Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 337 · 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. 1.5 : 6 = ? : 54
2. 2.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
3. 3.If 6 chocolates cost ₹318, how many rupees do 8 chocolates cost?
4. 4.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
5. 5.₹490 is shared between Ishaan and Kavya in the ratio 3 : 4. How many rupees does Kavya get?
6. 6.A basket has 42 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 4 (b) 42 : 18 (c) 7 : 3 (d) 3 : 7
7. 7.Write the ratio 45 : 10 in its simplest form. (a) 9 : 2 (b) 10 : 3 (c) 45 : 10 (d) 2 : 9
8. 8.If 3 bus tickets cost ₹69, how many rupees do 2 bus tickets cost?
9. 9.If 3 bus tickets cost ₹30, how many rupees do 5 bus tickets cost?
10. 10.Are 2, 4, 7 and 17 in proportion? (a) No (b) Yes
11. 11.Write the ratio 20 : 28 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 20 : 28 (d) 5 : 7
12. 12.1 : 2 = 3 : ?
13. 13.A garden has 14 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 14 : 21 (c) 2 : 3 (d) 3 : 4
14. 14.1 : 5 = ? : 35
15. 15.Are 12, 15, 16 and 21 in proportion? (a) No (b) Yes
16. 16.If 7 bus tickets cost ₹154, how many rupees do 12 bus tickets cost?
17. 17.₹780 is shared between Nisha and Rohan in the ratio 4 : 9. How many rupees does Rohan get?
18. 18.3 : 8 = ? : 48
19. 19.8 : 9 = ? : 36
20. 20.1 : 3 = ? : 15
21. 21.₹300 is shared between Dev and Farhan in the ratio 7 : 8. How many rupees does Farhan get?
22. 22.₹1280 is shared between Kabir and Karan in the ratio 7 : 9. How many rupees does Karan get?
23. 23.Are 6, 42, 7 and 49 in proportion? (a) No (b) Yes
24. 24.Are 16, 28, 12 and 21 in proportion? (a) No (b) Yes
25. 25.₹1140 is shared between Aarav and Diya in the ratio 1 : 5. How many rupees does Diya get?
26. 26.If 4 notebooks cost ₹228, how many rupees do 11 notebooks cost?
27. 27.1 : 9 = 7 : ?
28. 28.A bus goes 350 km in 5 hours. At the same speed, how many km does it go in 7 hours?
29. 29.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
30. 30.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 2 hours?
31. 31.If 8 ice creams cost ₹432, how many rupees do 2 ice creams cost?
32. 32.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 8 hours?
33. 33.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
34. 34.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 1 hour?
35. 35.7 : 9 = ? : 81
36. 36.₹1600 is shared between Arjun and Kabir in the ratio 3 : 7. How many rupees does Kabir get?
37. 37.Write the ratio 6 : 4 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 3 : 2 (d) 6 : 4
38. 38.Are 6, 15, 10 and 27 in proportion? (a) No (b) Yes
39. 39.₹2700 is shared between Kavya and Farhan in the ratio 7 : 8. How many rupees does Kavya get?
40. 40.₹130 is shared between Manav and Aditya in the ratio 5 : 8. How many rupees does Manav get?

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