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 81: 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 82: Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1 Options:
  A) 10
  B) 8
  C) -10
  D) -8
  Show Answer
  The correct answer is C .
• Question 83: Find the equation of a line which is from the origin and passes through the point (−3, −4) Options:
  A) y = $\frac{3x}{4}$
  B) y = $\frac{4x}{3}$
  C) y = $\frac{2x}{3}$
  D) y = $\frac{x}{2}$
  Show Answer
  The correct answer is B .
• Question 84: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 85: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 86: The sum of two numbers is 5; their product is 14. Find the numbers. Options:
  A) x = 5 or 1
  B) x = 7 or 1
  C) x = 7 or 0
  D) x = 7 or − 2
  Show Answer
  The correct answer is D .
• Question 87:

  A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?

  Options:
  A) 43.7% loss
  B) 13.2% gain
  C) 13.2% loss
  D) 43.7% gain
  Show Answer
  The correct answer is C .
• Question 88: In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mat
  ematics and Physics? Options:
  A) 20
  B) 16
  C) 8
  D) 4
  Show Answer
  The correct answer is A .
• Question 89: Make c the subject of formula v = 1 - $\frac{a}{5}$(b + $\frac{3c}{7}$) Options:
  A) [$\frac{7}{3}$ + $\frac{5}{a}$(v - 1)] + b
  B) [$\frac{7b}{3}$ + $\frac{5}{a}$(v - 1)]
  C) $\frac{7}{3}$[b + $\frac{5}{a}$(v - 1)]
  D) $\frac{7}{3}$[b + $\frac{5v-1}{a}$]
  Show Answer
  The correct answer is A .
• Question 90: BY how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median? Options:
  A) 0.75
  B) 0.50
  C) 0.33
  D) 0.17
  Show Answer
  The correct answer is C .