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 1461: Simplify $\frac{x^2+y^2+xy}{x+y}$ - $\frac{x^2+y^2}{x-y}$ Options:
  A) $\frac{x^2+y^2}{(x-y{)}^2}$
  B) $\frac{2y^3}{y^2-x^2}$
  C) $\frac{3x^2+y^2}{(2x-y{)}^2}$
  D) $\frac{x^2+y^2}{(x^2-y)}$
  Show Answer
  The correct answer is B .
• Question 1462: Rationalize $\frac{\sqrt{6}-\sqrt{4}}{\sqrt{6}+\sqrt{4}}$ Options:
  A) 5 + 2 $\sqrt{6}$
  B) 5 - 4 $\sqrt{6}$
  C) 5 + 4 $\sqrt{6}$
  D) 5 - 2 $\sqrt{6}$
  Show Answer
  The correct answer is D .
• Question 1463: Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k. Options:
  A) y = k + or - 4
  B) y = 4 + or - k
  C) y = 4 + k
  D) y = k - 4
  Show Answer
  The correct answer is A .
• Question 1464: If p = varies inversely as the square of q and p=8 when q=4, find when p=32 Options:
  A) +/-16
  B) +/-8
  C) +/-4
  D) +/-2
  Show Answer
  The correct answer is D .
• Question 1465: By selling 20 oranges for ₦1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10? Options:
  A) 8%
  B) 10%
  C) 12%
  D) 15%
  Show Answer
  The correct answer is C .
• Question 1466: Simplify $\frac{1}{\sqrt{3}+2}$ in the form $a+b\sqrt{3}$ Options:
  A) 2 -√3
  B) -2 - √3
  C) 2 + √3
  D) -2 + √3
  Show Answer
  The correct answer is A .
• Question 1467:

  Simplify 25${}^{\frac{1}{2}}$ × 8${}^{\frac{-2}{3}}$

  Options:
  A) 1$\frac{1}{4}$
  B) 2$\frac{1}{4}$
  C) 6
  D) 10
  Show Answer
  The correct answer is A .
• Question 1468: If the mean of five consecutive integers is 30, find the largest of the numbers Options:
  A) 28
  B) 30
  C) 32
  D) 34
  Show Answer
  The correct answer is C .
• Question 1469: Find a factor which is common to all 3 binomial expressions $4a^2-9b^2,8a^3+27b^3,(4a+6b{)}^2$. Options:
  A) 4a + 6b
  B) 4a - 6b
  C) 2a + 3b
  D) 2a - 3b
  E) None
  Show Answer
  The correct answer is C .
• Question 1470: Evaluate $\frac{(05652-04375{)}^2}{0.04}$ correct to three significant figures Options:
  A) 3.11
  B) 3.13
  C) 0.313
  D) 3.12
  Show Answer
  The correct answer is B .