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 1581: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 1582: Make F the subject of the formula t = $\sqrt{\frac{v}{\frac{1}{f}+\frac{1}{g}}}$ Options:
  A) $\frac{gv-t^2}{g{t}^2}$
  B) $\frac{g{t}^2}{gv-t^2}$
  C) $\frac{v}{\frac{1}{t^2}-\frac{1}{g}}$
  D) $\frac{gv}{t^2-g}$
  Show Answer
  The correct answer is B .
• Question 1583: A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder? Options:
  A) $\frac{44}{3}$$\pi$cm³
  B) 12$\pi$cm³
  C) $\frac{38}{3}$$\pi$cm³
  D) $\frac{40}{3}$$\pi$cm³
  E) $\frac{32}{33}$$\pi$cm³
  Show Answer
  The correct answer is A .
• Question 1584:

  Simplify 25${}^{\frac{1}{2}}$ × 8${}^{\frac{-2}{3}}$

  Options:
  A) 1$\frac{1}{4}$
  B) 2$\frac{1}{4}$
  C) 6
  D) 10
  Show Answer
  The correct answer is A .
• Question 1585: Simplify $\frac{x}{x+y}$ + $\frac{y}{x-y}$ - $\frac{x^2}{x^2-y^2}$ Options:
  A) $\frac{x}{x^2-y^2}$
  B) $\frac{y^2}{x^2-y^2}$
  C) $\frac{x^2}{x^2-y^2}$
  D) $\frac{y}{x^2-y^2}$
  Show Answer
  The correct answer is B .
• Question 1586: Quantities in the proportions 1, 4, 6, 7 are to be represented in a pie chart. Calculate the angle of the sector with proportion 7 Options:
  A) 20^o
  B) 80^o
  C) 120^o
  D) 140^o
  Show Answer
  The correct answer is D .
• Question 1587: One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{8}$
  C) $\frac{7}{24}$
  D) $\frac{1}{4}$
  E) $\frac{1}{24}$
  Show Answer
  The correct answer is D .
• Question 1588:

  The second term of a geometric series is ${}^{-2}{/}_3$ and its sum to infinity is ${}^3{/}_2$. Find its common ratio.

  Options:
  A) ${}^{-1}{/}_3$
  B) 2
  C) ${}^4{/}_3$
  D) ${}^2{/}_9$
  Show Answer
  The correct answer is A .
• Question 1589:

  

  In the figure, the area of the square of the square PQRS is 100cm². If the ratio of the area of the square TUYS to the area of the area of the square XQVU is 1 : 16, Find YR

  Options:
  A) 6cm
  B) 7cm
  C) 8cm
  D) 9cm
  Show Answer
  The correct answer is C .
• Question 1590: In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart Options:
  A) 30^o
  B) 60^o
  C) 112.5^o
  D) 157.5^o
  Show Answer
  The correct answer is D .