Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 159 · 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 2, 16, 3 and 25 in proportion? (a) No (b) Yes
2. 2.₹1440 is shared between Meera and Aarav in the ratio 2 : 7. How many rupees does Meera get?
3. 3.₹840 is shared between Kavya and Arjun in the ratio 1 : 6. How many rupees does Arjun get?
4. 4.Write the ratio 42 : 24 in its simplest form. (a) 42 : 24 (b) 8 : 5 (c) 7 : 4 (d) 4 : 7
5. 5.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
6. 6.If 2 bus tickets cost ₹110, how many rupees do 10 bus tickets cost?
7. 7.5 : 9 = ? : 18
8. 8.A box has 54 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 6 (b) 7 : 8 (c) 54 : 63 (d) 6 : 7
9. 9.2 : 5 = 8 : ?
10. 10.₹630 is shared between Isha and Ananya in the ratio 3 : 4. How many rupees does Ananya get?
11. 11.Write the ratio 18 : 15 in its simplest form. (a) 5 : 6 (b) 18 : 15 (c) 6 : 5 (d) 7 : 6
12. 12.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 6 hours?
13. 13.A library shelf has 14 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 7 (b) 8 : 3 (c) 7 : 2 (d) 14 : 4
14. 14.₹600 is shared between Ishaan and Meera in the ratio 1 : 4. How many rupees does Ishaan get?
15. 15.Write the ratio 30 : 54 in its simplest form. (a) 30 : 54 (b) 5 : 9 (c) 6 : 10 (d) 9 : 5
16. 16.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
17. 17.Write the ratio 12 : 6 in its simplest form. (a) 12 : 6 (b) 1 : 2 (c) 3 : 2 (d) 2 : 1
18. 18.Write the ratio 20 : 35 in its simplest form. (a) 20 : 35 (b) 7 : 4 (c) 4 : 7 (d) 5 : 8
19. 19.₹340 is shared between Rahul and Dev in the ratio 8 : 9. How many rupees does Dev get?
20. 20.Are 9, 21, 27 and 63 in proportion? (a) Yes (b) No
21. 21.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 5 hours?
22. 22.₹600 is shared between Zoya and Isha in the ratio 5 : 7. How many rupees does Isha get?
23. 23.Are 25, 40, 15 and 24 in proportion? (a) Yes (b) No
24. 24.1 : 2 = ? : 20
25. 25.₹220 is shared between Saanvi and Aditya in the ratio 2 : 9. How many rupees does Aditya get?
26. 26.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
27. 27.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 2 hours?
28. 28.6 : 7 = ? : 21
29. 29.Are 2, 6, 9 and 30 in proportion? (a) Yes (b) No
30. 30.₹700 is shared between Lakshmi and Rohan in the ratio 2 : 5. How many rupees does Lakshmi get?
31. 31.If 9 chocolates cost ₹81, how many rupees do 11 chocolates cost?
32. 32.A basket has 56 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 56 : 21 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3
33. 33.₹1330 is shared between Kabir and Farhan in the ratio 1 : 6. How many rupees does Farhan get?
34. 34.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
35. 35.7 : 8 = 56 : ?
36. 36.A class has 12 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 12 : 2 (d) 7 : 2
37. 37.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
38. 38.3 : 5 = 21 : ?
39. 39.₹480 is shared between Nisha and Priya in the ratio 1 : 3. How many rupees does Priya get?
40. 40.A garden has 56 rose plants and 7 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 8 (b) 8 : 1 (c) 56 : 7 (d) 9 : 2

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