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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 292 · 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 scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  2. 2.A basket has 28 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 1 (b) 1 : 7 (c) 28 : 4 (d) 8 : 2
  3. 3.1 : 7 = 5 : ?
  4. 4.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  5. 5.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  6. 6.A car goes 450 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  7. 7.A box has 8 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 6 (b) 1 : 5 (c) 8 : 40 (d) 5 : 1
  8. 8.Write the ratio 54 : 12 in its simplest form. (a) 54 : 12 (b) 2 : 9 (c) 10 : 3 (d) 9 : 2
  9. 9.Write the ratio 16 : 14 in its simplest form. (a) 9 : 8 (b) 16 : 14 (c) 7 : 8 (d) 8 : 7
  10. 10.If 3 notebooks cost ₹42, how many rupees do 8 notebooks cost?
  11. 11.₹1900 is shared between Manav and Riya in the ratio 3 : 7. How many rupees does Riya get?
  12. 12.₹1080 is shared between Arjun and Nisha in the ratio 2 : 7. How many rupees does Arjun get?
  13. 13.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  14. 14.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  15. 15.Are 6, 54, 3 and 27 in proportion? (a) No (b) Yes
  16. 16.A garden has 8 rose plants and 40 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 40 (b) 2 : 6 (c) 5 : 1 (d) 1 : 5
  17. 17.₹70 is shared between Dev and Farhan in the ratio 1 : 6. How many rupees does Farhan get?
  18. 18.2 : 3 = ? : 12
  19. 19.₹180 is shared between Tara and Dev in the ratio 1 : 2. How many rupees does Tara get?
  20. 20.Write the ratio 8 : 32 in its simplest form. (a) 1 : 4 (b) 8 : 32 (c) 4 : 1 (d) 2 : 5
  21. 21.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  22. 22.If 6 pens cost ₹144, how many rupees do 8 pens cost?
  23. 23.Are 6, 42, 3 and 24 in proportion? (a) No (b) Yes
  24. 24.Write the ratio 63 : 54 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 63 : 54 (d) 6 : 7
  25. 25.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  26. 26.A garden has 9 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 4 (b) 2 : 5 (c) 9 : 36 (d) 4 : 1
  27. 27.2 : 3 = 10 : ?
  28. 28.2 : 5 = ? : 50
  29. 29.If 9 bus tickets cost ₹36, how many rupees do 4 bus tickets cost?
  30. 30.Write the ratio 40 : 32 in its simplest form. (a) 40 : 32 (b) 4 : 5 (c) 6 : 5 (d) 5 : 4
  31. 31.5 : 7 = ? : 21
  32. 32.₹560 is shared between Meera and Lakshmi in the ratio 5 : 9. How many rupees does Lakshmi get?
  33. 33.A box has 16 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 16 : 8 (d) 3 : 2
  34. 34.Write the ratio 32 : 12 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 32 : 12 (d) 8 : 3
  35. 35.Are 30, 54, 20 and 36 in proportion? (a) No (b) Yes
  36. 36.If 2 pens cost ₹112, how many rupees do 6 pens cost?
  37. 37.3 : 8 = ? : 64
  38. 38.A garden has 63 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 6 (b) 5 : 9 (c) 9 : 5 (d) 63 : 35
  39. 39.A garden has 7 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 3 (b) 2 : 4 (c) 3 : 1 (d) 7 : 21
  40. 40.A class has 45 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 8 (b) 7 : 9 (c) 45 : 35 (d) 9 : 7

Answer key

  1. 325
  2. 7 : 1
  3. 35
  4. 35
  5. 70
  6. 525
  7. 1 : 5
  8. 9 : 2
  9. 8 : 7
  10. 112
  11. 1330
  12. 240
  13. 70
  14. 30
  15. Yes
  16. 1 : 5
  17. 60
  18. 8
  19. 60
  20. 1 : 4
  21. 330
  22. 192
  23. No
  24. 7 : 6
  25. 70
  26. 1 : 4
  27. 15
  28. 20
  29. 16
  30. 5 : 4
  31. 15
  32. 360
  33. 2 : 1
  34. 8 : 3
  35. Yes
  36. 336
  37. 24
  38. 9 : 5
  39. 1 : 3
  40. 9 : 7

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