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 1721: A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is ²/₃, find the value of x Options:
  A) 8
  B) 10
  C) 4
  D) 6
  Show Answer
  The correct answer is D .
• Question 1722: A solid cylinder of radius 3cm has a total surface area of 36$\pi$cm². Find its height Options:
  A) 2cm
  B) 3cm
  C) 4cm
  D) 5cm
  E) 6cm
  Show Answer
  The correct answer is B .
• Question 1723:

  Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

  Options:
  A) 24°
  B) 56°
  C) 127°
  D) 156°
  Show Answer
  The correct answer is D .
• Question 1724: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 1725: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 1726: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 1727: 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 1728: If cot$\theta$ = $\frac{8}{15}$, where $\theta$ is acute, find sin$\theta$ Options:
  A) $\frac{8}{17}$
  B) $\frac{15}{17}$
  C) $\frac{16}{17}$
  D) $\frac{13}{17}$
  Show Answer
  The correct answer is B .
• Question 1729: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 1730:

  Simplify and express in standard form $\frac{0.00275\times 0.00640}{0.025\times 0.08}$

  Options:
  A) 8.8 x 10^-1
  B) 8.8 x 10^-2
  C) 8.8 x 10^-3
  D) 8.8 x 10³
  Show Answer
  The correct answer is C .