Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 206 · 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.₹1440 is shared between Gurpreet and Ananya in the ratio 3 : 5. How many rupees does Ananya get?
2. 2.1 : 5 = 8 : ?
3. 3.A class has 4 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 2 : 9 (c) 3 : 10 (d) 4 : 18
4. 4.4 : 9 = ? : 45
5. 5.Are 6, 21, 18 and 66 in proportion? (a) No (b) Yes
6. 6.A garden has 7 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 3 (b) 2 : 4 (c) 3 : 1 (d) 7 : 21
7. 7.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
8. 8.Are 48, 54, 32 and 36 in proportion? (a) Yes (b) No
9. 9.If 9 notebooks cost ₹63, how many rupees do 3 notebooks cost?
10. 10.Write the ratio 56 : 7 in its simplest form. (a) 9 : 2 (b) 56 : 7 (c) 8 : 1 (d) 1 : 8
11. 11.Are 12, 54, 8 and 36 in proportion? (a) No (b) Yes
12. 12.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 5 hours?
13. 13.A box has 63 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 63 : 56 (b) 8 : 9 (c) 9 : 8 (d) 10 : 9
14. 14.A box has 9 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 24 (b) 4 : 9 (c) 8 : 3 (d) 3 : 8
15. 15.3 : 5 = ? : 40
16. 16.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 4 hours?
17. 17.If 8 pens cost ₹104, how many rupees do 10 pens cost?
18. 18.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
19. 19.Are 9, 15, 24 and 42 in proportion? (a) Yes (b) No
20. 20.Write the ratio 9 : 24 in its simplest form. (a) 3 : 8 (b) 4 : 9 (c) 8 : 3 (d) 9 : 24
21. 21.A box has 8 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 8 : 28 (c) 7 : 2 (d) 3 : 8
22. 22.1 : 3 = ? : 30
23. 23.Write the ratio 9 : 36 in its simplest form. (a) 2 : 5 (b) 1 : 4 (c) 9 : 36 (d) 4 : 1
24. 24.Write the ratio 21 : 28 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 21 : 28 (d) 4 : 3
25. 25.Are 4, 24, 2 and 15 in proportion? (a) Yes (b) No
26. 26.Are 4, 16, 8 and 32 in proportion? (a) Yes (b) No
27. 27.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
28. 28.₹2720 is shared between Lakshmi and Ananya in the ratio 8 : 9. How many rupees does Ananya get?
29. 29.₹1800 is shared between Dev and Kabir in the ratio 7 : 8. How many rupees does Kabir get?
30. 30.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
31. 31.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
32. 32.3 : 4 = 12 : ?
33. 33.1 : 6 = ? : 42
34. 34.5 : 6 = ? : 18
35. 35.Write the ratio 10 : 35 in its simplest form. (a) 10 : 35 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
36. 36.5 : 7 = 40 : ?
37. 37.A class has 24 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 4 : 5 (c) 4 : 3 (d) 24 : 32
38. 38.If 8 mangoes cost ₹128, how many rupees do 9 mangoes cost?
39. 39.If 4 chocolates cost ₹160, how many rupees do 9 chocolates cost?
40. 40.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?

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