Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 150 · 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.₹1080 is shared between Rohan and Diya in the ratio 1 : 5. How many rupees does Diya get?
2. 2.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 4 hours?
3. 3.Write the ratio 12 : 30 in its simplest form. (a) 12 : 30 (b) 3 : 6 (c) 5 : 2 (d) 2 : 5
4. 4.1 : 8 = 6 : ?
5. 5.Write the ratio 56 : 63 in its simplest form. (a) 9 : 10 (b) 8 : 9 (c) 56 : 63 (d) 9 : 8
6. 6.If 8 notebooks cost ₹448, how many rupees do 11 notebooks cost?
7. 7.Write the ratio 3 : 12 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 3 : 12 (d) 1 : 4
8. 8.A garden has 35 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 8 (b) 35 : 49 (c) 5 : 7 (d) 7 : 5
9. 9.If 8 pens cost ₹416, how many rupees do 5 pens cost?
10. 10.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 6 hours?
11. 11.1 : 2 = 5 : ?
12. 12.A basket has 42 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 42 : 12 (c) 7 : 2 (d) 2 : 7
13. 13.Write the ratio 8 : 32 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 8 : 32 (d) 2 : 5
14. 14.₹390 is shared between Isha and Rohan in the ratio 6 : 7. How many rupees does Isha get?
15. 15.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
16. 16.5 : 8 = 45 : ?
17. 17.Write the ratio 2 : 4 in its simplest form. (a) 2 : 4 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
18. 18.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
19. 19.If 5 notebooks cost ₹235, how many rupees do 9 notebooks cost?
20. 20.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
21. 21.₹1560 is shared between Rohan and Pooja in the ratio 5 : 7. How many rupees does Rohan get?
22. 22.A basket has 72 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 1 (b) 1 : 9 (c) 72 : 8 (d) 10 : 2
23. 23.If 8 pens cost ₹64, how many rupees do 2 pens cost?
24. 24.Write the ratio 12 : 9 in its simplest form. (a) 3 : 4 (b) 5 : 4 (c) 12 : 9 (d) 4 : 3
25. 25.₹1700 is shared between Karan and Pooja in the ratio 8 : 9. How many rupees does Pooja get?
26. 26.If 4 ice creams cost ₹88, how many rupees do 12 ice creams cost?
27. 27.A basket has 16 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 16 : 18 (b) 8 : 9 (c) 9 : 8 (d) 9 : 10
28. 28.Are 3, 6, 7 and 16 in proportion? (a) Yes (b) No
29. 29.If 5 ice creams cost ₹170, how many rupees do 4 ice creams cost?
30. 30.Write the ratio 72 : 27 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 8 : 3 (d) 72 : 27
31. 31.A class has 9 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 5 (b) 9 : 36 (c) 1 : 4 (d) 4 : 1
32. 32.Are 6, 9, 4 and 9 in proportion? (a) Yes (b) No
33. 33.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
34. 34.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 8 hours?
35. 35.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
36. 36.A class has 8 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 18 (b) 4 : 9 (c) 9 : 4 (d) 5 : 10
37. 37.6 : 7 = 12 : ?
38. 38.Are 3, 15, 4 and 21 in proportion? (a) Yes (b) No
39. 39.Are 8, 36, 4 and 18 in proportion? (a) No (b) Yes
40. 40.2 : 9 = 14 : ?

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