Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 136 · 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 scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?
2. 2.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?
3. 3.4 : 9 = 36 : ?
4. 4.Are 20, 25, 12 and 15 in proportion? (a) No (b) Yes
5. 5.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 6 hours?
6. 6.Are 2, 14, 5 and 36 in proportion? (a) Yes (b) No
7. 7.A class has 12 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 28 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
8. 8.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
9. 9.A box has 63 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 2 (b) 8 : 3 (c) 63 : 18 (d) 2 : 7
10. 10.₹1540 is shared between Ishaan and Priya in the ratio 4 : 7. How many rupees does Ishaan get?
11. 11.3 : 5 = 12 : ?
12. 12.If 2 bus tickets cost ₹40, how many rupees do 11 bus tickets cost?
13. 13.₹1320 is shared between Aditya and Kabir in the ratio 3 : 8. How many rupees does Aditya get?
14. 14.₹1170 is shared between Meera and Ananya in the ratio 6 : 7. How many rupees does Meera get?
15. 15.A garden has 25 rose plants and 5 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 2 (b) 5 : 1 (c) 1 : 5 (d) 25 : 5
16. 16.A train goes 420 km in 6 hours. At the same speed, how many km does it go in 7 hours?
17. 17.If 7 notebooks cost ₹392, how many rupees do 4 notebooks cost?
18. 18.Write the ratio 35 : 5 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 35 : 5 (d) 8 : 2
19. 19.3 : 4 = 15 : ?
20. 20.A library shelf has 3 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 27 (b) 1 : 9 (c) 9 : 1 (d) 2 : 10
21. 21.₹480 is shared between Zoya and Joseph in the ratio 1 : 7. How many rupees does Zoya get?
22. 22.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
23. 23.Write the ratio 63 : 28 in its simplest form. (a) 4 : 9 (b) 9 : 4 (c) 63 : 28 (d) 10 : 5
24. 24.8 : 9 = ? : 90
25. 25.Are 4, 28, 5 and 35 in proportion? (a) Yes (b) No
26. 26.Write the ratio 2 : 16 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 2 : 16
27. 27.1 : 3 = 3 : ?
28. 28.A garden has 12 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 7 (b) 4 : 8 (c) 7 : 3 (d) 12 : 28
29. 29.₹450 is shared between Kavya and Lakshmi in the ratio 2 : 3. How many rupees does Kavya get?
30. 30.4 : 5 = 8 : ?
31. 31.₹360 is shared between Arjun and Karan in the ratio 1 : 3. How many rupees does Arjun get?
32. 32.₹760 is shared between Sneha and Ishaan in the ratio 1 : 3. How many rupees does Sneha get?
33. 33.If 8 pens cost ₹200, how many rupees do 2 pens cost?
34. 34.Are 12, 54, 10 and 45 in proportion? (a) Yes (b) No
35. 35.Are 5, 35, 8 and 56 in proportion? (a) Yes (b) No
36. 36.A class has 40 boys and 64 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 5 (b) 40 : 64 (c) 5 : 8 (d) 6 : 9
37. 37.₹1980 is shared between Farhan and Joseph in the ratio 3 : 8. How many rupees does Farhan get?
38. 38.Write the ratio 48 : 56 in its simplest form. (a) 7 : 6 (b) 48 : 56 (c) 7 : 8 (d) 6 : 7
39. 39.₹1600 is shared between Farhan and Meera in the ratio 7 : 9. How many rupees does Meera get?
40. 40.Are 4, 28, 5 and 37 in proportion? (a) No (b) Yes

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