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 831:

  If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2.

  Options:
  A) P = 98R²
  B) PR² = 98
  C) P = $\frac{1}{98R^2}$
  D) P = $\frac{P{R}^2}{98}$
  Show Answer
  The correct answer is B .
• Question 832: Solve the equation (x - 2) (x - 3) = 12 Options:
  A) 2, 3
  B) 3, 6
  C) -1, 6
  D) 1, -6
  Show Answer
  The correct answer is C .
• Question 833: The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b Options:
  A) 2
  B) 4
  C) $\sqrt{10}$
  D) 35
  E) 2.2
  Show Answer
  The correct answer is C .
• Question 834: What is the number whose logarithm to base 10 is 2.3482? Options:
  A) 223
  B) 2228
  C) 2.235
  D) 22.37
  E) 0.2229
  Show Answer
  The correct answer is E .
• Question 835: A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively? Options:
  A) 5kg
  B) 16kg
  C) 19kg
  D) 6kg
  Show Answer
  The correct answer is A .
• Question 836: If cos x = $\sqrt{\frac{a}{b}}$ find coses x Options:
  A) $\frac{b}{\sqrt{b-a}}$
  B) $\sqrt{\frac{b}{a}}$
  C) $\sqrt{\frac{b}{b-a}}$
  D) $\sqrt{\frac{b-a}{a}}$
  Show Answer
  The correct answer is C .
• Question 837: Simplify $\frac{x-7}{x^2-9}$ x $\frac{x^2-3x}{x^2-49}$ Options:
  A) $\frac{x}{(x-3)(x-7)}$
  B) $\frac{x}{(x+3)(x-7)}$
  C) $\frac{x}{(x+3)(x+7)}$
  D) $\frac{x}{(x-3)(x+7)}$
  Show Answer
  The correct answer is C .
• Question 838: Factorize k² - 2kp + p². Options:
  A) (k +p)²
  B) (k - p)²
  C) k² + p²
  D) k² - p²
  Show Answer
  The correct answer is B .
• Question 839:

  

  In the diagram, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm. TQ = 8cm and TS = 12cm, find TR.

  Options:
  A) 16cm
  B) 14cm
  C) 12cm
  D) 8cm
  Show Answer
  The correct answer is A .
• Question 840: If y = x sinx, find $\frac{dy}{dx}$ Options:
  A) sin x - x cosx
  B) sinx + x cosx
  C) sinx - cosx
  D) sinx + cosx
  Show Answer
  The correct answer is B .