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: A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at ₦15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for ₦50.00, how much did she make by selling all the oil? Options:
  A) ₦62.50
  B) ₦35.00
  C) ₦31.00
  D) ₦25.00
  Show Answer
  The correct answer is D .
• Question 2:

  If pq + 1 = q² and t = $\frac{1}{p}$ - $\frac{1}{pq}$ express t in terms of q

  Options:
  A) $\frac{1}{p-q}$
  B) $\frac{1}{q-1}$
  C) $\frac{1}{q+1}$
  D) $1+q$
  E) $\frac{1}{1-q}$
  Show Answer
  The correct answer is C .
• Question 3:

  A factory worker earns ₦50,000 per month out of which he spends 15% on his children's education, ₦13,600 on Food, 3% on electricity and uses the rest for his personal purpose. How much does he have left?

  Options:
  A) N21,850
  B) N18,780
  C) N27,400
  D) N32,500
  Show Answer
  The correct answer is C .
• 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: A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20^o. How far is the car from the bottom of the tower to the nearest metre? Options:
  A) 184m
  B) 185m
  C) 186m
  D) 187m
  Show Answer
  The correct answer is D .
• Question 6: Find a two-digital number such that three times the terms digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits Options:
  A) 24
  B) 42
  C) 74
  D) 47
  E) 72
  Show Answer
  The correct answer is D .
• Question 7: If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = is odd. Find (E ∩ F), where means x 1x² = 2⁶, x the complement of a set Options:
  A) (0)
  B) U
  C) (8)
  D) $\varphi$
  Show Answer
  The correct answer is D .
• Question 8: A student blows a balloon and its volume increases at a rate of $\pi$(20 - t²)cm³S^-1 after t seconds. If the initial volume is 0 cm³, find the volume of the balloon after 2 seconds Options:
  A) 37.00$\pi$
  B) 37.33$\pi$
  C) 40.00$\pi$
  D) 42.67$\pi$
  Show Answer
  The correct answer is B .
• Question 9:

  $\begin{array}{ccccc}x& 2& 4& 6& 8\\ f& 4& y& 6& 5\end{array}$

  If the mean of the above frequency distribution is 5.2, find y

  Options:
  A) 2, 1
  B) 1, 2
  C) 1, 5
  D) 5, 2
  Show Answer
  The correct answer is C .
• Question 10: If y varies directly as $\sqrt{n}$ and y = 4 when n = 4, find y when n = 1$\frac{7}{9}$ Options:
  A) $\sqrt{17}$
  B) $\frac{4}{3}$
  C) $\frac{8}{3}$
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is C .