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 2211: The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years? Options:
  A) 18
  B) 23
  C) 25
  D) 36
  E) 70
  Show Answer
  The correct answer is A .
• Question 2212:

  Find the probability that a number selected at random from 41 to 56 is a multipleof 9

  Options:
  A) $\frac{1}{8}$
  B) $\frac{2}{15}$
  C) $\frac{3}{16}$
  D) $\frac{7}{8}$
  Show Answer
  The correct answer is A .
• Question 2213: In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km in the next hour. He was second to Nzozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?
  Options:
  A) -1 < x < x < 0
  B) -3 < x < 3
  C) 0 $\le$ x < 18
  D) 15 < x < 18
  Show Answer
  The correct answer is C .
• Question 2214: A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-³/₄)⊕6 is Options:
  A) ³/₄
  B) -⁹/₂
  C) ⁴⁵/₄
  D) -³/₄
  Show Answer
  The correct answer is A .
• Question 2215: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 2216: A car travels at an average speed of 75km/h. Find its speed in metres per second. Options:
  A) 270m/s
  B) 208m/s
  C) 27.0m/s
  D) 20.8m/s
  E) 2.08m/s
  Show Answer
  The correct answer is D .
• Question 2217: 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 2218: The three sides of an isosceles triangle are length of lengths (x + 3), (2x + 3), (2x - 3) respectively. Calculate x. Options:
  A) 5
  B) 1
  C) 3
  D) 6
  Show Answer
  The correct answer is D .
• Question 2219: A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope is 1.25m, what was the percentage error in the measurement? Options:
  A) 1.40%
  B) 0.01%
  C) 0.25%
  D) 6.9%
  E) 0.80%
  Show Answer
  The correct answer is E .
• Question 2220: Let p be a probability function on set S, where S = (a₁, a₂, a₃, a₄). Find P(a₁) if P(a₂) = $\frac{1}{3}$, p(a₃) = $\frac{1}{6}$ and p(a₄) = $\frac{1}{5}$ Options:
  A) $\frac{7}{3}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $\frac{3}{10}$
  Show Answer
  The correct answer is D .