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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 214 · 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. 1.4 : 9 = 8 : ?
  2. 2.A class has 15 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 5 (b) 5 : 6 (c) 15 : 18 (d) 6 : 7
  3. 3.A garden has 20 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 5 (b) 6 : 5 (c) 5 : 4 (d) 20 : 16
  4. 4.₹270 is shared between Karan and Manav in the ratio 4 : 5. How many rupees does Manav get?
  5. 5.A box has 45 red pens and 81 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 45 : 81 (b) 9 : 5 (c) 5 : 9 (d) 6 : 10
  6. 6.Are 5, 45, 4 and 37 in proportion? (a) No (b) Yes
  7. 7.Write the ratio 16 : 8 in its simplest form. (a) 3 : 2 (b) 2 : 1 (c) 1 : 2 (d) 16 : 8
  8. 8.If 8 chocolates cost ₹88, how many rupees do 4 chocolates cost?
  9. 9.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.2 : 3 = 4 : ?
  11. 11.Are 20, 32, 25 and 40 in proportion? (a) Yes (b) No
  12. 12.A basket has 16 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 7 : 4 (d) 16 : 28
  13. 13.Are 3, 6, 4 and 8 in proportion? (a) No (b) Yes
  14. 14.Are 12, 54, 18 and 81 in proportion? (a) Yes (b) No
  15. 15.₹480 is shared between Joseph and Riya in the ratio 1 : 7. How many rupees does Riya get?
  16. 16.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  17. 17.Are 25, 30, 35 and 43 in proportion? (a) Yes (b) No
  18. 18.Write the ratio 20 : 4 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 6 : 2 (d) 20 : 4
  19. 19.Write the ratio 6 : 42 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 6 : 42 (d) 1 : 7
  20. 20.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  21. 21.₹1690 is shared between Aarav and Riya in the ratio 6 : 7. How many rupees does Riya get?
  22. 22.Are 4, 14, 16 and 56 in proportion? (a) Yes (b) No
  23. 23.₹910 is shared between Lakshmi and Kavya in the ratio 5 : 8. How many rupees does Lakshmi get?
  24. 24.If 4 notebooks cost ₹128, how many rupees do 5 notebooks cost?
  25. 25.Are 28, 36, 14 and 20 in proportion? (a) Yes (b) No
  26. 26.If 3 mangoes cost ₹150, how many rupees do 4 mangoes cost?
  27. 27.If 8 bus tickets cost ₹304, how many rupees do 6 bus tickets cost?
  28. 28.Write the ratio 35 : 63 in its simplest form. (a) 5 : 9 (b) 6 : 10 (c) 35 : 63 (d) 9 : 5
  29. 29.A box has 63 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 9 (b) 8 : 9 (c) 63 : 56 (d) 9 : 8
  30. 30.Are 15, 20, 9 and 14 in proportion? (a) No (b) Yes
  31. 31.Write the ratio 72 : 40 in its simplest form. (a) 72 : 40 (b) 10 : 6 (c) 5 : 9 (d) 9 : 5
  32. 32.A garden has 56 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 56 : 35 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
  33. 33.If 4 ice creams cost ₹188, how many rupees do 2 ice creams cost?
  34. 34.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  35. 35.If 7 mangoes cost ₹378, how many rupees do 11 mangoes cost?
  36. 36.If 8 mangoes cost ₹232, how many rupees do 10 mangoes cost?
  37. 37.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  38. 38.If 4 ice creams cost ₹184, how many rupees do 5 ice creams cost?
  39. 39.₹1260 is shared between Diya and Isha in the ratio 2 : 7. How many rupees does Isha get?
  40. 40.Write the ratio 15 : 5 in its simplest form. (a) 15 : 5 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2

Answer key

  1. 18
  2. 5 : 6
  3. 5 : 4
  4. 150
  5. 5 : 9
  6. No
  7. 2 : 1
  8. 44
  9. 300
  10. 6
  11. Yes
  12. 4 : 7
  13. Yes
  14. Yes
  15. 420
  16. 150
  17. No
  18. 5 : 1
  19. 1 : 7
  20. 175
  21. 910
  22. Yes
  23. 350
  24. 160
  25. No
  26. 200
  27. 228
  28. 5 : 9
  29. 9 : 8
  30. No
  31. 9 : 5
  32. 8 : 5
  33. 94
  34. 55
  35. 594
  36. 290
  37. 320
  38. 230
  39. 980
  40. 3 : 1

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