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 2301:

  The probability of an outcome A is 1/6. The probability of the B outcome is 1/4. If the probability of A or B or both is 1/12, what is the probability of both outcomes A and B?

  Options:
  A) 1/2
  B) 1/3
  C) 2/5
  D) 3/4
  Show Answer
  The correct answer is B .
• Question 2302: If $x=\frac{y}{2}$,evaluate$(\frac{x^3}{y^3}+\frac{1}{2})÷(\frac{1}{2}-\frac{x^2}{y^2})$ Options:
  A) 5/8
  B) 5/2
  C) 5/4
  D) 5/16
  Show Answer
  The correct answer is B .
• Question 2303: Factorize a²x - b²y - b²x + a²y Options:
  A) (a - b)(x + y)
  B) (y - x)(a - b)(a + b)
  C) (x - y)(a - b)(a + b)
  D) (x + y)(a - b)(a + b)
  Show Answer
  The correct answer is D .
• Question 2304: 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 2305: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 2306: If 9x² + 6xy + 4y² is a factor of 27x³ - 8y³, find the other factor. Options:
  A) 2y + 3x
  B) 2y - 3x
  C) 3x + 2y
  D) 3x - 2y
  Show Answer
  The correct answer is D .
• Question 2307: Convert 101.011₂ to base 10 Options:
  A) 63
  B) 43
  C) 10
  D) $\frac{77}{8}$
  E) $\frac{53}{8}$
  Show Answer
  The correct answer is E .
• Question 2308:

  

  The diagram is a circle with centre O. Find the area of the shaded portion.

  Options:
  A) 9($\pi -2)c{m}^2$
  B) 18$\pi c{m}^2$
  C) 9$\pi c{m}^2$
  D) 36$\pi c{m}^2$
  Show Answer
  The correct answer is A .
• Question 2309: The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is Options:
  A) $\frac{x}{y}$
  B) $\frac{y}{x}$
  C) ($\frac{x}{y}$)^{$\frac{1}{n-2}$}
  D) ($\frac{y}{x}$)^{$\frac{1}{n-2}$}
  Show Answer
  The correct answer is D .
• Question 2310: A cone is formed by bending a sector of a circle Saving an angle or 210°. Find the radius of the base of the cone. If the diameter of the circle is 12cm. Options:
  A) 7.00cm
  B) 1.75cm
  C) 21cm
  D) 3.50cm
  E) 2.21cm
  Show Answer
  The correct answer is D .