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 binary operation x is defined by a x b = a${}^b$. If a x 2 = 2 - a, find the possible values of a?

  Options:
  A) 1, -2
  B) 2, -1
  C) 2, -2
  D) 1, -1
  Show Answer
  The correct answer is A .
• Question 2: If x, y can take values from the set (1, 2, 3, 4), find the probability that the product of x and y is not greater than 6 Options:
  A) $\frac{5}{8}$
  B) $\frac{5}{16}$
  C) $\frac{1}{2}$
  D) $\frac{3}{8}$
  Show Answer
  The correct answer is A .
• Question 3:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 4: Simplify 4 - $\frac{1}{2-\sqrt{3}}$ Options:
  A) 2$\sqrt{3}$
  B) -2 - $\sqrt{3}$
  C) -2 + $\sqrt{3}$
  D) 2 - $\sqrt{3}$
  Show Answer
  The correct answer is D .
• Question 5: A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0 Options:
  A) -⁵/₄
  B) -⁵/₆
  C) zero
  D) 5
  Show Answer
  The correct answer is A .
• Question 6: What is the common ratio of the G.P. $(\sqrt{10}+\sqrt{5})+(\sqrt{10}+2\sqrt{5})+...$? Options:
  A) $\sqrt{2}$
  B) $\sqrt{5}$
  C) 3
  D) 5
  Show Answer
  The correct answer is A .
• Question 7: A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly Options:
  A) 378 ways
  B) 462 ways
  C) 840 ways
  D) 924 ways
  Show Answer
  The correct answer is A .
• Question 8: Evaluate $\left|\begin{array}{ccc}2& 0& 5\\ 4& 6& 3\\ 8& 9& 1\end{array}\right|$ Options:
  A) 5y - 2x -18 = 0
  B) 102
  C) -102
  D) -42
  Show Answer
  The correct answer is C .
• Question 9:

  Evaluate $\frac{2{\log }_{3}9\times {\log }_3{81}^{-2}}{{\log }_{5}625}$

  Options:
  A) 4
  B) -32
  C) -8
  D) 16
  Show Answer
  The correct answer is C .
• Question 10: Find the point (x, y) on the Euclidean plane where the curve y = 2x² - 2x + 3 has 2 as gradient Options:
  A) (1, 3)
  B) (2, 7)
  C) (0, 3)
  D) (3, 15)
  Show Answer
  The correct answer is A .