Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 10 · 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.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
2. 2.3 : 8 = ? : 72
3. 3.Are 9, 12, 18 and 24 in proportion? (a) No (b) Yes
4. 4.If 4 mangoes cost ₹72, how many rupees do 12 mangoes cost?
5. 5.A basket has 10 mangoes and 25 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 10 : 25
6. 6.3 : 5 = ? : 25
7. 7.If 3 ice creams cost ₹132, how many rupees do 9 ice creams cost?
8. 8.7 : 9 = ? : 63
9. 9.If 4 pens cost ₹220, how many rupees do 2 pens cost?
10. 10.A basket has 2 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 12 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
11. 11.If 8 bus tickets cost ₹376, how many rupees do 2 bus tickets cost?
12. 12.If 6 chocolates cost ₹258, how many rupees do 3 chocolates cost?
13. 13.1 : 5 = ? : 10
14. 14.A box has 32 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 8 : 3 (d) 32 : 12
15. 15.A team has 25 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 10 (b) 25 : 45 (c) 5 : 9 (d) 9 : 5
16. 16.If 9 mangoes cost ₹234, how many rupees do 4 mangoes cost?
17. 17.A basket has 30 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 2 (b) 30 : 6 (c) 5 : 1 (d) 1 : 5
18. 18.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
19. 19.₹560 is shared between Manav and Nisha in the ratio 5 : 9. How many rupees does Manav get?
20. 20.₹550 is shared between Meera and Lakshmi in the ratio 1 : 4. How many rupees does Meera get?
21. 21.Write the ratio 40 : 25 in its simplest form. (a) 8 : 5 (b) 40 : 25 (c) 5 : 8 (d) 9 : 6
22. 22.A library shelf has 40 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 40 : 72 (b) 6 : 10 (c) 5 : 9 (d) 9 : 5
23. 23.Are 18, 30, 24 and 40 in proportion? (a) No (b) Yes
24. 24.If 3 mangoes cost ₹96, how many rupees do 4 mangoes cost?
25. 25.A box has 18 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 18 : 9 (b) 3 : 2 (c) 2 : 1 (d) 1 : 2
26. 26.₹330 is shared between Aarav and Meera in the ratio 4 : 7. How many rupees does Aarav get?
27. 27.If 2 bus tickets cost ₹94, how many rupees do 5 bus tickets cost?
28. 28.₹900 is shared between Kavya and Saanvi in the ratio 2 : 3. How many rupees does Kavya get?
29. 29.A garden has 8 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 1 (b) 1 : 4 (c) 8 : 32 (d) 2 : 5
30. 30.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 5 hours?
31. 31.₹990 is shared between Ishaan and Saanvi in the ratio 2 : 9. How many rupees does Ishaan get?
32. 32.Write the ratio 24 : 6 in its simplest form. (a) 4 : 1 (b) 24 : 6 (c) 5 : 2 (d) 1 : 4
33. 33.₹210 is shared between Vivaan and Ananya in the ratio 1 : 2. How many rupees does Ananya get?
34. 34.Are 10, 35, 6 and 23 in proportion? (a) Yes (b) No
35. 35.3 : 5 = ? : 40
36. 36.7 : 8 = 56 : ?
37. 37.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 4 hours?
38. 38.Write the ratio 56 : 21 in its simplest form. (a) 8 : 3 (b) 3 : 8 (c) 9 : 4 (d) 56 : 21
39. 39.If 6 notebooks cost ₹60, how many rupees do 3 notebooks cost?
40. 40.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?

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