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 21: A frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained. Options:
  A) 8.0 m
  B) 8.4 m
  C) 9.0 m
  D) 10.0 m
  Show Answer
  The correct answer is D .
• Question 22: P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q =$\frac{8}{5}$ Options:
  A) 12$\frac{8}{5}$
  B) 15
  C) 10
  D) 28$\frac{8}{5}$
  Show Answer
  The correct answer is C .
• Question 23: If a $\ast$ b = + $\sqrt{ab}$, evaluate 2 $\ast$(12 $\ast$ 27) Options:
  A) 12
  B) 9
  C) 6
  D) 2
  Show Answer
  The correct answer is C .
• Question 24: Simplify 3 log₆9 + log₆12 + log₆64 - log₆72 Options:
  A) 5
  B) 7776
  C) log₆31
  D) (7776)₆
  Show Answer
  The correct answer is A .
• Question 25: If x³ - 12x - 16 = 0 has x = -2 as a solution then the equaion has Options:
  A) x = -4 as a solution also
  B) 3 roots all different
  C) 3 roots with two equal and the third different
  D) 3 roots all equal
  E) only one root
  Show Answer
  The correct answer is B .
• Question 26: Solve the inequality -6(x + 3) $\le$ 4(x - 2) Options:
  A) x $\le$ 2
  B) x $\ge$ -1
  C) x $\ge$ -2
  D) x $\le$ -1
  Show Answer
  The correct answer is B .
• Question 27: Factorize 1 - (a - b)² Options:
  A) (1 - a - b)(1 - a + b)
  B) (1 + a - b)(1 - a + b)
  C) (1 - a + b)(1 - a + b)
  D) (1 + a + b)(1 + a + b)
  Show Answer
  The correct answer is B .
• Question 28:

  The nth term of the sequence 3, 9, 27, 81.... is

  Options:
  A) 3 x 3^n-2
  B) 3 x 3^n-1
  C) 3 x 3ⁿ⁺²
  D) 3 x 3ⁿ⁺¹
  Show Answer
  The correct answer is B .
• Question 29: The number 25 when when converted from the tens and units base to the binary base (base two) is one of the following Options:
  A) 10011
  B) 111011
  C) 111000
  D) 11001
  E) 110011
  Show Answer
  The correct answer is D .
• Question 30:

  $\begin{array}{cccc}\text{Age in years}& 10& 11& 12\\ \text{Number of pupils}& 6& 27& 7\end{array}$

  The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

  Options:
  A) $\frac{27}{40}$
  B) $\frac{17}{20}$
  C) $\frac{33}{40}$
  D) $\frac{3}{20}$
  Show Answer
  The correct answer is B .