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 531: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 532: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 533:

  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 534: 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 535: If (IPO3)4 = 115₁₀ find P Options:
  A) o
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is D .
• Question 536:

  The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

  Options:
  A) 201
  B) 144
  C) 198
  D) 72
  Show Answer
  The correct answer is C .
• Question 537: Factorize 2t² + t - 15 Options:
  A) (2t - 3)(t + 5)
  B) (t + 3)(2t - 5)
  C) (t + 3)(t - 5)
  D) (2t + 3)(t - 5)
  Show Answer
  The correct answer is B .
• Question 538:

  

  In the diagram, the base diameter is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top.[$\pi \frac{22}{7}$]

  Options:
  A) 836cm²
  B) 308cm²
  C) 528cm²
  D) 154cm²
  Show Answer
  The correct answer is A .
• Question 539: If tan θ = 4/3, calculate sin²θ - cos²θ. Options:
  A) 16/25
  B) 24/25
  C) 7/25
  D) 9/25
  Show Answer
  The correct answer is C .
• Question 540:

  Find the probability that a number selected at random from 21 to 34 is a multiple of 3

  Options:
  A) $\frac{3}{11}$
  B) $\frac{2}{9}$
  C) $\frac{5}{14}$
  D) $\frac{5}{13}$
  Show Answer
  The correct answer is C .