Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 325 · 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.A basket has 8 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 4 : 1 (c) 1 : 4 (d) 8 : 2
2. 2.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
3. 3.1 : 6 = ? : 42
4. 4.A class has 36 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 4 : 9 (d) 36 : 16
5. 5.If 5 chocolates cost ₹290, how many rupees do 4 chocolates cost?
6. 6.Are 8, 12, 4 and 8 in proportion? (a) No (b) Yes
7. 7.8 : 9 = ? : 72
8. 8.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 5 hours?
9. 9.If 3 ice creams cost ₹159, how many rupees do 2 ice creams cost?
10. 10.A bus goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
11. 11.A class has 81 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 9 : 1 (c) 10 : 2 (d) 81 : 9
12. 12.2 : 5 = ? : 50
13. 13.Are 32, 36, 40 and 45 in proportion? (a) No (b) Yes
14. 14.₹440 is shared between Ananya and Joseph in the ratio 5 : 6. How many rupees does Joseph get?
15. 15.Write the ratio 5 : 35 in its simplest form. (a) 5 : 35 (b) 1 : 7 (c) 2 : 8 (d) 7 : 1
16. 16.Write the ratio 10 : 35 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 10 : 35 (d) 2 : 7
17. 17.Write the ratio 20 : 35 in its simplest form. (a) 20 : 35 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
18. 18.7 : 9 = ? : 81
19. 19.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 4 hours?
20. 20.Are 6, 27, 10 and 46 in proportion? (a) No (b) Yes
21. 21.A scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 7 hours?
22. 22.₹1920 is shared between Manav and Riya in the ratio 7 : 9. How many rupees does Riya get?
23. 23.1 : 2 = 5 : ?
24. 24.A box has 12 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 8 (b) 7 : 4 (c) 12 : 21 (d) 4 : 7
25. 25.₹2200 is shared between Aditya and Arjun in the ratio 2 : 9. How many rupees does Arjun get?
26. 26.If 4 chocolates cost ₹64, how many rupees do 7 chocolates cost?
27. 27.If 7 mangoes cost ₹378, how many rupees do 9 mangoes cost?
28. 28.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
29. 29.2 : 9 = ? : 72
30. 30.₹1330 is shared between Ananya and Nisha in the ratio 3 : 4. How many rupees does Ananya get?
31. 31.1 : 5 = ? : 10
32. 32.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
33. 33.₹560 is shared between Isha and Tara in the ratio 3 : 4. How many rupees does Tara get?
34. 34.If 8 mangoes cost ₹312, how many rupees do 10 mangoes cost?
35. 35.If 9 pens cost ₹225, how many rupees do 8 pens cost?
36. 36.A library shelf has 40 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 6 : 5 (c) 4 : 5 (d) 40 : 32
37. 37.If 7 notebooks cost ₹413, how many rupees do 2 notebooks cost?
38. 38.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 8 hours?
39. 39.A scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 2 hours?
40. 40.Write the ratio 36 : 63 in its simplest form. (a) 5 : 8 (b) 36 : 63 (c) 4 : 7 (d) 7 : 4

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