Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 157 · 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.₹1560 is shared between Gurpreet and Kavya in the ratio 6 : 7. How many rupees does Kavya get?
2. 2.If 4 notebooks cost ₹180, how many rupees do 5 notebooks cost?
3. 3.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
4. 4.Are 6, 24, 2 and 8 in proportion? (a) No (b) Yes
5. 5.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
6. 6.Write the ratio 36 : 4 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 36 : 4
7. 7.5 : 8 = ? : 72
8. 8.Are 2, 6, 4 and 14 in proportion? (a) No (b) Yes
9. 9.6 : 7 = 54 : ?
10. 10.3 : 4 = ? : 28
11. 11.Are 25, 40, 15 and 24 in proportion? (a) Yes (b) No
12. 12.Write the ratio 27 : 21 in its simplest form. (a) 7 : 9 (b) 10 : 8 (c) 9 : 7 (d) 27 : 21
13. 13.If 2 notebooks cost ₹94, how many rupees do 5 notebooks cost?
14. 14.1 : 8 = 4 : ?
15. 15.Write the ratio 9 : 24 in its simplest form. (a) 8 : 3 (b) 9 : 24 (c) 3 : 8 (d) 4 : 9
16. 16.Write the ratio 36 : 8 in its simplest form. (a) 36 : 8 (b) 2 : 9 (c) 9 : 2 (d) 10 : 3
17. 17.₹640 is shared between Sneha and Joseph in the ratio 1 : 3. How many rupees does Sneha get?
18. 18.A basket has 10 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 45 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
19. 19.If 3 ice creams cost ₹54, how many rupees do 12 ice creams cost?
20. 20.₹3400 is shared between Gurpreet and Lakshmi in the ratio 8 : 9. How many rupees does Gurpreet get?
21. 21.If 5 mangoes cost ₹180, how many rupees do 4 mangoes cost?
22. 22.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 3 hours?
23. 23.Are 6, 12, 7 and 15 in proportion? (a) Yes (b) No
24. 24.Write the ratio 3 : 9 in its simplest form. (a) 3 : 1 (b) 3 : 9 (c) 1 : 3 (d) 2 : 4
25. 25.A class has 10 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 5 (b) 6 : 9 (c) 5 : 8 (d) 10 : 16
26. 26.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 7 hours?
27. 27.₹1760 is shared between Isha and Vivaan in the ratio 2 : 9. How many rupees does Vivaan get?
28. 28.A library shelf has 16 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 16 : 18 (b) 9 : 8 (c) 8 : 9 (d) 9 : 10
29. 29.4 : 7 = 40 : ?
30. 30.If 6 mangoes cost ₹258, how many rupees do 3 mangoes cost?
31. 31.Are 10, 15, 16 and 27 in proportion? (a) No (b) Yes
32. 32.If 6 mangoes cost ₹222, how many rupees do 2 mangoes cost?
33. 33.Are 4, 6, 8 and 12 in proportion? (a) No (b) Yes
34. 34.3 : 8 = 21 : ?
35. 35.A library shelf has 18 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 18 : 4
36. 36.If 9 pens cost ₹441, how many rupees do 5 pens cost?
37. 37.Are 10, 45, 12 and 54 in proportion? (a) No (b) Yes
38. 38.₹630 is shared between Arjun and Rohan in the ratio 4 : 5. How many rupees does Arjun get?
39. 39.Write the ratio 56 : 32 in its simplest form. (a) 8 : 5 (b) 56 : 32 (c) 4 : 7 (d) 7 : 4
40. 40.A class has 2 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 1 (b) 2 : 12 (c) 2 : 7 (d) 1 : 6

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