CBSE Class 8 Maths Proportional Reasoning 1 (Class 8 NCERT New) Quiz 4

1. A mason is building a house in the shape shown. To build a wall of 10 feet, he requires approximately 1450 bricks. How many bricks would he need to build both the outer walls and the inner wall that separates two rooms? Assume all walls are of the same height and thickness.

A 10,150 bricks B 12,180 bricks C 13,050 bricks D 14,500 bricks

2. Puneeth’s father went from Lucknow to Kanpur in 2 hours by riding his motorcycle at a speed of 50 km/h. If he drives at 75 km/h, how long will it take him to reach Kanpur (for the same route)?

A 2 hours B 1 hour 20 minutes C 1 hour 30 minutes D 2 hours 15 minutes

3. Can this travel-time problem be modelled as the proportion 50 : 2 :: 75 : x?

A Yes, because speed and time are directly proportional. B No, because speed and time are inversely proportional for a fixed distance. C Yes, because the ratios remain equal for the same distance. D Cannot be decided without knowing the distance.

4. For the sample data of one shampoo brand—Sachet: 6 mL at ₹2; Small bottle: 180 mL at ₹154; Medium bottle: 340 mL at ₹276; Large bottle: 1000 mL at ₹540—are the prices proportional to the volumes?

A Yes, the prices are proportional to the volumes. B No, the prices are not proportional to the volumes. C They are proportional only for the medium and large bottles. D They are proportional only for the sachet and small bottle.

5. Comparing a sachet (6 mL at ₹2) to a small bottle (180 mL at ₹154), are the ratios of volume and price proportional?

A Yes, both ratios simplify to the same value. B No, because 6 : 180 is not proportional to 2 : 154. C Yes, because both are packages of the same product. D Cannot be determined without more data.

6. Why is the ratio of prices often not proportional to the ratio of volumes for the same shampoo in different-size containers?

A Smaller packages have higher packaging and distribution cost per unit volume, increasing price per mL. B The listed volumes are incorrect for smaller packages. C Taxes make larger bottles cost much more per mL than sachets. D Companies always offer the biggest discount on sachets, making them cheaper per mL.

7. You collect 12 counters and divide them equally between two people. What is the ratio of the number of counters with each person?

A 1 : 1 B 2 : 1 C 3 : 1 D 5 : 7

8. If your partner gets 5 counters (out of 12), how many counters do you get and what is the ratio of your partner’s counters to yours?

A 7 counters; 5 : 7 B 7 counters; 7 : 5 C 6 counters; 1 : 1 D 5 counters; 1 : 1

9. If you want to share 12 counters between two people in the ratio 3 : 1, how many counters would each person get?

A 6 and 6 B 9 and 3 C 8 and 4 D 10 and 2

10. You want to share 42 counters between two people in the ratio 4 : 3. What is the size of each group when the whole is divided into groups according to the ratio?

A 4 B 6 C 7 D 12