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 2821:

  If the binary operation $\ast$ is defined by m $\ast$ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

  Options:
  A) e = 1
  B) e = -1
  C) e = -2
  D) e = 0
  Show Answer
  The correct answer is D .
• Question 2822: An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7] Options:
  A) 70^o
  B) 84^o
  C) 96^o
  D) 156^o
  E) 168^o
  Show Answer
  The correct answer is B .
• Question 2823: Which of the following binary operations is cumulative in the set of integers? Options:
  A) a $\ast$ b = a + 2b
  B) a $\ast$ b = a + b - ab
  C) a $\ast$ b = a² + b
  D) a $\ast$ b = $\frac{a(b+1)}{2}$
  Show Answer
  The correct answer is C .
• Question 2824: 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 2825: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 2826: If $\frac{9^{2x-1}}{{27}^{x+1}}=1$find the value of x. Options:
  A) 8
  B) 5
  C) 3
  D) 2
  Show Answer
  The correct answer is B .
• Question 2827: Evaluate $\frac{\frac{3}{8}÷\frac{1}{2}-\frac{1}{3}}{\frac{1}{8}\times \frac{2}{3}+\frac{1}{3}}$ Options:
  A) $\frac{1}{4}$
  B) $\frac{1}{3}$
  C) $\frac{1}{2}$
  D) 1
  Show Answer
  The correct answer is D .
• Question 2828: 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 2829:

  The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

  Options:
  A) 15.5%
  B) 18.2%
  C) 14.8%
  D) 16.7%
  Show Answer
  The correct answer is D .
• Question 2830:

  The angle of a sector of acircle, radius 10.5cm, is 48°,Calculate the perimeter of the sector

  Options:
  A) 8.8cm
  B) 25.4cm
  C) 25.6cm
  D) 29.8cm
  Show Answer
  The correct answer is D .