Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 402 · 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.Are 2, 16, 7 and 56 in proportion? (a) Yes (b) No
2. 2.3 : 7 = ? : 63
3. 3.Write the ratio 63 : 27 in its simplest form. (a) 8 : 4 (b) 7 : 3 (c) 3 : 7 (d) 63 : 27
4. 4.Are 2, 8, 6 and 25 in proportion? (a) No (b) Yes
5. 5.Write the ratio 9 : 54 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 9 : 54 (d) 2 : 7
6. 6.If 9 ice creams cost ₹396, how many rupees do 4 ice creams cost?
7. 7.₹1120 is shared between Lakshmi and Meera in the ratio 1 : 6. How many rupees does Meera get?
8. 8.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
9. 9.₹720 is shared between Ananya and Arjun in the ratio 3 : 5. How many rupees does Ananya get?
10. 10.3 : 4 = ? : 8
11. 11.If 2 bus tickets cost ₹62, how many rupees do 5 bus tickets cost?
12. 12.Write the ratio 24 : 9 in its simplest form. (a) 3 : 8 (b) 24 : 9 (c) 8 : 3 (d) 9 : 4
13. 13.4 : 7 = ? : 63
14. 14.₹330 is shared between Meera and Joseph in the ratio 1 : 2. How many rupees does Meera get?
15. 15.Write the ratio 63 : 72 in its simplest form. (a) 8 : 7 (b) 63 : 72 (c) 7 : 8 (d) 8 : 9
16. 16.Write the ratio 8 : 32 in its simplest form. (a) 2 : 5 (b) 8 : 32 (c) 1 : 4 (d) 4 : 1
17. 17.If 7 mangoes cost ₹378, how many rupees do 6 mangoes cost?
18. 18.If 5 pens cost ₹270, how many rupees do 3 pens cost?
19. 19.₹200 is shared between Ishaan and Diya in the ratio 1 : 9. How many rupees does Diya get?
20. 20.₹600 is shared between Rohan and Aarav in the ratio 1 : 4. How many rupees does Rohan get?
21. 21.Are 24, 42, 16 and 28 in proportion? (a) No (b) Yes
22. 22.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 4 hours?
23. 23.3 : 7 = 9 : ?
24. 24.If 6 mangoes cost ₹252, how many rupees do 12 mangoes cost?
25. 25.Are 21, 24, 63 and 73 in proportion? (a) Yes (b) No
26. 26.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
27. 27.Write the ratio 18 : 24 in its simplest form. (a) 3 : 4 (b) 18 : 24 (c) 4 : 5 (d) 4 : 3
28. 28.A team has 15 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 15 : 18 (b) 6 : 5 (c) 6 : 7 (d) 5 : 6
29. 29.If 9 notebooks cost ₹189, how many rupees do 6 notebooks cost?
30. 30.₹270 is shared between Gurpreet and Ananya in the ratio 2 : 7. How many rupees does Ananya get?
31. 31.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 4 hours?
32. 32.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 6 hours?
33. 33.₹640 is shared between Pooja and Riya in the ratio 7 : 9. How many rupees does Riya get?
34. 34.3 : 8 = ? : 16
35. 35.2 : 3 = ? : 24
36. 36.A class has 9 boys and 3 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 2 (b) 1 : 3 (c) 3 : 1 (d) 9 : 3
37. 37.₹330 is shared between Riya and Ananya in the ratio 2 : 9. How many rupees does Riya get?
38. 38.₹650 is shared between Kabir and Manav in the ratio 2 : 3. How many rupees does Kabir get?
39. 39.2 : 5 = ? : 30
40. 40.If 2 chocolates cost ₹80, how many rupees do 7 chocolates cost?

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