Mathematics 2025 Theory — Question 1
Q1(a)(i). Given that x varies inversely as y and x = 1/5 when y = 35, express x in terms of y.
Model answer
x = 7/y x = k/y; 1/5 = k/35 → k = 7. So x = 7/y.
All 7 questions from the Basic Education Certificate Examination (Junior WAEC) (BECE) Mathematics 2025 Theory paper, with the correct answer and a full explanation for each. Free, no signup needed.
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Q1(a)(i). Given that x varies inversely as y and x = 1/5 when y = 35, express x in terms of y.
Model answer
x = 7/y x = k/y; 1/5 = k/35 → k = 7. So x = 7/y.
Q1(a)(ii). Find y when x = 14.
Model answer
y = 0.5 (1/2) 14 = 7/y → y = 7/14 = 1/2.
Q1(b). A food canteen used an average of 30,000 litres of water per week. Find the average number of litres per hour. Correct your answer to 3 significant figures.
Model answer
179 litres per hour 1 week = 7 × 24 = 168 hours; 30,000 ÷ 168 = 178.57… ≈ 179 (3 s.f.).
Q2(a). (Table 3.1) How many students took part in the test?
Model answer
20 Sum of frequencies: 3+4+3+6+2+2 = 20.
Q2(b). Calculate the mean score.
Model answer
14.2 Σfx = 30+48+42+90+34+40 = 284; 284 ÷ 20 = 14.2.
Q2(c). What percentage of the students scored 15 marks and above?
Model answer
50% Scores ≥ 15: 6+2+2 = 10 students; 10/20 × 100 = 50%.
Q2(d). Find the probability that a student chosen at random scored 12 marks.
Model answer
1/5 4 students scored 12; 4/20 = 1/5.
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