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Friday, 03 April 2026
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Mathematics Past Questions and Answers

Waec Mathematics Questions

Question 526:
The table below shows how a company's sales manager spent his 1995 annual salary.
Food 30%
Rent 18%
Car Maintenance 25%
Savings 12%
Taxes 5%
Others 10%



(a) Represent this information on a pie chart.
(b) Find his savings at the end of the year if his annual salary was N60,000.00.
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    Question 527:
    (a) Given that \(\frac{5y - x}{8y + 3x} = \frac{1}{5}\), find the value of \(\frac{x}{y}\) to two decimal places.
    (b) If 3 is a root of the quadratic equation \(x^{2} + bx - 15 = 0\), determine the value of b. Find the other root.
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      Question 528:
      (a) Use logarithm tables to evaluate \(\frac{15.05 \times \sqrt{0.00695}}{6.95 \times 10^{2}}\).
      (b) The first 5 students to arrive in a school on a Monday morning were 2 boys and 3 girls. Of these, two were chosen at random for an assignment. Find the probability that :
      (i) both were boys ; (ii) the two were of different sexes.
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        Question 529:
        (a) Using a ruler and a pair of compasses only, construst \(\Delta\) ABC in which |AB| = 7cm, |BC| = 5cm and < ABC = 75°. Measure |AC|.
        (b) In (a) above, locate by construction, a point D such that CD is parallel to AB and D is equidistant from points A and C. Measure < BAD.
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          Question 530:
          (a) Solve the simultaneous equation : \(\log_{10} x + \log_{10} y = 4\)
          \(\log_{10} x + 2\log_{10} y = 3\)
          (b) The time, t, taken to buy fuel at a petrol station varies directly as the number of vehicles V on queue and jointly varies inversely as the number of pumps P available in the station. In a station with 5 pumps, it took 10 minutes to fuel 20 vehicles. Find :
          (i) the relationship between t, P and V ; (ii) the time it will take to fuel 50 vehicles in the station with 2 pumps ; (iii) the number of pumps required to fuel 40 vehicles in 20 minutes.
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