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: If x - 4 is a factor of x² - x - k, then k is Options:
  A) 4
  B) 12
  C) 20
  D) 2
  Show Answer
  The correct answer is B .
• 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: The graph of f(x) = x² - 5x + 6 crosses the x-axis at the points Options:
  A) (-6, 0), (-1, 0)
  B) (-3, 0), (-2,0)
  C) (-6, 0),(1, 0)
  D) (2, 0), (3, 0)
  Show Answer
  The correct answer is D .
• Question 4: Find the value of log${}_{\sqrt{3}}$ 81 Options:
  A) 81
  B) 16
  C) 8
  D) 3
  E) $\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 5: Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k. Options:
  A) y = k + or - 4
  B) y = 4 + or - k
  C) y = 4 + k
  D) y = k - 4
  Show Answer
  The correct answer is A .
• Question 6: Integrate $\frac{1}{x}$ + cos x with respect to x Options:
  A) -$\frac{1}{x^2}$ + sin x + k
  B) x + sin x - k
  C) x - sin x + k
  D) -$\frac{1}{x^2}$ - sin x + k
  Show Answer
  The correct answer is C .
• Question 7: If x > 0, find the range of the numbers x - 3, 3x + 2, x - 1, 4x, 2x - 1, x - 2, 2x - 2, 3x and 3x + 1 Options:
  A) 3x + 3
  B) 3x + 1
  C) 2x + 5
  D) 2x + 1
  Show Answer
  The correct answer is B .
• Question 8: Find x if 132_x = 70 _eight. Options:
  A) 5
  B) 3
  C) 6
  D) 1
  Show Answer
  The correct answer is C .
• Question 9: If f(x - 4) = x² + 2x + 3, Find, f(2) Options:
  A) 6
  B) 11
  C) 27
  D) 51
  Show Answer
  The correct answer is D .
• Question 10:

  If x + y = 90, simplify (sinx + siny)²−2sinxsiny

  Options:
  A) 1
  B) 0
  C) 2
  D) -1
  Show Answer
  The correct answer is A .