Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 340 · 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.A basket has 64 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 5 (b) 5 : 8 (c) 9 : 6 (d) 64 : 40
2. 2.Are 2, 12, 4 and 26 in proportion? (a) No (b) Yes
3. 3.Write the ratio 4 : 6 in its simplest form. (a) 4 : 6 (b) 3 : 4 (c) 2 : 3 (d) 3 : 2
4. 4.3 : 8 = ? : 24
5. 5.If 8 notebooks cost ₹24, how many rupees do 12 notebooks cost?
6. 6.Are 3, 9, 4 and 12 in proportion? (a) No (b) Yes
7. 7.7 : 9 = ? : 18
8. 8.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 7 hours?
9. 9.If 8 bus tickets cost ₹176, how many rupees do 4 bus tickets cost?
10. 10.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
11. 11.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 7 hours?
12. 12.Write the ratio 4 : 36 in its simplest form. (a) 2 : 10 (b) 9 : 1 (c) 4 : 36 (d) 1 : 9
13. 13.₹1430 is shared between Tara and Meera in the ratio 2 : 9. How many rupees does Meera get?
14. 14.3 : 5 = 12 : ?
15. 15.Write the ratio 24 : 3 in its simplest form. (a) 9 : 2 (b) 24 : 3 (c) 8 : 1 (d) 1 : 8
16. 16.A basket has 40 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 40 : 45 (b) 8 : 9 (c) 9 : 10 (d) 9 : 8
17. 17.A class has 48 boys and 54 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 8 (b) 8 : 9 (c) 9 : 10 (d) 48 : 54
18. 18.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
19. 19.₹2850 is shared between Ananya and Rahul in the ratio 7 : 8. How many rupees does Ananya get?
20. 20.If 6 pens cost ₹360, how many rupees do 7 pens cost?
21. 21.A garden has 21 rose plants and 3 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 2 (b) 1 : 7 (c) 21 : 3 (d) 7 : 1
22. 22.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 8 hours?
23. 23.1 : 4 = 4 : ?
24. 24.Are 32, 36, 40 and 47 in proportion? (a) No (b) Yes
25. 25.₹660 is shared between Karan and Meera in the ratio 3 : 8. How many rupees does Meera get?
26. 26.Are 4, 6, 6 and 10 in proportion? (a) Yes (b) No
27. 27.A team has 24 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 24 : 54
28. 28.Are 2, 6, 7 and 21 in proportion? (a) No (b) Yes
29. 29.Write the ratio 81 : 9 in its simplest form. (a) 1 : 9 (b) 81 : 9 (c) 9 : 1 (d) 10 : 2
30. 30.₹770 is shared between Aditya and Kavya in the ratio 2 : 9. How many rupees does Aditya get?
31. 31.If 8 notebooks cost ₹64, how many rupees do 7 notebooks cost?
32. 32.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
33. 33.3 : 5 = ? : 20
34. 34.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 7 hours?
35. 35.₹640 is shared between Sneha and Tara in the ratio 7 : 9. How many rupees does Sneha get?
36. 36.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
37. 37.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?
38. 38.If 2 notebooks cost ₹78, how many rupees do 5 notebooks cost?
39. 39.₹450 is shared between Kavya and Riya in the ratio 1 : 2. How many rupees does Riya get?
40. 40.₹770 is shared between Isha and Rohan in the ratio 2 : 5. How many rupees does Isha get?

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