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 2021: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 2022: A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius $\frac{1}{2}$cm is immersed in the water, then the rise of water is Options:
  A) 1cm
  B) $\sqrt{\frac{3\pi }{24}}$
  C) $\frac{\pi }{24\sqrt{3}}$
  D) 24$\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 2023: Evaluate 5^-3log₅2 x 2^2log₂3 Options:
  A) 8
  B) 1¹/₈
  C) ²/₅
  D) ¹/₈
  Show Answer
  The correct answer is B .
• Question 2024: Find the value of x if $[1÷{64}^{(x+2)}]=[4^{(x-3)}÷{16}^x]$ Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $-\frac{3}{2}$
  Show Answer
  The correct answer is D .
• Question 2025: The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y. Options:
  A) (12, 6)
  B) (23, 17)
  C) (17, 11)
  D) (18, 12)
  Show Answer
  The correct answer is C .
• Question 2026:

  factorize m${}^3$ - m${}^2$ + 2m - 2

  Options:
  A) (m² + 1)(m - 2)
  B) (m - 1)(m + 1)(m + 2)
  C) (m - 2)(m + 1)(m - 1)
  D) (m² + 2)(m - 1)
  Show Answer
  The correct answer is D .
• Question 2027:

  

  The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks?

  Options:
  A) 80
  B) 95
  C) 100
  D) 115
  Show Answer
  The correct answer is B .
• Question 2028: The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place. Options:
  A) 128.3m
  B) 108.8m
  C) 80.2m
  D) 57.7m
  E) 42.5m
  Show Answer
  The correct answer is E .
• Question 2029: Let = $\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$ p = $\left(\begin{array}{cc}2& 3\\ 4& 5\end{array}\right)$ Q = $\left(\begin{array}{cc}u& 4+u\\ -2v& v\end{array}\right)$ be 2 x 2 matrices such that PQ = 1. Find (u, v) Options:
  A) (-$\frac{5}{2}$ - 1)
  B) (-$\frac{5}{2}$ - $\frac{3}{2}$)
  C) (-$\frac{5}{6}$ - 1)
  D) ($\frac{5}{2}$ - $\frac{3}{2}$)
  Show Answer
  The correct answer is A .
• Question 2030: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .