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: Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode. Options:
  A) 49
  B) 121
  C) 25
  D) 64
  Show Answer
  The correct answer is B .
• Question 2:

  Make q the subject of the formula in the equation $\frac{mn}{a^2}-\frac{pq}{b^2}=1$

  Options:
  A) $q=\frac{b^2(mn-a^2)}{a^{2}p}$
  B) $q=\frac{m^{2}n-a^2}{p^2}$
  C) $q=\frac{mn-2b^2}{a^2}$
  D) $q=\frac{b^2(n^2-m{a}^2)}{n}$
  Show Answer
  The correct answer is A .
• Question 3: If , sT = $\sqrt{\frac{[(a+T)T]}{a}}$ what does T equal? Options:
  A) T = (a²s² – 1)
  B) T = (a²s²– 1) ÷ a
  C) T = a ÷ (a² - s²)
  D) T = a ÷ (a²s² – 1)
  E) T = (as – 1)²
  Show Answer
  The correct answer is D .
• Question 4:

  

  In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40^o. Calculate ∠QSR.

  Options:
  A) 30^o
  B) 40^o
  C) 45^o
  D) 50^o
  Show Answer
  The correct answer is D .
• Question 5: The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores. Options:
  A) 47
  B) 50
  C) 48$\frac{1}{2}$
  D) 48
  E) 49
  Show Answer
  The correct answer is C .
• Question 6: What is the value of sin(-690)? Options:
  A) $\frac{\sqrt{3}}{2}$
  B) -$\frac{\sqrt{3}}{2}$
  C) $\frac{-1}{2}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 7: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 8:

  How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

  Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is B .
• Question 9:

  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 10:

  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 .