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 1: The graph of the function y = x² + 4 and a straight line PQ are drawn to solve the equation x² - 3x + 2 = 0. What is the equation of PQ? Options:
  A) y = 3x - 2
  B) y = 3x + 2
  C) y = 3x - 4
  D) y = 3x + 4
  Show Answer
  The correct answer is B .
• Question 2: If $\frac{a}{c}$ = $\frac{c}{d}$ = k, find the value of $\frac{3a^2-ac+c^2}{3b^2-bd+d^2}$ Options:
  A) 3k²
  B) 2k - k²
  C) $\frac{3b^2{k}^2-b{k}^{2}d+d{k}^2}{3b^2-bd+d^2}$
  D) k²
  Show Answer
  The correct answer is C .
• Question 3: Given that √2 = 1.1414, find without using tables, the value of $\frac{1}{\sqrt{2}}$ Options:
  A) 0.141
  B) 0.301
  C) 0.667
  D) 0.707
  Show Answer
  The correct answer is D .
• Question 4: What is the nth term of the progression 27, 9, 3,......? Options:
  A) 27$\frac{1}{3}$ ^{n - 1}
  B) 3^{n + 2}
  C) 27 + 18(n - 1)
  D) 27 + 6(n - 1)
  Show Answer
  The correct answer is A .
• Question 5:

  

  In diagram, PQ || ST and < PQR = 120${}^{\circ }$, < RST = 130${}^{\circ }$, find the angle marked x

  Options:
  A) 50
  B) 65
  C) 70
  D) 80
  Show Answer
  The correct answer is C .
• Question 6: 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 7: Factorize x² + 9x + 20 Options:
  A) (x − 5) ²
  B) (x + 5)(x + 4)
  C) (x – 5)(x + 3)
  D) (x + 3) ²
  Show Answer
  The correct answer is B .
• Question 8: Solve 5^{2(x - 1)} x 5^{x + 1} = 0.04 Options:
  A) $\frac{1}{3}$
  B) $\frac{1}{4}$
  C) -$\frac{1}{5}$
  D) -$\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 9:

  The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

  Options:
  A) 201
  B) 144
  C) 198
  D) 72
  Show Answer
  The correct answer is C .
• Question 10: The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years? Options:
  A) 18
  B) 23
  C) 25
  D) 36
  E) 70
  Show Answer
  The correct answer is A .