Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 229 · 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. 1.3 : 4 = 24 : ?
2. 2.1 : 7 = ? : 49
3. 3.If 4 notebooks cost ₹228, how many rupees do 8 notebooks cost?
4. 4.Are 4, 36, 9 and 82 in proportion? (a) Yes (b) No
5. 5.Write the ratio 56 : 48 in its simplest form. (a) 56 : 48 (b) 8 : 7 (c) 7 : 6 (d) 6 : 7
6. 6.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
7. 7.If 3 ice creams cost ₹177, how many rupees do 5 ice creams cost?
8. 8.If 8 pens cost ₹128, how many rupees do 10 pens cost?
9. 9.₹360 is shared between Dev and Aarav in the ratio 1 : 3. How many rupees does Dev get?
10. 10.Write the ratio 63 : 54 in its simplest form. (a) 6 : 7 (b) 63 : 54 (c) 7 : 6 (d) 8 : 7
11. 11.A garden has 49 rose plants and 63 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 9 (b) 8 : 10 (c) 9 : 7 (d) 49 : 63
12. 12.Write the ratio 12 : 21 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 4 : 7 (d) 12 : 21
13. 13.If 5 pens cost ₹235, how many rupees do 10 pens cost?
14. 14.₹800 is shared between Isha and Rahul in the ratio 1 : 4. How many rupees does Rahul get?
15. 15.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
16. 16.3 : 8 = ? : 16
17. 17.Write the ratio 7 : 35 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 5 : 1 (d) 7 : 35
18. 18.Write the ratio 27 : 15 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 9 : 5 (d) 27 : 15
19. 19.If 8 bus tickets cost ₹272, how many rupees do 12 bus tickets cost?
20. 20.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 4 hours?
21. 21.₹880 is shared between Kavya and Rohan in the ratio 3 : 5. How many rupees does Kavya get?
22. 22.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 6 hours?
23. 23.₹720 is shared between Rahul and Kabir in the ratio 1 : 7. How many rupees does Rahul get?
24. 24.A garden has 6 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 6 : 12 (c) 2 : 1 (d) 1 : 2
25. 25.Write the ratio 8 : 28 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 2 : 7 (d) 8 : 28
26. 26.Are 12, 20, 21 and 37 in proportion? (a) Yes (b) No
27. 27.Write the ratio 72 : 27 in its simplest form. (a) 3 : 8 (b) 8 : 3 (c) 72 : 27 (d) 9 : 4
28. 28.Write the ratio 48 : 54 in its simplest form. (a) 48 : 54 (b) 8 : 9 (c) 9 : 10 (d) 9 : 8
29. 29.1 : 8 = ? : 72
30. 30.A basket has 42 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 7 : 6 (c) 42 : 36 (d) 8 : 7
31. 31.Write the ratio 2 : 12 in its simplest form. (a) 2 : 12 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
32. 32.A class has 9 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 9 : 27 (c) 1 : 3 (d) 2 : 4
33. 33.8 : 9 = ? : 18
34. 34.7 : 9 = ? : 27
35. 35.A library shelf has 27 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 6 (b) 5 : 3 (c) 3 : 5 (d) 27 : 45
36. 36.If 7 chocolates cost ₹98, how many rupees do 11 chocolates cost?
37. 37.Write the ratio 14 : 12 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 6 : 7 (d) 14 : 12
38. 38.1 : 2 = 10 : ?
39. 39.₹1050 is shared between Zoya and Lakshmi in the ratio 3 : 4. How many rupees does Lakshmi get?
40. 40.A scooter goes 210 km in 6 hours. At the same speed, how many km does it go in 7 hours?

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