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 41: Factorize 4a² - 12ab - C² + 9b² Options:
  A) 4a(a - 3b) + (3b - c)²
  B) (2a + 3b - c)(2a + 3b + c)
  C) (2a - 3b + c)(2a - 3b - c)
  D) 4a(a - 3b) + (3b + c)
  Show Answer
  The correct answer is C .
• Question 42: If S = (x : x² = 9, x > 4), then S is equal to Options:
  A) 4
  B) {0}
  C) $\oplus$
  D) {$\oplus$}
  Show Answer
  The correct answer is C .
• Question 43: A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to $\frac{2}{5}$ Options:
  A) 4
  B) 20
  C) 24
  D) 40
  Show Answer
  The correct answer is A .
• Question 44:

  

  Use the graph of the curve y = f(x)to solve the inequality f(x) $\le$ 0

  Options:
  A) -1 $\ge$ x $\ge$ 1, x $\ge$ 2
  B) x $\le$ -1, 1 $\ge$ x $\ge$ 2
  C) x $\ge$ -1, 1 $\ge$ x $\ge$ 2
  D) x $\ge$ 2, -1 $\ge$ x $\ge$ 1
  Show Answer
  The correct answer is B .
• Question 45: If duty is levied at 25%, find the duty to be added to a bill of ₦80. Options:
  A) ₦100
  B) ₦20
  C) ₦80
  D) ₦150
  Show Answer
  The correct answer is B .
• Question 46: Find the simple interest rate percent per annum at which ₦1,000 accumulates to ₦1,240 in 3 years Options:
  A) 6%
  B) 8%
  C) 10%
  D) 12%
  Show Answer
  The correct answer is B .
• Question 47: If ($\frac{2}{3}$)m ($\frac{3}{4}$)n = $\frac{252}{729}$, find the values of m and n Options:
  A) m = 4, n = 2
  B) m = -4, n = -2
  C) m = -4, n =2
  D) m = 4, n = -2
  E) m = -2, n = 4
  Show Answer
  The correct answer is D .
• Question 48: Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is B .
• Question 49: One angle of a rhombus is 60^o. The shorter of the two diagonals is 8cm long. Find the length of the longer one. Options:
  A) 8$\sqrt{3}$
  B) $\frac{16}{\sqrt{3}}$
  C) $\sqrt{3}$
  D) $\frac{10}{\sqrt{3}}$
  Show Answer
  The correct answer is A .
• Question 50: Find the value of log₁₀$\frac{1}{40}$, given that log₁₀4 = 0.6021 Options:
  A) 1.3979
  B) 2.3979
  C) 1.6021
  D) 2.6021
  Show Answer
  The correct answer is C .