Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 91 · 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 8, 18, 24 and 54 in proportion? (a) Yes (b) No
2. 2.₹1350 is shared between Nisha and Kavya in the ratio 2 : 7. How many rupees does Kavya get?
3. 3.₹300 is shared between Aditya and Zoya in the ratio 3 : 7. How many rupees does Zoya get?
4. 4.Are 28, 32, 63 and 73 in proportion? (a) Yes (b) No
5. 5.Write the ratio 42 : 6 in its simplest form. (a) 42 : 6 (b) 8 : 2 (c) 1 : 7 (d) 7 : 1
6. 6.Are 2, 8, 4 and 16 in proportion? (a) No (b) Yes
7. 7.Are 6, 18, 7 and 21 in proportion? (a) No (b) Yes
8. 8.Write the ratio 4 : 16 in its simplest form. (a) 2 : 5 (b) 1 : 4 (c) 4 : 1 (d) 4 : 16
9. 9.1 : 7 = 4 : ?
10. 10.A garden has 9 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 3 (b) 3 : 8 (c) 9 : 24 (d) 4 : 9
11. 11.If 8 notebooks cost ₹240, how many rupees do 2 notebooks cost?
12. 12.A garden has 28 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 28 : 35 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
13. 13.Write the ratio 30 : 54 in its simplest form. (a) 6 : 10 (b) 5 : 9 (c) 9 : 5 (d) 30 : 54
14. 14.Write the ratio 49 : 21 in its simplest form. (a) 8 : 4 (b) 3 : 7 (c) 49 : 21 (d) 7 : 3
15. 15.Are 10, 14, 35 and 50 in proportion? (a) Yes (b) No
16. 16.If 7 mangoes cost ₹140, how many rupees do 11 mangoes cost?
17. 17.If 2 notebooks cost ₹96, how many rupees do 9 notebooks cost?
18. 18.Write the ratio 63 : 7 in its simplest form. (a) 9 : 1 (b) 1 : 9 (c) 63 : 7 (d) 10 : 2
19. 19.Write the ratio 21 : 6 in its simplest form. (a) 21 : 6 (b) 7 : 2 (c) 8 : 3 (d) 2 : 7
20. 20.₹80 is shared between Tara and Lakshmi in the ratio 1 : 7. How many rupees does Tara get?
21. 21.₹800 is shared between Zoya and Tara in the ratio 1 : 9. How many rupees does Tara get?
22. 22.A library shelf has 27 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 27 : 18
23. 23.If 7 pens cost ₹322, how many rupees do 6 pens cost?
24. 24.1 : 6 = 2 : ?
25. 25.A library shelf has 32 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 32 : 8 (b) 1 : 4 (c) 5 : 2 (d) 4 : 1
26. 26.5 : 7 = ? : 35
27. 27.A library shelf has 56 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 56 : 35 (b) 5 : 8 (c) 9 : 6 (d) 8 : 5
28. 28.1 : 6 = 3 : ?
29. 29.Write the ratio 8 : 18 in its simplest form. (a) 9 : 4 (b) 5 : 10 (c) 8 : 18 (d) 4 : 9
30. 30.3 : 5 = ? : 10
31. 31.₹1600 is shared between Priya and Zoya in the ratio 7 : 9. How many rupees does Priya get?
32. 32.Write the ratio 30 : 36 in its simplest form. (a) 6 : 7 (b) 30 : 36 (c) 5 : 6 (d) 6 : 5
33. 33.Write the ratio 16 : 6 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 16 : 6 (d) 8 : 3
34. 34.Write the ratio 21 : 12 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 21 : 12 (d) 8 : 5
35. 35.A basket has 18 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 2 (b) 18 : 6 (c) 3 : 1 (d) 1 : 3
36. 36.If 2 pens cost ₹82, how many rupees do 5 pens cost?
37. 37.Are 16, 36, 32 and 72 in proportion? (a) Yes (b) No
38. 38.Write the ratio 8 : 72 in its simplest form. (a) 2 : 10 (b) 9 : 1 (c) 1 : 9 (d) 8 : 72
39. 39.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 5 hours?
40. 40.₹140 is shared between Rahul and Nisha in the ratio 2 : 5. How many rupees does Rahul get?

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