Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 384 · 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.Are 21, 27, 35 and 47 in proportion? (a) Yes (b) No
2. 2.5 : 6 = 15 : ?
3. 3.If 7 pens cost ₹301, how many rupees do 6 pens cost?
4. 4.Are 4, 6, 18 and 27 in proportion? (a) No (b) Yes
5. 5.Write the ratio 7 : 28 in its simplest form. (a) 7 : 28 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
6. 6.Write the ratio 20 : 4 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 20 : 4 (d) 6 : 2
7. 7.Write the ratio 24 : 18 in its simplest form. (a) 24 : 18 (b) 3 : 4 (c) 5 : 4 (d) 4 : 3
8. 8.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 3 hours?
9. 9.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
10. 10.₹1320 is shared between Kabir and Saanvi in the ratio 3 : 8. How many rupees does Kabir get?
11. 11.Are 12, 21, 36 and 65 in proportion? (a) No (b) Yes
12. 12.If 6 pens cost ₹36, how many rupees do 12 pens cost?
13. 13.1 : 9 = 7 : ?
14. 14.A basket has 10 mangoes and 25 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 10 : 25
15. 15.Write the ratio 42 : 30 in its simplest form. (a) 42 : 30 (b) 8 : 6 (c) 5 : 7 (d) 7 : 5
16. 16.₹500 is shared between Riya and Joseph in the ratio 1 : 9. How many rupees does Joseph get?
17. 17.1 : 9 = 3 : ?
18. 18.Write the ratio 8 : 72 in its simplest form. (a) 2 : 10 (b) 9 : 1 (c) 1 : 9 (d) 8 : 72
19. 19.If 9 mangoes cost ₹387, how many rupees do 6 mangoes cost?
20. 20.₹700 is shared between Tara and Ishaan in the ratio 1 : 9. How many rupees does Tara get?
21. 21.Write the ratio 14 : 8 in its simplest form. (a) 14 : 8 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
22. 22.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 8 hours?
23. 23.Write the ratio 12 : 4 in its simplest form. (a) 1 : 3 (b) 12 : 4 (c) 4 : 2 (d) 3 : 1
24. 24.₹70 is shared between Aditya and Dev in the ratio 1 : 6. How many rupees does Dev get?
25. 25.3 : 7 = 24 : ?
26. 26.Write the ratio 18 : 81 in its simplest form. (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 18 : 81
27. 27.A class has 64 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 64 : 8 (b) 1 : 8 (c) 9 : 2 (d) 8 : 1
28. 28.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 3 hours?
29. 29.Write the ratio 30 : 48 in its simplest form. (a) 30 : 48 (b) 5 : 8 (c) 6 : 9 (d) 8 : 5
30. 30.Write the ratio 2 : 6 in its simplest form. (a) 3 : 1 (b) 2 : 6 (c) 2 : 4 (d) 1 : 3
31. 31.Are 3, 9, 2 and 9 in proportion? (a) No (b) Yes
32. 32.₹540 is shared between Aarav and Riya in the ratio 1 : 8. How many rupees does Riya get?
33. 33.₹630 is shared between Gurpreet and Ananya in the ratio 4 : 5. How many rupees does Gurpreet get?
34. 34.A class has 6 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 2 : 1 (c) 6 : 12 (d) 1 : 2
35. 35.Write the ratio 35 : 40 in its simplest form. (a) 35 : 40 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
36. 36.₹1520 is shared between Nisha and Arjun in the ratio 3 : 5. How many rupees does Arjun get?
37. 37.Write the ratio 12 : 10 in its simplest form. (a) 12 : 10 (b) 5 : 6 (c) 7 : 6 (d) 6 : 5
38. 38.Are 8, 18, 36 and 81 in proportion? (a) No (b) Yes
39. 39.If 8 ice creams cost ₹336, how many rupees do 6 ice creams cost?
40. 40.A class has 40 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 5 (b) 40 : 16 (c) 5 : 2 (d) 6 : 3

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets