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 31: Evaluate ($\frac{1}{343}$)${}^{\frac{1}{3}}$ + (64)${}^{-\frac{1}{3}}$ - $\frac{4}{9}$${}^{-\frac{1}{2}}$ Options:
  A) -$\frac{17}{36}$
  B) -$\frac{3}{28}$
  C) $\frac{13}{28}$
  D) $\frac{17}{36}$
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is B .
• Question 32:

  

  In the figure, PQST is a parallelogram and TSR is a straight line. If the area of $△$QRS is 20cm², find the area of the trapezium PQRT.

  Options:
  A) 35cm²
  B) 65cm²
  C) 70cm²
  D) 140cm²
  Show Answer
  The correct answer is C .
• Question 33: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 34:

  The area of a square is 144 sq cm. Find the length of its diagonal

  Options:
  A) 11$\sqrt{3}$cm
  B) 12cm
  C) 12$\sqrt{2}$cm
  D) 13cm
  Show Answer
  The correct answer is C .
• Question 35:

  Evaluate: 16${}^{0.16}$ × 16${}^{0.04}$ × 2${}^{0.2}$

  Options:
  A) 2
  B) 0
  C) 2${}^0$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 36: Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1. Options:
  A) 32
  B) 36
  C) 33
  D) 40
  Show Answer
  The correct answer is D .
• Question 37: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 38: A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime Options:
  A) $\frac{2}{11}$
  B) $\frac{5}{11}$
  C) $\frac{6}{11}$
  D) $\frac{8}{11}$
  Show Answer
  The correct answer is A .
• Question 39: If 3x - $\frac{1}{4}$^{-$\frac{1}{2}$} > $\frac{1}{4}$ - x, then the interval of values of x is
  Options:
  A) x > $\frac{1}{3}$
  B) x < $\frac{1}{3}$
  C) x < $\frac{1}{4}$
  D) x < $\frac{9}{16}$
  E) x > $\frac{9}{16}$
  Show Answer
  The correct answer is E .
• Question 40: The sum to infinity of a geometric progression is $-\frac{1}{10}$ and the first term is $-\frac{1}{8}$. Find the common ratio of the progression. Options:
  A) $-\frac{1}{5}$
  B) $-\frac{1}{4}$
  C) $-\frac{1}{3}$
  D) $-\frac{1}{2}$
  Show Answer
  The correct answer is B .