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 111: If x = 3 - $\sqrt{3}$, find x² + $\frac{36}{x^2}$ Options:
  A) 9
  B) 18
  C) 24
  D) 27
  Show Answer
  The correct answer is C .
• Question 112:

  Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

  $\begin{array}{ccc}\text{Class boundary in cm}& \text{frequency}& \\ 3.35-3.45& 3\\ 3.45-3.55& 6\\ 3.55-3.65& 7\\ 3.65-3.75& 4\end{array}$

  What is the mean diameter of the copper spheres?

  Options:
  A) 3.40cm
  B) 3.58cm
  C) 3.56cm
  D) 3.62cm
  Show Answer
  The correct answer is C .
• Question 113: A pentagon has four of its angles equal. If the size of the fifth angle is 60^o, Find the size of each of the four equal angles. Options:
  A) 60^o
  B) 108^o
  C) 120^o
  D) 150^o
  E) None of the above
  Show Answer
  The correct answer is C .
• Question 114: Simplify $\frac{\sqrt{12}-\sqrt{3}}{\sqrt{12}+\sqrt{3}}$ Options:
  A) $\frac{1}{3}$
  B) 9
  C) 16cm
  D) 3
  Show Answer
  The correct answer is A .
• Question 115: Evaluate (x + $\frac{1}{x}$ + 1)² - (x + $\frac{1}{x}$ + 1)² Options:
  A) 4x²
  B) ($\frac{2}{x}$ + 2)²
  C) 4
  D) 4(1 + x)
  Show Answer
  The correct answer is D .
• Question 116: Find a factor which is common to all 3 binomial expressions $4a^2-9b^2,8a^3+27b^3,(4a+6b{)}^2$. Options:
  A) 4a + 6b
  B) 4a - 6b
  C) 2a + 3b
  D) 2a - 3b
  E) None
  Show Answer
  The correct answer is C .
• Question 117: Simplify $\frac{1}{x-2}$ + $\frac{1}{x+2}$ + $\frac{2x}{x^2-4}$ Options:
  A) $\frac{2x}{(x-2)(x+2)(x^2-4)}$
  B) $\frac{2x}{x^2-4}$
  C) $\frac{x}{x^2-4}$
  D) $\frac{4x}{x^2-4}$
  Show Answer
  The correct answer is D .
• Question 118: Find the value of (0.006)³ + (0.004)³ in standard form Options:
  A) 2.8 x 10^-9
  B) 2.8 x 10^-7
  C) 2.8 x 10^-8
  D) 2.8 x 10^-6
  Show Answer
  The correct answer is B .
• Question 119: Evaluate ∫${}_2^{\pi }$(sec² x - tan²x)dx Options:
  A) $\frac{\pi }{2}$
  B) $\pi$ - 2
  C) $\frac{\pi }{3}$
  D) $\pi$ + 2
  Show Answer
  The correct answer is B .
• Question 120: Let p be a probability function on set S, where S = (a₁, a₂, a₃, a₄). Find P(a₁) if P(a₂) = $\frac{1}{3}$, p(a₃) = $\frac{1}{6}$ and p(a₄) = $\frac{1}{5}$ Options:
  A) $\frac{7}{3}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $\frac{3}{10}$
  Show Answer
  The correct answer is D .