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 mean of the ages of ten secondary school pupils is 16 but when the age of their teacher is added to it the men becomes 19. Find the age of the teacher Options:
  A) 27
  B) 35
  C) 38
  D) 49
  Show Answer
  The correct answer is D .
• Question 2: A chord is drawn 5 cm away from the centre of a circle of radius 13 cm. Calculate the length of the chord. Options:
  A) 7 cm
  B) 9 cm
  C) 12 cm
  D) 24 cm
  Show Answer
  The correct answer is C .
• Question 3:

  Given that I₃ is a unit matrix of order 3, find |I₃|

  Options:
  A) -1
  B) 0
  C) 1
  D) 2
  Show Answer
  The correct answer is C .
• Question 4: An arc of a circle subtends an angle 70^o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.($\pi$ = $\frac{22}{7}$) Options:
  A) 22cm²
  B) 44cm²
  C) 66cm²
  D) 88cm²
  Show Answer
  The correct answer is A .
• Question 5:

  Simplify and express in standard form $\frac{0.00275\times 0.00640}{0.025\times 0.08}$

  Options:
  A) 8.8 x 10^-1
  B) 8.8 x 10^-2
  C) 8.8 x 10^-3
  D) 8.8 x 10³
  Show Answer
  The correct answer is C .
• Question 6:

  Find the area, to the nearest cm${}^2$, of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.

  Options:
  A) 1162 cm${}^2$
  B) 1163 cm${}^2$
  C) 1160 cm${}^2$
  D) 1161 cm${}^2$
  Show Answer
  The correct answer is A .
• Question 7:

  

  The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.

  Options:
  A) 30
  B) 11
  C) 50
  D) 20
  Show Answer
  The correct answer is B .
• Question 8: Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 9: The solution of the quadratic equation px² + qx + b = 0 is Options:
  A) $\sqrt{\frac{-b\pm b^2-4ac}{2a}}$
  B) $\frac{-b\pm \sqrt{p^2-4pb}}{2a}$
  C) $\frac{-q\pm \sqrt{q^2-4bp}}{2p}$
  D) $\frac{-q\pm \sqrt{p^2-4bp}}{2p}$
  Show Answer
  The correct answer is C .
• Question 10: The locus of a dog tethered to a pole with a rope of 4m is a Options:
  A) circle with diameter 4m
  B) circle with radius 4m
  C) semi-circle with diameter 4m
  D) semi-circle with radius 4m
  Show Answer
  The correct answer is B .