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: Solve the equation 3x² + 6x - 2 = 0 Options:
  A) x = -1 $\pm$ $\frac{\sqrt{3}}{3}$
  B) x = -1 $\pm$ $\frac{\sqrt{15}}{3}$
  C) x = -2 $\pm$ 2
  D) x = 3 $\pm$ $\frac{\sqrt{3}}{15}$
  Show Answer
  The correct answer is B .
• Question 2: Find ${\int }_0^1$ cos4 x dx Options:
  A) $\frac{3}{4}$ sin 4x + k
  B) -$\frac{1}{4}$ sin 4x + k
  C) -$\frac{3}{4}$ sin 4x + k
  D) $\frac{1}{4}$ sin 4x + k
  Show Answer
  The correct answer is D .
• Question 3: If -8, m, n, 19 are in arithmetic progression, find (m, n) Options:
  A) 1, 10
  B) 2, 10
  C) 3, 13
  D) 4, 16
  Show Answer
  The correct answer is A .
• Question 4: A polynomial in x whose roots are $\frac{4}{3}$ and -$\frac{2}{5}$ is Options:
  A) 15x² - 11x - 12
  B) 15x² + 11x - 12
  C) 12x² - x - 12
  D) 12x² + 11x - 15
  Show Answer
  The correct answer is A .
• Question 5: In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?
  Options:
  A) $\frac{17}{30}$
  B) $\frac{11}{30}$
  C) $\frac{6}{30}$
  D) $\frac{5}{30}$
  E) $\frac{7}{3}$
  Show Answer
  The correct answer is A .
• Question 6:

  Find T in terms of K, Q and S if S = 2r($\pi$QT + K)

  Options:
  A) $\frac{S^2}{2\pi r^{2}Q}-\frac{k}{Q}$
  B) $\frac{S^2}{4\pi r^{2}Q}$ - k
  C) $\frac{S^2}{4\pi r^{2}Q}-\frac{k}{Q}$
  D) $\frac{s^2}{4\pi r^{2}Q}$
  Show Answer
  The correct answer is B .
• Question 7: Which of the formula below represents the general terms of the following set of numbers(-1, $\frac{2}{3}$, -$\frac{1}{2}$, $\frac{2}{5}$......) for n = 1, 2, 3, 4.......? Options:
  A) $\frac{2}{n+1}$
  B) (-1)^{n + 1} $\frac{2}{n+1}$
  C) (-1)ⁿ $\frac{2}{n+1}$
  D) $\frac{n}{2n-1}$
  E) (-1)ⁿ$\frac{n}{2n-1}$
  Show Answer
  The correct answer is C .
• Question 8: A man invests a sum of money at 4% per annum simple invest. After 3 years, the principal amounts to ₦7,000.00. Find the sum invested Options:
  A) ₦7,840
  B) ₦6,250.00
  C) ₦616.00
  D) ₦5,833.33
  Show Answer
  The correct answer is B .
• Question 9:

  A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 mL. The teacher reports the value as 18.4 mL. What is the student's percent error?

  Options:
  A) 2.17%
  B) 1.73%
  C) 2.23%
  D) 1.96%
  Show Answer
  The correct answer is A .
• Question 10: An arc of circle of radius 2cm subtends an angle of 60^o at the centre. Find the area of the sector Options:
  A) $\frac{2\pi }{3}$cm²
  B) $\frac{\pi }{2}$cm²
  C) $\frac{\pi }{3}$cm²
  D) $\pi$cm²
  Show Answer
  The correct answer is A .