Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 415 · 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. 1.5 : 8 = 45 : ?
2. 2.A basket has 6 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 4 : 2 (d) 6 : 2
3. 3.₹2240 is shared between Meera and Kavya in the ratio 5 : 9. How many rupees does Kavya get?
4. 4.₹330 is shared between Aarav and Zoya in the ratio 2 : 9. How many rupees does Aarav get?
5. 5.If 2 notebooks cost ₹26, how many rupees do 10 notebooks cost?
6. 6.3 : 4 = ? : 24
7. 7.Write the ratio 7 : 56 in its simplest form. (a) 7 : 56 (b) 8 : 1 (c) 2 : 9 (d) 1 : 8
8. 8.1 : 5 = ? : 30
9. 9.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
10. 10.Write the ratio 45 : 10 in its simplest form. (a) 9 : 2 (b) 45 : 10 (c) 10 : 3 (d) 2 : 9
11. 11.3 : 5 = 30 : ?
12. 12.₹200 is shared between Priya and Riya in the ratio 3 : 7. How many rupees does Priya get?
13. 13.If 4 notebooks cost ₹216, how many rupees do 7 notebooks cost?
14. 14.₹260 is shared between Manav and Riya in the ratio 5 : 8. How many rupees does Manav get?
15. 15.A class has 8 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 10 (b) 8 : 72 (c) 1 : 9 (d) 9 : 1
16. 16.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 4 hours?
17. 17.1 : 5 = ? : 10
18. 18.Write the ratio 63 : 72 in its simplest form. (a) 63 : 72 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
19. 19.3 : 8 = ? : 72
20. 20.₹990 is shared between Pooja and Diya in the ratio 5 : 6. How many rupees does Diya get?
21. 21.1 : 8 = ? : 64
22. 22.Are 3, 6, 6 and 15 in proportion? (a) No (b) Yes
23. 23.2 : 9 = ? : 45
24. 24.Are 6, 54, 7 and 63 in proportion? (a) Yes (b) No
25. 25.If 2 chocolates cost ₹22, how many rupees do 8 chocolates cost?
26. 26.2 : 3 = 20 : ?
27. 27.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
28. 28.A library shelf has 2 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 10 (b) 5 : 1 (c) 2 : 6 (d) 1 : 5
29. 29.Are 12, 14, 36 and 44 in proportion? (a) No (b) Yes
30. 30.₹2210 is shared between Ananya and Karan in the ratio 4 : 9. How many rupees does Ananya get?
31. 31.If 9 notebooks cost ₹117, how many rupees do 3 notebooks cost?
32. 32.A garden has 18 rose plants and 81 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 10 (b) 2 : 9 (c) 9 : 2 (d) 18 : 81
33. 33.Write the ratio 4 : 24 in its simplest form. (a) 6 : 1 (b) 4 : 24 (c) 1 : 6 (d) 2 : 7
34. 34.Write the ratio 28 : 49 in its simplest form. (a) 28 : 49 (b) 7 : 4 (c) 5 : 8 (d) 4 : 7
35. 35.A library shelf has 15 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 5 (b) 5 : 9 (c) 6 : 10 (d) 15 : 27
36. 36.5 : 9 = 15 : ?
37. 37.1 : 5 = ? : 15
38. 38.Write the ratio 12 : 18 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 12 : 18
39. 39.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 7 hours?
40. 40.₹240 is shared between Manav and Kavya in the ratio 1 : 7. How many rupees does Manav get?

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