Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 104 · 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 library shelf has 8 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 40 (b) 5 : 1 (c) 1 : 5 (d) 2 : 6
2. 2.Are 5, 15, 2 and 9 in proportion? (a) Yes (b) No
3. 3.Write the ratio 15 : 35 in its simplest form. (a) 15 : 35 (b) 4 : 8 (c) 3 : 7 (d) 7 : 3
4. 4.Write the ratio 21 : 28 in its simplest form. (a) 3 : 4 (b) 4 : 3 (c) 4 : 5 (d) 21 : 28
5. 5.If 8 ice creams cost ₹320, how many rupees do 2 ice creams cost?
6. 6.A scooter goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Are 30, 48, 15 and 24 in proportion? (a) Yes (b) No
8. 8.If 6 pens cost ₹318, how many rupees do 7 pens cost?
9. 9.2 : 5 = 14 : ?
10. 10.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
11. 11.Write the ratio 4 : 12 in its simplest form. (a) 4 : 12 (b) 1 : 3 (c) 2 : 4 (d) 3 : 1
12. 12.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
13. 13.If 5 bus tickets cost ₹210, how many rupees do 8 bus tickets cost?
14. 14.Are 12, 16, 21 and 28 in proportion? (a) Yes (b) No
15. 15.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
16. 16.1 : 6 = ? : 12
17. 17.₹910 is shared between Arjun and Joseph in the ratio 2 : 5. How many rupees does Joseph get?
18. 18.₹1330 is shared between Diya and Karan in the ratio 3 : 4. How many rupees does Diya get?
19. 19.Are 8, 10, 12 and 18 in proportion? (a) Yes (b) No
20. 20.Are 15, 40, 9 and 27 in proportion? (a) Yes (b) No
21. 21.A box has 6 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 10 (b) 3 : 5 (c) 4 : 6 (d) 5 : 3
22. 22.₹490 is shared between Arjun and Vivaan in the ratio 2 : 5. How many rupees does Vivaan get?
23. 23.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 6 hours?
24. 24.If 3 notebooks cost ₹162, how many rupees do 4 notebooks cost?
25. 25.If 4 notebooks cost ₹132, how many rupees do 3 notebooks cost?
26. 26.Are 18, 24, 21 and 28 in proportion? (a) Yes (b) No
27. 27.₹2000 is shared between Kabir and Isha in the ratio 3 : 7. How many rupees does Isha get?
28. 28.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
29. 29.Are 24, 54, 20 and 45 in proportion? (a) No (b) Yes
30. 30.₹450 is shared between Ananya and Ishaan in the ratio 2 : 3. How many rupees does Ishaan get?
31. 31.₹280 is shared between Priya and Zoya in the ratio 5 : 9. How many rupees does Priya get?
32. 32.If 5 bus tickets cost ₹250, how many rupees do 12 bus tickets cost?
33. 33.2 : 7 = ? : 63
34. 34.A garden has 16 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 16 : 10 (b) 5 : 8 (c) 9 : 6 (d) 8 : 5
35. 35.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
36. 36.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 1 hour?
37. 37.1 : 9 = 7 : ?
38. 38.₹680 is shared between Nisha and Vivaan in the ratio 1 : 3. How many rupees does Vivaan get?
39. 39.If 6 mangoes cost ₹132, how many rupees do 11 mangoes cost?
40. 40.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?

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