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 1481: A chord of a circle subtends an angle of 60${}^{\circ }$ at the length of a circle of radius 14 cm. Find the length of the chord Options:
  A) 7 cm
  B) 14 cm
  C) 21 cm
  D) 28 cm
  Show Answer
  The correct answer is B .
• Question 1482: Given m = N$\frac{\sqrt{SL}}{T}$ make T the subject of the formula Options:
  A) $\frac{\text{NSL}}{M}$
  B) $\frac{N^{2}SL}{M^2}$
  C) $\frac{N^{2}SL}{M}$
  D) $\frac{NSL}{M^2}$
  Show Answer
  The correct answer is B .
• Question 1483: Factorize 4a² - 12ab - C² + 9b² Options:
  A) 4a(a - 3b) + (3b - c)²
  B) (2a + 3b - c)(2a + 3b + c)
  C) (2a - 3b + c)(2a - 3b - c)
  D) 4a(a - 3b) + (3b + c)
  Show Answer
  The correct answer is C .
• Question 1484: 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 1485: 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 1486: Write the equation 2 log₂x - x log₂(1 + y) = 3 in a form not involving logarithms Options:
  A) 2^x(1 + y) = 3
  B) 2^x - x(1 + y) = 8
  C) x² = 8(1 + y)^x
  D) x² - x(1 + y) = 8
  E) x² - (1 + y)² = 8
  Show Answer
  The correct answer is C .
• Question 1487: Make x the subject of the equation
  s = 2 + $\frac{t}{5}$(x + ⅗y) Options:
  A) x = 5[(s − 2) ÷ t] + 3yt
  B) x = 25[(s − 2) ÷ t] − 3ty
  C) x = [1 ÷ (s − 2)3ty]
  D) x = [5(s − 2) 2 ÷ 3ty] × t
  Show Answer
  The correct answer is B .
• Question 1488: 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 1489: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 1490: Find a two-digit number such that three times the tens digit is 2 less than twice the units digit, and twice the number is 20 greater than the number obtained by reversing the digits. Options:
  A) 24
  B) 42
  C) 74
  D) 47
  E) 72
  Show Answer
  The correct answer is D .