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: Determine x + y if $\left(\begin{array}{cc}2& -3\\ -1& 4\end{array}\right)$ $\left(\begin{array}{c}x\\ y\end{array}\right)$ = $\left(\begin{array}{c}-1\\ 8\end{array}\right)$ Options:
  A) 3
  B) 4
  C) 7
  D) 12
  Show Answer
  The correct answer is C .
• Question 32:

  The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

  Options:
  A) 24 m
  B) 32√3 m
  C) 24√3
  D) 32 m
  Show Answer
  The correct answer is D .
• Question 33: 3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share Options:
  A) 36
  B) 24
  C) 16
  D) 38
  Show Answer
  The correct answer is C .
• Question 34: Solve the inequality -6(x + 3) $\le$ 4(x - 2) Options:
  A) x $\le$ 2
  B) x $\ge$ -1
  C) x $\ge$ -2
  D) x $\le$ -1
  Show Answer
  The correct answer is B .
• Question 35: Express $\frac{5x-12}{(x-2)(x-3)}$ in partial fractions Options:
  A) $\frac{2}{x-2}-\frac{3}{x-3}$
  B) $\frac{2}{x-2}+\frac{3}{x-3}$
  C) $\frac{2}{x-2}-\frac{3}{x-2}$
  D) $\frac{5}{x-3}-\frac{4}{x-2}$
  Show Answer
  The correct answer is B .
• Question 36: Solve the inequality (x - 3)(x - 4) $\le$ 0
  Options:
  A) 3 $\le$ x $\le$ 4
  B) 3 < x < 4
  C) 3 $\le$ x < 4
  D) 3 < x $\le$ 4
  Show Answer
  The correct answer is A .
• Question 37: Simplify $\frac{4a^2-49b^2}{2a^2-5ab-7b^2}$ Options:
  A) $\frac{a-b}{2a+b}$
  B) $\frac{2a+7b}{a-b}$
  C) $\frac{2a-7b}{a+b}$
  D) $\frac{2a-7b}{a-b}$
  Show Answer
  The correct answer is D .
• Question 38:
  

  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 39: The value of x + x ( x^x) when x = 2 is Options:
  A) 16
  B) 10
  C) 18
  D) 24
  Show Answer
  The correct answer is B .
• Question 40: Simplify $\frac{1}{\sqrt{3}+2}$ in the form $a+b\sqrt{3}$ Options:
  A) 2 -√3
  B) -2 - √3
  C) 2 + √3
  D) -2 + √3
  Show Answer
  The correct answer is A .