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 2581: The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through Options:
  A) (2,5)
  B) (5,2)
  C) (1,0)
  D) (0,1)
  Show Answer
  The correct answer is B .
• Question 2582: p varies directly as the square of q and inversely as r. If p = 36, when q = 36, when q = 3 and r = 4, find p when q = 5 and r = 2 Options:
  A) 72
  B) 100
  C) 90
  D) 200
  E) 125
  Show Answer
  The correct answer is D .
• Question 2583: 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 2584:

  Find the value of t such that the expression $\frac{1}{t}$ + $\frac{4}{3}$ - $\frac{5}{6t}$ + 1 is equal to zero

  Options:
  A) $\frac{1}{6}$
  B) - $\frac{1}{14}$
  C) - $\frac{3}{2}$
  D) $\frac{7}{6}$
  E) $\frac{2}{5}$
  Show Answer
  The correct answer is B .
• Question 2585: The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number Options:
  A) 3
  B) 16
  C) 18
  D) 38
  Show Answer
  The correct answer is D .
• Question 2586: 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 2587: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 2588: Factorize m³ - 2m² - m + 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 C .
• Question 2589:

  ⊗	k	l	m
  k	l	m	k
  l	m	k	l
  m	k	l	m

  The identity element with respect to the multiplication shown in the table above is

  Options:
  A) o
  B) m
  C) l
  D) k
  Show Answer
  The correct answer is B .
• Question 2590: Evaluate ${\left(\frac{81}{16}\right)}^{\frac{-1}{4}}\times 2^{-1}$ Options:
  A) ¹/₃
  B) 3
  C) 6
  D) ¹/₆
  Show Answer
  The correct answer is A .