Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 426 · 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.Are 16, 28, 32 and 56 in proportion? (a) No (b) Yes
2. 2.₹280 is shared between Saanvi and Rahul in the ratio 1 : 3. How many rupees does Rahul get?
3. 3.1 : 5 = 2 : ?
4. 4.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 5 hours?
5. 5.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
6. 6.₹350 is shared between Arjun and Joseph in the ratio 1 : 6. How many rupees does Arjun get?
7. 7.2 : 7 = 8 : ?
8. 8.Are 2, 10, 6 and 30 in proportion? (a) No (b) Yes
9. 9.₹330 is shared between Ananya and Saanvi in the ratio 4 : 7. How many rupees does Ananya get?
10. 10.If 4 ice creams cost ₹208, how many rupees do 3 ice creams cost?
11. 11.Are 5, 10, 7 and 15 in proportion? (a) Yes (b) No
12. 12.6 : 7 = 48 : ?
13. 13.₹600 is shared between Tara and Diya in the ratio 2 : 3. How many rupees does Diya get?
14. 14.A team has 35 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 4 (b) 7 : 3 (c) 3 : 7 (d) 35 : 15
15. 15.1 : 9 = 6 : ?
16. 16.A basket has 24 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 4 : 3 (c) 24 : 16 (d) 3 : 2
17. 17.Write the ratio 63 : 45 in its simplest form. (a) 7 : 5 (b) 63 : 45 (c) 8 : 6 (d) 5 : 7
18. 18.₹600 is shared between Priya and Nisha in the ratio 1 : 5. How many rupees does Nisha get?
19. 19.5 : 8 = ? : 24
20. 20.5 : 7 = ? : 21
21. 21.A garden has 21 rose plants and 7 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 3 (b) 4 : 2 (c) 21 : 7 (d) 3 : 1
22. 22.If 6 pens cost ₹66, how many rupees do 9 pens cost?
23. 23.6 : 7 = 30 : ?
24. 24.1 : 9 = 2 : ?
25. 25.Are 42, 54, 28 and 36 in proportion? (a) No (b) Yes
26. 26.₹880 is shared between Priya and Vivaan in the ratio 1 : 7. How many rupees does Priya get?
27. 27.A basket has 27 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 21 (b) 7 : 9 (c) 10 : 8 (d) 9 : 7
28. 28.Write the ratio 18 : 81 in its simplest form. (a) 3 : 10 (b) 2 : 9 (c) 9 : 2 (d) 18 : 81
29. 29.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 6 hours?
30. 30.₹1980 is shared between Saanvi and Sneha in the ratio 3 : 8. How many rupees does Saanvi get?
31. 31.Write the ratio 81 : 36 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 81 : 36 (d) 10 : 5
32. 32.Are 21, 24, 35 and 41 in proportion? (a) Yes (b) No
33. 33.If 6 pens cost ₹282, how many rupees do 11 pens cost?
34. 34.If 7 bus tickets cost ₹42, how many rupees do 3 bus tickets cost?
35. 35.If 8 bus tickets cost ₹344, how many rupees do 11 bus tickets cost?
36. 36.Are 12, 27, 8 and 18 in proportion? (a) No (b) Yes
37. 37.If 4 bus tickets cost ₹172, how many rupees do 3 bus tickets cost?
38. 38.2 : 5 = 10 : ?
39. 39.₹2210 is shared between Gurpreet and Joseph in the ratio 6 : 7. How many rupees does Joseph get?
40. 40.5 : 8 = 30 : ?

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