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 41: Factorize $x^2-2x-15$ Options:
  A) (x + 3)²
  B) (x + 5)(x − 3)
  C) (x − 5)²
  D) (x − 5)(x + 3)
  Show Answer
  The correct answer is D .
• Question 42: A worker's present salary is ₦24,000 per annum. His annual increment is 10% of his basic salary at the beginning of the third year? Options:
  A) ₦28,800
  B) ₦29,040
  C) ₦31,200
  D) ₦31,944
  Show Answer
  The correct answer is B .
• Question 43: Using the graph find the values of p and q if px + qy $\ge$ 4 Options:
  A) p = 2, q = -1
  B) p = -1, q = 2
  C) p = 2, q = 2
  D) p = 1, q = 2
  Show Answer
  The correct answer is B .
• Question 44: 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 45: If angle $\theta$ is 135^o, evaluate cos$\theta$ Options:
  A) $\frac{1}{2}$
  B) $\frac{\sqrt{2}}{2}$
  C) $-\frac{\sqrt{2}}{2}$
  D) $-\frac{1}{2}$
  Show Answer
  The correct answer is B .
• Question 46: Factorize 9p² - q² + 6qr - 9r² Options:
  A) (3p - 3q + r)(3p - q - 3r)
  B) (6p - 3q - 3r)(3p - q - 4r)
  C) (3p - q + 3r)(3p - q - 3r)
  D) (3q - p + 3r)(3q - p + 3r)
  Show Answer
  The correct answer is C .
• Question 47: The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?
  Options:
  A) 30 years
  B) 6 years
  C) 9 years
  D) 3 years
  E) 1 year
  Show Answer
  The correct answer is D .
• Question 48:

  Find the roots of x³ - 2x² - 5x + 6 = 0

  Options:
  A) 1, -2, 3
  B) 1, 2, -3
  C) -1, -2, 3
  D) -1, 2, -3
  Show Answer
  The correct answer is A .
• Question 49:

  Calculate the mean deviation of the first five prime numbers.

  Options:
  A) 2.72
  B) 5.6
  C) 5.25
  D) 13.6
  Show Answer
  The correct answer is A .
• Question 50: On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures. Options:
  A) 6.00cm²
  B) 6.10cm²
  C) 6cmv
  D) 6.09cm²
  E) 4.00cm²
  Show Answer
  The correct answer is B .