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 961: 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 962: 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 963: 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 .
• Question 964: Convert 241 in base 5 to base 8, Options:
  A) 71₈
  B) 107₈
  C) 176₈
  D) 241₈
  Show Answer
  The correct answer is B .
• Question 965: Solve the simultaneous equations $\frac{2}{x}-\frac{2}{x}$ = 2, $\frac{4}{x}+\frac{3}{y}$ = 10 Options:
  A) x = $\frac{3}{2}$, y = $\frac{3}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = $\frac{-1}{2}$, y = $\frac{-3}{2}$
  D) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  Show Answer
  The correct answer is B .
• Question 966: Evaluate ∫sec²θ dθ Options:
  A) sec θ tan θ + k
  B) tan θ + k
  C) 2sec θ + k
  D) sec θ + k
  Show Answer
  The correct answer is B .
• Question 967: Find the derivative of y = sin(2x³ + 3x - 4) Options:
  A) cos (2x³ + 3x - 4)
  B) -cos (2x³ + 3x - 4)
  C) (6x² + 3) cos (2x³ + 3x - 4)
  D) -(6x² + 3) cos (2x³ + 3x - 4)
  Show Answer
  The correct answer is C .
• Question 968: Calculate (0.05 × 0.025) ÷ (4.25 × 3.35) and express your answer in standard form Options:
  A) 8.7796 × 10⁵
  B) 8.7796 × 10⁴
  C) 8.7796 × 10³
  D) 8.7796 × 10^-3
  E) 8.7796 × 10^-5
  Show Answer
  The correct answer is E .
• Question 969: Solve the equation for the positive values of $\theta$ less than 360^o. 3 tan $\theta$ + 2 = -1 Options:
  A) 135^o or 315^o
  B) 45^o or 135^o
  C) 315^o or 180^o
  D) 315v + 45^o
  E) 360^o or 315^o
  Show Answer
  The correct answer is A .
• Question 970: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .