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 1151: If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q Options:
  A) P = 2, q = 4
  B) p = 3, q = 1
  C) p = 5, q = 3
  D) p = 6, q = 2
  Show Answer
  The correct answer is D .
• Question 1152: Find the reciprocal of $\frac{\frac{2}{3}}{\frac{1}{2}+\frac{1}{3}}$ Options:
  A) $\frac{4}{5}$
  B) $\frac{5}{4}$
  C) $\frac{2}{5}$
  D) $\frac{6}{7}$
  Show Answer
  The correct answer is B .
• Question 1153: 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 1154: 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 1155:

  Determine the maximum value of y=3x${}^2$ + 5x - 3

  Options:
  A) 6
  B) 0
  C) 2
  D) No correct option
  Show Answer
  The correct answer is D .
• Question 1156:

  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 1157: Simplify $\frac{324-4x^2}{2x+18}$ Options:
  A) 2(x - 9)
  B) 2(9 + x)
  C) 81 - x²
  D) -2(x - 9)
  Show Answer
  The correct answer is D .
• Question 1158: Without using tables find the numerical value of log₇49 + log7_{($\frac{1}{7}$)} Options:
  A) 1
  B) 2
  C) 3
  D) 7
  E) 9
  Show Answer
  The correct answer is A .
• Question 1159: Find the derivative of $y=\frac{x^7-x^5}{x^4}$ Options:
  A) x(x²-1)
  B) 3x(x²-1)
  C) 3x²-1
  D) 7x⁶-5x⁴
  Show Answer
  The correct answer is C .
• Question 1160: The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days? Options:
  A) 20
  B) 35
  C) 45
  D) 60
  Show Answer
  The correct answer is C .