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 171: Factorize 1 - (a - b)² Options:
  A) (1 - a - b)(1 - a + b)
  B) (1 + a - b)(1 - a + b)
  C) (1 - a + b)(1 - a + b)
  D) (1 + a + b)(1 + a + b)
  Show Answer
  The correct answer is B .
• Question 172: 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 .
• Question 173:

  Factorize 2t² + t - 15

  Options:
  A) (t + 3)(2t - 5)
  B) (2t + 3)(t - 5)
  C) (2t - 3)(t + 5)
  D) (t + 3)(t - 5)
  Show Answer
  The correct answer is A .
• Question 174: Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0 Options:
  A) 3x - 4y + 18 = 0
  B) 3x + 2y - 18 = 0
  C) 4x + 5y + 3 = 0
  D) 5x - 2y - 11 = 0
  Show Answer
  The correct answer is A .
• Question 175: A binary operation * is defined by a*b = a^b. If a*2 = 2-a, find the possible values of a. Options:
  A) 1, -1
  B) 1, 2
  C) 2, -2
  D) 1, -2
  Show Answer
  The correct answer is D .
• Question 176: Find the value of $\frac{tan{60}^o-tan{30}^o}{tan{60}^o+tan{30}^o}$ Options:
  A) 1
  B) $\frac{1}{2}$
  C) $\frac{3}{\sqrt{3}}$
  D) $\frac{2}{\sqrt{3}}$
  Show Answer
  The correct answer is B .
• Question 177:

  Four boys and ten girls can cut a field first in 5 hours. If the boys work at $\frac{5}{4}$ the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?

  Options:
  A) 180
  B) 60
  C) 25
  D) 20
  Show Answer
  The correct answer is D .
• Question 178:

  

  In the diagram, angle QPR = 90${}^{\circ }$, angle PSR = 90${}^{\circ }$ and PR = 5 units. Find the length of QS.

  Options:
  A) 5 tan 25${}^{\circ }$ sin 65${}^{\circ }$
  B) 5 cos 25${}^{\circ }$ sin 65${}^{\circ }$
  C) 5 tan 25${}^{\circ }$ cos 65${}^{\circ }$
  D) cos 25${}^{\circ }$ cos 65${}^{\circ }$
  E) 5 cosec 25${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 179: Express $\frac{1}{x+1}$ - $\frac{1}{x-2}$ as a single algebraic fraction Options:
  A) $\frac{-3}{(x+1)(2-x)}$
  B) $\frac{3}{(x+1)(2-x)}$
  C) $\frac{-1}{(x+1)}$
  D) $\frac{1}{(x+1)(x-2)}$
  Show Answer
  The correct answer is A .
• Question 180: If the 9th term of an A.P is five times the 5th term, find the relationship between a and d. Options:
  A) 2a + 2 = 0
  B) 3a + 5d = 0
  C) a + 3d = 0
  D) a + 2d = 0
  Show Answer
  The correct answer is C .