Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 194 · 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 40 : 16 in its simplest form. (a) 5 : 2 (b) 2 : 5 (c) 6 : 3 (d) 40 : 16
2. 2.₹630 is shared between Diya and Pooja in the ratio 2 : 5. How many rupees does Pooja get?
3. 3.5 : 7 = 30 : ?
4. 4.A basket has 2 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 10 (b) 2 : 6 (c) 5 : 1 (d) 1 : 5
5. 5.2 : 5 = 16 : ?
6. 6.₹140 is shared between Zoya and Rahul in the ratio 2 : 5. How many rupees does Rahul get?
7. 7.If 7 pens cost ₹70, how many rupees do 12 pens cost?
8. 8.Write the ratio 15 : 20 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 15 : 20
9. 9.8 : 9 = 24 : ?
10. 10.1 : 2 = 7 : ?
11. 11.If 6 bus tickets cost ₹90, how many rupees do 3 bus tickets cost?
12. 12.If 2 pens cost ₹94, how many rupees do 4 pens cost?
13. 13.₹1820 is shared between Arjun and Gurpreet in the ratio 6 : 7. How many rupees does Gurpreet get?
14. 14.Write the ratio 3 : 18 in its simplest form. (a) 6 : 1 (b) 2 : 7 (c) 1 : 6 (d) 3 : 18
15. 15.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 1 hour?
16. 16.₹2660 is shared between Nisha and Rohan in the ratio 5 : 9. How many rupees does Rohan get?
17. 17.Are 25, 40, 20 and 33 in proportion? (a) Yes (b) No
18. 18.₹480 is shared between Aditya and Arjun in the ratio 5 : 7. How many rupees does Arjun get?
19. 19.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
20. 20.Are 21, 24, 28 and 32 in proportion? (a) Yes (b) No
21. 21.7 : 8 = 28 : ?
22. 22.₹2850 is shared between Aarav and Ishaan in the ratio 7 : 8. How many rupees does Ishaan get?
23. 23.₹50 is shared between Karan and Aditya in the ratio 2 : 3. How many rupees does Aditya get?
24. 24.A garden has 18 rose plants and 48 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 18 : 48 (b) 3 : 8 (c) 8 : 3 (d) 4 : 9
25. 25.₹1050 is shared between Lakshmi and Sneha in the ratio 3 : 4. How many rupees does Lakshmi get?
26. 26.A class has 8 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 8 : 12
27. 27.Write the ratio 15 : 18 in its simplest form. (a) 6 : 5 (b) 6 : 7 (c) 15 : 18 (d) 5 : 6
28. 28.A team has 5 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 7 (b) 5 : 30 (c) 1 : 6 (d) 6 : 1
29. 29.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 7 hours?
30. 30.Are 25, 40, 35 and 56 in proportion? (a) Yes (b) No
31. 31.If 4 pens cost ₹112, how many rupees do 7 pens cost?
32. 32.Are 8, 28, 14 and 52 in proportion? (a) No (b) Yes
33. 33.₹1950 is shared between Tara and Diya in the ratio 5 : 8. How many rupees does Diya get?
34. 34.If 7 mangoes cost ₹98, how many rupees do 10 mangoes cost?
35. 35.A garden has 2 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 5 (b) 2 : 10 (c) 2 : 6 (d) 5 : 1
36. 36.₹330 is shared between Aditya and Lakshmi in the ratio 2 : 9. How many rupees does Aditya get?
37. 37.Are 18, 21, 12 and 15 in proportion? (a) No (b) Yes
38. 38.Are 4, 10, 10 and 25 in proportion? (a) Yes (b) No
39. 39.7 : 8 = ? : 24
40. 40.5 : 6 = ? : 12

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