Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 186 · 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 : 2 = ? : 12
2. 2.₹2080 is shared between Meera and Kabir in the ratio 7 : 9. How many rupees does Meera get?
3. 3.If 7 ice creams cost ₹182, how many rupees do 8 ice creams cost?
4. 4.Write the ratio 21 : 24 in its simplest form. (a) 8 : 9 (b) 21 : 24 (c) 7 : 8 (d) 8 : 7
5. 5.Write the ratio 24 : 64 in its simplest form. (a) 3 : 8 (b) 24 : 64 (c) 4 : 9 (d) 8 : 3
6. 6.₹1540 is shared between Diya and Aditya in the ratio 5 : 9. How many rupees does Diya get?
7. 7.If 7 ice creams cost ₹63, how many rupees do 9 ice creams cost?
8. 8.A garden has 6 rose plants and 9 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 9 (b) 3 : 4 (c) 3 : 2 (d) 2 : 3
9. 9.₹770 is shared between Joseph and Rohan in the ratio 5 : 6. How many rupees does Rohan get?
10. 10.A basket has 36 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 3 (b) 36 : 27 (c) 3 : 4 (d) 5 : 4
11. 11.Are 15, 21, 10 and 14 in proportion? (a) No (b) Yes
12. 12.Are 20, 36, 25 and 47 in proportion? (a) No (b) Yes
13. 13.Are 2, 14, 4 and 29 in proportion? (a) No (b) Yes
14. 14.3 : 4 = ? : 20
15. 15.A class has 30 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 30 : 12 (b) 5 : 2 (c) 6 : 3 (d) 2 : 5
16. 16.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
17. 17.A box has 15 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 3 (b) 15 : 20 (c) 4 : 5 (d) 3 : 4
18. 18.₹990 is shared between Diya and Kavya in the ratio 5 : 6. How many rupees does Kavya get?
19. 19.₹650 is shared between Nisha and Rahul in the ratio 5 : 8. How many rupees does Rahul get?
20. 20.Write the ratio 12 : 21 in its simplest form. (a) 12 : 21 (b) 7 : 4 (c) 5 : 8 (d) 4 : 7
21. 21.₹1260 is shared between Saanvi and Riya in the ratio 5 : 9. How many rupees does Riya get?
22. 22.1 : 9 = 7 : ?
23. 23.Write the ratio 9 : 45 in its simplest form. (a) 2 : 6 (b) 5 : 1 (c) 9 : 45 (d) 1 : 5
24. 24.If 4 pens cost ₹208, how many rupees do 2 pens cost?
25. 25.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 16 : 4 (d) 5 : 2
26. 26.8 : 9 = ? : 63
27. 27.Are 5, 20, 8 and 33 in proportion? (a) No (b) Yes
28. 28.Write the ratio 36 : 9 in its simplest form. (a) 5 : 2 (b) 4 : 1 (c) 1 : 4 (d) 36 : 9
29. 29.Write the ratio 21 : 15 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 21 : 15 (d) 5 : 7
30. 30.2 : 3 = ? : 15
31. 31.Are 2, 8, 8 and 32 in proportion? (a) Yes (b) No
32. 32.A class has 28 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 28 : 35 (d) 5 : 6
33. 33.8 : 9 = 16 : ?
34. 34.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 4 hours?
35. 35.If 3 chocolates cost ₹78, how many rupees do 2 chocolates cost?
36. 36.If 5 bus tickets cost ₹75, how many rupees do 11 bus tickets cost?
37. 37.If 6 bus tickets cost ₹162, how many rupees do 12 bus tickets cost?
38. 38.If 8 mangoes cost ₹208, how many rupees do 2 mangoes cost?
39. 39.Are 6, 10, 18 and 30 in proportion? (a) No (b) Yes
40. 40.3 : 5 = ? : 15

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