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 11: Solve the quadratic inequality x² - 5x + 6 $\ge$ 0 Options:
  A) x $\le$ 2, x $\ge$ 3
  B) x $\le$ 3, x $\ge$ 2
  C) x $\le$ -2, x $\ge$ -3
  D) x $\le$ -3,x $\ge$ 2
  Show Answer
  The correct answer is A .
• Question 12:

  A room is12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

  Options:
  A) $\frac{15}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 13:

  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 14: Find a factor which is common to all three binomial expressions 4a² - 9b², 8a³ + 27b³, (4a + 6b)² Options:
  A) 4a + 6b
  B) 4a - 6b
  C) 2a + 3b
  D) 2a - 3b
  E) none
  Show Answer
  The correct answer is C .
• Question 15: Find $\frac{dy}{dx}$, if y = $\frac{2}{3}$ X³ - $\frac{4}{x}$ Options:
  A) 3x² - $\frac{4}{x}$
  B) 2x² +$\frac{4}{x^2}$
  C) 3x² + $\frac{4}{x^2}$
  D) 2x² - $\frac{4}{x}$
  Show Answer
  The correct answer is B .
• Question 16: The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is Options:
  A) 1.5
  B) 0.8
  C) 1.0
  D) 1.02
  E) 1.05
  Show Answer
  The correct answer is E .
• Question 17:

  Find the derivativeof the function y = 2x${}^2$(2x - 1) at the point x = -1?

  Options:
  A) 18
  B) 16
  C) -4
  D) -6
  Show Answer
  The correct answer is B .
• Question 18:

  What is the product of $\frac{27}{5}$, $(3{)}^{-3}$ and ($\frac{1}{5}{)}^{-1}$?

  Options:
  A) 5
  B) 3
  C) 1
  D) $\frac{1}{25}$
  Show Answer
  The correct answer is C .
• Question 19: Evaluate ${\int }_0^2(x^3+x^2)$dx. Options:
  A) 4$\frac{5}{6}$
  B) 6$\frac{2}{3}$
  C) 1$\frac{5}{6}$
  D) 2$\frac{5}{6}$
  Show Answer
  The correct answer is B .
• Question 20: 7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class? Options:
  A) 13years
  B) 12 years 7$\frac{1}{2}$ months
  C) 13 years 5 months
  D) 13 years 10 months
  E) 11 years
  Show Answer
  The correct answer is D .