Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 390 · 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.Are 35, 45, 14 and 18 in proportion? (a) No (b) Yes
2. 2.Write the ratio 15 : 12 in its simplest form. (a) 15 : 12 (b) 6 : 5 (c) 5 : 4 (d) 4 : 5
3. 3.If 9 bus tickets cost ₹252, how many rupees do 2 bus tickets cost?
4. 4.Write the ratio 54 : 42 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 10 : 8 (d) 54 : 42
5. 5.A class has 64 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 8 (b) 64 : 72 (c) 8 : 9 (d) 9 : 10
6. 6.If 4 mangoes cost ₹72, how many rupees do 7 mangoes cost?
7. 7.If 7 bus tickets cost ₹105, how many rupees do 11 bus tickets cost?
8. 8.A library shelf has 9 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 3 (b) 9 : 15 (c) 4 : 6 (d) 3 : 5
9. 9.Write the ratio 18 : 9 in its simplest form. (a) 2 : 1 (b) 3 : 2 (c) 18 : 9 (d) 1 : 2
10. 10.Are 9, 12, 21 and 31 in proportion? (a) No (b) Yes
11. 11.7 : 9 = ? : 36
12. 12.₹950 is shared between Vivaan and Riya in the ratio 1 : 4. How many rupees does Riya get?
13. 13.Are 2, 4, 3 and 6 in proportion? (a) No (b) Yes
14. 14.1 : 9 = 6 : ?
15. 15.Write the ratio 18 : 45 in its simplest form. (a) 5 : 2 (b) 2 : 5 (c) 3 : 6 (d) 18 : 45
16. 16.A garden has 4 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 1 (b) 1 : 7 (c) 2 : 8 (d) 4 : 28
17. 17.Are 10, 35, 16 and 56 in proportion? (a) No (b) Yes
18. 18.Write the ratio 4 : 20 in its simplest form. (a) 2 : 6 (b) 4 : 20 (c) 1 : 5 (d) 5 : 1
19. 19.Write the ratio 56 : 21 in its simplest form. (a) 56 : 21 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3
20. 20.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
21. 21.1 : 9 = 10 : ?
22. 22.If 9 notebooks cost ₹189, how many rupees do 2 notebooks cost?
23. 23.₹1430 is shared between Joseph and Priya in the ratio 4 : 7. How many rupees does Priya get?
24. 24.3 : 5 = 21 : ?
25. 25.A basket has 35 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 35 : 56 (b) 6 : 9 (c) 8 : 5 (d) 5 : 8
26. 26.Write the ratio 4 : 32 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 4 : 32
27. 27.Write the ratio 25 : 5 in its simplest form. (a) 6 : 2 (b) 25 : 5 (c) 5 : 1 (d) 1 : 5
28. 28.3 : 5 = ? : 25
29. 29.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
30. 30.If 8 mangoes cost ₹200, how many rupees do 3 mangoes cost?
31. 31.A train goes 390 km in 6 hours. At the same speed, how many km does it go in 7 hours?
32. 32.1 : 8 = 9 : ?
33. 33.Write the ratio 48 : 40 in its simplest form. (a) 5 : 6 (b) 7 : 6 (c) 6 : 5 (d) 48 : 40
34. 34.₹1980 is shared between Lakshmi and Zoya in the ratio 5 : 6. How many rupees does Zoya get?
35. 35.₹70 is shared between Farhan and Lakshmi in the ratio 1 : 6. How many rupees does Lakshmi get?
36. 36.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
37. 37.6 : 7 = 24 : ?
38. 38.If 3 notebooks cost ₹171, how many rupees do 8 notebooks cost?
39. 39.Write the ratio 12 : 42 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 12 : 42 (d) 2 : 7
40. 40.₹840 is shared between Farhan and Saanvi in the ratio 3 : 4. How many rupees does Saanvi get?

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