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 421: A student spent $\frac{1}{5}$ of his allowances on books, $\frac{1}{3}$ of the remainder on food and kept the rest for contingences. What fraction was kept? Options:
  A) $\frac{7}{16}$
  B) $\frac{8}{15}$
  C) $\frac{2}{3}$
  D) $\frac{4}{5}$
  Show Answer
  The correct answer is B .
• Question 422: The ratio of the areas of similar triangles is necessarily equal to Options:
  A) the ratio of the corresponding sides
  B) the ratio of the squares on corresponsing sides
  C) the ratio of the corresponding heights of the triangles
  D) half the ratio of the corresponding heights of the triangles
  E) the ratio of the corresponding bases to the heights of the triangles
  Show Answer
  The correct answer is C .
• Question 423:

  Determine the mean monthly salary of 50 employees of a company from the following frequency distribution.

  $\begin{array}{cc}\text{Monthly salary}& \text{Frequency}\\ N200.00& 10\\ N325.00& 5\\ N100.00& 20\\ N120.00& 2\\ N60.00& 10\\ N80.00& 3\end{array}$

  Options:
  A) ₦215.30
  B) ₦134.10
  C) ₦143.10
  D) ₦80.00
  E) ₦50.30
  Show Answer
  The correct answer is B .
• Question 424:

  Find the sum to infinity of the following sequence: $1,\frac{9}{10},(\frac{9}{10}{)}^2,(\frac{9}{10}{)}^3,...$

  Options:
  A) $\frac{1}{10}$
  B) $\frac{9}{10}$
  C) $\frac{10}{9}$
  D) 10
  Show Answer
  The correct answer is D .
• Question 425:

  

  In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

  Options:
  A) 32cm
  B) 26cm
  C) 20cm
  D) 16cm
  Show Answer
  The correct answer is B .
• Question 426: What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0 Options:
  A) A circle of radius 4 cm and with centre O
  B) The perpendicular bisector of the chords
  C) a straight line passing through centre O
  D) A circle of radius 6 cm and with centre O
  Show Answer
  The correct answer is A .
• Question 427: P varies directly as the square of Q and inversely as R. If P = 36, when Q = 3 and R = 4, find P when Q = 5 and R = 2. Options:
  A) 72
  B) 100
  C) 90
  D) 200
  E) 125
  Show Answer
  The correct answer is D .
• Question 428: Which of the following lines is not parallel to the line 3y + 2x + 7 = 0? Options:
  A) 3y + 2x - 7 = 0
  B) 9y + 6x + 17 = 0
  C) 24y + 16x + 19 = 0
  D) 3y - 2x + 7 = 0
  E) 5y + 10x - 13 = 0
  Show Answer
  The correct answer is D .
• Question 429: Evaluate ${\left(\frac{81}{16}\right)}^{\frac{-1}{4}}\times 2^{-1}$ Options:
  A) ¹/₃
  B) 3
  C) 6
  D) ¹/₆
  Show Answer
  The correct answer is A .
• Question 430: Simplify 3 - 2 $÷$ $\frac{4}{5}$ + $\frac{1}{2}$ Options:
  A) 1$\frac{3}{4}$
  B) -1
  C) 1$\frac{3}{10}$
  D) 1
  E) 1$\frac{9}{10}$
  Show Answer
  The correct answer is D .