Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 370 · 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 48 : 54 in its simplest form. (a) 8 : 9 (b) 9 : 10 (c) 9 : 8 (d) 48 : 54
2. 2.If 9 notebooks cost ₹279, how many rupees do 7 notebooks cost?
3. 3.Are 18, 42, 24 and 58 in proportion? (a) Yes (b) No
4. 4.A garden has 15 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 5 (b) 6 : 10 (c) 5 : 9 (d) 15 : 27
5. 5.₹1350 is shared between Gurpreet and Arjun in the ratio 2 : 7. How many rupees does Arjun get?
6. 6.Are 8, 14, 12 and 21 in proportion? (a) Yes (b) No
7. 7.3 : 7 = 24 : ?
8. 8.Write the ratio 36 : 30 in its simplest form. (a) 36 : 30 (b) 6 : 5 (c) 5 : 6 (d) 7 : 6
9. 9.₹110 is shared between Vivaan and Kabir in the ratio 4 : 7. How many rupees does Kabir get?
10. 10.A library shelf has 10 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 5 (b) 6 : 7 (c) 5 : 6 (d) 10 : 12
11. 11.A basket has 64 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 8 (b) 64 : 40 (c) 9 : 6 (d) 8 : 5
12. 12.A basket has 6 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 6 (b) 6 : 10 (c) 3 : 5 (d) 5 : 3
13. 13.6 : 7 = 48 : ?
14. 14.Are 9, 21, 18 and 42 in proportion? (a) No (b) Yes
15. 15.If 3 mangoes cost ₹66, how many rupees do 2 mangoes cost?
16. 16.If 3 bus tickets cost ₹39, how many rupees do 2 bus tickets cost?
17. 17.Are 10, 16, 40 and 66 in proportion? (a) Yes (b) No
18. 18.Are 2, 4, 4 and 8 in proportion? (a) No (b) Yes
19. 19.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 2 hours?
20. 20.Are 16, 28, 12 and 23 in proportion? (a) No (b) Yes
21. 21.A library shelf has 8 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 8 : 10
22. 22.4 : 7 = 8 : ?
23. 23.₹3400 is shared between Priya and Tara in the ratio 8 : 9. How many rupees does Tara get?
24. 24.₹2600 is shared between Nisha and Manav in the ratio 6 : 7. How many rupees does Nisha get?
25. 25.Are 10, 18, 25 and 45 in proportion? (a) Yes (b) No
26. 26.4 : 7 = ? : 28
27. 27.₹800 is shared between Aarav and Joseph in the ratio 1 : 3. How many rupees does Joseph get?
28. 28.Are 6, 14, 24 and 56 in proportion? (a) No (b) Yes
29. 29.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 4 hours?
30. 30.Write the ratio 8 : 2 in its simplest form. (a) 4 : 1 (b) 8 : 2 (c) 5 : 2 (d) 1 : 4
31. 31.A garden has 20 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 4 (b) 20 : 35 (c) 5 : 8 (d) 4 : 7
32. 32.3 : 4 = 12 : ?
33. 33.If 2 pens cost ₹58, how many rupees do 9 pens cost?
34. 34.₹1120 is shared between Ananya and Aditya in the ratio 3 : 4. How many rupees does Aditya get?
35. 35.A scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
36. 36.Write the ratio 12 : 3 in its simplest form. (a) 12 : 3 (b) 1 : 4 (c) 4 : 1 (d) 5 : 2
37. 37.If 3 notebooks cost ₹150, how many rupees do 7 notebooks cost?
38. 38.If 4 pens cost ₹48, how many rupees do 10 pens cost?
39. 39.₹1800 is shared between Joseph and Zoya in the ratio 5 : 7. How many rupees does Zoya get?
40. 40.If 9 ice creams cost ₹441, how many rupees do 5 ice creams cost?

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