Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 375 · 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 48 : 8 in its simplest form. (a) 7 : 2 (b) 1 : 6 (c) 6 : 1 (d) 48 : 8
2. 2.Are 25, 45, 45 and 81 in proportion? (a) Yes (b) No
3. 3.If 2 notebooks cost ₹94, how many rupees do 7 notebooks cost?
4. 4.If 6 notebooks cost ₹348, how many rupees do 12 notebooks cost?
5. 5.Are 24, 30, 16 and 20 in proportion? (a) No (b) Yes
6. 6.Are 6, 36, 7 and 45 in proportion? (a) No (b) Yes
7. 7.₹440 is shared between Rahul and Kabir in the ratio 5 : 6. How many rupees does Rahul get?
8. 8.Are 2, 18, 3 and 27 in proportion? (a) Yes (b) No
9. 9.Write the ratio 14 : 21 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 14 : 21
10. 10.₹2800 is shared between Saanvi and Isha in the ratio 5 : 9. How many rupees does Saanvi get?
11. 11.Write the ratio 5 : 10 in its simplest form. (a) 2 : 3 (b) 2 : 1 (c) 5 : 10 (d) 1 : 2
12. 12.₹90 is shared between Tara and Gurpreet in the ratio 2 : 7. How many rupees does Tara get?
13. 13.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 3 hours?
14. 14.A basket has 27 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 21 (b) 7 : 9 (c) 10 : 8 (d) 9 : 7
15. 15.Are 18, 42, 21 and 49 in proportion? (a) Yes (b) No
16. 16.₹2090 is shared between Karan and Aditya in the ratio 2 : 9. How many rupees does Aditya get?
17. 17.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
18. 18.If 7 bus tickets cost ₹133, how many rupees do 12 bus tickets cost?
19. 19.A class has 5 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 1 (b) 2 : 6 (c) 1 : 5 (d) 5 : 25
20. 20.Write the ratio 30 : 36 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 30 : 36 (d) 6 : 5
21. 21.Write the ratio 20 : 8 in its simplest form. (a) 6 : 3 (b) 2 : 5 (c) 20 : 8 (d) 5 : 2
22. 22.1 : 9 = 8 : ?
23. 23.₹1800 is shared between Dev and Riya in the ratio 3 : 7. How many rupees does Dev get?
24. 24.₹360 is shared between Nisha and Pooja in the ratio 1 : 3. How many rupees does Pooja get?
25. 25.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
26. 26.If 3 ice creams cost ₹60, how many rupees do 9 ice creams cost?
27. 27.A box has 42 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 7 (b) 7 : 6 (c) 7 : 8 (d) 42 : 49
28. 28.A library shelf has 12 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 12 : 28 (b) 7 : 3 (c) 4 : 8 (d) 3 : 7
29. 29.A garden has 8 rose plants and 20 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 8 : 20 (d) 3 : 6
30. 30.Write the ratio 63 : 36 in its simplest form. (a) 7 : 4 (b) 63 : 36 (c) 8 : 5 (d) 4 : 7
31. 31.5 : 8 = ? : 24
32. 32.Write the ratio 12 : 3 in its simplest form. (a) 4 : 1 (b) 12 : 3 (c) 5 : 2 (d) 1 : 4
33. 33.Are 25, 30, 35 and 42 in proportion? (a) Yes (b) No
34. 34.4 : 9 = ? : 63
35. 35.3 : 8 = ? : 56
36. 36.2 : 3 = ? : 15
37. 37.₹520 is shared between Rohan and Riya in the ratio 5 : 8. How many rupees does Riya get?
38. 38.If 8 notebooks cost ₹184, how many rupees do 7 notebooks cost?
39. 39.5 : 6 = ? : 30
40. 40.If 8 mangoes cost ₹272, how many rupees do 7 mangoes cost?

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