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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 204 · 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.Are 4, 10, 6 and 15 in proportion? (a) Yes (b) No
  2. 2.2 : 3 = 8 : ?
  3. 3.A basket has 63 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 9 (b) 8 : 10 (c) 63 : 81 (d) 9 : 7
  4. 4.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  5. 5.Write the ratio 6 : 14 in its simplest form. (a) 7 : 3 (b) 6 : 14 (c) 4 : 8 (d) 3 : 7
  6. 6.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  7. 7.If 7 bus tickets cost ₹77, how many rupees do 5 bus tickets cost?
  8. 8.Write the ratio 16 : 20 in its simplest form. (a) 5 : 4 (b) 16 : 20 (c) 4 : 5 (d) 5 : 6
  9. 9.₹660 is shared between Ananya and Rohan in the ratio 2 : 9. How many rupees does Rohan get?
  10. 10.1 : 5 = 4 : ?
  11. 11.₹3040 is shared between Meera and Riya in the ratio 7 : 9. How many rupees does Riya get?
  12. 12.₹80 is shared between Arjun and Meera in the ratio 1 : 3. How many rupees does Meera get?
  13. 13.If 7 notebooks cost ₹63, how many rupees do 6 notebooks cost?
  14. 14.If 5 bus tickets cost ₹100, how many rupees do 10 bus tickets cost?
  15. 15.If 6 pens cost ₹294, how many rupees do 5 pens cost?
  16. 16.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  17. 17.A basket has 5 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 4 (b) 5 : 15 (c) 1 : 3 (d) 3 : 1
  18. 18.If 5 chocolates cost ₹60, how many rupees do 8 chocolates cost?
  19. 19.If 6 ice creams cost ₹174, how many rupees do 11 ice creams cost?
  20. 20.A garden has 3 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 9 (b) 2 : 10 (c) 3 : 27 (d) 9 : 1
  21. 21.A team has 21 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 21 : 27 (b) 9 : 7 (c) 8 : 10 (d) 7 : 9
  22. 22.Write the ratio 48 : 42 in its simplest form. (a) 48 : 42 (b) 7 : 8 (c) 8 : 7 (d) 9 : 8
  23. 23.If 5 notebooks cost ₹125, how many rupees do 7 notebooks cost?
  24. 24.If 2 chocolates cost ₹118, how many rupees do 7 chocolates cost?
  25. 25.A garden has 9 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 1 (b) 9 : 72 (c) 1 : 8 (d) 2 : 9
  26. 26.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  27. 27.₹1430 is shared between Pooja and Ishaan in the ratio 2 : 9. How many rupees does Ishaan get?
  28. 28.₹770 is shared between Pooja and Priya in the ratio 3 : 4. How many rupees does Pooja get?
  29. 29.If 8 pens cost ₹456, how many rupees do 2 pens cost?
  30. 30.₹1710 is shared between Priya and Arjun in the ratio 1 : 8. How many rupees does Priya get?
  31. 31.₹3400 is shared between Nisha and Kavya in the ratio 8 : 9. How many rupees does Kavya get?
  32. 32.₹160 is shared between Karan and Joseph in the ratio 3 : 5. How many rupees does Joseph get?
  33. 33.Write the ratio 54 : 63 in its simplest form. (a) 54 : 63 (b) 7 : 8 (c) 6 : 7 (d) 7 : 6
  34. 34.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  35. 35.Are 16, 20, 32 and 40 in proportion? (a) No (b) Yes
  36. 36.8 : 9 = ? : 72
  37. 37.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  38. 38.Write the ratio 40 : 15 in its simplest form. (a) 3 : 8 (b) 40 : 15 (c) 8 : 3 (d) 9 : 4
  39. 39.1 : 2 = ? : 4
  40. 40.Are 6, 54, 2 and 21 in proportion? (a) No (b) Yes

Answer key

  1. Yes
  2. 12
  3. 7 : 9
  4. 75
  5. 3 : 7
  6. 240
  7. 55
  8. 4 : 5
  9. 540
  10. 20
  11. 1710
  12. 60
  13. 54
  14. 200
  15. 245
  16. 30
  17. 1 : 3
  18. 96
  19. 319
  20. 1 : 9
  21. 7 : 9
  22. 8 : 7
  23. 175
  24. 413
  25. 1 : 8
  26. 175
  27. 1170
  28. 330
  29. 114
  30. 190
  31. 1800
  32. 100
  33. 6 : 7
  34. 250
  35. Yes
  36. 64
  37. 275
  38. 8 : 3
  39. 2
  40. No

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