Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.

• Question 31:
  

  Find the volume of the cylinder above
  [Take $\pi {=}^{22}{/}_7$]

  Options:
  A) 9,856 cm${}^3$
  B) 14,784 cm${}^3$
  C) 4,928 cm${}^3$
  D) 19,712 cm${}^3$
  Show Answer
  The correct answer is B .
• Question 32:

  $\begin{array}{cccc}\text{Age in years}& 10& 11& 12\\ \text{No. of pupils}& 6& 27& 7\end{array}$

  The table above shows the number of pupil in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

  Options:
  A) $\frac{27}{40}$
  B) $\frac{3}{30}$
  C) $\frac{17}{20}$
  D) $\frac{33}{40}$
  Show Answer
  The correct answer is C .
• Question 33: Evaluate $\underset{0}{\overset{\frac{\pi }{2}}{\int }}$ sin xdx Options:
  A) 2
  B) -1
  C) 1
  D) -2
  Show Answer
  The correct answer is C .
• Question 34: A bowl is designed by revolving completely the area enclosed by y = x² - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl? Options:
  A) 7π cubic units
  B) 15π/2 cubic units
  C) 8π cubic units
  D) 17π/2 cubic units
  Show Answer
  The correct answer is B .
• Question 35: A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father? Options:
  A) 20 and 45
  B) 100 and 150
  C) 45 and 65
  D) 35 and 75
  E) 20 and 60
  Show Answer
  The correct answer is E .
• Question 36:

  

  The figure FGHK is a rhombus. What is the value of angle X?

  Options:
  A) 30${}^{\circ }$
  B) 90${}^{\circ }$
  C) 150${}^{\circ }$
  D) 120${}^{\circ }$
  E) 60${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 37: Solve for the equation $\sqrt{x}$ - $\sqrt{(x-2)}$ - 1 = 0 Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{4}{9}$
  D) $\frac{9}{4}$
  Show Answer
  The correct answer is D .
• Question 38: If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled? Options:
  A) 4:1 increase
  B) 2:1 increase
  C) 1:1 no change
  D) 1:4 decrease
  E) 3:4 decrease
  Show Answer
  The correct answer is B .
• Question 39: Solve the simultaneous equations for x in x² + y - 8 = 0, y + 5x - 2 = 0 Options:
  A) -28, 7
  B) 6, -28
  C) 6, -1
  D) -1, 7
  E) 3, 2
  Show Answer
  The correct answer is C .
• Question 40: Simplify $\frac{2\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}$ Options:
  A) 3$\sqrt{6}-7$
  B) 3$\sqrt{6}-7$
  C) 3$\sqrt{6}-1$
  D) 3$\sqrt{6}+1$
  Show Answer
  The correct answer is A .