Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 119 · 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 class has 54 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 7 (b) 54 : 42 (c) 10 : 8 (d) 7 : 9
2. 2.A library shelf has 10 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 3 : 4 (c) 2 : 3 (d) 10 : 15
3. 3.Are 8, 10, 16 and 20 in proportion? (a) Yes (b) No
4. 4.4 : 7 = 20 : ?
5. 5.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
6. 6.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Are 25, 40, 30 and 49 in proportion? (a) Yes (b) No
8. 8.If 2 chocolates cost ₹38, how many rupees do 11 chocolates cost?
9. 9.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 3 hours?
10. 10.A class has 18 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 18 : 45 (d) 2 : 5
11. 11.₹440 is shared between Rahul and Manav in the ratio 5 : 6. How many rupees does Manav get?
12. 12.₹640 is shared between Saanvi and Priya in the ratio 1 : 7. How many rupees does Saanvi get?
13. 13.Are 6, 30, 5 and 28 in proportion? (a) Yes (b) No
14. 14.₹2090 is shared between Ananya and Gurpreet in the ratio 5 : 6. How many rupees does Ananya get?
15. 15.Are 16, 18, 56 and 63 in proportion? (a) No (b) Yes
16. 16.Write the ratio 36 : 28 in its simplest form. (a) 7 : 9 (b) 9 : 7 (c) 36 : 28 (d) 10 : 8
17. 17.Are 12, 54, 8 and 38 in proportion? (a) Yes (b) No
18. 18.If 3 notebooks cost ₹54, how many rupees do 8 notebooks cost?
19. 19.If 8 pens cost ₹168, how many rupees do 10 pens cost?
20. 20.Write the ratio 72 : 32 in its simplest form. (a) 9 : 4 (b) 10 : 5 (c) 72 : 32 (d) 4 : 9
21. 21.1 : 8 = ? : 64
22. 22.₹1100 is shared between Isha and Aditya in the ratio 3 : 7. How many rupees does Aditya get?
23. 23.Are 2, 12, 5 and 32 in proportion? (a) No (b) Yes
24. 24.A box has 18 red pens and 2 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 9 (b) 10 : 2 (c) 18 : 2 (d) 9 : 1
25. 25.A class has 9 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 63 (b) 7 : 1 (c) 2 : 8 (d) 1 : 7
26. 26.If 4 bus tickets cost ₹236, how many rupees do 10 bus tickets cost?
27. 27.Are 2, 12, 6 and 37 in proportion? (a) No (b) Yes
28. 28.₹1280 is shared between Manav and Arjun in the ratio 3 : 5. How many rupees does Arjun get?
29. 29.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
30. 30.₹1320 is shared between Tara and Gurpreet in the ratio 3 : 8. How many rupees does Tara get?
31. 31.8 : 9 = ? : 18
32. 32.If 4 pens cost ₹44, how many rupees do 11 pens cost?
33. 33.A garden has 72 rose plants and 81 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 72 : 81 (b) 9 : 10 (c) 8 : 9 (d) 9 : 8
34. 34.Are 4, 8, 5 and 12 in proportion? (a) No (b) Yes
35. 35.Are 4, 18, 14 and 63 in proportion? (a) No (b) Yes
36. 36.5 : 9 = ? : 18
37. 37.Write the ratio 12 : 10 in its simplest form. (a) 6 : 5 (b) 7 : 6 (c) 12 : 10 (d) 5 : 6
38. 38.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 2 hours?
39. 39.₹1530 is shared between Riya and Rohan in the ratio 2 : 7. How many rupees does Rohan get?
40. 40.If 2 ice creams cost ₹20, how many rupees do 10 ice creams cost?

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