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 1951: In the equation below, Solve for x if all the numbers are in base 2: $\frac{11}{x}$ = $\frac{1000}{x+101}$ Options:
  A) 101
  B) 11
  C) 110
  D) 111
  E) 10
  Show Answer
  The correct answer is B .
• Question 1952:

  Find the volume of a cone which has a base radius of 5 cm and slant height of 13 cm.

  Options:
  A) $300\pi$ cm${}^3$
  B) $325\pi$ cm${}^3$
  C) $\frac{325}{3}\pi$ cm${}^3$
  D) $100\pi$ cm${}^3$
  Show Answer
  The correct answer is D .
• Question 1953: If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides? Options:
  A) $\sqrt{2}$
  B) $\frac{1}{2}$
  C) 22
  D) 1
  E) 2 - 1
  Show Answer
  The correct answer is A .
• Question 1954:

  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 1955:

  

  Triangle OPQ is the solution of the inequalities

  Options:
  A) x - 1 < 0, y + $\ge$ 0, y - x $\ge$ 0
  B) x + 1 $\le$ 0, y + x $\ge$ 0, y - x $\le$ 0
  C) x - 1 $\ge$ 0, y - x $\ge$ 0, y + x $\ge$ 0
  D) y + x $\ge$ 0, y - x $\le$ 0
  Show Answer
  The correct answer is B .
• Question 1956: If log₂ y = 3 - log₂x $\frac{3}{2}$ find y when x = 4 Options:
  A) 8
  B) $\sqrt{65}$
  C) 4$\sqrt{2}$
  D) 3
  E) 1
  Show Answer
  The correct answer is E .
• Question 1957: If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the product of the modal and medial number. Options:
  A) 36
  B) 48
  C) 38
  D) 40
  E) none of the options
  Show Answer
  The correct answer is A .
• Question 1958:

  Simplify $(\sqrt[3]{64}{a}^3{)}^{-1}$.

  Options:
  A) $4a$
  B) $\frac{1}{8a}$
  C) $8a$
  D) $\frac{1}{4a}$
  Show Answer
  The correct answer is D .
• Question 1959:

  The ages of students in a small primary school were recorded in the table below.

  Age	5-6	7-8	9-10
  Frequency	29	40	38

  
  Estimate the median.

  Options:
  A) 7.725
  B) 6.225
  C) 7.5
  D) 6.5
  Show Answer
  The correct answer is A .
• Question 1960: Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$ Options:
  A) $\frac{1-\sqrt{5}}{2}$
  B) $\frac{1-\sqrt{5}}{4}$
  C) $\frac{\sqrt{5}-1}{2}$
  D) $\frac{1+\sqrt{5}}{4}$
  Show Answer
  The correct answer is B .