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 1: y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10. Options:
  A) 2
  B) 10
  C) 1/5
  D) 1/10
  Show Answer
  The correct answer is C .
• Question 2: If cos$\theta$ = $\frac{a}{b}$, find 1 + tan²$\theta$ Options:
  A) $\frac{b^2}{a^2}$
  B) $\frac{a^2}{b^2}$
  C) $\frac{a^2+b^2}{b^2-a^2}$
  D) $\frac{2a^2+b^2}{a^2+b^2}$
  Show Answer
  The correct answer is A .
• Question 3:

  

  Using $△$XYZ in the figure, find XYZ.

  Options:
  A) 29${}^{\circ }$
  B) 31${}^{\circ }$
  C) 31${}^{\circ }$ 20'
  D) 31${}^{\circ }$ 18'
  Show Answer
  The correct answer is D .
• Question 4:

  Find the derivative of y = ( $\frac{1}{3}$x + 6)

  Options:
  A) 2( $\frac{1}{3}$x + 6
  B) $\frac{2}{3}$ ( $\frac{1}{3}$x + 6)
  C) $\frac{2}{3}$ ( $\frac{1}{3}$x + 6)²
  D) $\frac{1}{3}$ ( $\frac{1}{3}$x + 6)²
  Show Answer
  The correct answer is B .
• Question 5: Find the sum to infinity to the following series 3 + 2 + $\frac{4}{3}$ + $\frac{8}{9}$ + $\frac{16}{17}$ + ..... Options:
  A) 1270
  B) 190
  C) 18
  D) 9
  Show Answer
  The correct answer is D .
• Question 6:

  Find p in terms of q if log₃ p + 3 log₃ q = 3

  Options:
  A) ($\frac{3}{q}$)³
  B) ($\frac{q}{3}$)^{$\frac{1}{3}$}
  C) ($\frac{q}{3}$)³
  D) ($\frac{3}{q}$)^{$\frac{1}{3}$}
  Show Answer
  The correct answer is A .
• Question 7: If y = 2x³ + 6x² + 6x + 1, Find $\frac{dy}{dx}$ Options:
  A) 6x² + 12x + 1
  B) 6x² + 6x + 1
  C) 6x² + 6x + 6
  D) 6x² + 12x + 6
  Show Answer
  The correct answer is D .
• Question 8:

  Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

  Options:
  A) 4.46
  B) 4.48
  C) 4.47
  D) 4.49
  E) 4.50
  Show Answer
  The correct answer is C .
• Question 9:

  Find the total surface area of a cylinder of base radius 5cm and length 7cm (π = 3.14)

  Options:
  A) 219.9cm²
  B) 157.1cm²
  C) 377.0cm²
  D) 298.7cm²
  Show Answer
  The correct answer is C .
• Question 10: Differentiate $\frac{x}{cosx}$ with respect to x Options:
  A) 1 + x sec x tan x
  B) 1 + sec² x
  C) cos x + x tan x
  D) x sec x tan x + secx
  Show Answer
  The correct answer is D .