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 301: A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively? Options:
  A) 5kg
  B) 16kg
  C) 19kg
  D) 6kg
  Show Answer
  The correct answer is A .
• Question 302:

  Simplify $\frac{3}{5}$ $÷$ ($\frac{2}{7}$ x $\frac{4}{3}$ $÷$ $\frac{4}{9}$)

  Options:
  A) $\frac{6}{7}$
  B) $\frac{4}{5}$
  C) $\frac{7}{10}$
  D) $\frac{21}{6}$
  Show Answer
  The correct answer is C .
• Question 303: Multiply (x + 3y + 5) by (2x² + 5y + 2) Options:
  A) 2x² + 3yx² + 10xy + 15y² + 13y + 10x² + 2x + 10
  B) 2x³ + 6yx² + 5xy + 5y² + 31y + 5x² + 2x + 10
  C) 2x³ + 6xy² + 5xy + 15y² + 12y + 10x² + 2x = 10
  D) 2x² + 6xy² + 5xy + 15y² + 13y + 10x² + 2x + 10
  E) 2x³ + 2yx² + 10xy + 10y² + 31y + 5x² + 10
  Show Answer
  The correct answer is B .
• Question 304:
  

  Find the value of x in the diagram above

  Options:
  A) 10 units
  B) 15 units
  C) 5 units
  D) 20 units
  Show Answer
  The correct answer is A .
• Question 305: Simplify $\frac{4a^2-49b^2}{2a^2-5ab-7b^2}$ Options:
  A) $\frac{a-b}{2a+b}$
  B) $\frac{2a+7b}{a-b}$
  C) $\frac{2a-7b}{a+b}$
  D) $\frac{2a-7b}{a-b}$
  Show Answer
  The correct answer is D .
• Question 306: After getting a rise of 15%, a man's new monthly salary is ₦345. How much per month did he earn before the increase? Options:
  A) ₦330
  B) n396.75
  C) ₦300
  D) ₦293.25
  E) ₦360
  Show Answer
  The correct answer is C .
• Question 307: Write h in terms of a, b, c, d if a = $\frac{b(1-ch)}{a-dh}$ Options:
  A) h = $\frac{a-b}{ad}$
  B) h = $\frac{1-b}{ad-bc}$
  C) h = $\frac{(a-b{)}^2}{ad-bc}$
  D) h = $\frac{a-b}{ad-bc}$
  E) h = $\frac{b-a}{ab-dc}$
  Show Answer
  The correct answer is D .
• Question 308: If S = $\sqrt{t^2-4t+4}$, find t in terms of S Options:
  A) S² - 2
  B) S + 2
  C) S - 2
  D) S² + 2
  Show Answer
  The correct answer is B .
• Question 309:

  Given that I₃ is a unit matrix of order 3, find |I₃|

  Options:
  A) -1
  B) 0
  C) 1
  D) 2
  Show Answer
  The correct answer is C .
• Question 310: If y = 2x² + 9x - 35. Find the range of values for which y < 0. Options:
  A) 7 < x < $\frac{5}{2}$
  B) -5 < 7 < x
  C) -7 < x < 5
  D) -7 < x < $\frac{5}{2}$
  Show Answer
  The correct answer is D .