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 601: 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 602:

  

  In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

  Options:
  A) 60cm²
  B) 65cm²
  C) 72cm²
  D) 144cm²
  E) 156cm²
  Show Answer
  The correct answer is D .
• Question 603:

  

  Find the value of x in the figure above

  Options:
  A) 15√6
  B) 20√6
  C) 3√6
  D) 5√6
  Show Answer
  The correct answer is D .
• Question 604: Simplify $\frac{1-x^2}{x-x^2}$, where x $\ne$ 0 Options:
  A) $\frac{1}{x}$
  B) $\frac{1-x}{x}$
  C) $\frac{1+x}{x}$
  D) $\frac{1}{x-1}$
  E) $\frac{-x-1}{1}$
  Show Answer
  The correct answer is C .
• Question 605:

  

  The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume

  Options:
  A) 120m²
  B) 576m³
  C) 816m³
  D) 1056m³
  Show Answer
  The correct answer is C .
• Question 606:

  

  If O is the centre of the circle in the figure, find the value of x

  Options:
  A) 50
  B) 260
  C) 100
  D) 65
  E) 130
  Show Answer
  The correct answer is C .
• Question 607:

  In how many ways can 2 students be selected from a group of 5 students in a debating competition?

  Options:
  A) 25 ways
  B) 10 ways
  C) 15 ways
  D) 20 ways
  Show Answer
  The correct answer is B .
• Question 608: $\left(\begin{array}{cc}-2& 1\\ 2& 3\end{array}\right)$ + $\left(\begin{array}{cc}p& q\\ r& s\end{array}\right)$ = $\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$. What is the value of r? Options:
  A) -$\frac{1}{8}$
  B) $\frac{3}{8}$
  C) $\frac{5}{8}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is D .
• Question 609: Musa borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months. How much does he still owe Options:
  A) ₦10.80
  B) ₦10.67
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .
• Question 610: A die has four of it's faces coloured white and the remaining two coloured black. What is the probability that when the die is thrown two consecutive time, the top face will be white in both cases? Options:
  A) $\frac{2}{3}$
  B) $\frac{1}{9}$
  C) $\frac{4}{9}$
  D) $\frac{1}{36}$
  Show Answer
  The correct answer is C .