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 121: If U = {x : x is an integer and 1 $\le$ x $\le$ 20
  E₁ = {x : x is a multiple of 3}
  E₂ = {x : x is a multiple of 4}
  and an integer is picked at random from U, find the probability that it is not in E₂ Options:
  A) 3/4
  B) 3/10
  C) 1/4
  D) 1/20
  Show Answer
  The correct answer is A .
• Question 122: Make y the subject of the formula Z = x² + $\frac{1}{y^3}$ Options:
  A) y = $\frac{1}{(z-x^2{)}^3}$
  B) y = $\frac{1}{(z+x^2)\frac{1}{3}}$
  C) y = $\frac{1}{(z{x}^2)\frac{1}{3}}$
  D) y = $3\sqrt{z-x^2}$
  Show Answer
  The correct answer is D .
• Question 123:

  

  If PN is perpendicular to QR, find the value of tan x.

  Options:
  A) $\frac{5}{9}$
  B) $\frac{3}{5}$
  C) $\frac{3}{4}$
  D) $\frac{4}{3}$
  E) $\frac{5}{3}$
  Show Answer
  The correct answer is B .
• Question 124: Factorize 4a² - 12ab - C² + 9b² Options:
  A) 4a(a - 3b) + (3b - c)²
  B) (2a + 3b - c)(2a + 3b + c)
  C) (2a - 3b + c)(2a - 3b - c)
  D) 4a(a - 3b) + (3b + c)
  Show Answer
  The correct answer is C .
• Question 125: What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is

  2

  3

  ? Options:
  A) -2
  B) -1
  C) 1
  D) 2
  Show Answer
  The correct answer is D .
• Question 126: 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 127:

  If 2${}^{x+y}$ = 16 and 4${}^{x-y}=\frac{1}{32}$, find the values of x and y.

  Options:
  A) x = $\frac{3}{4}$, y = $\frac{11}{4}$
  B) x = $\frac{3}{4}$, y = $\frac{13}{4}$
  C) x = $\frac{2}{3}$, y = $\frac{4}{5}$
  D) x = $\frac{2}{3}$, y = $\frac{13}{4}$
  Show Answer
  The correct answer is B .
• Question 128: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 129: A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45 degrees. if the distance between the hunter and the tree is 10.4 m, find the height of the tree. Options:
  A) 9.0 m
  B) 12. 0 m
  C) 8.8 m
  D) 10.4 m
  Show Answer
  The correct answer is B .
• Question 130:
  

  A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm${}^2$, find the distance between the parallel sides

  Options:
  A) 13 cm
  B) 4 cm
  C) 6 cm
  D) 7 cm
  Show Answer
  The correct answer is A .