Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 49 · 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.₹600 is shared between Farhan and Karan in the ratio 1 : 5. How many rupees does Karan get?
2. 2.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
3. 3.Write the ratio 15 : 18 in its simplest form. (a) 15 : 18 (b) 5 : 6 (c) 6 : 7 (d) 6 : 5
4. 4.A garden has 35 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 3 (b) 3 : 7 (c) 8 : 4 (d) 35 : 15
5. 5.₹900 is shared between Aarav and Manav in the ratio 1 : 8. How many rupees does Manav get?
6. 6.A class has 25 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 8 (b) 25 : 40 (c) 8 : 5 (d) 6 : 9
7. 7.₹360 is shared between Karan and Ananya in the ratio 1 : 8. How many rupees does Karan get?
8. 8.₹210 is shared between Tara and Nisha in the ratio 2 : 5. How many rupees does Tara get?
9. 9.2 : 3 = 6 : ?
10. 10.Are 24, 30, 8 and 10 in proportion? (a) No (b) Yes
11. 11.1 : 5 = ? : 20
12. 12.Write the ratio 12 : 4 in its simplest form. (a) 4 : 2 (b) 12 : 4 (c) 3 : 1 (d) 1 : 3
13. 13.5 : 9 = 15 : ?
14. 14.3 : 4 = ? : 20
15. 15.Are 8, 36, 16 and 72 in proportion? (a) No (b) Yes
16. 16.Are 5, 40, 8 and 65 in proportion? (a) Yes (b) No
17. 17.Are 4, 6, 10 and 15 in proportion? (a) No (b) Yes
18. 18.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 1 hour?
19. 19.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
20. 20.₹760 is shared between Lakshmi and Riya in the ratio 1 : 3. How many rupees does Riya get?
21. 21.3 : 7 = 15 : ?
22. 22.Are 15, 20, 27 and 37 in proportion? (a) Yes (b) No
23. 23.₹1560 is shared between Aarav and Farhan in the ratio 4 : 9. How many rupees does Aarav get?
24. 24.3 : 4 = 24 : ?
25. 25.1 : 5 = 10 : ?
26. 26.If 9 notebooks cost ₹153, how many rupees do 8 notebooks cost?
27. 27.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 5 : 4 (d) 35 : 28
28. 28.Are 10, 25, 12 and 32 in proportion? (a) Yes (b) No
29. 29.6 : 7 = ? : 42
30. 30.₹840 is shared between Sneha and Vivaan in the ratio 1 : 5. How many rupees does Vivaan get?
31. 31.5 : 9 = 35 : ?
32. 32.4 : 9 = ? : 27
33. 33.₹200 is shared between Ishaan and Kavya in the ratio 1 : 4. How many rupees does Ishaan get?
34. 34.₹850 is shared between Sneha and Vivaan in the ratio 1 : 4. How many rupees does Sneha get?
35. 35.₹810 is shared between Joseph and Arjun in the ratio 2 : 7. How many rupees does Joseph get?
36. 36.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 5 hours?
37. 37.A box has 9 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 9 : 18
38. 38.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 5 : 2 (c) 4 : 10 (d) 3 : 6
39. 39.Are 6, 48, 4 and 35 in proportion? (a) No (b) Yes
40. 40.If 5 pens cost ₹65, how many rupees do 8 pens cost?

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