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 461: Factorize completely 81a⁴ - 16b⁴ Options:
  A) (3a + 2b)(2a - 3b)(9a² + 4b²)
  B) (3a - 2b)(2a - 3b)(4a² - 9b²)
  C) (3a - 2b)(3a - 2b)(9a² - 4b²)
  D) (6a - 2b)(8a - 3b)(4a³ - 9b²)
  Show Answer
  The correct answer is C .
• Question 462: Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60^o Options:
  A) 4.0m²
  B) 1m²
  C) 4.7m²
  D) 5.0m²
  Show Answer
  The correct answer is C .
• Question 463: Evaluate ${\int }_0^{\frac{\pi }{4}}se{c}^2\theta d\theta$ Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is A .
• Question 464:

  $\begin{array}{ccccccccc}\text{Marks}& 2& 3& 4& 5& 6& 7& 8& 9\\ \text{No. of students}& 3& 4& 1& 0& 4& 5& 2& 1\end{array}$

  The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5.

  Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{7}{20}$
  D) $\frac{1}{5}$
  Show Answer
  The correct answer is A .
• Question 465: Quantities in the proportions 1, 4, 6, 7 are to be represented in a pie chart. Calculate the angle of the sector with proportion 7 Options:
  A) 20^o
  B) 80^o
  C) 120^o
  D) 140^o
  Show Answer
  The correct answer is D .
• Question 466:

  

  The diagram is a circle with centre O. Find the area of the shaded portion.

  Options:
  A) 9($\pi -2)c{m}^2$
  B) 18$\pi c{m}^2$
  C) 9$\pi c{m}^2$
  D) 36$\pi c{m}^2$
  Show Answer
  The correct answer is A .
• Question 467: The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2. Options:
  A) ₦132.50K
  B) ₦136.30K
  C) ₦125.40K
  D) ₦257.42K
  Show Answer
  The correct answer is B .
• Question 468: The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y. Options:
  A) (12, 6)
  B) (23, 17)
  C) (17, 11)
  D) (18, 12)
  Show Answer
  The correct answer is C .
• Question 469: If 7 and 189 are the first and fourth terms of geometric progression respectively, find the sum of the first three terms of the progression Options:
  A) 182
  B) 91
  C) 63
  D) 28
  Show Answer
  The correct answer is B .
• Question 470: If a function is defined by $f(x+1)=3x^2-x+4$, find $f(0)$ Options:
  A) 4
  B) 6
  C) 8
  D) 2
  Show Answer
  The correct answer is D .