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: The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q. Options:
  A) 040°
  B) 070°
  C) 280°
  D) 320°
  Show Answer
  The correct answer is B .
• Question 2:

  

  In the figure, the area of the shaded segment is

  Options:
  A) 3$\pi$
  B) 9$\frac{\sqrt{3}}{4}$
  C) 3 $\pi -3\frac{\sqrt{3}}{4}$
  D) $\frac{(\sqrt{3-\pi )}}{4}$
  E) $\pi +\frac{9\sqrt{3}}{4}$
  Show Answer
  The correct answer is C .
• Question 3: In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers? Options:
  A) 10
  B) 5
  C) 15
  D) 20
  Show Answer
  The correct answer is D .
• Question 4:

  Calculate the mean deviation of the first five prime numbers.

  Options:
  A) 2.72
  B) 5.6
  C) 5.25
  D) 13.6
  Show Answer
  The correct answer is A .
• Question 5:

  Express $16.54\times {10}^{-5}-6.76\times {10}^{-8}+0.23\times {10}^{-6}$ in standard form.

  Options:
  A) 1.66 x 10${}^{-4}$
  B) 1.66 x 10${}^{-5}$
  C) 1.65 x 10${}^{-5}$
  D) 1.65 x 10${}^{-4}$
  Show Answer
  The correct answer is A .
• Question 6:

  $\begin{array}{cccccc}\text{Age in years}& 13& 14& 15& 16& 17\\ \text{No. of students}& 3& 10& 30& 42& 15\end{array}$

  The frequency distribution above shows the ages of students in a secondary school. In a pie chart constructed to represent the data, the angles corresponding to the 15 years old is

  Options:
  A) 27^o
  B) 30^o
  C) 54^o
  D) 108^o
  Show Answer
  The correct answer is D .
• Question 7: The locus of a point which is equidistant from the line PQ forms a Options:
  A) circle centre P
  B) pair of parallel lines each opposite to PQ
  C) circle centre Q
  D) perpendicular line to PQ
  Show Answer
  The correct answer is D .
• Question 8:

  The probability of an outcome A is 1/6. The probability of the B outcome is 1/4. If the probability of A or B or both is 1/12, what is the probability of both outcomes A and B?

  Options:
  A) 1/2
  B) 1/3
  C) 2/5
  D) 3/4
  Show Answer
  The correct answer is B .
• Question 9: Evaluate ∫${}_2^{\pi }$(sec² x - tan²x)dx Options:
  A) $\frac{\pi }{2}$
  B) $\pi$ - 2
  C) $\frac{\pi }{3}$
  D) $\pi$ + 2
  Show Answer
  The correct answer is B .
• Question 10:

  X and Y are two sets such that nX = 15, nY = 12 and n{X ∩ Y} = 7. Find n{X ∪ Y}.

  Options:
  A) 21
  B) 225
  C) 15
  D) 20
  Show Answer
  The correct answer is D .