Mathematics Past Questions And Answers
If a number is selected at random from each of the sets p = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime
- A. \(\frac{5}{9}\)
- B. 1\(\frac{4}{9}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{2}{9}\)
Solve for x: 3(x – 1) ≤ 2 (x – 3)
- A. x ≤ -3
- B. x ≥ -3
- C. x ≤ 3
- D. x ≥ 3
Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
- A. m \(\leq \frac{5}{4}\)
- B. m \(\geq \frac{5}{4}\)
- C. m \(\leq - \frac{1}{11}\)
- D. m \(\geq - \frac{1}{11}\)
Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12
- A. 3
- B. 4
- C. 1
- D. 2
Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form
- A. \(29\sqrt{5}\)
- B. \(14\sqrt{15}\)
- C. \(12\sqrt{15}\)
- D. \(11\sqrt{5}\)
The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer
- A. ₦ 35, 000
- B. ₦ 40,000
- C. ₦ 25,000
- D. ₦ 20,000
A trader had 19 lanterns in her store, sold 13 and bought 6 more. How many lanterns does she left in her store?
- a) 6
- b) 9
- c) 12
- d) 4
Ada draws the graph of y = x2 - x - 2 and y = 2x - 1 on the same axes. Which of these equations is she solving?
- A. x2 - x - 3 = 0
- B. x2 - 3x - 1 = 0
- C. x2 - 3x - 3 = 0
- D. x2 + 3x - 1 = 0
Find the coefficient of the \(6^{th}term\) in the binomial expansion of \((1 - \frac{2x}{3})10\) in ascending powers of \(x\).
- A. \(-\frac{896x^6}{9}\)
- B. \(-\frac{896x^5}{9}\)
- C. \(-\frac{896x^5}{27}\)
- D. \(-\frac{896x^6}{27}\)
(a) The third term of a Geometric Progression (G.P) is 24 and its seventh term is \(4\frac{20}{27}\). Find its first term.
(b) Given that y varies directly as x and inversely as the square of z. If y = 4, when x = 3 and z = 1, find y when x = 3 and z = 2.
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