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 61:

  Simplify 2log $\frac{2}{5}$ - log$\frac{72}{125}$ + log 9

  Options:
  A) 1 - 4 log3
  B) -1 + 2 log 3
  C) -1 + 5 log2
  D) 1 - 2log 2
  Show Answer
  The correct answer is D .
• Question 62: A rectangular polygon of (2k + 1) sides has 140^o as the size of each interior angle. Find k Options:
  A) 4
  B) 4$\frac{1}{2}$
  C) 8
  D) 8$\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 63:

  Factorize completely 81a${}^4$ - 16b${}^4$

  Options:
  A) (3a + 2b)(2a - 3b)(9a² + 4b²)
  B) (3a - 2b)(2a - 3b)(4a² - 9b²)
  C) (3a - 2b)(3a + 2b)(9a² + 4b²)
  D) (6a - 2b)(8a - 3b)(4a³ - 9b²)
  Show Answer
  The correct answer is C .
• Question 64: Given that √2 = 1.1414, find without using tables, the value of $\frac{1}{\sqrt{2}}$ Options:
  A) 0.141
  B) 0.301
  C) 0.667
  D) 0.707
  Show Answer
  The correct answer is D .
• Question 65: Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm. Options:
  A) 3.92cm³
  B) 2.13cm³
  C) 1.97cm³
  D) 1.62cm³
  Show Answer
  The correct answer is D .
• Question 66:

  12 men complete a job in 9 days. How many men working at the same rate would be required to complete the job in 6 days?

  Options:
  A) 24
  B) 18
  C) 12
  D) 9
  E) 8
  Show Answer
  The correct answer is E .
• Question 67: What is the value of sin(-690)? Options:
  A) $\frac{\sqrt{3}}{2}$
  B) -$\frac{\sqrt{3}}{2}$
  C) $\frac{-1}{2}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 68: The solution of the quadratic equation bx² + cx + a = 0 is given by Options:
  A) x = b $\pm$ $\frac{\sqrt{b^2-4ac}}{2a}$
  B) x = c $\pm$ $\frac{\sqrt{b^2-4ab}}{2b}$
  C) x = -c $\pm$ $\frac{\sqrt{c^2-4ab}}{2b}$
  D) x = -b $\pm$ $\frac{\sqrt{b^2-4ac}}{2b}$
  Show Answer
  The correct answer is C .
• Question 69:

  Find the range of values of x which satisfies the inequality 12x² < x + 1.

  Options:
  A) -$\frac{1}{4}$ < x < $\frac{1}{3}$
  B) $\frac{1}{4}$ < x < -$\frac{1}{3}$
  C) -$\frac{1}{3}$ < x < $\frac{1}{4}$
  D) -$\frac{1}{4}$ < x < - $\frac{1}{3}$
  Show Answer
  The correct answer is A .
• Question 70: Factorize completely (4x + 3y)² - (3x - 2y)² Options:
  A) (x + 5y)(7x + y)
  B) (x + 5y)(7x - y)
  C) (x - 5y)(7x + y)
  D) (x - 5y)(7x -y)
  Show Answer
  The correct answer is A .