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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 151 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  2. 2.Write the ratio 3 : 21 in its simplest form. (a) 1 : 7 (b) 7 : 1 (c) 3 : 21 (d) 2 : 8
  3. 3.1 : 5 = 2 : ?
  4. 4.₹1600 is shared between Nisha and Lakshmi in the ratio 3 : 5. How many rupees does Lakshmi get?
  5. 5.5 : 6 = ? : 36
  6. 6.If 2 ice creams cost ₹76, how many rupees do 11 ice creams cost?
  7. 7.₹1080 is shared between Ishaan and Lakshmi in the ratio 5 : 7. How many rupees does Lakshmi get?
  8. 8.A basket has 8 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 32 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
  9. 9.If 7 ice creams cost ₹140, how many rupees do 3 ice creams cost?
  10. 10.Are 3, 21, 5 and 35 in proportion? (a) Yes (b) No
  11. 11.Are 5, 40, 9 and 73 in proportion? (a) Yes (b) No
  12. 12.1 : 2 = ? : 12
  13. 13.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  14. 14.₹3400 is shared between Lakshmi and Arjun in the ratio 8 : 9. How many rupees does Lakshmi get?
  15. 15.Write the ratio 6 : 18 in its simplest form. (a) 6 : 18 (b) 3 : 1 (c) 2 : 4 (d) 1 : 3
  16. 16.₹2100 is shared between Riya and Zoya in the ratio 7 : 8. How many rupees does Zoya get?
  17. 17.Write the ratio 42 : 36 in its simplest form. (a) 42 : 36 (b) 6 : 7 (c) 8 : 7 (d) 7 : 6
  18. 18.If 7 notebooks cost ₹161, how many rupees do 8 notebooks cost?
  19. 19.A garden has 4 rose plants and 2 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 3 : 2 (d) 4 : 2
  20. 20.4 : 5 = ? : 30
  21. 21.A team has 16 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 2 (b) 16 : 2 (c) 8 : 1 (d) 1 : 8
  22. 22.₹400 is shared between Isha and Rohan in the ratio 1 : 4. How many rupees does Rohan get?
  23. 23.₹400 is shared between Meera and Riya in the ratio 3 : 5. How many rupees does Meera get?
  24. 24.If 3 ice creams cost ₹87, how many rupees do 6 ice creams cost?
  25. 25.A garden has 40 rose plants and 25 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 5 (b) 40 : 25 (c) 5 : 8 (d) 9 : 6
  26. 26.Are 25, 30, 45 and 56 in proportion? (a) Yes (b) No
  27. 27.5 : 7 = ? : 35
  28. 28.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  29. 29.A box has 36 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 36 : 63 (b) 7 : 4 (c) 5 : 8 (d) 4 : 7
  30. 30.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  31. 31.A team has 6 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 6 : 4 (c) 4 : 3 (d) 2 : 3
  32. 32.4 : 9 = ? : 54
  33. 33.A team has 2 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 2 : 14 (d) 2 : 8
  34. 34.₹1120 is shared between Isha and Tara in the ratio 3 : 4. How many rupees does Isha get?
  35. 35.Write the ratio 18 : 63 in its simplest form. (a) 3 : 8 (b) 2 : 7 (c) 7 : 2 (d) 18 : 63
  36. 36.If 3 bus tickets cost ₹51, how many rupees do 5 bus tickets cost?
  37. 37.If 5 pens cost ₹20, how many rupees do 9 pens cost?
  38. 38.₹210 is shared between Tara and Meera in the ratio 3 : 4. How many rupees does Tara get?
  39. 39.₹1080 is shared between Rahul and Zoya in the ratio 5 : 7. How many rupees does Rahul get?
  40. 40.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?

Answer key

  1. 245
  2. 1 : 7
  3. 10
  4. 1000
  5. 30
  6. 418
  7. 630
  8. 1 : 4
  9. 60
  10. Yes
  11. No
  12. 6
  13. 350
  14. 1600
  15. 1 : 3
  16. 1120
  17. 7 : 6
  18. 184
  19. 2 : 1
  20. 24
  21. 8 : 1
  22. 320
  23. 150
  24. 174
  25. 8 : 5
  26. No
  27. 25
  28. 180
  29. 4 : 7
  30. 45
  31. 3 : 2
  32. 24
  33. 1 : 7
  34. 480
  35. 2 : 7
  36. 85
  37. 36
  38. 90
  39. 450
  40. 80

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