Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 53 · 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.Write the ratio 56 : 16 in its simplest form. (a) 8 : 3 (b) 7 : 2 (c) 2 : 7 (d) 56 : 16
2. 2.1 : 6 = ? : 42
3. 3.Write the ratio 20 : 45 in its simplest form. (a) 9 : 4 (b) 20 : 45 (c) 4 : 9 (d) 5 : 10
4. 4.A garden has 15 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 8 (b) 6 : 9 (c) 15 : 24 (d) 8 : 5
5. 5.1 : 9 = ? : 90
6. 6.Write the ratio 49 : 56 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 49 : 56 (d) 8 : 7
7. 7.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
8. 8.If 9 ice creams cost ₹90, how many rupees do 8 ice creams cost?
9. 9.A library shelf has 30 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 30 : 24 (b) 5 : 4 (c) 4 : 5 (d) 6 : 5
10. 10.Write the ratio 56 : 8 in its simplest form. (a) 1 : 7 (b) 8 : 2 (c) 56 : 8 (d) 7 : 1
11. 11.If 6 bus tickets cost ₹36, how many rupees do 4 bus tickets cost?
12. 12.₹1300 is shared between Farhan and Sneha in the ratio 4 : 9. How many rupees does Farhan get?
13. 13.A library shelf has 42 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 4 (b) 3 : 7 (c) 42 : 18 (d) 7 : 3
14. 14.If 8 pens cost ₹424, how many rupees do 10 pens cost?
15. 15.A basket has 2 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 2 (b) 2 : 3 (c) 2 : 1 (d) 2 : 4
16. 16.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 8 hours?
17. 17.₹990 is shared between Meera and Rohan in the ratio 1 : 8. How many rupees does Meera get?
18. 18.Write the ratio 56 : 21 in its simplest form. (a) 8 : 3 (b) 56 : 21 (c) 3 : 8 (d) 9 : 4
19. 19.2 : 3 = 6 : ?
20. 20.Write the ratio 54 : 12 in its simplest form. (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 54 : 12
21. 21.₹900 is shared between Dev and Kabir in the ratio 3 : 7. How many rupees does Dev get?
22. 22.Are 16, 28, 32 and 58 in proportion? (a) Yes (b) No
23. 23.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
24. 24.If 9 mangoes cost ₹162, how many rupees do 3 mangoes cost?
25. 25.₹1140 is shared between Manav and Vivaan in the ratio 1 : 5. How many rupees does Manav get?
26. 26.1 : 9 = ? : 81
27. 27.If 7 chocolates cost ₹343, how many rupees do 4 chocolates cost?
28. 28.Write the ratio 48 : 18 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 48 : 18 (d) 8 : 3
29. 29.If 2 chocolates cost ₹30, how many rupees do 8 chocolates cost?
30. 30.7 : 8 = 14 : ?
31. 31.2 : 5 = ? : 35
32. 32.1 : 2 = 4 : ?
33. 33.Write the ratio 72 : 9 in its simplest form. (a) 1 : 8 (b) 8 : 1 (c) 72 : 9 (d) 9 : 2
34. 34.Write the ratio 81 : 18 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 10 : 3 (d) 81 : 18
35. 35.Are 3, 24, 2 and 16 in proportion? (a) Yes (b) No
36. 36.A basket has 2 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 2 : 6 (d) 2 : 4
37. 37.₹1800 is shared between Saanvi and Manav in the ratio 4 : 5. How many rupees does Saanvi get?
38. 38.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 4 : 1 (d) 16 : 4
39. 39.4 : 9 = ? : 27
40. 40.If 2 pens cost ₹100, how many rupees do 10 pens cost?

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