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 641:

  If the volume of a frustrum is given as $V=\frac{\pi h}{3}(R^2+Rr+r^2)$, find $\frac{\mathrm{d}V}{\mathrm{d}R}$.

  Options:
  A) $\frac{\pi h}{3}(2R+r)$
  B) $2R+r+\frac{\pi h}{3}$
  C) $\frac{\pi h}{3}(2R^2+r+2r)$
  D) $\frac{2R^2}{3}\pi h$
  Show Answer
  The correct answer is A .
• Question 642: An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs ₦2.00 to paint one square meter Options:
  A) ₦96.00
  B) ₦112.00
  C) ₦136.00
  D) ₦160.00
  Show Answer
  The correct answer is B .
• Question 643: 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 644:

  At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?

  Options:
  A) $\frac{1}{2}$%
  B) 2$\frac{1}{2}$%
  C) 1.5%
  D) 25%
  Show Answer
  The correct answer is C .
• Question 645: A binary operation $\oplus$ is defines on the set of all positive integers by a $\oplus$ b = ab for all positive integers a, b. Which of the following properties does NOT hold? Options:
  A) closure
  B) identity
  C) positive
  D) inverse
  Show Answer
  The correct answer is D .
• Question 646:

  

  In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35^o, find ∠BAO.

  Options:
  A) 20^o
  B) 25^o
  C) 30^o
  D) 35^o
  E) 40^o
  Show Answer
  The correct answer is A .
• Question 647: Simplify $\frac{x-y}{x^{\frac{1}{3}}-x^{\frac{1}{3}}}$ Options:
  A) x² + xy + y²
  B) x^{$\frac{2}{3}$} + x ^{$\frac{1}{3}$} + y^{$\frac{2}{3}$}
  C) x^{$\frac{2}{3}$} - x^{$\frac{1}{3}$}y^{$\frac{2}{3}$}
  D) y^{$\frac{2}{3}$}
  Show Answer
  The correct answer is B .
• Question 648: Which of the following is NOT a factor of 12⁴ - 5⁴? Options:
  A) 7
  B) 13
  C) 17
  D) 49
  E) 169
  Show Answer
  The correct answer is D .
• Question 649: Find the sum to infinity of the series $2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......$ Options:
  A) 1
  B) 2
  C) 8
  D) 4
  Show Answer
  The correct answer is C .
• Question 650: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .