CBSE Class 8 Maths Proportional Reasoning 2 (Class 8 NCERT New) Quiz 2

1. In Example 4, a purple paint is mixed in the ratio Red : Blue : White :: 2 : 3 : 5. If you need 50 ml of purple paint, how many millilitres of red, blue, and white paint will you mix?

A Red 5 ml, Blue 10 ml, White 35 ml B Red 10 ml, Blue 15 ml, White 25 ml C Red 15 ml, Blue 20 ml, White 15 ml D Red 20 ml, Blue 15 ml, White 15 ml

2. A cricket coach schedules practice sessions that include different activities in a specific ratio — time for warm-up/cool-down : time for batting : time for bowling : time for fielding :: 3 : 4 : 3 : 5. If each session is 150 minutes long, how much time is spent on each activity in minutes, in the same order?

A 30, 40, 30, 50 B 25, 35, 30, 60 C 20, 40, 40, 50 D 35, 45, 25, 45

3. A school library has books in different languages in the ratio number of Odiya books : number of Hindi books : number of English books :: 3 : 2 : 1. If the library has 288 Odiya books, how many Hindi and English books does it have, respectively?

A 192 and 96 B 180 and 90 C 200 and 100 D 144 and 72

4. There are 100 coins in the ratio number of ₹10 coins : number of ₹5 coins : number of ₹2 coins : number of ₹1 coins :: 4 : 3 : 2 : 1. How much total money is there in these coins?

A ₹600 B ₹550 C ₹500 D ₹650

5. Construct a triangle with side lengths in the ratio 3 : 4 : 5. Will all triangles drawn with this ratio of side lengths be congruent to each other? Choose the best answer.

A No. Triangles with side lengths in the same ratio are similar; they are congruent only if the actual side lengths are equal. B Yes. Any triangles with sides in the ratio 3 : 4 : 5 are always congruent. C Yes. All triangles with equal angles are automatically congruent. D No. Such triangles are neither similar nor congruent.

6. Can you construct a triangle with side lengths in the ratio 1 : 3 : 5? Choose the best answer.

A No. The sum of the two shorter sides is less than the longest side, so a triangle cannot be formed. B Yes. Any three positive lengths in a ratio can form a triangle. C Yes, but only a right triangle can be formed with this ratio. D No. The perimeter would be too large to construct with a ruler.

7. For the pie chart of grade distribution where the number of students scoring grades A, B, C, D, E are 12, 10, 8, 6, 4 respectively (total angle around a circle is 360°), how should the slices be marked?

A The angle for each grade should be proportional to the number of students with that grade. B Each grade should be marked with equal angles since all are grades. C The largest grade should be assigned 180° and the rest split equally. D The slice angles should be chosen arbitrarily as long as they add to 360°.

8. For the ratio of students scoring grades A : B : C : D : E = 12 : 10 : 8 : 6 : 4 in a pie chart, can this ratio be reduced to its simplest form?

A Yes, it reduces to 6 : 5 : 4 : 3 : 2. B No, it is already in simplest form. C Yes, it reduces to 12 : 10 : 8 : 6 : 4. D Yes, it reduces to 3 : 2 : 2 : 1 : 1.

9. A group of 360 people were asked to vote for their favourite season from rainy, winter and summer. 90 liked the summer season, 120 liked the rainy season, and the rest liked the winter season. What are the central angles (in degrees) for the three sectors summer, rainy and winter, respectively, in a pie chart?

A 90°, 120°, 150° B 120°, 90°, 150° C 100°, 120°, 140° D 80°, 120°, 160°

10. Based on viewers’ favourite type of TV channel — Entertainment 50%, Sports 25%, News 15%, Information 10% — what are the central angles (in degrees) for Entertainment, Sports, News and Information, respectively, in a pie chart?

A 180°, 90°, 54°, 36° B 150°, 90°, 60°, 60° C 120°, 120°, 72°, 48° D 200°, 80°, 60°, 20°