Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 23 · 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 : 5 = 18 : ?
2. 2.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
3. 3.Are 48, 54, 16 and 21 in proportion? (a) Yes (b) No
4. 4.A garden has 36 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 9 (b) 9 : 8 (c) 10 : 9 (d) 36 : 32
5. 5.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
6. 6.Are 3, 24, 8 and 64 in proportion? (a) No (b) Yes
7. 7.A basket has 32 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 4 (b) 5 : 8 (c) 4 : 7 (d) 32 : 56
8. 8.If 7 notebooks cost ₹329, how many rupees do 3 notebooks cost?
9. 9.Are 16, 28, 36 and 64 in proportion? (a) No (b) Yes
10. 10.₹1690 is shared between Rohan and Priya in the ratio 4 : 9. How many rupees does Priya get?
11. 11.₹1560 is shared between Priya and Nisha in the ratio 4 : 9. How many rupees does Nisha get?
12. 12.₹1040 is shared between Arjun and Priya in the ratio 4 : 9. How many rupees does Priya get?
13. 13.Are 12, 18, 4 and 6 in proportion? (a) Yes (b) No
14. 14.2 : 5 = ? : 15
15. 15.A basket has 9 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 72 (b) 2 : 9 (c) 8 : 1 (d) 1 : 8
16. 16.Are 20, 24, 10 and 12 in proportion? (a) No (b) Yes
17. 17.3 : 4 = ? : 32
18. 18.Are 12, 30, 10 and 25 in proportion? (a) No (b) Yes
19. 19.4 : 7 = 36 : ?
20. 20.Are 6, 10, 27 and 45 in proportion? (a) Yes (b) No
21. 21.Write the ratio 10 : 4 in its simplest form. (a) 2 : 5 (b) 6 : 3 (c) 5 : 2 (d) 10 : 4
22. 22.Write the ratio 35 : 21 in its simplest form. (a) 35 : 21 (b) 3 : 5 (c) 5 : 3 (d) 6 : 4
23. 23.₹600 is shared between Kabir and Aarav in the ratio 2 : 3. How many rupees does Kabir get?
24. 24.If 2 chocolates cost ₹104, how many rupees do 10 chocolates cost?
25. 25.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
26. 26.If 7 pens cost ₹21, how many rupees do 11 pens cost?
27. 27.₹1120 is shared between Isha and Nisha in the ratio 1 : 6. How many rupees does Nisha get?
28. 28.Write the ratio 32 : 40 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 32 : 40
29. 29.1 : 3 = ? : 9
30. 30.If 3 bus tickets cost ₹66, how many rupees do 11 bus tickets cost?
31. 31.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
32. 32.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 1 hour?
33. 33.₹540 is shared between Lakshmi and Rahul in the ratio 1 : 2. How many rupees does Lakshmi get?
34. 34.Write the ratio 12 : 14 in its simplest form. (a) 7 : 6 (b) 12 : 14 (c) 6 : 7 (d) 7 : 8
35. 35.Are 2, 10, 6 and 32 in proportion? (a) Yes (b) No
36. 36.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 8 hours?
37. 37.1 : 5 = 8 : ?
38. 38.4 : 9 = ? : 27
39. 39.Write the ratio 35 : 56 in its simplest form. (a) 8 : 5 (b) 5 : 8 (c) 6 : 9 (d) 35 : 56
40. 40.A bus goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?

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