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 1491: Simplify $\frac{1-x^2}{x-x^2}$, where x $\ne$ 0 Options:
  A) $\frac{1}{x}$
  B) $\frac{1-x}{x}$
  C) $\frac{1+x}{x}$
  D) $\frac{1}{x-1}$
  E) $\frac{-x-1}{1}$
  Show Answer
  The correct answer is C .
• Question 1492: Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y) Options:
  A) 14
  B) 12
  C) 10
  D) -10
  E) -12
  Show Answer
  The correct answer is D .
• Question 1493: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1494: The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1 Options:
  A) 9
  B) - 9
  C) 6
  D) - 6
  Show Answer
  The correct answer is C .
• Question 1495: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 1496: Evaluate ${\int }_1^2(6x^2-2x)dx$ Options:
  A) 16
  B) 13
  C) 12
  D) 11
  Show Answer
  The correct answer is D .
• Question 1497: A chord 20cm long subtends an angle of 60° at the circumference of a circle, what is the diameter of the circle the nearest cm? Options:
  A) 12cm
  B) 20cm
  C) 23cm
  D) 60cm
  E) 80cm
  Show Answer
  The correct answer is C .
• Question 1498: 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 1499: The factors of 6x - 5 - x² are Options:
  A) -(x + 3)(x + 2)
  B) (x + 5)(x + 1)
  C) (x - 5)(1 - x)
  D) (x + 5)(x + 50
  Show Answer
  The correct answer is C .
• Question 1500:

  If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

  Options:
  A) 10
  B) 30
  C) 15
  D) 40
  Show Answer
  The correct answer is A .