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 421:

  Given that $p=1+\sqrt{2}$ and $q=1-\sqrt{2},$ evaluate $\frac{(p^2-q^2)}{2pq}$.

  Options:
  A) 2(2+√2)
  B) -2(2+√2)
  C) 2√2
  D) -2√2
  Show Answer
  The correct answer is D .
• Question 422:

  Evaluate $\frac{(\frac{3}{8}÷\frac{1}{2}+\frac{1}{2})}{(\frac{1}{8}\times \frac{2}{3}+\frac{1}{3})}$

  Options:
  A) ¹/₄
  B) ¹/₃
  C) ¹/₂
  D) 3
  Show Answer
  The correct answer is D .
• Question 423: 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 424: The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm², then the radius of the ball is Options:
  A) $\frac{2P}{\pi }$
  B) $\frac{P}{\sqrt{\pi }}$
  C) $\frac{P}{\sqrt{2\pi }}$
  D) 2$\frac{P}{\pi }$
  Show Answer
  The correct answer is D .
• Question 425: Simplify $\frac{(2m-u{)}^2-(m-2u{)}^2}{5m^2-5u^2}$ Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{2m-u}{5m+u}$
  D) $\frac{m-2u}{m+5u}$
  Show Answer
  The correct answer is A .
• Question 426: 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 427: What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm? Options:
  A) 312cm${}^2$
  B) 96cm${}^2$
  C) 36cm${}^2$
  D) 24cm${}^2$
  E) 12cm${}^2$
  Show Answer
  The correct answer is A .
• Question 428:

  Find the missing numerator $\frac{5}{x+1}$ - $\frac{3}{1-x}$ - $\frac{7x-1}{x^2-1}$ = x + 1

  Options:
  A) -1
  B) x - 1
  C) $\frac{3(1-5x)}{x-1}$
  D) $\frac{1}{(x+1)}$
  E) 3(1 - 5x)
  Show Answer
  The correct answer is D .
• Question 429:

  

  The graph is shown is correctly represented by

  Options:
  A) y = x² - x - 2
  B) y = x² - 3x + 2
  C) y = x² - x - 1
  D) y = x² + x - 2
  Show Answer
  The correct answer is A .
• Question 430:

  Evaluate (0.14² x 0.275) ÷ 7(0.02) to 3 decimal places.

  Options:
  A) 0.039
  B) 0.358
  C) 0.033
  D) 0.308
  Show Answer
  The correct answer is A .