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 2041: Simplify $\frac{2\sqrt{3}+3\sqrt{5}}{3\sqrt{5}-2\sqrt{3}}$ Options:
  A) $\frac{19+4\sqrt{25}}{11}$
  B) $\frac{19+4\sqrt{15}}{11}$
  C) $\frac{19+2\sqrt{15}}{11}$
  D) $\frac{19+2\sqrt{15}}{19}$
  Show Answer
  The correct answer is B .
• Question 2042:

  Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

  Options:
  A) 1920cm${}^2$
  B) 592cm${}^2$
  C) 296cm${}^2$
  D) 148cm${}^2$
  Show Answer
  The correct answer is B .
• Question 2043: 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 2044: Evaluate $\frac{(0.5625{)}^2-(0.4375{)}^2}{0.04}$ Options:
  A) 0.131
  B) 3.11
  C) 3.12
  D) 3.13
  Show Answer
  The correct answer is D .
• Question 2045: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 2046: If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 2047: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 2048: Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils? Options:
  A) 10.5yrs.
  B) 11yrs.
  C) 11.5 yrs.
  D) 12yrs.
  E) 12.5yrs.
  Show Answer
  The correct answer is C .
• Question 2049: 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 2050: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .