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 1861: Factorize (4a + 3)² - (3a - 2)² Options:
  A) (a + 1)(a + 5)
  B) (a - 5)(7a - 1)
  C) (a + 5)(7a + 1)
  D) a(7a + 1)
  Show Answer
  The correct answer is C .
• Question 1862: Find the mid point of S(-5, 4) and T(-3, -2) Options:
  A) -4, 2
  B) 4, -2
  C) -4, 1
  D) 4, -1
  Show Answer
  The correct answer is C .
• Question 1863:

  Given that $p=1+\sqrt{2}$ and $q=1-\sqrt{2},$ evaluate $\frac{(p^2-q^2)}{2pq}$.

  Options:
  A) 2(2+√2)
  B) -2(2+√2)
  C) 2√2
  D) -2√2
  Show Answer
  The correct answer is D .
• Question 1864: A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)? Options:
  A) y = (3x²/)2 + 2x
  B) y = (3x²)/2 + x
  C) y = 3x² + (x/2)
  D) y = 3x² +2x
  Show Answer
  The correct answer is A .
• Question 1865: What is the common ratio of the G.P. $(\sqrt{10}+\sqrt{5})+(\sqrt{10}+2\sqrt{5})+...$? Options:
  A) $\sqrt{2}$
  B) $\sqrt{5}$
  C) 3
  D) 5
  Show Answer
  The correct answer is A .
• Question 1866: Evaluate $1-(\frac{1}{5}\times \frac{2}{3})+(5+\frac{2}{3})$ Options:
  A) $4$
  B) $3$
  C) $2\frac{2}{3}$
  D) $3\frac{2}{3}$
  Show Answer
  The correct answer is D .
• Question 1867:

  Divide the expression x³ + 7x² - x - 7 by -1 + x²

  Options:
  A) -x³ + 7x² - x - 7
  B) -x³ = 7x + 7
  C) x - 7
  D) x + 7
  Show Answer
  The correct answer is D .
• Question 1868:

  

  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 1869: Simplify $\frac{5^x\times {25}^{x-1}}{{125}^{x-1}}$ Options:
  A) 5^{2x + 1}
  B) 5^{x + 1}
  C) 5^-5
  D) 5²
  E) 5³
  Show Answer
  The correct answer is C .
• Question 1870: Solve for x and y if x - y = 2 and x² - y² = 8 Options:
  A) (-1, 3)
  B) (3, 1)
  C) (-3, 1)
  D) (1, 3)
  Show Answer
  The correct answer is B .