Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 341 · 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.₹2160 is shared between Vivaan and Rohan in the ratio 5 : 7. How many rupees does Rohan get?
2. 2.A garden has 18 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 18 : 4 (b) 10 : 3 (c) 2 : 9 (d) 9 : 2
3. 3.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 1 hour?
4. 4.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 8 hours?
5. 5.A train goes 330 km in 6 hours. At the same speed, how many km does it go in 5 hours?
6. 6.If 2 notebooks cost ₹40, how many rupees do 4 notebooks cost?
7. 7.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
8. 8.Are 9, 15, 12 and 20 in proportion? (a) Yes (b) No
9. 9.A class has 48 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 48 : 18 (c) 9 : 4 (d) 3 : 8
10. 10.Write the ratio 56 : 16 in its simplest form. (a) 7 : 2 (b) 8 : 3 (c) 2 : 7 (d) 56 : 16
11. 11.If 3 mangoes cost ₹45, how many rupees do 9 mangoes cost?
12. 12.If 8 notebooks cost ₹440, how many rupees do 6 notebooks cost?
13. 13.Write the ratio 42 : 24 in its simplest form. (a) 42 : 24 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
14. 14.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
15. 15.Are 3, 27, 9 and 84 in proportion? (a) Yes (b) No
16. 16.Are 4, 18, 6 and 29 in proportion? (a) Yes (b) No
17. 17.Write the ratio 32 : 12 in its simplest form. (a) 32 : 12 (b) 8 : 3 (c) 3 : 8 (d) 9 : 4
18. 18.Write the ratio 10 : 14 in its simplest form. (a) 5 : 7 (b) 10 : 14 (c) 6 : 8 (d) 7 : 5
19. 19.A class has 42 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 5 (b) 5 : 7 (c) 42 : 30 (d) 8 : 6
20. 20.Are 14, 16, 21 and 27 in proportion? (a) No (b) Yes
21. 21.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 7 hours?
22. 22.₹1950 is shared between Kabir and Manav in the ratio 6 : 7. How many rupees does Manav get?
23. 23.Are 25, 35, 35 and 51 in proportion? (a) Yes (b) No
24. 24.1 : 4 = ? : 20
25. 25.A basket has 35 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 5 (b) 5 : 6 (c) 35 : 42 (d) 6 : 7
26. 26.₹270 is shared between Nisha and Karan in the ratio 4 : 5. How many rupees does Nisha get?
27. 27.₹240 is shared between Gurpreet and Aditya in the ratio 1 : 3. How many rupees does Aditya get?
28. 28.A class has 6 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 4 : 9 (c) 6 : 16 (d) 3 : 8
29. 29.4 : 9 = ? : 36
30. 30.₹1170 is shared between Aarav and Zoya in the ratio 5 : 8. How many rupees does Zoya get?
31. 31.Are 2, 6, 3 and 11 in proportion? (a) Yes (b) No
32. 32.A basket has 32 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 4 : 5 (c) 5 : 4 (d) 32 : 40
33. 33.Write the ratio 20 : 35 in its simplest form. (a) 20 : 35 (b) 4 : 7 (c) 7 : 4 (d) 5 : 8
34. 34.Write the ratio 9 : 6 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 3 : 2 (d) 9 : 6
35. 35.1 : 2 = 6 : ?
36. 36.1 : 5 = ? : 35
37. 37.2 : 3 = 8 : ?
38. 38.1 : 3 = ? : 15
39. 39.1 : 3 = ? : 30
40. 40.A library shelf has 18 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 27 (b) 3 : 4 (c) 3 : 2 (d) 2 : 3

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