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 181: 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 .
• Question 182: If (159.75)₁₀ = (y)₆. Find x Options:
  A) x₆ = 123.34₆
  B) x₆ = 424.5₆
  C) x₆ = 122.43₆
  D) x₆ = 124.45₆
  Show Answer
  The correct answer is B .
• Question 183: The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is Options:
  A) n(3n - 0.5)
  B) n(3n + 2)
  C) n(3n + 2.5)
  D) n(3n + 5)
  Show Answer
  The correct answer is B .
• Question 184: 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 185: 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 186: Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3). Options:
  A) 4
  B) 6
  C) 3
  D) zero
  Show Answer
  The correct answer is D .
• Question 187: Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96 Options:
  A) 1400
  B) 1040
  C) 960
  D) 920
  Show Answer
  The correct answer is B .
• Question 188:

  Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

  Options:
  A) 1920cm${}^2$
  B) 592cm${}^2$
  C) 296cm${}^2$
  D) 148cm${}^2$
  Show Answer
  The correct answer is B .
• Question 189: Evaluate 0.0025 × 2.5 × 102 to 2 significant figures. Options:
  A) 0.625 × 10^-3
  B) 0.63 × 10^-2
  C) 6.25 × 10^-3
  D) 6.3 × 10^-2
  E) 6.3 × 10^-1
  Show Answer
  The correct answer is E .
• Question 190: If P = $\left|\begin{array}{cc}5& 3\\ 2& 1\end{array}\right|$ and Q = $\left|\begin{array}{cc}4& 2\\ 3& 5\end{array}\right|$, find 2P + Q Options:
  A) $\left|\begin{array}{cc}7& 7\\ 14& 8\end{array}\right|$
  B) $\left|\begin{array}{cc}14& 8\\ 7& 7\end{array}\right|$
  C) $\left|\begin{array}{cc}7& 7\\ 8& 14\end{array}\right|$
  D) $\left|\begin{array}{cc}8& 14\\ 7& 7\end{array}\right|$
  Show Answer
  The correct answer is B .