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 841: Three brothers in a business deal share the profit at the end of a contact. The first received $\frac{1}{3}$ of the profit and the second $\frac{2}{3}$ of the remainder. If the third received the remaining ₦12000.00 how much profit did they share? Options:
  A) ₦60 000.00
  B) ₦54 000.00
  C) ₦48 000.00
  D) ₦42 000.00
  Show Answer
  The correct answer is B .
• Question 842:

  A binary operation $\otimes$ is defined by $m\otimes n=mn+m-n$ on the set of real numbers, for all m, n $\in$ R. Find the value of 3 $\otimes$ (2 $\otimes$ 4).

  Options:
  A) 6
  B) 25
  C) 15
  D) 18
  Show Answer
  The correct answer is C .
• Question 843: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 844: Express the product of 0.007 and 0.057 to two significant figures Options:
  A) 0.0004
  B) 0.00039
  C) 0.004
  D) 0.0039
  E) 0.04
  Show Answer
  The correct answer is A .
• Question 845: Rationalize the expression $\frac{1}{\sqrt{2}+\sqrt{5}}$ Options:
  A) $\frac{1}{3}$($\sqrt{5}-\sqrt{2}$
  B) $\frac{\sqrt{2}}{3}$ + $\frac{\sqrt{5}}{5}$
  C) $\sqrt{2}-\sqrt{5}$
  D) 5($\sqrt{2}-\sqrt{5}$
  E) $\frac{1}{3}$($\sqrt{2}-\sqrt{5}$
  Show Answer
  The correct answer is A .
• Question 846: Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5) Options:
  A) 2x + 2y = 9
  B) 2x + 3y = 8
  C) 2x + y = 9
  D) x + 2y = 8
  Show Answer
  The correct answer is D .
• Question 847: 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 848: If x - 4 is a factor of x² - x - k, then k is Options:
  A) 4
  B) 12
  C) 20
  D) 2
  Show Answer
  The correct answer is B .
• Question 849: 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 850: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .