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: In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects? Options:
  A) 45
  B) 10
  C) 35
  D) 30
  Show Answer
  The correct answer is B .
• Question 2: If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals Options:
  A) NQ
  B) ¹/₄NQ
  C) 2NQ
  D) ¹/₂NQ
  Show Answer
  The correct answer is A .
• Question 3: In how many ways can the letters of the word TOTALITY be arranged? Options:
  A) 6720
  B) 6270
  C) 6207
  D) 6027
  Show Answer
  The correct answer is A .
• Question 4: Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0 Options:
  A) -5, -4
  B) -4,. -5
  C) 4, 5
  D) 5, 4
  Show Answer
  The correct answer is D .
• Question 5: If (159.75)₁₀ = (y)₆. Find x Options:
  A) x₆ = 123.34₆
  B) x₆ = 424.5₆
  C) x₆ = 122.43₆
  D) x₆ = 124.45₆
  Show Answer
  The correct answer is B .
• Question 6: Given distribution of color beads: blue, black, yellow, white and brown with frequencies 1, 2, 3, 4, and 5 respectively. Find the probability that a bead picked at random will be blue or white. Options:
  A) 7/15
  B) 2/5
  C) 1/3
  D) 1/15
  Show Answer
  The correct answer is C .
• Question 7:

  Find the matrix A

  A $\left[\begin{array}{cc}0& 1\\ 2& -1\end{array}\right]$ =$\left[\begin{array}{cc}2& -1\\ 1& 0\end{array}\right]$

  Options:
  A) $\left[\begin{array}{cc}2& 1\\ {-}^1{/}_2& {-}^1{/}_2\end{array}\right]$
  B) $\left[\begin{array}{cc}0& 1\\ {}^1{/}_2& {}^1{/}_2\end{array}\right]$
  C) $\left[\begin{array}{cc}2& 1\\ 0& -1\end{array}\right]$
  D) $\left[\begin{array}{cc}2& 1\\ {}^1{/}_2& -2\end{array}\right]$
  Show Answer
  The correct answer is B .
• Question 8: 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 9: 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 10:
  

  Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for $0^o\le \theta \le {360}^o$

  Options:
  A) θ = 223${}^o$, 305${}^o$
  B) θ = 210${}^o$, 330${}^o$
  C) θ = 185${}^o$, 345${}^o$
  D) θ = 218${}^o$, 323${}^o$
  Show Answer
  The correct answer is D .