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 21:

  The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm${}^3$, then the volume of the other block is?

  Options:
  A) 234.00 cm³
  B) 526.50 cm³
  C) 166.00 cm³
  D) 687cm³
  Show Answer
  The correct answer is A .
• Question 22: If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W? Options:
  A) The perpendicular bisector of UV
  B) A circle with UV as radius
  C) A line parallel to the line UV
  D) A circle with the line UV as the diameter
  Show Answer
  The correct answer is D .
• Question 23: If (25)^{x - 1} = 64($\frac{5}{2}$)⁶, then x has the value Options:
  A) 7
  B) 4
  C) 32
  D) 64
  E) 5
  Show Answer
  The correct answer is B .
• Question 24: If temperature t is directly proportional to heat h, and when t = 20^oC, h = 50 J, find t when h = 60J Options:
  A) 24^oC
  B) 20^oC
  C) 34^oC
  D) 30^oC
  Show Answer
  The correct answer is A .
• Question 25: If the minimum value of y = 1 + hx - 3x² is 13, find h. Options:
  A) 13
  B) 12
  C) 11
  D) 10
  Show Answer
  The correct answer is B .
• Question 26: Solve the inequality (x - 3)(x - 4) $\le$ 0
  Options:
  A) 3 $\le$ x $\le$ 4
  B) 3 < x < 4
  C) 3 $\le$ x < 4
  D) 3 < x $\le$ 4
  Show Answer
  The correct answer is A .
• Question 27:

  Evaluate $\frac{0.8\times 0.43\times 0.031}{0.05\times 0.72\times 0.021}$ correct to four significant figures.

  Options:
  A) 14.09
  B) 14.1
  C) 14.12
  D) 14.11
  Show Answer
  The correct answer is D .
• Question 28: What is the size of each interior angle of a 12-sided regular polygon? Options:
  A) 120^o
  B) 150^o
  C) 30^o
  D) 180^o
  Show Answer
  The correct answer is B .
• Question 29:

  Find the range of values of x which satisfies the inequality 12x² < x + 1.

  Options:
  A) -$\frac{1}{4}$ < x < $\frac{1}{3}$
  B) $\frac{1}{4}$ < x < -$\frac{1}{3}$
  C) -$\frac{1}{3}$ < x < $\frac{1}{4}$
  D) -$\frac{1}{4}$ < x < - $\frac{1}{3}$
  Show Answer
  The correct answer is A .
• Question 30: 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 .