Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 264 · 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. 1.1 : 7 = ? : 14
2. 2.A box has 48 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 48 : 54 (b) 9 : 8 (c) 9 : 10 (d) 8 : 9
3. 3.₹1100 is shared between Gurpreet and Pooja in the ratio 3 : 7. How many rupees does Pooja get?
4. 4.₹2400 is shared between Rohan and Dev in the ratio 7 : 8. How many rupees does Dev get?
5. 5.₹390 is shared between Rahul and Sneha in the ratio 4 : 9. How many rupees does Rahul get?
6. 6.Write the ratio 2 : 6 in its simplest form. (a) 2 : 6 (b) 2 : 4 (c) 1 : 3 (d) 3 : 1
7. 7.Are 25, 40, 35 and 56 in proportion? (a) No (b) Yes
8. 8.If 4 bus tickets cost ₹204, how many rupees do 3 bus tickets cost?
9. 9.1 : 4 = ? : 8
10. 10.Are 9, 12, 15 and 21 in proportion? (a) No (b) Yes
11. 11.₹880 is shared between Lakshmi and Saanvi in the ratio 3 : 8. How many rupees does Lakshmi get?
12. 12.Are 8, 18, 24 and 55 in proportion? (a) No (b) Yes
13. 13.Write the ratio 27 : 12 in its simplest form. (a) 27 : 12 (b) 9 : 4 (c) 10 : 5 (d) 4 : 9
14. 14.Are 6, 21, 8 and 30 in proportion? (a) Yes (b) No
15. 15.₹250 is shared between Arjun and Manav in the ratio 1 : 4. How many rupees does Arjun get?
16. 16.Write the ratio 30 : 25 in its simplest form. (a) 6 : 5 (b) 5 : 6 (c) 7 : 6 (d) 30 : 25
17. 17.₹840 is shared between Tara and Lakshmi in the ratio 5 : 7. How many rupees does Tara get?
18. 18.A garden has 9 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 9 : 12
19. 19.Are 6, 8, 27 and 39 in proportion? (a) Yes (b) No
20. 20.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
21. 21.1 : 6 = ? : 18
22. 22.A library shelf has 18 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 6 (b) 6 : 7 (c) 18 : 21 (d) 7 : 8
23. 23.Are 21, 24, 14 and 17 in proportion? (a) No (b) Yes
24. 24.1 : 2 = 4 : ?
25. 25.If 3 ice creams cost ₹33, how many rupees do 4 ice creams cost?
26. 26.Write the ratio 45 : 63 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 5 : 7 (d) 45 : 63
27. 27.₹650 is shared between Manav and Tara in the ratio 6 : 7. How many rupees does Manav get?
28. 28.5 : 8 = ? : 24
29. 29.If 4 ice creams cost ₹72, how many rupees do 3 ice creams cost?
30. 30.If 7 chocolates cost ₹140, how many rupees do 3 chocolates cost?
31. 31.If 3 ice creams cost ₹177, how many rupees do 5 ice creams cost?
32. 32.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 6 hours?
33. 33.If 7 pens cost ₹98, how many rupees do 2 pens cost?
34. 34.8 : 9 = 32 : ?
35. 35.1 : 7 = 9 : ?
36. 36.Write the ratio 25 : 40 in its simplest form. (a) 25 : 40 (b) 6 : 9 (c) 8 : 5 (d) 5 : 8
37. 37.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
38. 38.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
39. 39.A library shelf has 63 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 7 (b) 63 : 36 (c) 7 : 4 (d) 8 : 5
40. 40.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?

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