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: A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60^o to the vertical? Options:
  A) It does not rise
  B) 2$\sqrt{3}$ meters
  C) 3 meters
  D) 1 meters
  E) 3
  Show Answer
  The correct answer is D .
• Question 32: 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 33: A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number Options:
  A) $\frac{5}{11}$
  B) $\frac{1}{2}$
  C) $\frac{6}{11}$
  D) $\frac{7}{10}$
  Show Answer
  The correct answer is C .
• Question 34: The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{4}$
  C) 4
  D) 25
  Show Answer
  The correct answer is C .
• Question 35: Simplify $\frac{\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ - $\frac{3-2}{\sqrt{3}+\sqrt{2}}$ Options:
  A) 2$\sqrt{2}-\sqrt{3}$
  B) 3($\sqrt{6}$ - 1)
  C) $\sqrt{6}$ - 3
  D) -$\frac{1}{2}$
  E) $\frac{-\sqrt{3}}{\sqrt{2}-\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 36: If a{$\frac{x+1}{x-2}-\frac{x-1}{x+2}$} = 6x. Find a in its simplest form Options:
  A) x² - 1
  B) x² + 1
  C) x² + 4
  D) x² - 4
  E) 1
  Show Answer
  The correct answer is D .
• Question 37: A chord of a circle of a diameter 42cm subtends an angle of 60^o at the centre of the circle. Find the length of the mirror arc Options:
  A) 22cm
  B) 44cm
  C) 110cm
  D) 220cm
  Show Answer
  The correct answer is A .
• Question 38:

  The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?

  $\begin{array}{cc}Score(n)& Frequency(f)\\ 3& 30\\ 4& 32\\ 5& 30\\ 6& 35\\ 8& 20\end{array}$

  Options:
  A) 30
  B) 32
  C) 55
  D) 62
  E) 92
  Show Answer
  The correct answer is E .
• Question 39:

  A man invested a sum of ₦280.00 partly at 5% and partly at 4%. if the total interest is ₦12.90 per annum, find the amount invested at 5%.

  Options:
  A) 14.00
  B) 120.00
  C) 140.00
  D) 160.00
  Show Answer
  The correct answer is D .
• Question 40:

  Express $16.54\times {10}^{-5}-6.76\times {10}^{-8}+0.23\times {10}^{-6}$ in standard form.

  Options:
  A) 1.66 x 10${}^{-4}$
  B) 1.66 x 10${}^{-5}$
  C) 1.65 x 10${}^{-5}$
  D) 1.65 x 10${}^{-4}$
  Show Answer
  The correct answer is A .