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: Find the minimum value of X² - 3x + 2 for all real values of x Options:
  A) -$\frac{1}{4}$
  B) -$\frac{1}{2}$
  C) $\frac{1}{4}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 2: The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression. Options:
  A) $\frac{1}{4}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\frac{1}{\sqrt{3}}$
  D) $\frac{1}{\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 3: If f(x - 2) = 4x² + x + 7, find f(1) Options:
  A) 12
  B) 27
  C) 7
  D) 46
  E) 17
  Show Answer
  The correct answer is D .
• Question 4: If 2x + 3y = 1 and x - y = 11, find (x + y). Options:
  A) 5
  B) 3
  C) 8
  D) 2
  E) 11
  Show Answer
  The correct answer is E .
• Question 5: Evaluate ${\int }_0^2(x^3+x^2)$dx. Options:
  A) 4$\frac{5}{6}$
  B) 6$\frac{2}{3}$
  C) 1$\frac{5}{6}$
  D) 2$\frac{5}{6}$
  Show Answer
  The correct answer is B .
• Question 6: A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively? Options:
  A) 5kg
  B) 16kg
  C) 19kg
  D) 6kg
  Show Answer
  The correct answer is A .
• Question 7: A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to $\frac{2}{5}$ Options:
  A) 4
  B) 20
  C) 24
  D) 40
  Show Answer
  The correct answer is A .
• Question 8: If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ and q : r = $\frac{3}{4}$ : $\frac{1}{2}$, find p : q : r Options:
  A) 12 : 15 : 10
  B) 12 : 15 : 16
  C) 10 : 15 : 24
  D) 9 : 10 : 15
  Show Answer
  The correct answer is A .
• Question 9: If r varies inversely as the square root of s and t, how does s vary with r and t? Options:
  A) s varies inversely as r and t²
  B) s varies inverely as r² and t
  C) s varies directly as r² and t²
  D) s varies directly as r and t
  Show Answer
  The correct answer is B .
• Question 10: A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector. Options:
  A) 42cm²
  B) 3cm²
  C) 21cm²
  D) 24cm²
  E) 12cm²
  Show Answer
  The correct answer is C .