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 61:

  Evaluate ∫${}_1^2$ $\frac{5}{x}$ dx

  Options:
  A) 1.47
  B) 2.67
  C) 3.23
  D) 3.47
  Show Answer
  The correct answer is D .
• Question 62: 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 63: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 64: 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 65: If $\frac{t}{1}$ = $\sqrt{(\frac{4{\pi }^2}{g}})$, what is the value of g when I = 4.5; t = 5 secs Options:
  A) 3.20 ms²
  B) 11.31 ms²
  C) 32.00 ms²
  D) 56.57 ms²
  E) 160.00 ms²
  Show Answer
  The correct answer is C .
• Question 66: Evaluate (2.813 x 10^-3 x 1.063) (5.637 x 10^-2) Options:
  A) 0.056
  B) 0.055
  C) 0.054
  D) 0.54
  Show Answer
  The correct answer is B .
• Question 67: 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 68: If y varies directly as $\sqrt{n}$ and y = 4 when n = 4, find y when n = 1$\frac{7}{9}$ Options:
  A) $\sqrt{17}$
  B) $\frac{4}{3}$
  C) $\frac{8}{3}$
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is C .
• Question 69: 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 70:

  This table below gives the scores of a group of students in a Further Mathematics Test.

  Score	1	2	3	4	5	6	7
  Frequency	4	6	8	4	10	6	2

  Find the mode of the distribution.

  Options:
  A) 7
  B) 10
  C) 5
  D) 4
  Show Answer
  The correct answer is C .