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 1091: 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 1092: If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 1093:

  factorize m${}^3$ - m${}^2$ + 2m - 2

  Options:
  A) (m² + 1)(m - 2)
  B) (m - 1)(m + 1)(m + 2)
  C) (m - 2)(m + 1)(m - 1)
  D) (m² + 2)(m - 1)
  Show Answer
  The correct answer is D .
• Question 1094: If {(a²b^-3c)^3/4/a^-1b⁴c⁵} = a^pb^qc^r; what is the value of p+2q? Options:
  A) (5/2)
  B) -(5/4)
  C) -(25/4)
  D) -10
  Show Answer
  The correct answer is D .
• Question 1095: If b = a + cp and r = ab + $\frac{1}{2}$cp², express b² in terms of a, c, r. Options:
  A) b² = aV + 2cr
  B) b² = ar + 2c²r
  C) b² = a² = $\frac{1}{2}$ cr²
  D) b² = $\frac{1}{2}$ar² + c
  E) b² = 2cr - a²
  Show Answer
  The correct answer is E .
• Question 1096: Factorize 4a² - 12ab - C² + 9b² Options:
  A) 4a(a - 3b) + (3b - c)²
  B) (2a + 3b - c)(2a + 3b + c)
  C) (2a - 3b + c)(2a - 3b - c)
  D) 4a(a - 3b) + (3b + c)
  Show Answer
  The correct answer is C .
• Question 1097:

  Find the value of k in the equation: $\sqrt{28}+\sqrt{112}-\sqrt{k}=\sqrt{175}$

  Options:
  A) $\sqrt{28}$
  B) 7
  C) 28
  D) $\sqrt{7}$
  Show Answer
  The correct answer is B .
• Question 1098: If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P $\cap$ Q Options:
  A) {3}
  B) {2,3}
  C) {2,3,5}
  D) {1,2}
  Show Answer
  The correct answer is B .
• Question 1099: Tunde and Shola can do a piece of work in 18 days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x? Options:
  A) x² - 5x - 10 = 0
  B) x² - 20x + 360 = 0
  C) x² - 21x - 270 = 0
  D) 3x² - 65x + 362 = 0
  Show Answer
  The correct answer is C .
• Question 1100: A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold Options:
  A) 48 cm³
  B) 33 cm³
  C) 60 cm³
  D) 27 cm³
  Show Answer
  The correct answer is B .