Applications and Word Problems Quiz - CBSE Class 8 Mathematics

Free practice quiz: Applications and Word Problems (CBSE Class 8 Mathematics). 11 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. The sum of three consecutive integers is 36. What are the integers?

   1. 10, 11, 12
   2. 11, 12, 13
   3. 12, 13, 14
   4. 13, 14, 15
   Show answer

   Answer: B. 11, 12, 13

   Let the three consecutive integers be x, x+1, and x+2. Their sum is 3x + 3 = 36. Solving for x, we get x = 11. Therefore, the integers are 11, 12, and 13.

2. The length of a rectangle is 5 cm more than its width. If the perimeter is 38 cm, find the length and width.

   1. Length = 12cm, Width = 7cm
   2. Length = 11cm, Width = 6cm
   3. Length = 13cm, Width = 8cm
   4. Length = 14cm, Width = 9cm
   Show answer

   Answer: A. Length = 12cm, Width = 7cm

   Let the width be x. The length is x + 5. The perimeter is 2(x + x + 5) = 38. Solving for x, we get x = 7 (width). The length is 7 + 5 = 12.

3. Two angles are supplementary. One angle is 20 degrees more than twice the other. Find the measure of the smaller angle.

   1. 50
   2. 60
   3. 30
   4. 40
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   Answer: C. 30

   Let one angle be x. The other angle is 2x + 20. Since they are supplementary, x + 2x + 20 = 180. Solving for x, we get x = 30.

4. The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, the new fraction is 2/3. Find the original fraction.

   1. 1/4
   2. 2/5
   3. 3/6
   4. 4/7
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   Answer: D. 4/7

   Let the denominator be x. The numerator is x - 3. The equation is (x - 3 + 2)/(x + 2) = 2/3. Solving for x gives x = 7. The original fraction is 4/7.

5. A boat travels 16 km upstream and 24 km downstream in 6 hours. It travels 36 km upstream and 48 km downstream in 13 hours. Find the speed of the boat in still water and the speed of the current.

   1. Speed of boat = 8 km/hr, Speed of current = 2 km/hr
   2. Speed of boat = 10 km/hr, Speed of current = 4 km/hr
   3. Speed of boat = 6 km/hr, Speed of current = 2 km/hr
   4. Speed of boat = 12 km/hr, Speed of current = 4 km/hr
   Show answer

   Answer: B. Speed of boat = 10 km/hr, Speed of current = 4 km/hr

   Let the speed of the boat in still water be x km/hr and the speed of the current be y km/hr. Upstream speed = x - y, downstream speed = x + y. We have two equations: 16/(x - y) + 24/(x + y) = 6 and 36/(x - y) + 48/(x + y) = 13. Solving these simultaneous equations (using substitution or elimination) gives x = 10 and y = 4.

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