Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 118 · 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.A scooter goes 210 km in 6 hours. At the same speed, how many km does it go in 7 hours?
2. 2.Are 15, 40, 27 and 72 in proportion? (a) Yes (b) No
3. 3.Are 3, 6, 2 and 5 in proportion? (a) No (b) Yes
4. 4.If 9 ice creams cost ₹459, how many rupees do 6 ice creams cost?
5. 5.Write the ratio 4 : 28 in its simplest form. (a) 1 : 7 (b) 2 : 8 (c) 4 : 28 (d) 7 : 1
6. 6.₹810 is shared between Farhan and Kabir in the ratio 2 : 7. How many rupees does Kabir get?
7. 7.1 : 5 = ? : 20
8. 8.₹1300 is shared between Saanvi and Ananya in the ratio 4 : 9. How many rupees does Saanvi get?
9. 9.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
10. 10.1 : 7 = 2 : ?
11. 11.If 6 pens cost ₹126, how many rupees do 10 pens cost?
12. 12.If 8 bus tickets cost ₹280, how many rupees do 9 bus tickets cost?
13. 13.₹1980 is shared between Aditya and Lakshmi in the ratio 4 : 7. How many rupees does Aditya get?
14. 14.A basket has 6 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 18 (b) 3 : 1 (c) 1 : 3 (d) 2 : 4
15. 15.A garden has 42 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 8 : 10 (d) 42 : 54
16. 16.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 6 hours?
17. 17.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
18. 18.Write the ratio 6 : 15 in its simplest form. (a) 3 : 6 (b) 2 : 5 (c) 6 : 15 (d) 5 : 2
19. 19.₹1560 is shared between Vivaan and Ananya in the ratio 5 : 7. How many rupees does Vivaan get?
20. 20.₹90 is shared between Saanvi and Karan in the ratio 2 : 7. How many rupees does Saanvi get?
21. 21.₹1100 is shared between Zoya and Priya in the ratio 3 : 7. How many rupees does Priya get?
22. 22.Write the ratio 9 : 15 in its simplest form. (a) 4 : 6 (b) 5 : 3 (c) 3 : 5 (d) 9 : 15
23. 23.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
24. 24.If 8 pens cost ₹112, how many rupees do 3 pens cost?
25. 25.Write the ratio 8 : 6 in its simplest form. (a) 4 : 3 (b) 8 : 6 (c) 3 : 4 (d) 5 : 4
26. 26.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 8 hours?
27. 27.1 : 8 = 7 : ?
28. 28.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
29. 29.A train goes 325 km in 5 hours. At the same speed, how many km does it go in 1 hour?
30. 30.₹1200 is shared between Ananya and Arjun in the ratio 1 : 7. How many rupees does Arjun get?
31. 31.₹3040 is shared between Arjun and Sneha in the ratio 7 : 9. How many rupees does Arjun get?
32. 32.Are 8, 18, 24 and 55 in proportion? (a) No (b) Yes
33. 33.₹1760 is shared between Joseph and Aarav in the ratio 3 : 8. How many rupees does Joseph get?
34. 34.A team has 10 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 18 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
35. 35.Are 4, 8, 7 and 14 in proportion? (a) Yes (b) No
36. 36.₹140 is shared between Sneha and Zoya in the ratio 5 : 9. How many rupees does Sneha get?
37. 37.If 6 ice creams cost ₹48, how many rupees do 4 ice creams cost?
38. 38.If 9 chocolates cost ₹36, how many rupees do 11 chocolates cost?
39. 39.₹300 is shared between Nisha and Isha in the ratio 1 : 4. How many rupees does Nisha get?
40. 40.Write the ratio 15 : 24 in its simplest form. (a) 15 : 24 (b) 6 : 9 (c) 5 : 8 (d) 8 : 5

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