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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 284 · 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.If 9 mangoes cost ₹351, how many rupees do 2 mangoes cost?
  2. 2.₹700 is shared between Karan and Aditya in the ratio 3 : 4. How many rupees does Karan get?
  3. 3.Write the ratio 28 : 20 in its simplest form. (a) 5 : 7 (b) 8 : 6 (c) 7 : 5 (d) 28 : 20
  4. 4.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  5. 5.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  6. 6.Write the ratio 16 : 72 in its simplest form. (a) 16 : 72 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
  7. 7.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  8. 8.₹2660 is shared between Dev and Kabir in the ratio 5 : 9. How many rupees does Dev get?
  9. 9.Write the ratio 14 : 35 in its simplest form. (a) 3 : 6 (b) 5 : 2 (c) 14 : 35 (d) 2 : 5
  10. 10.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  11. 11.Are 3, 21, 2 and 17 in proportion? (a) Yes (b) No
  12. 12.Write the ratio 10 : 45 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 10 : 45 (d) 2 : 9
  13. 13.A library shelf has 16 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 6 (b) 16 : 10 (c) 8 : 5 (d) 5 : 8
  14. 14.If 5 pens cost ₹225, how many rupees do 11 pens cost?
  15. 15.₹1120 is shared between Arjun and Tara in the ratio 7 : 9. How many rupees does Arjun get?
  16. 16.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  17. 17.If 8 chocolates cost ₹328, how many rupees do 3 chocolates cost?
  18. 18.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  19. 19.A basket has 56 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 8 (b) 56 : 7 (c) 9 : 2 (d) 8 : 1
  20. 20.Write the ratio 40 : 24 in its simplest form. (a) 3 : 5 (b) 6 : 4 (c) 5 : 3 (d) 40 : 24
  21. 21.If 4 pens cost ₹160, how many rupees do 11 pens cost?
  22. 22.If 2 pens cost ₹10, how many rupees do 7 pens cost?
  23. 23.A bus goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  24. 24.Are 36, 42, 24 and 31 in proportion? (a) No (b) Yes
  25. 25.A garden has 72 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 72 : 8
  26. 26.Are 16, 28, 36 and 63 in proportion? (a) Yes (b) No
  27. 27.If 4 mangoes cost ₹96, how many rupees do 12 mangoes cost?
  28. 28.Are 12, 30, 10 and 25 in proportion? (a) No (b) Yes
  29. 29.A class has 45 boys and 54 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 54 (b) 6 : 5 (c) 5 : 6 (d) 6 : 7
  30. 30.3 : 5 = ? : 25
  31. 31.₹960 is shared between Lakshmi and Arjun in the ratio 1 : 5. How many rupees does Arjun get?
  32. 32.Write the ratio 81 : 63 in its simplest form. (a) 81 : 63 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
  33. 33.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  34. 34.₹540 is shared between Manav and Kabir in the ratio 2 : 7. How many rupees does Kabir get?
  35. 35.If 4 chocolates cost ₹160, how many rupees do 5 chocolates cost?
  36. 36.Are 2, 12, 4 and 25 in proportion? (a) Yes (b) No
  37. 37.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  38. 38.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  39. 39.Write the ratio 5 : 20 in its simplest form. (a) 1 : 4 (b) 2 : 5 (c) 5 : 20 (d) 4 : 1
  40. 40.₹630 is shared between Zoya and Vivaan in the ratio 1 : 8. How many rupees does Zoya get?

Answer key

  1. 78
  2. 300
  3. 7 : 5
  4. 180
  5. 400
  6. 2 : 9
  7. 320
  8. 950
  9. 2 : 5
  10. 135
  11. No
  12. 2 : 9
  13. 8 : 5
  14. 495
  15. 490
  16. 140
  17. 123
  18. 60
  19. 8 : 1
  20. 5 : 3
  21. 440
  22. 35
  23. 60
  24. No
  25. 9 : 1
  26. Yes
  27. 288
  28. Yes
  29. 5 : 6
  30. 15
  31. 800
  32. 9 : 7
  33. 80
  34. 420
  35. 200
  36. No
  37. 210
  38. 35
  39. 1 : 4
  40. 70

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