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 1561: 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 1562: A binary operation defines $\ast$ on the set of positive integers is such that x $\ast$ y = 2x - 3y + 2 for all positive integers x and y. The binary operation is Options:
  A) commutative and closed on the set of positive integers
  B) neither commutative nor closed on the set of positive integers
  C) commutative but not closed on the set of positive integers
  D) not commutative but closed on the set of positive integers
  Show Answer
  The correct answer is B .
• Question 1563: The prime factors of 2520 are Options:
  A) 2, 9, 5
  B) 2, 9, 7
  C) 2, 3, 5, 7
  D) 2, 3, 7, 9
  Show Answer
  The correct answer is C .
• Question 1564: One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon Options:
  A) 3
  B) 4
  C) 6
  D) 9
  E) 12
  Show Answer
  The correct answer is C .
• Question 1565:

  $\begin{array}{cccc}\text{Class Interval}& 3-5& 6-8& 9-11\\ \text{Frequency}& 2& 2& 2\end{array}$.

  Find the standard deviation of the above distribution.

  Options:
  A) √5
  B) √6
  C) √7
  D) √2
  Show Answer
  The correct answer is B .
• Question 1566: A tax player is allowed $\frac{1}{8}$th of his income tax-free, and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income? Options:
  A) ₦560.00
  B) ₦2,450.00
  C) ₦2,800.00
  D) ₦3,920.00
  Show Answer
  The correct answer is C .
• Question 1567: If e^x = 1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + .....Find $\frac{1}{e^x}$ Options:
  A) 1 - $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^3}{2^4.3}$ + .........
  B) 1 - $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^4}{2.4.3}$ + ..
  C) 1 + $\frac{x}{2}$ + $\frac{x^2}{1.2}$ + $\frac{x^3}{1.2.3}$ + $\frac{x^4}{1.23.4}$ + .........
  D) 1 - x + $\frac{x^2}{{1.2}^3}$ + $\frac{x^3}{2^4.3}$ + .........
  E) 1 + $\frac{x}{2}$ + $\frac{x^2}{{1.2}^3}$ + $\frac{x^4}{1.2.6}$ + .........
  Show Answer
  The correct answer is C .
• Question 1568: 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 1569: Factorize a²x - b²y - b²x + a²y Options:
  A) (a - b)(x + y)
  B) (y - x)(a - b)(a + b)
  C) (x - y)(a - b)(a + b)
  D) (x + y)(a - b)(a + b)
  Show Answer
  The correct answer is D .
• Question 1570: 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 .