Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 50 · 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 16 : 4 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 5 : 2 (d) 16 : 4
2. 2.1 : 3 = ? : 27
3. 3.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
4. 4.2 : 7 = ? : 56
5. 5.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
6. 6.1 : 4 = 6 : ?
7. 7.Write the ratio 24 : 42 in its simplest form. (a) 24 : 42 (b) 7 : 4 (c) 5 : 8 (d) 4 : 7
8. 8.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
9. 9.₹1300 is shared between Lakshmi and Diya in the ratio 1 : 9. How many rupees does Lakshmi get?
10. 10.₹1440 is shared between Riya and Nisha in the ratio 2 : 7. How many rupees does Nisha get?
11. 11.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
12. 12.A library shelf has 14 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 4 (b) 14 : 6 (c) 3 : 7 (d) 7 : 3
13. 13.₹1200 is shared between Arjun and Lakshmi in the ratio 3 : 7. How many rupees does Arjun get?
14. 14.Are 10, 18, 20 and 36 in proportion? (a) Yes (b) No
15. 15.If 5 mangoes cost ₹120, how many rupees do 8 mangoes cost?
16. 16.If 2 bus tickets cost ₹78, how many rupees do 11 bus tickets cost?
17. 17.If 6 mangoes cost ₹168, how many rupees do 3 mangoes cost?
18. 18.If 7 pens cost ₹133, how many rupees do 3 pens cost?
19. 19.Write the ratio 32 : 56 in its simplest form. (a) 32 : 56 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
20. 20.If 8 notebooks cost ₹392, how many rupees do 6 notebooks cost?
21. 21.₹240 is shared between Meera and Tara in the ratio 5 : 7. How many rupees does Tara get?
22. 22.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
23. 23.Are 6, 36, 2 and 14 in proportion? (a) Yes (b) No
24. 24.If 9 mangoes cost ₹450, how many rupees do 11 mangoes cost?
25. 25.A garden has 24 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 1 (b) 1 : 6 (c) 24 : 4 (d) 7 : 2
26. 26.Write the ratio 27 : 9 in its simplest form. (a) 4 : 2 (b) 1 : 3 (c) 27 : 9 (d) 3 : 1
27. 27.3 : 5 = ? : 10
28. 28.If 3 ice creams cost ₹132, how many rupees do 12 ice creams cost?
29. 29.1 : 9 = 10 : ?
30. 30.1 : 2 = ? : 16
31. 31.₹1520 is shared between Manav and Pooja in the ratio 3 : 5. How many rupees does Manav get?
32. 32.Are 24, 30, 8 and 12 in proportion? (a) No (b) Yes
33. 33.5 : 9 = 50 : ?
34. 34.Write the ratio 24 : 32 in its simplest form. (a) 4 : 3 (b) 24 : 32 (c) 3 : 4 (d) 4 : 5
35. 35.Write the ratio 28 : 4 in its simplest form. (a) 28 : 4 (b) 8 : 2 (c) 1 : 7 (d) 7 : 1
36. 36.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
37. 37.1 : 9 = ? : 72
38. 38.Write the ratio 2 : 12 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 2 : 12
39. 39.Are 3, 27, 2 and 20 in proportion? (a) No (b) Yes
40. 40.If 4 chocolates cost ₹124, how many rupees do 6 chocolates cost?

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