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 2561: Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X? Options:
  A) 51$\frac{3}{7}$km per hour
  B) 72km per hour
  C) 37$\frac{1}{2}$ km per hour
  D) 66km per hour
  E) 75km per hour
  Show Answer
  The correct answer is B .
• Question 2562:

  

  In the diagram are two concentric circles of radii r and R respectively with centre O. If r = $\frac{2}{5}$R, express the area of the shaded portion in terms of $\pi$ and R

  Options:
  A) $\frac{5}{9}\pi R^2$
  B) $\frac{21}{25}\pi R^2$
  C) $\frac{21}{23}\pi R^2$
  D) $\frac{9}{25}\pi R^2$
  Show Answer
  The correct answer is B .
• Question 2563: If A = $\frac{1}{2}$h (a + b), make ‘a’ the subject of the formula Options:
  A) (2A – 2bh) ÷ b
  B) (2A – bh) ÷ h
  C) (2A – bh) ÷ b
  D) (A – 2bh) ÷ h
  E) (2A – h) ÷ bh
  Show Answer
  The correct answer is B .
• Question 2564:

  Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

  Options:
  A) x = 3 or 7, y = 12 or 8
  B) x = 6 or 1, y = 11 or 5
  C) x = 2 or 5, y = 15 or 6
  D) x = 1 or 5, y = 10 or 7
  Show Answer
  The correct answer is C .
• Question 2565: 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 2566:

  Divide 1101001${}_{two}$ by 101${}_{two}$

  Options:
  A) 11101${}_{two}$
  B) 111${}_{two}$
  C) 10111${}_{two}$
  D) 10101${}_{two}$
  Show Answer
  The correct answer is D .
• Question 2567: Convert 241 in base 5 to base 8, Options:
  A) 71₈
  B) 107₈
  C) 176₈
  D) 241₈
  Show Answer
  The correct answer is B .
• Question 2568: A banking recipe calls for 2.5kg of sugar and 4.5kg of flour. With this recipe some cakes were baked Using 24.5kg of a mixture of sugar and flour. How much sugar was used? Options:
  A) 12.25kg
  B) 6.75kg
  C) 8.75kg
  D) 15.75kg
  E) 8.25kg
  Show Answer
  The correct answer is C .
• Question 2569: A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly Options:
  A) 378 ways
  B) 462 ways
  C) 840 ways
  D) 924 ways
  Show Answer
  The correct answer is A .
• Question 2570:

  A poultry farmer realized 200 eggs from his birds and sold 5 $\frac{1}{2}$ crates of eggs. What percentages of eggs are left?

  Options:
  A) 82.5%
  B) 15%
  C) 17.5%
  D) 85%
  Show Answer
  The correct answer is C .