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 21:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 22:

  The mean age group of some students is 15years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages become18 years. Find the number of students in the group.

  Options:
  A) 7
  B) 9
  C) 15
  D) 42
  Show Answer
  The correct answer is B .
• Question 23: Determine the value of ${\int }_0^{\frac{\pi }{2}}$ (-2 cosx)dx Options:
  A) -$\frac{3}{2}$
  B) -$\frac{1}{2}$
  C) -2
  D) -3
  Show Answer
  The correct answer is C .
• Question 24:

  A cylindrical tank has a capacity of 3080m${}^3$. What is the depth of the tank if the diameter of its base is 14m?

  Options:
  A) 25m
  B) 23m
  C) 22m
  D) 20m
  Show Answer
  The correct answer is D .
• Question 25: Factorize completely $\frac{x^3+3x^2-10x}{2x^2-8}$ Options:
  A) $\frac{x(x-5)}{2(x+2)}$
  B) $\frac{x(x+5)}{2(x+2)}$
  C) $\frac{x(x-5)}{2(x-2)}$
  D) $\frac{x^2+5}{2x+4}$
  Show Answer
  The correct answer is B .
• Question 26:

  A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the average speed for the entire journey

  Options:
  A) 55.00km/h
  B) 60.00km/h
  C) 67.50km/h
  D) 75.00km/h
  Show Answer
  The correct answer is B .
• Question 27: A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man Options:
  A) 50° 54′
  B) 35° 06′
  C) 30° 00′
  D) 290 90′
  E) 29° 54′
  Show Answer
  The correct answer is E .
• Question 28: Given that 3x - 5y - 3 = 0, 2y - 6x + 5 = 0 the value of (x, y) is Options:
  A) ($\frac{-1}{8},\frac{19}{24}$)
  B) 8, $\frac{24}{19}$
  C) -8, $\frac{24}{19}$
  D) ($\frac{19}{24},\frac{-1}{8}$)
  Show Answer
  The correct answer is D .
• Question 29: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 30: Simplify $\frac{(a^2-\frac{1}{a})+(a^{\frac{4}{3}}+a^{\frac{2}{3}})}{a^2{\frac{1}{a}}^2}$ Options:
  A) a^{$\frac{2}{3}$}
  B) a^{-$\frac{1}{3}$}
  C) a2 + 1
  D) a
  E) a^{$\frac{1}{3}$}
  Show Answer
  The correct answer is E .