Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 417 · 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 10 : 25 in its simplest form. (a) 10 : 25 (b) 5 : 2 (c) 3 : 6 (d) 2 : 5
2. 2.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 7 hours?
3. 3.1 : 7 = 5 : ?
4. 4.If 6 pens cost ₹264, how many rupees do 11 pens cost?
5. 5.A box has 4 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 8 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
6. 6.A box has 63 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 63 : 28
7. 7.₹1650 is shared between Vivaan and Tara in the ratio 5 : 6. How many rupees does Tara get?
8. 8.2 : 3 = ? : 18
9. 9.₹2890 is shared between Farhan and Kavya in the ratio 8 : 9. How many rupees does Farhan get?
10. 10.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
11. 11.A basket has 32 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 4 (b) 32 : 72 (c) 4 : 9 (d) 5 : 10
12. 12.₹2250 is shared between Isha and Priya in the ratio 7 : 8. How many rupees does Isha get?
13. 13.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 35 : 28 (d) 5 : 4
14. 14.Write the ratio 4 : 14 in its simplest form. (a) 3 : 8 (b) 4 : 14 (c) 7 : 2 (d) 2 : 7
15. 15.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 7 hours?
16. 16.Are 9, 24, 24 and 67 in proportion? (a) No (b) Yes
17. 17.₹220 is shared between Manav and Isha in the ratio 4 : 7. How many rupees does Manav get?
18. 18.Are 15, 24, 10 and 17 in proportion? (a) Yes (b) No
19. 19.If 9 bus tickets cost ₹504, how many rupees do 6 bus tickets cost?
20. 20.If 3 notebooks cost ₹159, how many rupees do 2 notebooks cost?
21. 21.2 : 7 = 10 : ?
22. 22.4 : 9 = 8 : ?
23. 23.1 : 4 = 4 : ?
24. 24.Write the ratio 16 : 14 in its simplest form. (a) 7 : 8 (b) 16 : 14 (c) 8 : 7 (d) 9 : 8
25. 25.If 6 chocolates cost ₹258, how many rupees do 4 chocolates cost?
26. 26.Are 4, 14, 6 and 24 in proportion? (a) Yes (b) No
27. 27.Are 10, 15, 4 and 6 in proportion? (a) No (b) Yes
28. 28.3 : 7 = 30 : ?
29. 29.A class has 63 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 63 : 7 (c) 10 : 2 (d) 9 : 1
30. 30.₹720 is shared between Isha and Farhan in the ratio 4 : 5. How many rupees does Farhan get?
31. 31.If 5 chocolates cost ₹195, how many rupees do 10 chocolates cost?
32. 32.3 : 7 = ? : 35
33. 33.Are 6, 16, 21 and 59 in proportion? (a) Yes (b) No
34. 34.2 : 5 = 18 : ?
35. 35.A train goes 420 km in 6 hours. At the same speed, how many km does it go in 8 hours?
36. 36.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
37. 37.Are 8, 10, 16 and 20 in proportion? (a) No (b) Yes
38. 38.4 : 7 = 24 : ?
39. 39.₹450 is shared between Ananya and Pooja in the ratio 2 : 3. How many rupees does Ananya get?
40. 40.Write the ratio 28 : 20 in its simplest form. (a) 5 : 7 (b) 8 : 6 (c) 7 : 5 (d) 28 : 20

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