Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 288 · 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. 1.1 : 9 = ? : 18
2. 2.If 2 notebooks cost ₹8, how many rupees do 12 notebooks cost?
3. 3.Are 4, 36, 7 and 66 in proportion? (a) Yes (b) No
4. 4.₹280 is shared between Farhan and Nisha in the ratio 1 : 3. How many rupees does Nisha get?
5. 5.Write the ratio 56 : 64 in its simplest form. (a) 8 : 9 (b) 8 : 7 (c) 56 : 64 (d) 7 : 8
6. 6.Write the ratio 30 : 48 in its simplest form. (a) 30 : 48 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
7. 7.4 : 5 = 32 : ?
8. 8.Write the ratio 63 : 45 in its simplest form. (a) 63 : 45 (b) 8 : 6 (c) 5 : 7 (d) 7 : 5
9. 9.A basket has 8 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 6 (b) 5 : 1 (c) 1 : 5 (d) 8 : 40
10. 10.₹500 is shared between Zoya and Aarav in the ratio 1 : 9. How many rupees does Aarav get?
11. 11.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 6 hours?
12. 12.Write the ratio 81 : 63 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 81 : 63 (d) 10 : 8
13. 13.Are 8, 12, 10 and 17 in proportion? (a) Yes (b) No
14. 14.A library shelf has 14 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 14 : 18 (b) 9 : 7 (c) 8 : 10 (d) 7 : 9
15. 15.Write the ratio 42 : 54 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 42 : 54
16. 16.A garden has 12 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 5 : 6 (d) 12 : 15
17. 17.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
18. 18.If 3 pens cost ₹180, how many rupees do 5 pens cost?
19. 19.1 : 9 = 6 : ?
20. 20.Are 2, 16, 6 and 48 in proportion? (a) Yes (b) No
21. 21.Write the ratio 14 : 63 in its simplest form. (a) 14 : 63 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
22. 22.Are 20, 32, 30 and 48 in proportion? (a) No (b) Yes
23. 23.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
24. 24.Write the ratio 45 : 81 in its simplest form. (a) 9 : 5 (b) 45 : 81 (c) 6 : 10 (d) 5 : 9
25. 25.If 8 pens cost ₹288, how many rupees do 11 pens cost?
26. 26.If 5 mangoes cost ₹55, how many rupees do 3 mangoes cost?
27. 27.2 : 7 = ? : 28
28. 28.₹90 is shared between Sneha and Kavya in the ratio 1 : 2. How many rupees does Sneha get?
29. 29.₹720 is shared between Kabir and Sneha in the ratio 1 : 5. How many rupees does Kabir get?
30. 30.If 3 ice creams cost ₹102, how many rupees do 2 ice creams cost?
31. 31.If 2 pens cost ₹62, how many rupees do 12 pens cost?
32. 32.Write the ratio 2 : 4 in its simplest form. (a) 2 : 1 (b) 2 : 4 (c) 2 : 3 (d) 1 : 2
33. 33.If 4 chocolates cost ₹84, how many rupees do 9 chocolates cost?
34. 34.Write the ratio 63 : 36 in its simplest form. (a) 4 : 7 (b) 63 : 36 (c) 7 : 4 (d) 8 : 5
35. 35.1 : 8 = 3 : ?
36. 36.₹270 is shared between Nisha and Sneha in the ratio 2 : 7. How many rupees does Sneha get?
37. 37.₹650 is shared between Manav and Isha in the ratio 2 : 3. How many rupees does Isha get?
38. 38.₹800 is shared between Ananya and Aditya in the ratio 3 : 5. How many rupees does Aditya get?
39. 39.Write the ratio 36 : 6 in its simplest form. (a) 6 : 1 (b) 7 : 2 (c) 1 : 6 (d) 36 : 6
40. 40.Write the ratio 72 : 8 in its simplest form. (a) 9 : 1 (b) 10 : 2 (c) 72 : 8 (d) 1 : 9

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