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 2011:

  

  In the diagram, PR is a diameter of the circle PQRS. PST and QRT are straight lines. Find QRS

  Options:
  A) 20${}^{\circ }$
  B) 25${}^{\circ }$
  C) 30${}^{\circ }$
  D) 35${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 2012: A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked? Options:
  A) 15/28
  B) 13/28
  C) 5/14
  D) 3/14
  Show Answer
  The correct answer is A .
• Question 2013: Find the length of a side of a rhombus whose diagonals are 6cm and 8cm Options:
  A) 8cm
  B) 5cm
  C) 4cm
  D) 3cm
  Show Answer
  The correct answer is B .
• Question 2014:

  Integrate $\int (4x^{-3}-7x^2+5x-6)\mathrm{d}x$.

  Options:
  A) $-2x^{-2}-\frac{7}{3}{x}^3+\frac{5}{2}{x}^2-6x$
  B) $2x^2+\frac{7}{3}{x}^3-5x+6$
  C) $12x^2+14x-5$
  D) $-12x^{-4}-14x+5$
  Show Answer
  The correct answer is A .
• Question 2015: Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables. Options:
  A) 1.03
  B) 2.31
  C) 3.69
  D) 10.5
  E) 25
  Show Answer
  The correct answer is B .
• Question 2016: Find the values of x which satisfy the equation 16^x - 5 x 4^x + 4 = 0 Options:
  A) 1 and 4
  B) -2 and 2
  C) 0 and 1
  D) -1 and 0
  Show Answer
  The correct answer is C .
• Question 2017: The solution of the equation x² - 2x = 8 is Options:
  A) x = 0 or 2
  B) x = -2 or 4
  C) x = 2
  D) x = -4
  E) x = 2 or 4
  Show Answer
  The correct answer is B .
• Question 2018: P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R. Options:
  A) $P=\frac{Q}{12R}$
  B) $P=\frac{12Q}{R}$
  C) $P=12QR$
  D) $P=\frac{12}{QR}$
  Show Answer
  The correct answer is B .
• Question 2019: Find the value of sin 45${}^{\circ }$ - cos 30${}^{\circ }$ Options:
  A) $\frac{2+\sqrt{3}}{4}$
  B) $\frac{\sqrt{2}+\sqrt{3}}{4}$
  C) $\frac{\sqrt{2}+\sqrt{3}}{2}$
  D) $\frac{\sqrt{2}-\sqrt{3}}{2}$
  Show Answer
  The correct answer is D .
• Question 2020:

  $\begin{array}{cccccc}\text{Class Interval}& 1-5& 6-10& 11-15& 16-20& 21-25\\ Frequency& 6& 15& 20& 7& 2\end{array}$

  Estimate the median of the frequency distribution above

  Options:
  A) 10$\frac{1}{2}$
  B) 11$\frac{1}{2}$
  C) 12
  D) 13
  Show Answer
  The correct answer is C .