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 1: If a = 2, b = -2 and c = -$\frac{1}{2}$, evaluate (ab² - bc²)(a²c - abc) Options:
  A) 2
  B) -28
  C) -30
  D) -34
  Show Answer
  The correct answer is D .
• Question 2: Find the exterior angle of a 12 sided regular polygon Options:
  A) 12${}^{\circ }$
  B) 24${}^{\circ }$
  C) 25${}^{\circ }$
  D) 30${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 3: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 4: If x = $\left(\begin{array}{cc}1& 2\\ 0& 3\end{array}\right)$ and y = $\left(\begin{array}{cc}2& 1\\ 4& 3\end{array}\right)$. Find xy. Options:
  A) $\left(\begin{array}{cc}10& 7\\ 12& 9\end{array}\right)$
  B) $\left(\begin{array}{cc}2& 7\\ 4& 17\end{array}\right)$
  C) $\left(\begin{array}{cc}10& 4\\ 4& 6\end{array}\right)$
  D) $\left(\begin{array}{cc}4& 3\\ 10& 9\end{array}\right)$
  Show Answer
  The correct answer is A .
• Question 5: If $\theta$ = $\frac{3}{2}$ and $\theta$ is less than 90${}^{\circ }$, calculate tan $\frac{(90-\theta )}{co{s}^2\theta }$ Options:
  A) $\frac{1}{2}$
  B) $\frac{4}{\sqrt{3}}$
  C) $\sqrt{3}$
  D) 4$\sqrt{3}$
  Show Answer
  The correct answer is B .
• Question 6:

  $\begin{array}{cccc}\text{Class Interval}& Frequency& \text{Class boundaries}& \text{Class Mid-point}\\ 1.5-1.9& 2& 1.45-1.95& 1.7\\ 2.0-2.4& 21& 1.95-2.45& 2.2\\ 2.5-2.9& 4& 2.45-2.95& 2.7\\ 3.0-2.9& 15& 2.95-3.45& 3.2\\ 3.5-3.9& 10& 3.45-3.95& 3.7\\ 4.0-4.4& 5& 3.95-4.45& 4.2\\ 4.5-4.9& 3& 4.45-4.95& 4.7\end{array}$

  Find the mode of the distribution above to find the mode of the distribution.

  Options:
  A) 3.2
  B) 3.3
  C) 3.7
  D) 4.2
  Show Answer
  The correct answer is B .
• Question 7: Evaluate ${\int }_1^2$(6x² - 2x)dx Options:
  A) 16
  B) 13
  C) 12
  D) 11
  Show Answer
  The correct answer is D .
• Question 8: Multiply x² + x + 1 by x² - x + 1 Options:
  A) x⁴ - x + x²
  B) x⁴ - x² + x²
  C) x⁴ + x² + 1
  D) x⁴ + x²
  Show Answer
  The correct answer is C .
• Question 9: Two triangles have the same areas if Options:
  A) two sides in one triangle are equal to two sides in the other
  B) three sides in one triangle are equal to three sides in the other
  C) two angles in the triangle are equal to two angles in the other
  D) three angles in one triangle are equal to three angles in the other
  E) one side and the opposite angle in one triangle are equal to one side and the opposite angle in the other
  Show Answer
  The correct answer is D .
• Question 10: When a dealer sells a bicycle for ₦81 he makes a profit of 8%. What did he pay for the bicycle? Options:
  A) ₦73
  B) ₦74.52
  C) ₦75
  D) ₦75.52
  E) ₦87.48
  Show Answer
  The correct answer is C .