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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 302 · 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.₹1920 is shared between Rahul and Isha in the ratio 7 : 9. How many rupees does Rahul get?
  2. 2.A class has 21 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 8 (b) 4 : 9 (c) 8 : 3 (d) 21 : 56
  3. 3.If 9 notebooks cost ₹117, how many rupees do 4 notebooks cost?
  4. 4.4 : 5 = 8 : ?
  5. 5.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  6. 6.Write the ratio 40 : 16 in its simplest form. (a) 6 : 3 (b) 5 : 2 (c) 2 : 5 (d) 40 : 16
  7. 7.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  8. 8.A class has 14 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 14 : 2 (d) 8 : 2
  9. 9.Write the ratio 5 : 10 in its simplest form. (a) 1 : 2 (b) 5 : 10 (c) 2 : 1 (d) 2 : 3
  10. 10.3 : 4 = ? : 24
  11. 11.₹560 is shared between Diya and Kabir in the ratio 1 : 3. How many rupees does Kabir get?
  12. 12.4 : 7 = 12 : ?
  13. 13.A class has 20 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 20 : 24 (d) 6 : 7
  14. 14.A garden has 35 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 35 : 10 (b) 2 : 7 (c) 8 : 3 (d) 7 : 2
  15. 15.Write the ratio 5 : 20 in its simplest form. (a) 5 : 20 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
  16. 16.Write the ratio 15 : 18 in its simplest form. (a) 15 : 18 (b) 6 : 5 (c) 6 : 7 (d) 5 : 6
  17. 17.If 4 chocolates cost ₹164, how many rupees do 2 chocolates cost?
  18. 18.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  19. 19.8 : 9 = ? : 27
  20. 20.2 : 5 = ? : 25
  21. 21.₹770 is shared between Aditya and Gurpreet in the ratio 4 : 7. How many rupees does Aditya get?
  22. 22.₹120 is shared between Lakshmi and Joseph in the ratio 1 : 2. How many rupees does Joseph get?
  23. 23.A garden has 32 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 9 (b) 32 : 36 (c) 9 : 10 (d) 9 : 8
  24. 24.If 5 mangoes cost ₹220, how many rupees do 2 mangoes cost?
  25. 25.A garden has 81 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 8 (b) 81 : 72 (c) 10 : 9 (d) 8 : 9
  26. 26.Are 20, 35, 16 and 29 in proportion? (a) No (b) Yes
  27. 27.1 : 6 = ? : 24
  28. 28.If 8 ice creams cost ₹200, how many rupees do 2 ice creams cost?
  29. 29.If 5 notebooks cost ₹50, how many rupees do 12 notebooks cost?
  30. 30.Are 16, 36, 32 and 73 in proportion? (a) Yes (b) No
  31. 31.If 3 bus tickets cost ₹99, how many rupees do 6 bus tickets cost?
  32. 32.Write the ratio 27 : 6 in its simplest form. (a) 10 : 3 (b) 27 : 6 (c) 2 : 9 (d) 9 : 2
  33. 33.3 : 5 = ? : 25
  34. 34.A class has 12 boys and 3 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 1 : 4 (d) 12 : 3
  35. 35.If 2 bus tickets cost ₹86, how many rupees do 5 bus tickets cost?
  36. 36.Write the ratio 49 : 35 in its simplest form. (a) 7 : 5 (b) 49 : 35 (c) 8 : 6 (d) 5 : 7
  37. 37.Write the ratio 35 : 63 in its simplest form. (a) 6 : 10 (b) 35 : 63 (c) 9 : 5 (d) 5 : 9
  38. 38.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  39. 39.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  40. 40.A box has 56 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 8 (b) 56 : 49 (c) 8 : 7 (d) 7 : 8

Answer key

  1. 840
  2. 3 : 8
  3. 52
  4. 10
  5. 30
  6. 5 : 2
  7. 180
  8. 7 : 1
  9. 1 : 2
  10. 18
  11. 420
  12. 21
  13. 5 : 6
  14. 7 : 2
  15. 1 : 4
  16. 5 : 6
  17. 82
  18. 210
  19. 24
  20. 10
  21. 280
  22. 80
  23. 8 : 9
  24. 88
  25. 9 : 8
  26. No
  27. 4
  28. 50
  29. 120
  30. No
  31. 198
  32. 9 : 2
  33. 15
  34. 4 : 1
  35. 215
  36. 7 : 5
  37. 5 : 9
  38. 45
  39. 560
  40. 8 : 7

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