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 741: 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 742:

  

  The pie chart shows the distribution of courses offered by students. What percentage of the students offer English?

  Options:
  A) 30%
  B) 25%
  C) 35%
  D) 20%
  Show Answer
  The correct answer is B .
• Question 743: Simplify $\frac{a-b}{a+b}$ - $\frac{a+b}{a-b}$ Options:
  A) $\frac{4ab}{a-b}$
  B) $\frac{-4ab}{a^2-b^2}$
  C) $\frac{-4ab}{a^{-2}-b}$
  D) $\frac{4ab}{a^{-2}-b^{-2}}$
  Show Answer
  The correct answer is B .
• Question 744: Simplify $\frac{3^n-3^{n-1}}{3^3\times 3^n-27\times 3^{n-1}}$ Options:
  A) 1
  B) 6
  C) $\frac{1}{27}$
  D) $\frac{4}{3}$
  Show Answer
  The correct answer is C .
• Question 745: Simplify $\frac{\sqrt{1+x}+\sqrt{x}}{\sqrt{1+x}-\sqrt{x}}$ Options:
  A) -2x - 2$\sqrt{x(1+x)}$
  B) 1 + 2x + 2$\sqrt{x(1+x)}$
  C) $\sqrt{x(1+x)}$
  D) 1 + 2x - 2$\sqrt{x(1+x)}$
  Show Answer
  The correct answer is B .
• Question 746:

  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

  Calculate the mean deviation for the distribution

  Options:
  A) 4.32
  B) 2.81
  C) 1.51
  D) 3.90
  Show Answer
  The correct answer is C .
• Question 747: Factorize completely ac - 2bc - a + 4b² Options:
  A) (a - 2b)(c - a - 2b)
  B) (a - 2b)(c + a +2b)
  C) (a - 2b)(c - a + 2b)
  D) (a - 2b)(c + a - 2b)
  Show Answer
  The correct answer is A .
• Question 748: 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 749:

  

  In the diagram, O is the centre of the circle. If SOQ is a diameter and < PRS is 38${}^{\circ }$, what is the value of < PSQ

  Options:
  A) 148${}^{\circ }$
  B) 104${}^{\circ }$
  C) 80${}^{\circ }$
  D) 52${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 750: Evaluate $\int (2x+3{)}^{\frac{1}{2}}\delta x$ Options:
  A) $\frac{1}{12}(2x+3{)}^6+k$
  B) $\frac{1}{3}(2x+3{)}^{\frac{1}{2}}+k$
  C) $\frac{1}{3}(2x+3{)}^{\frac{3}{2}}+k$
  D) $\frac{1}{12}(2x+3{)}^{\frac{3}{4}}+k$
  Show Answer
  The correct answer is C .