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 1: If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio Options:
  A) -2
  B) -3
  C) -5
  D) 5
  Show Answer
  The correct answer is C .
• Question 2: If $x–1$ and $x+1$ are both factors of the equation $x^3+p{x}^2+qx+6=0$, evaluate $p$ and $q$ Options:
  A) 6, -1
  B) 6, 1
  C) 1, -1
  D) 6, -6
  E) -6, -1
  Show Answer
  The correct answer is E .
• Question 3:
  

  The number line represented by the inequality

  Options:
  A) x≤2
  B) x<2
  C) x≥2
  D) x>2
  Show Answer
  The correct answer is C .
• Question 4: Simplify $\frac{(a^2-\frac{1}{a})+(a^{\frac{4}{3}}+a^{\frac{2}{3}})}{a^2{\frac{1}{a}}^2}$ Options:
  A) a^{$\frac{2}{3}$}
  B) a^{-$\frac{1}{3}$}
  C) a2 + 1
  D) a
  E) a^{$\frac{1}{3}$}
  Show Answer
  The correct answer is E .
• Question 5: Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0 Options:
  A) $\frac{2}{3}$
  B) -$\frac{2}{3}$
  C) -$\frac{3}{2}$
  D) $\frac{4}{3}$
  Show Answer
  The correct answer is C .
• Question 6: P sold his bicycle to Q at a profit of 10%. How much did the bicycle cost P? Options:
  A) ₦200
  B) ₦196
  C) ₦180
  D) ₦205
  E) ₦150
  Show Answer
  The correct answer is A .
• Question 7:

  If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

  Options:
  A) 10
  B) 30
  C) 15
  D) 40
  Show Answer
  The correct answer is A .
• Question 8:

  The quadratic equation whose roots are 1 - $\sqrt{13}$ and 1 + $\sqrt{13}$ is

  Options:
  A) x² + (1 - $\sqrt{13}$)x + 1 + $\sqrt{13}$ = 0
  B) x² - 2x - 12 = 0
  C) x² - 2x + 12 = 0
  D) x² + 12 + 2x² = 0
  Show Answer
  The correct answer is C .
• Question 9: Find the size of each exterior angle of a regular octagon. Options:
  A) 45^o
  B) 40^o
  C) 51^o
  D) 36^o
  Show Answer
  The correct answer is A .
• Question 10: If 321₄ is divided by 23₄ and leaves a remainder r, what is the value of r? Options:
  A) zero
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is C .