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 2611: Find the size of each exterior angle of a regular octagon Options:
  A) 51${}^{\circ }$
  B) 45${}^{\circ }$
  C) 40${}^{\circ }$
  D) 36${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 2612: If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms? Options:
  A) 2
  B) 4
  C) 6
  D) 8
  E) 10
  Show Answer
  The correct answer is C .
• Question 2613: A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60${}^{\circ }$, find the width of the river. Options:
  A) 100m
  B) 75√3 m
  C) 100√3m
  D) 200√3m
  Show Answer
  The correct answer is C .
• Question 2614: Determine the third term of a geometrical progression whose first and second term are 2 and 14 respectively Options:
  A) 1458
  B) 1485
  C) 1345
  D) 1258
  Show Answer
  The correct answer is A .
• Question 2615:

  

  In diagram, PQ || ST and < PQR = 120${}^{\circ }$, < RST = 130${}^{\circ }$, find the angle marked x

  Options:
  A) 50
  B) 65
  C) 70
  D) 80
  Show Answer
  The correct answer is C .
• Question 2616: A quadratic equation with roots -1$\frac{1}{2}$ and $\frac{1}{4}$ is Options:
  A) x² + 3x + 4 = 0
  B) 8x² + 10x + 3 = 0
  C) 8x² +12x – 3 = 0
  D) 8x² + 10x-3.= 0
  E) 8x² + 12x + 3 = 0
  Show Answer
  The correct answer is D .
• Question 2617: If the lines 2y - kx + 2 = 0 and y + x - $\frac{k}{2}$ = 0 intersect at (1, 2), find the value of k Options:
  A) -2
  B) -4
  C) -1
  D) -3
  Show Answer
  The correct answer is A .
• Question 2618: If y = 243(4x + 5)^-2, find $\frac{dy}{dx}$ when x = 1 Options:
  A) $\frac{-8}{3}$
  B) $\frac{3}{8}$
  C) $\frac{9}{8}$
  D) -$\frac{8}{9}$
  Show Answer
  The correct answer is A .
• Question 2619:

  Given that $\theta$ is an acute angle and sin $\theta$ = $\frac{m}{n}$, find cos $\theta$

  Options:
  A) $\frac{\sqrt{n^2-m^2}}{m}$
  B) $\frac{\sqrt{(n+m)(n-m)}}{n}$
  C) $\frac{m}{\sqrt{n^2-m^2}}$
  D) $\sqrt{\frac{n}{n^2-m^2}}$
  Show Answer
  The correct answer is B .
• Question 2620: If y = $\frac{x}{x-3}$ + $\frac{x}{x+4}$ find y when x = -2 Options:
  A) -$\frac{3}{5}$
  B) $\frac{3}{5}$
  C) -$\frac{7}{5}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is C .