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 201: Simplify $\frac{x-7}{x^2-9}$ x $\frac{x^2-3x}{x^2-49}$ Options:
  A) $\frac{x}{(x-3)(x-7)}$
  B) $\frac{x}{(x+3)(x-7)}$
  C) $\frac{x}{(x+3)(x+7)}$
  D) $\frac{x}{(x-3)(x+7)}$
  Show Answer
  The correct answer is C .
• Question 202: Write h in terms of a, b, c, d if a = $\frac{b(1-ch)}{a-dh}$ Options:
  A) h = $\frac{a-b}{ad}$
  B) h = $\frac{1-b}{ad-bc}$
  C) h = $\frac{(a-b{)}^2}{ad-bc}$
  D) h = $\frac{a-b}{ad-bc}$
  E) h = $\frac{b-a}{ab-dc}$
  Show Answer
  The correct answer is D .
• Question 203: Make t the subject of formula S = ut + $\frac{1}{2}a{t}^2$ Options:
  A) $\frac{1}{a}-u+\sqrt{u^2-2as}$
  B) $\frac{1}{a}u\pm (u^2-2as)$
  C) $\frac{1}{a}u\pm \sqrt{2as}$
  D) $\frac{1}{a}-u+\sqrt{2as}$
  Show Answer
  The correct answer is A .
• Question 204: A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river. Options:
  A) 75√3m
  B) 100√3m
  C) 200√3m
  D) 100m
  Show Answer
  The correct answer is B .
• Question 205: 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 206: A binary operation $\oplus$ is defines on the set of all positive integers by a $\oplus$ b = ab for all positive integers a, b. Which of the following properties does NOT hold? Options:
  A) closure
  B) identity
  C) positive
  D) inverse
  Show Answer
  The correct answer is D .
• Question 207: A variable y is inversely proportional to x², when y = 10, x = 2. What is y when x = 10? Options:
  A) 2
  B) 4
  C) 100
  D) 0.4
  E) 0.1
  Show Answer
  The correct answer is D .
• Question 208:

  Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.

  Determine (P-Q) ∩ R

  Options:
  A) {1, x}
  B) {x y}
  C) {x}
  D) ɸ
  Show Answer
  The correct answer is C .
• Question 209: ${\int }_{-\frac{\pi }{2}}^{\frac{\pi }{2}}$cosx dx Options:
  A) 7
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is B .
• Question 210: Evaluate $\left|\begin{array}{ccc}2& 0& 5\\ 4& 6& 3\\ 8& 9& 1\end{array}\right|$ Options:
  A) 5y - 2x -18 = 0
  B) 102
  C) -102
  D) -42
  Show Answer
  The correct answer is C .