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 111: If ⁶P_r = 6, find the value of ⁶P_r+1 Options:
  A) 30
  B) 33
  C) 35
  D) 15
  Show Answer
  The correct answer is A .
• Question 112: 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 113:

  In triangle FGB, < G = 90°, < H = 60°, while in triangle XYZ, < X = 60° and < Y = 30°. Form XYZ write down the ratio equal to $\frac{FG}{FH}$

  Options:
  A) $\frac{YX}{ZX}$
  B) $\frac{YX}{YZ}$
  C) $\frac{ZX}{YZ}$
  D) $\frac{YZ}{XY}$
  Show Answer
  The correct answer is D .
• Question 114: In the diagram, find the size of the angle marked a^o Options:
  A) 60^o
  B) 80^o
  C) 120^o
  D) 160^o
  Show Answer
  The correct answer is B .
• Question 115:

  Evaluate $\frac{2{\log }_{3}9\times {\log }_3{81}^{-2}}{{\log }_{5}625}$

  Options:
  A) 4
  B) -32
  C) -8
  D) 16
  Show Answer
  The correct answer is C .
• Question 116: If P = 18, Q = 21, R = -6 and S = -4, Calculate $\frac{(P-Q{)}^3+S^2}{R^3}$ + S² Options:
  A) $\frac{-11}{216}$
  B) $\frac{11}{216}$
  C) $\frac{-43}{116}$
  D) $\frac{43}{116}$
  Show Answer
  The correct answer is B .
• Question 117:

  Rationalise $\frac{2\sqrt{3}+\sqrt{5}}{\sqrt{5}-\sqrt{3}}$

  Options:
  A) (3 √ 15 +11) / 2
  B) 3 √ 15 -11
  C) (3 √ 15 -11) / 2
  D) 3 √ 15 +11
  Show Answer
  The correct answer is A .
• Question 118: Which of the following is a factor of rs + tr - pt - ps? Options:
  A) (p - s)
  B) (s - p)
  C) (r - p)
  D) (1 + p)
  Show Answer
  The correct answer is C .
• Question 119: If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes? Options:
  A) 27 : 32
  B) 27 : 23
  C) 23 : 32
  D) 27 : 23
  Show Answer
  The correct answer is A .
• Question 120: 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 .