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 2241: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 2242: The 4th term of a G.P is 3 and its first term is 81. What is its common ratio? Options:
  A) 3
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) -$\frac{1}{3}$
  E) -3
  Show Answer
  The correct answer is C .
• Question 2243: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 2244: If α and β are the roots of the equation 3x² + bx − 2 = 0. Find the value of $\frac{1}{\alpha }$ + $\frac{1}{\beta }$ Options:
  A) $\frac{-5}{3}$
  B) $\frac{-2}{3}$
  C) $\frac{1}{2}$
  D) $\frac{5}{2}$
  Show Answer
  The correct answer is D .
• Question 2245:

  Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

  Options:
  A) x = 3 or 7, y = 12 or 8
  B) x = 6 or 1, y = 11 or 5
  C) x = 2 or 5, y = 15 or 6
  D) x = 1 or 5, y = 10 or 7
  Show Answer
  The correct answer is C .
• Question 2246: Integrate $\frac{1}{x}$ + cos x with respect to x Options:
  A) -$\frac{1}{x^2}$ + sin x + k
  B) x + sin x - k
  C) x - sin x + k
  D) -$\frac{1}{x^2}$ - sin x + k
  Show Answer
  The correct answer is C .
• Question 2247: Simplify $\frac{(1.25\times {10}^{-4})\times (2.0\times {10}^{-1})}{(6.25\times {10}^5)}$ Options:
  A) 4.0 x 10^-3
  B) 5.0 x 10^-2
  C) 2.0 x 10^-1
  D) 5.0 x 10^-3
  Show Answer
  The correct answer is A .
• Question 2248: A banking recipe calls for 2.5kg of sugar and 4.5kg of flour. With this recipe some cakes were baked Using 24.5kg of a mixture of sugar and flour. How much sugar was used? Options:
  A) 12.25kg
  B) 6.75kg
  C) 8.75kg
  D) 15.75kg
  E) 8.25kg
  Show Answer
  The correct answer is C .
• Question 2249: An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs ₦2.00 to paint one square meter Options:
  A) ₦96.00
  B) ₦112.00
  C) ₦136.00
  D) ₦160.00
  Show Answer
  The correct answer is B .
• Question 2250:

  Evaluate: ${\int }_0^z(sinx-cosx)dx$
  Where $z=\frac{\pi }{4}.(\pi =pi)$

  Options:
  A) $\sqrt{2+1}$
  B) $\sqrt{2}-1$
  C) $-\sqrt{2}-1$
  D) $1-\sqrt{2}$
  Show Answer
  The correct answer is B .