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: Find the range of values of x which satisfy the inequality $\frac{x}{2}$ + $\frac{x}{3}$ + $\frac{x}{4}$ < 1 Options:
  A) x < $\frac{12}{13}$
  B) x < 13
  C) x < 9
  D) $\frac{13}{12}$
  Show Answer
  The correct answer is A .
• Question 2: Make x the subject of the equation a(b + c) + $\frac{5}{d}$ - 2 = 0 Options:
  A) c = $\frac{2d-5-b}{ad}$
  B) c = $\frac{2d-5-abd}{ad}$
  C) c = $\frac{2d-5-ab}{ad}$
  D) c = $\frac{5-2d-b}{ad}$
  Show Answer
  The correct answer is B .
• Question 3:

  

  In the diagram above are two concentric circles of radii r and R respectively with center O. If r = ²/₃R, express the area of the shaded portion in terms of π and R

  Options:
  A) ²¹/₂₅πR²
  B) ⁹/₂₅πR²
  C) ²¹/₂₃πR²
  D) ⁵/₉πR²
  Show Answer
  The correct answer is D .
• Question 4:

  Find the values of p and q such that (x - 1)and (x - 3) are factors of px³ + qx² + 11x - 6

  Options:
  A) -1, -6
  B) 1, -6
  C) 1, 6
  D) 6, -1
  Show Answer
  The correct answer is B .
• Question 5: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 6: In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes Options:
  A) 2.5
  B) 56.0
  C) 56.2
  D) 56.3
  E) 6.5
  Show Answer
  The correct answer is B .
• Question 7: If it is given that 5^{x + 1} + 5^x = 150, then the value of x is equal to Options:
  A) 3
  B) 4
  C) 1
  D) 2
  E) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 8: Factorize completely 8a + 125ax³ Options:
  A) (2a + 5x²)(4 + 26ax)
  B) a(2 + 5x)(4 - 10x + 25x²)
  C) (2a + 5x)(4 - 10ax + 25x²)
  D) a(2 + 5x)(4 + 10ax + 25x²)
  Show Answer
  The correct answer is B .
• Question 9: Find correct to two decimals places 100 + $\frac{1}{100}$ + $\frac{3}{1000}$ + $\frac{27}{10000}$ Options:
  A) 100.02
  B) 1000.02
  C) 100.22
  D) 100.01
  E) 100.51
  Show Answer
  The correct answer is A .
• Question 10:

  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 .