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 41:

  If sin $\theta$ = $\frac{x}{y}$ and 0^o < 90^o, then find $\frac{1}{tan\theta }$.

  Options:
  A) $\frac{x}{\sqrt{y^2-x^2}}$
  B) $\frac{y}{x}$
  C) $\frac{\sqrt{y^2+x^2}}{y^2-x^2}$
  D) $\frac{y^2-x^2}{x}$
  Show Answer
  The correct answer is D .
• Question 42: A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height? Options:
  A) 9cm
  B) 65cm
  C) 42cm
  D) 7cm
  E) 6.5cm
  Show Answer
  The correct answer is D .
• Question 43:

  The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets ₦600 and Lawal ₦800. How old is Lawal?

  Options:
  A) 14 years
  B) 20 years
  C) 12 years
  D) 16 years
  Show Answer
  The correct answer is D .
• Question 44: Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now Options:
  A) $\frac{1}{12}$
  B) $\frac{6}{35}$
  C) $\frac{19}{300}$
  D) $\frac{7}{200}$
  E) $\frac{5}{100}$
  Show Answer
  The correct answer is D .
• Question 45: Evaluate ${\int }_1^2(x^2-4x)dx$ Options:
  A) $\frac{11}{3}$
  B) $\frac{3}{11}$
  C) $-\frac{3}{11}$
  D) $-\frac{11}{3}$
  Show Answer
  The correct answer is D .
• Question 46: If log₁₀² = 0.3010 and log₁₀³ = 0.4771, simplify: (Log₁₀⁸-log₉²) ÷ (Log₁₀⁹ - log₁₀²) Options:
  A) 4
  B) 3
  C) 0.0784
  D) -4
  E) -0.0784
  Show Answer
  The correct answer is E .
• Question 47:

  Approximate 0.9875 to 1 decimal place.

  Options:
  A) 1.1
  B) 1.0
  C) 0.9
  D) 0.10
  Show Answer
  The correct answer is B .
• Question 48: Simplify 1 - ($\frac{1}{7}$ x 3 $\frac{1}{2}$) $÷$ $\frac{3}{4}$ Options:
  A) 2
  B) $\frac{1}{3}$
  C) 1
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 49: Find P, if 451₆ - P₇ = 305₆ Options:
  A) 62₇
  B) 116₇
  C) 611₇
  D) 142₇
  Show Answer
  The correct answer is B .
• Question 50:

  A sector of circle of radius 7.2cm which substends an angle of 300${}^o$ at the centre is used to form a cone. What s the radius of the base of the cone?

  Options:
  A) 8cm
  B) 9cm
  C) 6cm
  D) 7cm
  Show Answer
  The correct answer is C .