Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 163 · 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. 1.1 : 5 = 4 : ?
2. 2.₹200 is shared between Vivaan and Meera in the ratio 3 : 7. How many rupees does Vivaan get?
3. 3.₹640 is shared between Saanvi and Ishaan in the ratio 7 : 9. How many rupees does Saanvi get?
4. 4.Write the ratio 72 : 27 in its simplest form. (a) 8 : 3 (b) 9 : 4 (c) 72 : 27 (d) 3 : 8
5. 5.₹630 is shared between Manav and Vivaan in the ratio 2 : 5. How many rupees does Vivaan get?
6. 6.Are 6, 10, 15 and 25 in proportion? (a) No (b) Yes
7. 7.₹1800 is shared between Meera and Farhan in the ratio 4 : 5. How many rupees does Farhan get?
8. 8.Write the ratio 6 : 10 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 6 : 10 (d) 4 : 6
9. 9.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 7 hours?
10. 10.If 2 notebooks cost ₹84, how many rupees do 11 notebooks cost?
11. 11.Are 2, 16, 5 and 40 in proportion? (a) Yes (b) No
12. 12.A box has 28 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 28 : 63 (b) 4 : 9 (c) 9 : 4 (d) 5 : 10
13. 13.If 4 chocolates cost ₹124, how many rupees do 5 chocolates cost?
14. 14.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 1 hour?
15. 15.Are 2, 6, 9 and 27 in proportion? (a) No (b) Yes
16. 16.₹850 is shared between Ananya and Isha in the ratio 2 : 3. How many rupees does Ananya get?
17. 17.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
18. 18.If 4 mangoes cost ₹176, how many rupees do 12 mangoes cost?
19. 19.4 : 5 = 20 : ?
20. 20.A bus goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
21. 21.6 : 7 = ? : 70
22. 22.If 6 ice creams cost ₹246, how many rupees do 5 ice creams cost?
23. 23.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
24. 24.If 2 notebooks cost ₹108, how many rupees do 5 notebooks cost?
25. 25.4 : 9 = 8 : ?
26. 26.Are 6, 9, 10 and 15 in proportion? (a) Yes (b) No
27. 27.Write the ratio 21 : 9 in its simplest form. (a) 8 : 4 (b) 21 : 9 (c) 7 : 3 (d) 3 : 7
28. 28.If 3 pens cost ₹132, how many rupees do 9 pens cost?
29. 29.₹550 is shared between Meera and Vivaan in the ratio 3 : 8. How many rupees does Vivaan get?
30. 30.If 3 ice creams cost ₹102, how many rupees do 12 ice creams cost?
31. 31.₹1400 is shared between Vivaan and Karan in the ratio 3 : 4. How many rupees does Vivaan get?
32. 32.Are 18, 30, 21 and 35 in proportion? (a) Yes (b) No
33. 33.1 : 6 = 2 : ?
34. 34.If 5 notebooks cost ₹140, how many rupees do 4 notebooks cost?
35. 35.5 : 8 = ? : 80
36. 36.₹440 is shared between Riya and Zoya in the ratio 4 : 7. How many rupees does Riya get?
37. 37.A team has 9 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 3 (b) 4 : 9 (c) 3 : 8 (d) 9 : 24
38. 38.If 2 chocolates cost ₹24, how many rupees do 4 chocolates cost?
39. 39.Are 8, 36, 4 and 20 in proportion? (a) Yes (b) No
40. 40.A class has 54 boys and 48 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 9 (b) 10 : 9 (c) 9 : 8 (d) 54 : 48

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