31. If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.
- A. 12
- B. 8
- C. 9
- D. 16
32. Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.
- A. 43.6% loss
- B. 35% profit
- C. 63.2% profit
- D. 28% loss
33. The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.
- A. 19%
- B. 20%
- C. 25%
- D. 16.3%
34. Simplify 81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)
- A.\(\frac{2}{5}\)
- B.\(\frac{3}{5}\)
- C.\(\frac{5}{2}\)
- D.\(\frac{5}{3}\)
35. Find the value of \(\frac{(0.5436)^3}{0.017 \times 0.219}\) to 3 significant figures.
- A. 46.2
- B. 43.1
- C. 534
- D. 431
36. If S = (4t + 3)(t – 2), find ds/dt when t = 5 secs.
- A. 50 units per sec
- B. 35 units per sec
- C. 22 units per sec
- D. 13 units per sec
37. The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is
- A. 31°
- B. 30°
- C. 26°
- D. 48°
38. The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?
- A. 15.5%
- B. 18.2%
- C. 14.8%
- D. 16.7%
39. Evaluate \((\frac{6}{0.32} \div \frac{2}{0.084})^{-1}\) correct to 1 decimal place.
- A. 1.3
- B. 2.5
- C. 4.6
- D. 3.2
40. If 2\(^{x + y}\) = 16 and 4\(^{x – y} = \frac{1}{32}\), find the values of x and y.
- A. x = \(\frac{3}{4}\), y = \(\frac{11}{4}\)
- B. x = \(\frac{3}{4}\), y = \(\frac{13}{4}\)
- C. x = \(\frac{2}{3}\), y = \(\frac{4}{5}\)
- D. x = \(\frac{2}{3}\), y = \(\frac{13}{4}\)
