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: 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 42: Evaluate $\int$ sec²$\theta$ d $\theta$ Options:
  A) sec$\theta$ tan$\theta$ + k
  B) tan$\theta$ + k
  C) 2 sec$\theta$ + k
  D) sec$\theta$ + k
  Show Answer
  The correct answer is B .
• Question 43: One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{8}$
  C) $\frac{7}{24}$
  D) $\frac{1}{4}$
  E) $\frac{1}{24}$
  Show Answer
  The correct answer is D .
• Question 44:

  Integrate the expression 6x${}^2$ - 2x + 1

  Options:
  A) 3x${}^3$ - 2x${}^2$ + x + c
  B) 2x${}^3$ - x${}^2$ + x + c
  C) 2x${}^3$ – 3x${}^2$ + c
  D) x${}^3$ + x${}^2$ – x + c
  Show Answer
  The correct answer is B .
• Question 45: find the mean deviation of 1, 2, 3 and 4 Options:
  A) 2.5
  B) 2.0
  C) 1.0
  D) 1.5
  Show Answer
  The correct answer is C .
• Question 46: 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 47: The length, breadth and height of a cuboid are 8cm, 7$\frac{1}{2}$cm and 6$\frac{1}{2}$ cm respectively. What Is its volume in m³ (leave your answer in standard form)? Options:
  A) 3.9 × 10^-1m³
  B) 3.9 × 10^-2m³
  C) 3.9 × 10^-3m³
  D) 3.9 × 10^-4m³
  E) 3.9 × 10^-5m³
  Show Answer
  The correct answer is D .
• Question 48: Obi borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months, how much does he still owe? Options:
  A) ₦10.80
  B) ₦10.65
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .
• Question 49: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 50:

  

  In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF.

  Options:
  A) 126°
  B) 72°
  C) 54°
  D) 28°
  Show Answer
  The correct answer is B .