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 241: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 242:

  Given that $p=1+\sqrt{2}$ and $q=1-\sqrt{2},$ evaluate $\frac{(p^2-q^2)}{2pq}$.

  Options:
  A) 2(2+√2)
  B) -2(2+√2)
  C) 2√2
  D) -2√2
  Show Answer
  The correct answer is D .
• Question 243: Make Q the subject of formula if p = $\frac{M}{5}$(X + Q) + 1 Options:
  A) $\frac{5P-MX+5}{M}$
  B) $\frac{5P-MX-5}{M}$
  C) $\frac{5P+MX+5}{M}$
  D) $\frac{5P+MX-5}{M}$
  Show Answer
  The correct answer is B .
• Question 244: If x₁₀ = 1214₅ find x Options:
  A) 124
  B) 121
  C) 184
  D) 180
  Show Answer
  The correct answer is C .
• Question 245: Factorize $x^2-2x-15$ Options:
  A) (x + 3)²
  B) (x + 5)(x − 3)
  C) (x − 5)²
  D) (x − 5)(x + 3)
  Show Answer
  The correct answer is D .
• Question 246: Find the acute angle between the straight lines y = x and y = $\sqrt{3x}$ Options:
  A) 15^o
  B) 30^o
  C) 45^o
  D) 60^o
  Show Answer
  The correct answer is B .
• Question 247:

  If √(2x + 2) − √x = 1, find x.

  Options:
  A) x = 1 twice
  B) x = 0 or 1
  C) x = 3 or 1
  D) x = 2 twice
  Show Answer
  The correct answer is A .
• Question 248: Find $\alpha$ and $\beta$ such that x^{$\frac{3}{8}$} x y^{$\frac{-6}{7}$} x ($\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}$)^{$\frac{1}{9}$} = $\frac{y^{\alpha }}{y^{\beta }}$ Options:
  A) $\alpha$ = 1, $\beta$ = $\frac{5}{7}$
  B) $\alpha$= 1, $\beta$ = -$\frac{5}{7}$
  C) $\alpha$= $\frac{3}{5}$, $\beta$ = -6
  D) $\alpha$= 1, $\beta$ = -$\frac{3}{5}$
  Show Answer
  The correct answer is A .
• Question 249:

  Find the average of the first four prime numbers greater than 10

  Options:
  A) 20
  B) 19
  C) 17
  D) 15
  Show Answer
  The correct answer is D .
• Question 250: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .