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 1011: 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 .
• Question 1012: Simplify $\frac{1}{5x+5}$ + $\frac{1}{7x+7}$ Options:
  A) $\frac{12}{35x+1}$
  B) $\frac{1}{35(x+1)}$
  C) $\frac{12x}{35(x+7)}$
  D) $\frac{12}{35x+35}$
  Show Answer
  The correct answer is A .
• Question 1013: Factorize completely (x² + x)² - (2x + 2)² Options:
  A) (x + 1)(x + 2)(x - 2)
  B) (x + 1) 2(x + 2) (x - 2)
  C) (x + 1)² (x + 2)²
  D) (x + 1)² (x + 2)(x - 2)
  Show Answer
  The correct answer is D .
• Question 1014:

  P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

  Options:
  A) 6.5 units
  B) 13.0 units
  C) 3.5 units
  D) 7.0 units
  Show Answer
  The correct answer is A .
• Question 1015: If y varies inversely as x², how does x vary with y? Options:
  A) x varies inversely as y²
  B) x varies inversely as $\sqrt{y}$
  C) x varies directly as y²
  D) x varies directly as $\sqrt{y}$
  E) x varies directly as y
  Show Answer
  The correct answer is B .
• Question 1016: Simplify (216$\frac{1}{3}$)^-2 Options:
  A) $\frac{1}{36}$
  B) $\frac{1}{18}$
  C) $\frac{1}{13}$
  D) $\frac{1}{6}$
  E) $\frac{1}{3}$
  Show Answer
  The correct answer is A .
• Question 1017:

  Simplify $\sqrt{27}$ + $\frac{3}{\sqrt{3}}$

  Options:
  A) 4$\sqrt{3}$
  B) $\frac{4}{\sqrt{3}}$
  C) 3$\sqrt{3}$
  D) $\frac{\sqrt{3}}{4}$
  Show Answer
  The correct answer is A .
• Question 1018:

  

  Find the length XY in the triangle above.

  Options:
  A) √7 m
  B) √6 m
  C) √5 m
  D) √3 m
  Show Answer
  The correct answer is A .
• Question 1019: The number of telephone calls N between two cities A and B varies directly as the population P_A, P_B respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation? Options:
  A) N = $\frac{k{p}_A}{D^2}+c{p}_B{D}^2$
  B) N = $\frac{k{p}_A{P}_B}{D^2}$
  C) N = $\frac{k{D}_A{P}_D}{B^2}$
  D) N = $\frac{k{D}_A^2{P}_D}{B}$
  Show Answer
  The correct answer is B .
• Question 1020: If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio Options:
  A) -2
  B) -3
  C) -5
  D) 5
  Show Answer
  The correct answer is C .