Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 99 · 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.If 6 notebooks cost ₹252, how many rupees do 4 notebooks cost?
2. 2.A garden has 4 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 1 (b) 2 : 7 (c) 4 : 24 (d) 1 : 6
3. 3.If 3 notebooks cost ₹117, how many rupees do 5 notebooks cost?
4. 4.A box has 24 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 24 : 9 (c) 8 : 3 (d) 9 : 4
5. 5.₹600 is shared between Isha and Ananya in the ratio 1 : 2. How many rupees does Ananya get?
6. 6.₹150 is shared between Dev and Arjun in the ratio 2 : 3. How many rupees does Dev get?
7. 7.If 3 notebooks cost ₹108, how many rupees do 11 notebooks cost?
8. 8.Are 28, 32, 35 and 43 in proportion? (a) Yes (b) No
9. 9.3 : 4 = 27 : ?
10. 10.Are 24, 27, 48 and 54 in proportion? (a) No (b) Yes
11. 11.If 3 mangoes cost ₹129, how many rupees do 10 mangoes cost?
12. 12.A basket has 9 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 3 (b) 9 : 6 (c) 3 : 2 (d) 2 : 3
13. 13.If 4 ice creams cost ₹208, how many rupees do 10 ice creams cost?
14. 14.If 4 pens cost ₹192, how many rupees do 10 pens cost?
15. 15.A box has 5 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 1 (b) 5 : 25 (c) 2 : 6 (d) 1 : 5
16. 16.₹950 is shared between Nisha and Farhan in the ratio 2 : 3. How many rupees does Nisha get?
17. 17.₹200 is shared between Lakshmi and Karan in the ratio 1 : 9. How many rupees does Lakshmi get?
18. 18.Write the ratio 12 : 28 in its simplest form. (a) 4 : 8 (b) 12 : 28 (c) 3 : 7 (d) 7 : 3
19. 19.Write the ratio 21 : 9 in its simplest form. (a) 7 : 3 (b) 21 : 9 (c) 3 : 7 (d) 8 : 4
20. 20.₹1210 is shared between Vivaan and Farhan in the ratio 3 : 8. How many rupees does Vivaan get?
21. 21.If 2 bus tickets cost ₹56, how many rupees do 8 bus tickets cost?
22. 22.₹990 is shared between Nisha and Kavya in the ratio 2 : 7. How many rupees does Kavya get?
23. 23.₹750 is shared between Sneha and Diya in the ratio 7 : 8. How many rupees does Sneha get?
24. 24.Write the ratio 10 : 18 in its simplest form. (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 10 : 18
25. 25.1 : 5 = 3 : ?
26. 26.Are 3, 15, 9 and 46 in proportion? (a) Yes (b) No
27. 27.Are 2, 8, 3 and 12 in proportion? (a) No (b) Yes
28. 28.If 8 mangoes cost ₹288, how many rupees do 3 mangoes cost?
29. 29.₹270 is shared between Saanvi and Zoya in the ratio 2 : 7. How many rupees does Saanvi get?
30. 30.₹2340 is shared between Riya and Kavya in the ratio 5 : 8. How many rupees does Kavya get?
31. 31.1 : 2 = 9 : ?
32. 32.Write the ratio 30 : 24 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 30 : 24 (d) 6 : 5
33. 33.Are 6, 30, 7 and 38 in proportion? (a) Yes (b) No
34. 34.Are 14, 16, 63 and 72 in proportion? (a) No (b) Yes
35. 35.Are 25, 40, 15 and 24 in proportion? (a) Yes (b) No
36. 36.Write the ratio 10 : 12 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 10 : 12 (d) 5 : 6
37. 37.1 : 8 = ? : 16
38. 38.₹960 is shared between Karan and Kabir in the ratio 1 : 7. How many rupees does Karan get?
39. 39.2 : 7 = 16 : ?
40. 40.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 6 hours?

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