Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 138 · 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 8 chocolates cost ₹272, how many rupees do 2 chocolates cost?
2. 2.₹300 is shared between Aditya and Kabir in the ratio 2 : 3. How many rupees does Aditya get?
3. 3.2 : 9 = ? : 27
4. 4.Write the ratio 20 : 4 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 20 : 4 (d) 6 : 2
5. 5.1 : 3 = 7 : ?
6. 6.₹630 is shared between Dev and Isha in the ratio 2 : 7. How many rupees does Dev get?
7. 7.If 6 ice creams cost ₹204, how many rupees do 9 ice creams cost?
8. 8.Are 3, 15, 5 and 26 in proportion? (a) Yes (b) No
9. 9.1 : 5 = 5 : ?
10. 10.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 7 hours?
11. 11.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 4 hours?
12. 12.Write the ratio 6 : 15 in its simplest form. (a) 5 : 2 (b) 2 : 5 (c) 6 : 15 (d) 3 : 6
13. 13.Write the ratio 20 : 45 in its simplest form. (a) 20 : 45 (b) 5 : 10 (c) 9 : 4 (d) 4 : 9
14. 14.Write the ratio 72 : 40 in its simplest form. (a) 72 : 40 (b) 5 : 9 (c) 9 : 5 (d) 10 : 6
15. 15.Are 10, 16, 20 and 32 in proportion? (a) Yes (b) No
16. 16.₹770 is shared between Pooja and Zoya in the ratio 3 : 8. How many rupees does Zoya get?
17. 17.Are 10, 18, 40 and 74 in proportion? (a) No (b) Yes
18. 18.Write the ratio 7 : 21 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 2 : 4 (d) 7 : 21
19. 19.₹440 is shared between Meera and Arjun in the ratio 4 : 7. How many rupees does Meera get?
20. 20.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 4 hours?
21. 21.₹1560 is shared between Dev and Arjun in the ratio 4 : 9. How many rupees does Arjun get?
22. 22.₹1350 is shared between Ishaan and Saanvi in the ratio 1 : 8. How many rupees does Ishaan get?
23. 23.If 2 pens cost ₹46, how many rupees do 8 pens cost?
24. 24.3 : 4 = 15 : ?
25. 25.5 : 8 = ? : 16
26. 26.If 4 pens cost ₹20, how many rupees do 10 pens cost?
27. 27.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 3 hours?
28. 28.Write the ratio 35 : 20 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 35 : 20 (d) 8 : 5
29. 29.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
30. 30.Write the ratio 12 : 21 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 5 : 8 (d) 12 : 21
31. 31.A garden has 56 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 5 (b) 7 : 4 (c) 4 : 7 (d) 56 : 32
32. 32.If 3 ice creams cost ₹48, how many rupees do 8 ice creams cost?
33. 33.Are 2, 4, 4 and 9 in proportion? (a) No (b) Yes
34. 34.A class has 24 boys and 64 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 9 (b) 8 : 3 (c) 24 : 64 (d) 3 : 8
35. 35.Write the ratio 40 : 25 in its simplest form. (a) 8 : 5 (b) 5 : 8 (c) 9 : 6 (d) 40 : 25
36. 36.3 : 4 = ? : 28
37. 37.If 4 ice creams cost ₹52, how many rupees do 3 ice creams cost?
38. 38.3 : 8 = 30 : ?
39. 39.A box has 27 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 27 : 6 (c) 9 : 2 (d) 10 : 3
40. 40.₹240 is shared between Pooja and Aditya in the ratio 1 : 3. How many rupees does Pooja get?

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