Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 70 · 40 sums

The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

1. 1.Are 4, 8, 7 and 17 in proportion? (a) Yes (b) No
2. 2.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
3. 3.If 5 ice creams cost ₹85, how many rupees do 7 ice creams cost?
4. 4.Write the ratio 14 : 49 in its simplest form. (a) 14 : 49 (b) 2 : 7 (c) 7 : 2 (d) 3 : 8
5. 5.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
6. 6.A class has 2 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 4 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
7. 7.Write the ratio 81 : 45 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 9 : 5 (d) 81 : 45
8. 8.If 2 chocolates cost ₹24, how many rupees do 6 chocolates cost?
9. 9.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
10. 10.₹2380 is shared between Farhan and Rohan in the ratio 8 : 9. How many rupees does Rohan get?
11. 11.If 8 notebooks cost ₹216, how many rupees do 4 notebooks cost?
12. 12.Are 42, 54, 21 and 29 in proportion? (a) Yes (b) No
13. 13.A basket has 6 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 10 (b) 3 : 5 (c) 4 : 6 (d) 5 : 3
14. 14.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
15. 15.Are 2, 14, 4 and 31 in proportion? (a) Yes (b) No
16. 16.₹1260 is shared between Saanvi and Diya in the ratio 5 : 9. How many rupees does Saanvi get?
17. 17.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 4 hours?
18. 18.₹1560 is shared between Saanvi and Ishaan in the ratio 6 : 7. How many rupees does Saanvi get?
19. 19.5 : 6 = ? : 24
20. 20.₹700 is shared between Vivaan and Rohan in the ratio 1 : 6. How many rupees does Rohan get?
21. 21.A library shelf has 40 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 40 : 48
22. 22.A basket has 6 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 6 : 15 (d) 3 : 6
23. 23.A class has 6 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 4 : 9 (c) 6 : 16 (d) 3 : 8
24. 24.5 : 9 = 15 : ?
25. 25.₹1190 is shared between Arjun and Aarav in the ratio 2 : 5. How many rupees does Arjun get?
26. 26.If 6 chocolates cost ₹192, how many rupees do 5 chocolates cost?
27. 27.Are 2, 18, 9 and 81 in proportion? (a) No (b) Yes
28. 28.Are 30, 35, 24 and 31 in proportion? (a) No (b) Yes
29. 29.A scooter goes 250 km in 5 hours. At the same speed, how many km does it go in 6 hours?
30. 30.Write the ratio 32 : 56 in its simplest form. (a) 5 : 8 (b) 32 : 56 (c) 4 : 7 (d) 7 : 4
31. 31.₹490 is shared between Lakshmi and Meera in the ratio 3 : 4. How many rupees does Meera get?
32. 32.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
33. 33.₹1400 is shared between Pooja and Joseph in the ratio 1 : 6. How many rupees does Joseph get?
34. 34.5 : 6 = 10 : ?
35. 35.Are 6, 18, 7 and 24 in proportion? (a) No (b) Yes
36. 36.₹440 is shared between Lakshmi and Farhan in the ratio 3 : 8. How many rupees does Lakshmi get?
37. 37.2 : 3 = 10 : ?
38. 38.Write the ratio 35 : 45 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 35 : 45
39. 39.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 4 hours?
40. 40.₹2040 is shared between Farhan and Gurpreet in the ratio 5 : 7. How many rupees does Farhan get?

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