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 161: Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$ Options:
  A) $\frac{1-\sqrt{5}}{2}$
  B) $\frac{1-\sqrt{5}}{4}$
  C) $\frac{\sqrt{5}-1}{2}$
  D) $\frac{1+\sqrt{5}}{4}$
  Show Answer
  The correct answer is B .
• Question 162:

  The nth term of the sequence 3, 9, 27, 81.... is

  Options:
  A) 3 x 3^n-2
  B) 3 x 3^n-1
  C) 3 x 3ⁿ⁺²
  D) 3 x 3ⁿ⁺¹
  Show Answer
  The correct answer is B .
• Question 163: If 2257 is the result of subtracting 4577 from 7056 in base n, find n Options:
  A) 8$\frac{17}{30}$
  B) 9$\frac{9}{10}$
  C) 10$\frac{1}{10}$
  D) 11$\frac{11}{36}$
  Show Answer
  The correct answer is A .
• Question 164: If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W? Options:
  A) The perpendicular bisector of UV
  B) A circle with UV as radius
  C) A line parallel to the line UV
  D) A circle with the line UV as the diameter
  Show Answer
  The correct answer is D .
• Question 165:

  

  From the venn diagram above, the complement of the set P$\cap$Q is given by

  Options:
  A) {a, b, d, e}
  B) {b, d}
  C) {a, e}
  D) {c}
  Show Answer
  The correct answer is D .
• Question 166: 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 167: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 168: The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression. Options:
  A) $\frac{1}{4}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\frac{1}{\sqrt{3}}$
  D) $\frac{1}{\sqrt{2}}$
  Show Answer
  The correct answer is B .
• Question 169: The inverse function f(x) = 3x + 4 is Options:
  A) (x-4)/3
  B) (x-5)/5
  C) (x+3)/4
  D) (x+4)/3
  Show Answer
  The correct answer is A .
• Question 170: If y = x sinx, find dy/dx when x = π/2. Options:
  A) -π/2
  B) -1
  C) 1
  D) π/2
  Show Answer
  The correct answer is C .