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 271:

  X and Y are two sets such that nX = 15, nY = 12 and n{X ∩ Y} = 7. Find n{X ∪ Y}.

  Options:
  A) 21
  B) 225
  C) 15
  D) 20
  Show Answer
  The correct answer is D .
• Question 272: If log₁₀2 = 0.3010 and log₁₀3 = 0.4771, evaluate; without using logarithm tables, log₁₀4.5 Options:
  A) 0.3010
  B) 0.4771
  C) 0.6532
  D) 0.9542
  Show Answer
  The correct answer is C .
• Question 273: A man invested a sum of ₦280.00 partly at 5% and partly at 4%, if the total interest is ₦12.80 per annum, find the amount invested at 5%. Options:
  A) ₦14.00
  B) ₦120.00
  C) ₦140.00
  D) ₦160.00
  Show Answer
  The correct answer is D .
• Question 274: Find the value of x if $[1÷{64}^{(x+2)}]=[4^{(x-3)}÷{16}^x]$ Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $-\frac{3}{2}$
  Show Answer
  The correct answer is D .
• Question 275: If y = x² - $\frac{1}{x}$, find $\frac{\delta y}{\delta x}$ Options:
  A) 2x - $\frac{1}{x^2}$
  B) 2x + x²
  C) 2x - x²
  D) 2x + $\frac{1}{x^2}$
  Show Answer
  The correct answer is D .
• Question 276:

  Evaluate log₇17

  Options:
  A) 1.35
  B) 1.353
  C) 1.455
  D) 0.455
  Show Answer
  The correct answer is C .
• Question 277: Integrate $\frac{2x^3+2x}{x}$ with respect to x Options:
  A) $\frac{2x^3}{3}$ - 2x + k
  B) x³ + 2x + k
  C) $\frac{2x^3}{3}$ + 2x + k
  D) x³ - 2x + k
  Show Answer
  The correct answer is C .
• Question 278: PRSQ is a trapezium of area 14cm² in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm² Options:
  A) 7.0
  B) 6.0
  C) 5.2
  D) 5.0
  Show Answer
  The correct answer is B .
• Question 279: A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours? Options:
  A) 120km/hr
  B) 60km/hr
  C) 670km/hr
  D) 40km/hr
  Show Answer
  The correct answer is B .
• Question 280:

  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 .