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 1081:

  

  In the diagram above are two concentric circles of radii r and R respectively with center O. If r = ²/₃R, express the area of the shaded portion in terms of π and R

  Options:
  A) ²¹/₂₅πR²
  B) ⁹/₂₅πR²
  C) ²¹/₂₃πR²
  D) ⁵/₉πR²
  Show Answer
  The correct answer is D .
• Question 1082:

  

  The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY.

  Options:
  A) $\sqrt{630}$cm
  B) $\sqrt{626}$cm
  C) $\sqrt{615}$cm
  D) $\sqrt{600}$cm
  Show Answer
  The correct answer is B .
• Question 1083:

  

  The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 1 years old?

  Options:
  A) ²⁷/₄₀
  B) ¹⁷/₂₀
  C) ³/₃₀
  D) ³³/₄₀
  Show Answer
  The correct answer is B .
• Question 1084: Evaluate $\int$ sec²$\theta$ d $\theta$ Options:
  A) sec$\theta$ tan$\theta$ + k
  B) tan$\theta$ + k
  C) 2 sec$\theta$ + k
  D) sec$\theta$ + k
  Show Answer
  The correct answer is B .
• Question 1085: Integrate $\frac{1-x}{x^3}$ with respect to x Options:
  A) $\frac{x-x^2}{x^4}$ + k
  B) $\frac{4}{x^4}-\frac{3+k}{x^3}$
  C) $\frac{1}{x}-\frac{1}{2x^2}$ + k
  D) $\frac{1}{3x^2}-\frac{1}{2x}$ + k
  Show Answer
  The correct answer is C .
• Question 1086: Integrate $\frac{2x^3+2x}{x}$ with respect to x Options:
  A) $\frac{2x^3}{3}$ - 2x + k
  B) x³ + 2x + k
  C) $\frac{2x^3}{3}$ + 2x + k
  D) x³ - 2x + k
  Show Answer
  The correct answer is C .
• Question 1087: A worker's present salary is ₦24,000 per annum. His annual increment is 10% of his basic salary at the beginning of the third year? Options:
  A) ₦28,800
  B) ₦29,040
  C) ₦31,200
  D) ₦31,944
  Show Answer
  The correct answer is B .
• Question 1088:

  find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

  Options:
  A) $\frac{-2}{7}$
  B) $\frac{7}{6}$
  C) $\frac{-6}{7}$
  D) 2
  Show Answer
  The correct answer is D .
• Question 1089: The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is Options:
  A) $\frac{1}{2}$
  B) $\frac{2}{5}$
  C) $-\frac{4}{7}$
  D) $-\frac{2}{3}$
  Show Answer
  The correct answer is C .
• Question 1090:

  Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < $\frac{x+3}{x-1}$ < 2?

  Options:
  A) (a), (b), (c)
  B) (c)
  C) None of the choices
  D) All of the above
  Show Answer
  The correct answer is C .