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 chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 2: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 3: A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number Options:
  A) $\frac{5}{11}$
  B) $\frac{1}{2}$
  C) $\frac{6}{11}$
  D) $\frac{7}{10}$
  Show Answer
  The correct answer is C .
• Question 4: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 5:

  Find a positive value of ã if the coordinate of the centre of a circle X²+y²-2ãx+4y-ã = 0 is (ã,-2) and the radius is 4 units.

  Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is C .
• Question 6:

  If $\left|\begin{array}{cc}2& -4\\ x& 9\end{array}\right|=58$, find the value of x.

  Options:
  A) 10
  B) 30
  C) 14
  D) 28
  Show Answer
  The correct answer is A .
• Question 7:

  

  In the figure, PS = RS = QS and QRS = 50^o. Find QPR

  Options:
  A) 25^o
  B) 40^o
  C) 50^o
  D) 65^o
  Show Answer
  The correct answer is A .
• Question 8: Simplify $\frac{3^{-5n}}{9^{1-n}}\times {27}^{n+1}$ Options:
  A) 3²
  B) 3³
  C) 3⁵
  D) 3
  Show Answer
  The correct answer is D .
• Question 9: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 10: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .