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 541: A girl walks 45 meters in the direction 050^o from a point Q to a point X. She then walks 24 meters in the direction 140^o from X to a point Y. How far is she then from Q? Options:
  A) 69m
  B) 57m
  C) 51m
  D) 21m
  Show Answer
  The correct answer is C .
• Question 542:

  Two binary operations $\ast$ and $\oplus$ are defines as m $\ast$ n = mn - n - 1 and m $\oplus$ n = mn + n - 2 for all real numbers m, n.

  Find the value of 3 $\oplus$ (4 $\ast$ 50)

  Options:
  A) 60
  B) 57
  C) 54
  D) 42
  Show Answer
  The correct answer is C .
• Question 543: Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2 Options:
  A) $\frac{64}{5}$
  B) 6
  C) $\frac{5}{34}$
  D) $\frac{-5}{34}$
  E) $\frac{-64}{5}$
  Show Answer
  The correct answer is D .
• Question 544: 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 545: The graphical method of solving the equation x³ + 3x² + 4x - 28 = 0 is by drawing the graphs of the curves Options:
  A) y = x³ and y = 3x² + x - 28
  B) y = x³ + 3x² + 4x + 4 and the line y = $\frac{28}{x}$
  C) y = x³ + 3x² + 4x and y
  D) y = x² + 3x + 4 and y = $\frac{28}{x}$
  E) y = x² + 3x + 4 and line y = 28x
  Show Answer
  The correct answer is D .
• Question 546: 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 547:

  The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

  Options:
  A) 24 m
  B) 32√3 m
  C) 24√3
  D) 32 m
  Show Answer
  The correct answer is D .
• Question 548: A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red? Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{15}$
  C) $\frac{1}{2}$
  D) $\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 549: If y = (1 + x)², find $\frac{dy}{dx}$ Options:
  A) x - 1
  B) 2 + 2x
  C) 1 + 2x
  D) 2x - 1
  Show Answer
  The correct answer is B .
• Question 550:

  

  In the diagram above, QR is in the diameter of the semicircle QR. Find the areas of the figure to the nearest whole number.

  Options:
  A) 89 cm²
  B) 70 cm²
  C) 90 cm²
  D) 80 cm²
  Show Answer
  The correct answer is C .