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 1981: The locus of a point which is 5 cm from the line LM is a Options:
  A) line distance 10 cm from LM and parallel to LM
  B) pair of line on opposite sides of LM and parallel to it, each distance 5 cm from LM
  C) line parallel to LM and 5 cm from LM
  D) pair of parallel lines on one side of LM and parallel to LM
  Show Answer
  The correct answer is B .
• Question 1982: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 1983: Factorize m³ - 2m² - m + 2 Options:
  A) (m² + 1)(m - 2)
  B) (m - 1)(m + 1)(m + 2)
  C) (m - 2)(m + 1)(m - 1)
  D) (m² + 2)(m - 1)
  Show Answer
  The correct answer is C .
• Question 1984: Simplify (6 - x - x²) ÷ (x² - 4) Options:
  A) (3 + x) ÷ (x + 2)
  B) (x - 3) ÷ (x - 2)
  C) (x - 3) ÷ (x + 3)
  D) (3 - x) ÷ (x + 2)
  E) (3 - x) ÷ (x - 2)
  Show Answer
  The correct answer is D .
• Question 1985: Express the quotient of 0.422 and 0.004 in standard form Options:
  A) 1.055 × 10²
  B) 10.55 × 10¹
  C) 105 × 10⁰
  D) 10.55 × 10^-1
  E) 1.055 × 10^-2
  Show Answer
  The correct answer is A .
• Question 1986:

  $\begin{array}{cccccccc}\text{No. of children}& 0& 1& 2& 3& 4& 5& 6\\ \text{No. of families}& 7& 11& 6& 7& 7& 5& 3\end{array}$

  Find the mode and median respectively of the distribution above

  Options:
  A) 2, 1
  B) 1, 2
  C) 1, 5
  D) 5, 2
  Show Answer
  The correct answer is B .
• Question 1987: Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2 Options:
  A) $\frac{64}{5}$
  B) 6
  C) $\frac{5}{34}$
  D) $\frac{-5}{34}$
  E) $\frac{-64}{5}$
  Show Answer
  The correct answer is D .
• Question 1988: A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 1989:

  

  If PN is perpendicular to QR, find the value of tan x.

  Options:
  A) $\frac{5}{9}$
  B) $\frac{3}{5}$
  C) $\frac{3}{4}$
  D) $\frac{4}{3}$
  E) $\frac{5}{3}$
  Show Answer
  The correct answer is B .
• Question 1990:

  If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2.

  Options:
  A) P = 98R²
  B) PR² = 98
  C) P = $\frac{1}{98R^2}$
  D) P = $\frac{P{R}^2}{98}$
  Show Answer
  The correct answer is B .