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 611: A car painter charges ₦40.00 per day for himself and ₦10.00 per day for his assistant. if a fleet of cars were painted for ₦2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive? Options:
  A) ₦32.00
  B) ₦320.00
  C) ₦420.00
  D) ₦1680.00
  Show Answer
  The correct answer is B .
• Question 612:

  Find the derivative of y = ( $\frac{1}{3}$x + 6)

  Options:
  A) 2( $\frac{1}{3}$x + 6
  B) $\frac{2}{3}$ ( $\frac{1}{3}$x + 6)
  C) $\frac{2}{3}$ ( $\frac{1}{3}$x + 6)²
  D) $\frac{1}{3}$ ( $\frac{1}{3}$x + 6)²
  Show Answer
  The correct answer is B .
• Question 613: The set of value of x and y which satisfies the equations x² - y - 1 = 0 and y - 2x + 2 = 0 is Options:
  A) 1, 0
  B) 1, 1
  C) 2, 2
  D) 0, 2
  E) 1, 2
  Show Answer
  The correct answer is A .
• Question 614: If $\frac{a}{c}$ = $\frac{c}{d}$ = k, find the value of $\frac{3a^2-ac+c^2}{3b^2-bd+d^2}$ Options:
  A) 3k²
  B) 2k - k²
  C) $\frac{3b^2{k}^2-b{k}^{2}d+d{k}^2}{3b^2-bd+d^2}$
  D) k²
  Show Answer
  The correct answer is C .
• Question 615: The ratio of the areas of similar triangles is necessarily equal to Options:
  A) the ratio of the corresponding sides
  B) the ratio of the squares on corresponsing sides
  C) the ratio of the corresponding heights of the triangles
  D) half the ratio of the corresponding heights of the triangles
  E) the ratio of the corresponding bases to the heights of the triangles
  Show Answer
  The correct answer is C .
• Question 616: If b = a + cp and r = ab + $\frac{1}{2}$cp², express b² in terms of a, c, r. Options:
  A) b² = aV + 2cr
  B) b² = ar + 2c²r
  C) b² = a² = $\frac{1}{2}$ cr²
  D) b² = $\frac{1}{2}$ar² + c
  E) b² = 2cr - a²
  Show Answer
  The correct answer is E .
• Question 617: What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3? Options:
  A) $\frac{7}{10}$
  B) $\frac{3}{5}$
  C) $\frac{4}{5}$
  D) $\frac{3}{10}$
  Show Answer
  The correct answer is B .
• Question 618: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 619: A cinema halll contains a certain number of people. If 25/2% are children, 95/2% are men and 84 are women, find the number of men in the hall. Options:
  A) 63
  B) 84
  C) 113
  D) 133
  Show Answer
  The correct answer is D .
• Question 620: If x = (all prime factors of 44) and y = (all prime factors of 60), the elements of X ∪ Y and X ∩ Y respectively are Options:
  A) (2, 4, 3, 5, 11) and (4)
  B) (4, 3, 5, 11) and (3, 4)
  C) (2, 5, 11) and (2)
  D) (2, 3, 5, 11) and (2)
  Show Answer
  The correct answer is D .