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 1021: Simplify $\frac{1}{\sqrt{3}+2}$ in the form $a+b\sqrt{3}$ Options:
  A) 2 -√3
  B) -2 - √3
  C) 2 + √3
  D) -2 + √3
  Show Answer
  The correct answer is A .
• Question 1022:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 1023: Find ($\frac{1}{0.06}÷\frac{1}{0.042}$)^-1 Options:
  A) 1.43
  B) 1.53
  C) 3.14
  D) 4.42
  Show Answer
  The correct answer is A .
• Question 1024:

  

  Find the value of $\theta$ in the diagram

  Options:
  A) 60${}^{\circ }$
  B) 100${}^{\circ }$
  C) 120${}^{\circ }$
  D) 30${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1025: The locus of a point which is 5 cm from the line LM is a Options:
  A) line distance 10 cm from LM and parallel to LM
  B) pair of line on opposite sides of LM and parallel to it, each distance 5 cm from LM
  C) line parallel to LM and 5 cm from LM
  D) pair of parallel lines on one side of LM and parallel to LM
  Show Answer
  The correct answer is B .
• Question 1026: Divide the LCM of 15abc and 20a²bc by their HCF Options:
  A) 10a
  B) 12a
  C) 5abc
  D) 12a²bc
  E) 60a²bc
  Show Answer
  The correct answer is B .
• Question 1027: Rationalize the expression $\frac{1}{\sqrt{2}+\sqrt{5}}$ Options:
  A) $\frac{1}{3}$($\sqrt{5}-\sqrt{2}$
  B) $\frac{\sqrt{2}}{3}$ + $\frac{\sqrt{5}}{5}$
  C) $\sqrt{2}-\sqrt{5}$
  D) 5($\sqrt{2}-\sqrt{5}$
  E) $\frac{1}{3}$($\sqrt{2}-\sqrt{5}$
  Show Answer
  The correct answer is A .
• Question 1028: Find the value of x for which 2(3^{2x - 1}) = 162 Options:
  A) $\frac{3}{2}$
  B) $\frac{1}{2}$
  C) $\frac{5}{2}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is C .
• Question 1029: 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 1030: 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 .