41.
Simplify \(\frac{0.0839 \times 6.381}{5.44}\) to 2 significant figures.
- A. 0.2809
- B. 2.51
- C. 3.5
- D. 0.098
42. Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30
- A. x = 3 or 7, y = 12 or 8
- B. x = 6 or 1, y = 11 or 5
- C. x = 2 or 5, y = 15 or 6
- D. x = 1 or 5, y = 10 or 7
43. Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.
- A. 24°
- B. 56°
- C. 127°
- D. 156°
- A. \(T = \frac{15R – Q}{P^3}\)
- B. \(T = R – \frac{15P^3}{Q}\)
- C. \(T = \frac{R – 15P^3}{Q}\)
- D. \(T = \frac{R + P^3}{15Q}\)
45.
In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.
- A. 26°
- B. 13°
- C. 80°
- D. 102°
46. Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.
- A. 1080°
- B. 1260°
- C. 2160°
- D. 1800°
47. A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?
- A. 43.7% loss
- B. 13.2% gain
- C. 13.2% loss
- D. 43.7% gain
48. If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).
- A. \(\frac{\pi h}{3} (2R + r)\)
- B. \(2R + r + \frac{\pi h}{3}\)
- C. \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
- D. \(\frac{2R^2}{3} \pi h\)
49. Express \((0.0439 \div 3.62)\) as a fraction.
- A.\(\frac{21}{100}\)
- B.\(\frac{21}{1000}\)
- C.\(\frac{12}{1000}\)
- D.\(\frac{12}{100}\)
50. If \(25^{1 – x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.
- A. x = -4
- B. x = 2
- C. x = -2
- D. x = 4