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 1051: The probabilities that a man and his wife live for 80 years are $\frac{2}{3}$ and $\frac{3}{5}$ respectively. Find the probability that at least one of them will live up to 80 years Options:
  A) $\frac{2}{15}$
  B) $\frac{3}{15}$
  C) $\frac{7}{15}$
  D) $\frac{13}{15}$
  Show Answer
  The correct answer is D .
• Question 1052: Ice forms on a refrigerator ice box at rate of (4 - 0.61)g per minute after 1 minute. If initially, there were 2g of ice, find the mass of ice formed in 5 minutes. Options:
  A) 19.5
  B) 17.0
  C) 14.5
  D) 12.5
  Show Answer
  The correct answer is D .
• Question 1053: Rationalize 5 ÷ (2 − √3) Options:
  A) 3(2 + √5)
  B) 2(3 + √5)
  C) 5(2 + √3)
  D) 3 √2 + 1
  Show Answer
  The correct answer is C .
• Question 1054:

  The quadratic equation whose roots are 1 - $\sqrt{13}$ and 1 + $\sqrt{13}$ is

  Options:
  A) x² + (1 - $\sqrt{13}$)x + 1 + $\sqrt{13}$ = 0
  B) x² - 2x - 12 = 0
  C) x² - 2x + 12 = 0
  D) x² + 12 + 2x² = 0
  Show Answer
  The correct answer is C .
• Question 1055: For which of the following exterior angles is a regular polygon possible? i. 36^o ii. 18^o iii. 15^o Options:
  A) i and ii
  B) ii only
  C) ii and iii
  D) iii only
  Show Answer
  The correct answer is C .
• Question 1056: The following marks were obtained by twenty students in an examination: 53, 30, 70, 84, 59, 43, 90, 20, 78, 48, 44, 60, 81, 73, 50, 37, 67, 68, 64, 52. Find the numbers of students who scored at least 50 marks Options:
  A) 6
  B) 10
  C) 13
  D) 14
  Show Answer
  The correct answer is D .
• Question 1057: If the lines 2y - kx + 2 = 0 and y + x - ^k/₂ = 0 Intersect at (1, -2), find the value of k Options:
  A) -4
  B) -3
  C) -2
  D) -1
  Show Answer
  The correct answer is C .
• Question 1058: The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8. Options:
  A) 8/5
  B) 8/3
  C) 72/25
  D) 56/9
  Show Answer
  The correct answer is C .
• Question 1059:

  

  XYZ is a circle enter o and a radius 7cm. Find the area of the shaded region. θ = 45 x 2 = 90

  Options:
  A) 84cm²
  B) 77cm²
  C) 38cm²
  D) 14cm²
  Show Answer
  The correct answer is D .
• Question 1060:

  Factorize completely 81a${}^4$ - 16b${}^4$

  Options:
  A) (3a + 2b)(2a - 3b)(9a² + 4b²)
  B) (3a - 2b)(2a - 3b)(4a² - 9b²)
  C) (3a - 2b)(3a + 2b)(9a² + 4b²)
  D) (6a - 2b)(8a - 3b)(4a³ - 9b²)
  Show Answer
  The correct answer is C .