Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 205 · 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.Write the ratio 36 : 6 in its simplest form. (a) 7 : 2 (b) 36 : 6 (c) 6 : 1 (d) 1 : 6
2. 2.If 5 bus tickets cost ₹150, how many rupees do 3 bus tickets cost?
3. 3.Are 4, 14, 6 and 22 in proportion? (a) Yes (b) No
4. 4.If 6 chocolates cost ₹126, how many rupees do 10 chocolates cost?
5. 5.If 6 notebooks cost ₹42, how many rupees do 11 notebooks cost?
6. 6.Are 12, 16, 15 and 22 in proportion? (a) No (b) Yes
7. 7.5 : 7 = ? : 42
8. 8.Write the ratio 56 : 63 in its simplest form. (a) 9 : 8 (b) 56 : 63 (c) 8 : 9 (d) 9 : 10
9. 9.₹2240 is shared between Isha and Pooja in the ratio 5 : 9. How many rupees does Isha get?
10. 10.Are 12, 14, 42 and 50 in proportion? (a) Yes (b) No
11. 11.A box has 16 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 16 : 24 (d) 3 : 4
12. 12.If 3 ice creams cost ₹69, how many rupees do 6 ice creams cost?
13. 13.Are 6, 21, 16 and 57 in proportion? (a) Yes (b) No
14. 14.2 : 9 = ? : 36
15. 15.Are 4, 32, 7 and 56 in proportion? (a) Yes (b) No
16. 16.Write the ratio 35 : 28 in its simplest form. (a) 35 : 28 (b) 4 : 5 (c) 6 : 5 (d) 5 : 4
17. 17.If 8 bus tickets cost ₹128, how many rupees do 3 bus tickets cost?
18. 18.Write the ratio 24 : 4 in its simplest form. (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 24 : 4
19. 19.5 : 8 = 50 : ?
20. 20.Write the ratio 36 : 20 in its simplest form. (a) 10 : 6 (b) 5 : 9 (c) 36 : 20 (d) 9 : 5
21. 21.Are 12, 30, 8 and 23 in proportion? (a) No (b) Yes
22. 22.Write the ratio 24 : 20 in its simplest form. (a) 5 : 6 (b) 6 : 5 (c) 24 : 20 (d) 7 : 6
23. 23.If 8 notebooks cost ₹128, how many rupees do 10 notebooks cost?
24. 24.Write the ratio 3 : 15 in its simplest form. (a) 2 : 6 (b) 3 : 15 (c) 1 : 5 (d) 5 : 1
25. 25.₹1300 is shared between Nisha and Rohan in the ratio 6 : 7. How many rupees does Rohan get?
26. 26.1 : 4 = ? : 36
27. 27.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
28. 28.Are 6, 21, 16 and 56 in proportion? (a) No (b) Yes
29. 29.7 : 8 = 21 : ?
30. 30.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
31. 31.₹1280 is shared between Meera and Farhan in the ratio 7 : 9. How many rupees does Farhan get?
32. 32.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
33. 33.1 : 4 = 10 : ?
34. 34.A library shelf has 15 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 15 : 5 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2
35. 35.A basket has 20 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 3 (b) 20 : 12 (c) 3 : 5 (d) 6 : 4
36. 36.₹1320 is shared between Manav and Nisha in the ratio 5 : 6. How many rupees does Manav get?
37. 37.A basket has 18 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 3 (b) 3 : 2 (c) 2 : 3 (d) 18 : 12
38. 38.4 : 5 = ? : 35
39. 39.₹200 is shared between Nisha and Zoya in the ratio 1 : 3. How many rupees does Nisha get?
40. 40.₹990 is shared between Karan and Kavya in the ratio 3 : 8. How many rupees does Karan get?

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