Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 408 · 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.If 6 bus tickets cost ₹54, how many rupees do 11 bus tickets cost?
2. 2.Write the ratio 21 : 7 in its simplest form. (a) 21 : 7 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2
3. 3.A library shelf has 48 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 48 : 42 (c) 9 : 8 (d) 7 : 8
4. 4.₹1600 is shared between Manav and Ananya in the ratio 7 : 9. How many rupees does Manav get?
5. 5.Write the ratio 24 : 27 in its simplest form. (a) 9 : 8 (b) 24 : 27 (c) 9 : 10 (d) 8 : 9
6. 6.If 3 pens cost ₹18, how many rupees do 11 pens cost?
7. 7.Write the ratio 27 : 21 in its simplest form. (a) 10 : 8 (b) 9 : 7 (c) 7 : 9 (d) 27 : 21
8. 8.Write the ratio 72 : 32 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 72 : 32
9. 9.2 : 3 = ? : 21
10. 10.1 : 7 = 10 : ?
11. 11.A library shelf has 14 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 14 : 12 (b) 6 : 7 (c) 8 : 7 (d) 7 : 6
12. 12.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
13. 13.4 : 5 = ? : 40
14. 14.Write the ratio 18 : 6 in its simplest form. (a) 1 : 3 (b) 18 : 6 (c) 4 : 2 (d) 3 : 1
15. 15.A box has 40 red pens and 5 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 40 : 5 (d) 8 : 1
16. 16.Write the ratio 72 : 64 in its simplest form. (a) 8 : 9 (b) 72 : 64 (c) 10 : 9 (d) 9 : 8
17. 17.Write the ratio 56 : 49 in its simplest form. (a) 7 : 8 (b) 56 : 49 (c) 9 : 8 (d) 8 : 7
18. 18.1 : 6 = 5 : ?
19. 19.1 : 4 = ? : 8
20. 20.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
21. 21.₹2800 is shared between Arjun and Riya in the ratio 5 : 9. How many rupees does Riya get?
22. 22.Write the ratio 35 : 7 in its simplest form. (a) 35 : 7 (b) 1 : 5 (c) 6 : 2 (d) 5 : 1
23. 23.A basket has 10 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 6 : 3 (c) 10 : 4 (d) 5 : 2
24. 24.A basket has 24 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 1 (b) 24 : 8 (c) 4 : 2 (d) 1 : 3
25. 25.Are 25, 35, 35 and 49 in proportion? (a) Yes (b) No
26. 26.5 : 6 = 40 : ?
27. 27.1 : 7 = ? : 35
28. 28.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 6 hours?
29. 29.A train goes 260 km in 4 hours. At the same speed, how many km does it go in 2 hours?
30. 30.7 : 9 = 28 : ?
31. 31.₹270 is shared between Meera and Lakshmi in the ratio 1 : 8. How many rupees does Lakshmi get?
32. 32.If 8 chocolates cost ₹176, how many rupees do 3 chocolates cost?
33. 33.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
34. 34.Are 6, 9, 14 and 22 in proportion? (a) Yes (b) No
35. 35.If 4 notebooks cost ₹84, how many rupees do 2 notebooks cost?
36. 36.₹110 is shared between Diya and Kabir in the ratio 3 : 8. How many rupees does Diya get?
37. 37.A garden has 3 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 1 (b) 3 : 18 (c) 1 : 6 (d) 2 : 7
38. 38.A basket has 8 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 9 : 1 (c) 8 : 72 (d) 2 : 10
39. 39.4 : 7 = 36 : ?
40. 40.Write the ratio 12 : 8 in its simplest form. (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 12 : 8

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