answer and a full explanation.
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(a) Evaluate 11011₂ + 1111₂. (b) Solve the equation (2x - 1)/(3 - 4x) = 2/5. (c) Find the rate per annum if ₦36,000.00 is paid as simple interest on ₦120,000.00 deposited in a bank for 3 years.
Model answer
(a) 11011₂ = 27 and 1111₂ = 15, so the sum is 42. 42 = 32 + 8 + 2 = 101010₂. (b) 5(2x - 1) = 2(3 - 4x) 10x - 5 = 6 - 8x 18x = 11 x = 11/18 (c) I = PRT/100 36,000 = (120,000 x R x 3)/100 36,000 = 3,600R R = 10% per annum
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