Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 291 · 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 car goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
2. 2.1 : 9 = ? : 27
3. 3.₹400 is shared between Ananya and Kabir in the ratio 1 : 3. How many rupees does Kabir get?
4. 4.Are 2, 6, 8 and 25 in proportion? (a) Yes (b) No
5. 5.Write the ratio 8 : 12 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 8 : 12 (d) 3 : 4
6. 6.Are 18, 42, 9 and 23 in proportion? (a) Yes (b) No
7. 7.A basket has 40 mangoes and 64 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 9 (b) 5 : 8 (c) 8 : 5 (d) 40 : 64
8. 8.Write the ratio 35 : 63 in its simplest form. (a) 35 : 63 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
9. 9.If 9 mangoes cost ₹63, how many rupees do 6 mangoes cost?
10. 10.3 : 4 = 6 : ?
11. 11.₹1800 is shared between Ananya and Karan in the ratio 5 : 7. How many rupees does Karan get?
12. 12.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 3 hours?
13. 13.7 : 9 = ? : 36
14. 14.1 : 3 = ? : 6
15. 15.A library shelf has 49 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 49 : 28 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
16. 16.₹1950 is shared between Arjun and Diya in the ratio 4 : 9. How many rupees does Diya get?
17. 17.3 : 8 = ? : 72
18. 18.5 : 7 = 40 : ?
19. 19.Are 20, 36, 45 and 82 in proportion? (a) No (b) Yes
20. 20.1 : 2 = 8 : ?
21. 21.A class has 2 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 14 (b) 1 : 7 (c) 7 : 1 (d) 2 : 8
22. 22.₹700 is shared between Sneha and Aditya in the ratio 3 : 4. How many rupees does Aditya get?
23. 23.5 : 6 = ? : 54
24. 24.₹110 is shared between Meera and Isha in the ratio 4 : 7. How many rupees does Meera get?
25. 25.₹980 is shared between Manav and Meera in the ratio 5 : 9. How many rupees does Manav get?
26. 26.₹1040 is shared between Tara and Diya in the ratio 6 : 7. How many rupees does Diya get?
27. 27.A box has 27 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 27 : 36 (b) 3 : 4 (c) 4 : 5 (d) 4 : 3
28. 28.2 : 5 = ? : 25
29. 29.Are 6, 42, 5 and 36 in proportion? (a) No (b) Yes
30. 30.A class has 2 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 1 (b) 2 : 10 (c) 1 : 5 (d) 2 : 6
31. 31.Are 4, 10, 18 and 45 in proportion? (a) Yes (b) No
32. 32.Are 10, 45, 8 and 37 in proportion? (a) Yes (b) No
33. 33.Write the ratio 21 : 56 in its simplest form. (a) 4 : 9 (b) 3 : 8 (c) 8 : 3 (d) 21 : 56
34. 34.5 : 8 = ? : 72
35. 35.If 7 bus tickets cost ₹392, how many rupees do 3 bus tickets cost?
36. 36.Write the ratio 18 : 15 in its simplest form. (a) 18 : 15 (b) 6 : 5 (c) 5 : 6 (d) 7 : 6
37. 37.5 : 6 = 35 : ?
38. 38.A box has 21 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 21 : 6 (c) 8 : 3 (d) 7 : 2
39. 39.Write the ratio 4 : 20 in its simplest form. (a) 4 : 20 (b) 1 : 5 (c) 5 : 1 (d) 2 : 6
40. 40.If 3 chocolates cost ₹57, how many rupees do 10 chocolates cost?

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