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 581: 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 582: Simplify $\frac{1}{5x+5}$ + $\frac{1}{7x+7}$ Options:
  A) $\frac{12}{35x+1}$
  B) $\frac{1}{35(x+1)}$
  C) $\frac{12x}{35(x+7)}$
  D) $\frac{12}{35x+35}$
  Show Answer
  The correct answer is A .
• Question 583:

  Divide 1101001${}_{two}$ by 101${}_{two}$

  Options:
  A) 11101${}_{two}$
  B) 111${}_{two}$
  C) 10111${}_{two}$
  D) 10101${}_{two}$
  Show Answer
  The correct answer is D .
• Question 584: Simplify 4 - $\frac{1}{2-\sqrt{3}}$ Options:
  A) 2$\sqrt{3}$
  B) -2 - $\sqrt{3}$
  C) -2 + $\sqrt{3}$
  D) 2 - $\sqrt{3}$
  Show Answer
  The correct answer is D .
• Question 585: If cos²$\theta$ + $\frac{1}{8}$ = sin²$\theta$, find tan$\theta$ Options:
  A) 3
  B) $\frac{3\sqrt{7}}{7}$
  C) 3$\sqrt{7}$
  D) $\sqrt{7}$
  Show Answer
  The correct answer is B .
• Question 586:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 587: A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green? Options:
  A) $\frac{1}{6}$
  B) $\frac{1}{3}$
  C) $\frac{16}{18}$
  D) $\frac{3}{8}$
  E) $\frac{4}{9}$
  Show Answer
  The correct answer is A .
• Question 588: If duty is levied at 25%, find the duty to be added to a bill of ₦80. Options:
  A) ₦100
  B) ₦20
  C) ₦80
  D) ₦150
  Show Answer
  The correct answer is B .
• Question 589: If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water? Options:
  A) 2$\frac{4}{5}$%
  B) 16$\frac{7}{8}$%
  C) 18$\frac{1}{8}$%
  D) 18$\frac{7}{8}$%
  Show Answer
  The correct answer is B .
• Question 590: What value of g will make the expression 4x² - 18xy + g a perfect square? Options:
  A) 9
  B) $\frac{9y^2}{4}$
  C) 81y^2
  D) $\frac{18y^2}{4}$
  Show Answer
  The correct answer is D .