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 1091:

  Find the variance of the numbers k, k+1, k+2.

  Options:
  A) $\frac{2}{3}$
  B) 1
  C) k + 1
  D) (k + 1)²
  Show Answer
  The correct answer is A .
• Question 1092: A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30${}^{\circ }$. Determine the height of the tower. Options:
  A) $\frac{40\sqrt{3}}{3}m$
  B) 20 m
  C) 40√3 m
  D) 40 m
  Show Answer
  The correct answer is A .
• Question 1093: The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity? Options:
  A) $\frac{59300}{625}$
  B) $\frac{50900}{625}$
  C) 200%
  D) +100%
  Show Answer
  The correct answer is C .
• Question 1094: 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 1095:

  A man invested a sum of ₦280.00 partly at 5% and partly at 4%. if the total interest is ₦12.90 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 1096: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 1097: The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{4}$
  C) 4
  D) 25
  Show Answer
  The correct answer is A .
• Question 1098: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 1099: Find $\frac{dy}{dx}$, if y = $\frac{2}{3}$ X³ - $\frac{4}{x}$ Options:
  A) 3x² - $\frac{4}{x}$
  B) 2x² +$\frac{4}{x^2}$
  C) 3x² + $\frac{4}{x^2}$
  D) 2x² - $\frac{4}{x}$
  Show Answer
  The correct answer is B .
• Question 1100: A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively. Options:
  A) (0,-2) and (-1, -4)
  B) (-1,0) and (-1,-1)
  C) (-2,1) and (0,1)
  D) (-2,1) and (-1,-4)
  Show Answer
  The correct answer is D .