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 1031: If r varies inversely as the square root of s and t, how does s vary with r and t? Options:
  A) s varies inversely as r and t²
  B) s varies inverely as r² and t
  C) s varies directly as r² and t²
  D) s varies directly as r and t
  Show Answer
  The correct answer is B .
• Question 1032: If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = is odd. Find (E ∩ F), where means x 1x² = 2⁶, x the complement of a set Options:
  A) (0)
  B) U
  C) (8)
  D) $\varphi$
  Show Answer
  The correct answer is D .
• Question 1033: In the equation below, Solve for x if all the numbers are in base 2: $\frac{11}{x}$ = $\frac{1000}{x+101}$ Options:
  A) 101
  B) 11
  C) 110
  D) 111
  E) 10
  Show Answer
  The correct answer is B .
• Question 1034: If b = a + cp and r = ab + $\frac{1}{2}$cp², express b² in terms of a, c, r. Options:
  A) b² = aV + 2cr
  B) b² = ar + 2c²r
  C) b² = a² = $\frac{1}{2}$ cr²
  D) b² = $\frac{1}{2}$ar² + c
  E) b² = 2cr - a²
  Show Answer
  The correct answer is E .
• Question 1035: An $(n-2{)}^2$ sided figure has n diagonals, find the number n of diagonals for a 25 sided figure Options:
  A) 8
  B) 7
  C) 6
  D) 9
  E) 10
  Show Answer
  The correct answer is B .
• Question 1036: If y = x sin x, find $\frac{\delta y}{\delta x}$ Options:
  A) sin x - cos x
  B) cos x - x sin x
  C) cos x + x sin x
  D) sin x + x cos x
  Show Answer
  The correct answer is D .
• Question 1037: Find correct to one decimal place, 0.24633 $÷$ 0.0306 Options:
  A) 0.8
  B) 1.8
  C) 8.0
  D) 8.1
  Show Answer
  The correct answer is D .
• Question 1038: If b³ = a^-2 and c^{$\frac{1}{3}$} = a^{$\frac{1}{2}$}b, express c in terms of a Options:
  A) a^{-$\frac{1}{2}$}
  B) a^{$\frac{1}{3}$}
  C) a^{$\frac{3}{2}$}
  D) a^{$\frac{2}{3}$}
  Show Answer
  The correct answer is A .
• Question 1039:

  Factorize 4a${}^2$ - 9b${}^2$

  Options:
  A) (2a-3b) (2a+3b)
  B) (2a-b) (2a+3b)
  C) (2a-3b) (a+3b)
  D) (a-3b) (a+3b)
  Show Answer
  The correct answer is A .
• Question 1040: If 5^{(x + 2y)} = 5 and 4^{(x + 3y)} = 16, find 3^{(x + y)} Options:
  A) 7
  B) 1
  C) 3
  D) 27
  Show Answer
  The correct answer is B .