Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 20 · 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 4 chocolates cost ₹36, how many rupees do 10 chocolates cost?
2. 2.If 2 bus tickets cost ₹108, how many rupees do 5 bus tickets cost?
3. 3.If 6 notebooks cost ₹72, how many rupees do 10 notebooks cost?
4. 4.If 4 notebooks cost ₹112, how many rupees do 11 notebooks cost?
5. 5.Are 6, 14, 27 and 63 in proportion? (a) No (b) Yes
6. 6.2 : 3 = 16 : ?
7. 7.If 5 chocolates cost ₹280, how many rupees do 4 chocolates cost?
8. 8.Are 6, 10, 21 and 35 in proportion? (a) Yes (b) No
9. 9.₹400 is shared between Riya and Zoya in the ratio 1 : 3. How many rupees does Zoya get?
10. 10.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 3 hours?
11. 11.Write the ratio 18 : 45 in its simplest form. (a) 3 : 6 (b) 18 : 45 (c) 5 : 2 (d) 2 : 5
12. 12.A box has 48 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 2 (b) 1 : 6 (c) 48 : 8 (d) 6 : 1
13. 13.A library shelf has 56 storybooks and 64 science books. What is the ratio of storybooks to science books in its simplest form? (a) 56 : 64 (b) 8 : 7 (c) 7 : 8 (d) 8 : 9
14. 14.Write the ratio 15 : 3 in its simplest form. (a) 5 : 1 (b) 15 : 3 (c) 1 : 5 (d) 6 : 2
15. 15.1 : 3 = 3 : ?
16. 16.5 : 9 = 15 : ?
17. 17.4 : 5 = ? : 40
18. 18.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 4 hours?
19. 19.A garden has 40 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 10 (b) 40 : 72 (c) 5 : 9 (d) 9 : 5
20. 20.₹1650 is shared between Dev and Priya in the ratio 5 : 6. How many rupees does Priya get?
21. 21.5 : 6 = ? : 18
22. 22.Are 2, 14, 5 and 35 in proportion? (a) No (b) Yes
23. 23.A garden has 27 rose plants and 63 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 7 (b) 4 : 8 (c) 27 : 63 (d) 7 : 3
24. 24.Are 15, 27, 35 and 63 in proportion? (a) Yes (b) No
25. 25.₹1360 is shared between Nisha and Kavya in the ratio 3 : 5. How many rupees does Kavya get?
26. 26.Are 9, 21, 12 and 28 in proportion? (a) No (b) Yes
27. 27.A basket has 6 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 4 : 2 (d) 6 : 2
28. 28.Write the ratio 8 : 72 in its simplest form. (a) 9 : 1 (b) 1 : 9 (c) 2 : 10 (d) 8 : 72
29. 29.If 3 chocolates cost ₹48, how many rupees do 10 chocolates cost?
30. 30.Write the ratio 14 : 2 in its simplest form. (a) 8 : 2 (b) 14 : 2 (c) 7 : 1 (d) 1 : 7
31. 31.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 4 hours?
32. 32.Are 20, 32, 45 and 72 in proportion? (a) No (b) Yes
33. 33.3 : 5 = ? : 45
34. 34.5 : 8 = ? : 64
35. 35.Write the ratio 28 : 21 in its simplest form. (a) 28 : 21 (b) 5 : 4 (c) 3 : 4 (d) 4 : 3
36. 36.If 8 notebooks cost ₹296, how many rupees do 2 notebooks cost?
37. 37.Write the ratio 36 : 45 in its simplest form. (a) 5 : 6 (b) 36 : 45 (c) 5 : 4 (d) 4 : 5
38. 38.Are 48, 54, 40 and 45 in proportion? (a) No (b) Yes
39. 39.₹450 is shared between Zoya and Lakshmi in the ratio 1 : 4. How many rupees does Zoya get?
40. 40.A class has 36 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 36 : 27 (c) 3 : 4 (d) 4 : 3

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