Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 185 · 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 72 : 9 in its simplest form. (a) 8 : 1 (b) 9 : 2 (c) 1 : 8 (d) 72 : 9
2. 2.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
3. 3.Are 15, 20, 18 and 24 in proportion? (a) Yes (b) No
4. 4.Are 5, 30, 4 and 26 in proportion? (a) Yes (b) No
5. 5.2 : 7 = ? : 21
6. 6.1 : 2 = 5 : ?
7. 7.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
8. 8.Write the ratio 21 : 27 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 21 : 27 (d) 7 : 9
9. 9.Write the ratio 56 : 49 in its simplest form. (a) 56 : 49 (b) 9 : 8 (c) 8 : 7 (d) 7 : 8
10. 10.₹360 is shared between Sneha and Riya in the ratio 1 : 3. How many rupees does Sneha get?
11. 11.5 : 8 = ? : 16
12. 12.A garden has 21 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 21 : 14 (c) 4 : 3 (d) 2 : 3
13. 13.If 4 pens cost ₹108, how many rupees do 3 pens cost?
14. 14.2 : 7 = 10 : ?
15. 15.₹240 is shared between Arjun and Rohan in the ratio 5 : 7. How many rupees does Rohan get?
16. 16.1 : 8 = 9 : ?
17. 17.If 6 chocolates cost ₹120, how many rupees do 4 chocolates cost?
18. 18.Are 30, 36, 40 and 49 in proportion? (a) Yes (b) No
19. 19.If 6 ice creams cost ₹222, how many rupees do 9 ice creams cost?
20. 20.₹1140 is shared between Kavya and Pooja in the ratio 1 : 5. How many rupees does Kavya get?
21. 21.If 2 ice creams cost ₹90, how many rupees do 5 ice creams cost?
22. 22.A library shelf has 15 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 15 : 12 (d) 6 : 5
23. 23.Are 6, 8, 18 and 24 in proportion? (a) Yes (b) No
24. 24.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
25. 25.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
26. 26.Write the ratio 35 : 45 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 7 : 9 (d) 35 : 45
27. 27.Are 8, 36, 6 and 27 in proportion? (a) Yes (b) No
28. 28.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
29. 29.If 9 notebooks cost ₹450, how many rupees do 11 notebooks cost?
30. 30.If 5 notebooks cost ₹75, how many rupees do 2 notebooks cost?
31. 31.8 : 9 = ? : 36
32. 32.If 7 bus tickets cost ₹231, how many rupees do 12 bus tickets cost?
33. 33.Write the ratio 42 : 49 in its simplest form. (a) 42 : 49 (b) 7 : 8 (c) 6 : 7 (d) 7 : 6
34. 34.If 8 pens cost ₹424, how many rupees do 3 pens cost?
35. 35.A library shelf has 21 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 9 (b) 7 : 8 (c) 21 : 24 (d) 8 : 7
36. 36.₹1260 is shared between Dev and Pooja in the ratio 1 : 8. How many rupees does Pooja get?
37. 37.₹500 is shared between Isha and Ishaan in the ratio 3 : 7. How many rupees does Isha get?
38. 38.If 2 ice creams cost ₹22, how many rupees do 6 ice creams cost?
39. 39.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 4 hours?
40. 40.₹880 is shared between Arjun and Ananya in the ratio 3 : 5. How many rupees does Arjun get?

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