Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 373 · 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.Write the ratio 7 : 42 in its simplest form. (a) 7 : 42 (b) 1 : 6 (c) 6 : 1 (d) 2 : 7
2. 2.If 8 ice creams cost ₹480, how many rupees do 6 ice creams cost?
3. 3.Are 2, 14, 7 and 50 in proportion? (a) Yes (b) No
4. 4.If 9 bus tickets cost ₹513, how many rupees do 8 bus tickets cost?
5. 5.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?
6. 6.If 4 ice creams cost ₹80, how many rupees do 7 ice creams cost?
7. 7.Are 30, 48, 40 and 64 in proportion? (a) Yes (b) No
8. 8.₹1820 is shared between Meera and Priya in the ratio 6 : 7. How many rupees does Meera get?
9. 9.A class has 54 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 5 (b) 54 : 45 (c) 5 : 6 (d) 7 : 6
10. 10.2 : 9 = 18 : ?
11. 11.If 2 notebooks cost ₹66, how many rupees do 8 notebooks cost?
12. 12.A box has 45 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 45 : 18 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
13. 13.A garden has 24 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 4 : 5 (c) 24 : 32 (d) 4 : 3
14. 14.If 2 pens cost ₹120, how many rupees do 9 pens cost?
15. 15.Are 30, 54, 25 and 46 in proportion? (a) Yes (b) No
16. 16.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
17. 17.₹90 is shared between Kabir and Manav in the ratio 1 : 8. How many rupees does Kabir get?
18. 18.₹810 is shared between Riya and Zoya in the ratio 2 : 7. How many rupees does Zoya get?
19. 19.₹900 is shared between Riya and Meera in the ratio 1 : 8. How many rupees does Meera get?
20. 20.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 7 hours?
21. 21.2 : 3 = 18 : ?
22. 22.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 7 hours?
23. 23.If 5 pens cost ₹190, how many rupees do 4 pens cost?
24. 24.If 9 chocolates cost ₹207, how many rupees do 12 chocolates cost?
25. 25.If 7 bus tickets cost ₹280, how many rupees do 3 bus tickets cost?
26. 26.₹1430 is shared between Ishaan and Pooja in the ratio 5 : 6. How many rupees does Pooja get?
27. 27.A library shelf has 35 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 1 (b) 8 : 2 (c) 35 : 5 (d) 1 : 7
28. 28.2 : 3 = 8 : ?
29. 29.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 2 hours?
30. 30.Are 18, 48, 9 and 24 in proportion? (a) No (b) Yes
31. 31.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
32. 32.If 5 chocolates cost ₹235, how many rupees do 11 chocolates cost?
33. 33.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
34. 34.Are 6, 30, 2 and 12 in proportion? (a) Yes (b) No
35. 35.Write the ratio 9 : 72 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 9 : 72
36. 36.A team has 12 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 7 (b) 5 : 8 (c) 12 : 21 (d) 7 : 4
37. 37.2 : 7 = ? : 14
38. 38.A library shelf has 35 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 35 : 45 (b) 8 : 10 (c) 7 : 9 (d) 9 : 7
39. 39.If 5 pens cost ₹285, how many rupees do 10 pens cost?
40. 40.1 : 9 = ? : 18

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