Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 197 · 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 : 28 in its simplest form. (a) 1 : 4 (b) 7 : 28 (c) 4 : 1 (d) 2 : 5
2. 2.2 : 3 = ? : 27
3. 3.5 : 9 = ? : 36
4. 4.Write the ratio 7 : 63 in its simplest form. (a) 1 : 9 (b) 2 : 10 (c) 9 : 1 (d) 7 : 63
5. 5.Write the ratio 49 : 42 in its simplest form. (a) 49 : 42 (b) 8 : 7 (c) 6 : 7 (d) 7 : 6
6. 6.If 9 mangoes cost ₹477, how many rupees do 8 mangoes cost?
7. 7.₹960 is shared between Kabir and Isha in the ratio 1 : 7. How many rupees does Isha get?
8. 8.If 6 pens cost ₹168, how many rupees do 9 pens cost?
9. 9.3 : 8 = ? : 56
10. 10.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 7 hours?
11. 11.₹2700 is shared between Rahul and Diya in the ratio 7 : 8. How many rupees does Rahul get?
12. 12.Are 10, 12, 30 and 36 in proportion? (a) Yes (b) No
13. 13.Write the ratio 24 : 6 in its simplest form. (a) 5 : 2 (b) 1 : 4 (c) 4 : 1 (d) 24 : 6
14. 14.1 : 2 = 9 : ?
15. 15.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 4 hours?
16. 16.Write the ratio 36 : 63 in its simplest form. (a) 36 : 63 (b) 5 : 8 (c) 4 : 7 (d) 7 : 4
17. 17.Are 10, 18, 30 and 54 in proportion? (a) No (b) Yes
18. 18.₹240 is shared between Nisha and Rohan in the ratio 1 : 3. How many rupees does Rohan get?
19. 19.₹60 is shared between Tara and Arjun in the ratio 1 : 2. How many rupees does Arjun get?
20. 20.Are 14, 18, 63 and 81 in proportion? (a) No (b) Yes
21. 21.Write the ratio 10 : 4 in its simplest form. (a) 5 : 2 (b) 10 : 4 (c) 6 : 3 (d) 2 : 5
22. 22.If 3 notebooks cost ₹21, how many rupees do 2 notebooks cost?
23. 23.Write the ratio 35 : 14 in its simplest form. (a) 6 : 3 (b) 35 : 14 (c) 2 : 5 (d) 5 : 2
24. 24.Are 20, 36, 30 and 55 in proportion? (a) No (b) Yes
25. 25.If 2 ice creams cost ₹112, how many rupees do 4 ice creams cost?
26. 26.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?
27. 27.If 7 chocolates cost ₹28, how many rupees do 2 chocolates cost?
28. 28.Write the ratio 6 : 27 in its simplest form. (a) 6 : 27 (b) 2 : 9 (c) 3 : 10 (d) 9 : 2
29. 29.₹800 is shared between Aarav and Priya in the ratio 1 : 7. How many rupees does Aarav get?
30. 30.A library shelf has 4 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 16 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
31. 31.8 : 9 = ? : 81
32. 32.If 3 ice creams cost ₹114, how many rupees do 4 ice creams cost?
33. 33.If 6 mangoes cost ₹222, how many rupees do 11 mangoes cost?
34. 34.3 : 4 = 21 : ?
35. 35.₹1050 is shared between Kabir and Meera in the ratio 1 : 6. How many rupees does Meera get?
36. 36.Are 42, 48, 14 and 16 in proportion? (a) No (b) Yes
37. 37.A basket has 27 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 9 : 8 (c) 27 : 24 (d) 10 : 9
38. 38.Write the ratio 21 : 7 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 21 : 7 (d) 4 : 2
39. 39.If 2 pens cost ₹118, how many rupees do 5 pens cost?
40. 40.4 : 7 = 36 : ?

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