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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 75 · 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.Write the ratio 56 : 63 in its simplest form. (a) 9 : 8 (b) 8 : 9 (c) 9 : 10 (d) 56 : 63
  2. 2.If 4 mangoes cost ₹148, how many rupees do 11 mangoes cost?
  3. 3.Are 4, 8, 9 and 19 in proportion? (a) No (b) Yes
  4. 4.Write the ratio 28 : 24 in its simplest form. (a) 6 : 7 (b) 7 : 6 (c) 8 : 7 (d) 28 : 24
  5. 5.Write the ratio 20 : 16 in its simplest form. (a) 6 : 5 (b) 4 : 5 (c) 5 : 4 (d) 20 : 16
  6. 6.A class has 12 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 8 (b) 12 : 21 (c) 7 : 4 (d) 4 : 7
  7. 7.₹550 is shared between Isha and Kabir in the ratio 2 : 9. How many rupees does Isha get?
  8. 8.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  9. 9.Are 6, 24, 8 and 34 in proportion? (a) Yes (b) No
  10. 10.A garden has 42 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 8 (b) 42 : 49 (c) 6 : 7 (d) 7 : 6
  11. 11.If 5 mangoes cost ₹155, how many rupees do 12 mangoes cost?
  12. 12.Are 20, 24, 35 and 45 in proportion? (a) No (b) Yes
  13. 13.₹1200 is shared between Farhan and Rohan in the ratio 1 : 5. How many rupees does Farhan get?
  14. 14.If 2 ice creams cost ₹24, how many rupees do 8 ice creams cost?
  15. 15.A car goes 330 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  16. 16.If 4 notebooks cost ₹96, how many rupees do 3 notebooks cost?
  17. 17.₹1530 is shared between Tara and Sneha in the ratio 4 : 5. How many rupees does Sneha get?
  18. 18.₹3230 is shared between Meera and Sneha in the ratio 8 : 9. How many rupees does Sneha get?
  19. 19.Write the ratio 24 : 30 in its simplest form. (a) 4 : 5 (b) 5 : 6 (c) 5 : 4 (d) 24 : 30
  20. 20.Write the ratio 45 : 9 in its simplest form. (a) 1 : 5 (b) 45 : 9 (c) 5 : 1 (d) 6 : 2
  21. 21.If 2 chocolates cost ₹96, how many rupees do 8 chocolates cost?
  22. 22.A basket has 63 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 63 : 72 (c) 8 : 7 (d) 7 : 8
  23. 23.A class has 6 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 10 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  24. 24.Write the ratio 3 : 18 in its simplest form. (a) 2 : 7 (b) 3 : 18 (c) 6 : 1 (d) 1 : 6
  25. 25.₹1200 is shared between Gurpreet and Kabir in the ratio 3 : 5. How many rupees does Kabir get?
  26. 26.Write the ratio 14 : 49 in its simplest form. (a) 14 : 49 (b) 2 : 7 (c) 3 : 8 (d) 7 : 2
  27. 27.1 : 5 = ? : 20
  28. 28.₹450 is shared between Farhan and Arjun in the ratio 2 : 7. How many rupees does Arjun get?
  29. 29.Write the ratio 3 : 9 in its simplest form. (a) 3 : 9 (b) 2 : 4 (c) 3 : 1 (d) 1 : 3
  30. 30.3 : 5 = ? : 20
  31. 31.If 2 pens cost ₹74, how many rupees do 11 pens cost?
  32. 32.₹1120 is shared between Kabir and Nisha in the ratio 3 : 4. How many rupees does Nisha get?
  33. 33.If 6 notebooks cost ₹168, how many rupees do 7 notebooks cost?
  34. 34.If 3 bus tickets cost ₹57, how many rupees do 6 bus tickets cost?
  35. 35.A car goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  36. 36.Are 15, 24, 45 and 75 in proportion? (a) Yes (b) No
  37. 37.₹360 is shared between Kabir and Meera in the ratio 1 : 3. How many rupees does Kabir get?
  38. 38.A bus goes 300 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  39. 39.₹1430 is shared between Gurpreet and Aditya in the ratio 6 : 7. How many rupees does Gurpreet get?
  40. 40.₹1360 is shared between Zoya and Manav in the ratio 1 : 7. How many rupees does Manav get?

Answer key

  1. 8 : 9
  2. 407
  3. No
  4. 7 : 6
  5. 5 : 4
  6. 4 : 7
  7. 100
  8. 210
  9. No
  10. 6 : 7
  11. 372
  12. No
  13. 200
  14. 96
  15. 220
  16. 72
  17. 850
  18. 1710
  19. 4 : 5
  20. 5 : 1
  21. 384
  22. 7 : 8
  23. 3 : 5
  24. 1 : 6
  25. 750
  26. 2 : 7
  27. 4
  28. 350
  29. 1 : 3
  30. 12
  31. 407
  32. 640
  33. 196
  34. 114
  35. 75
  36. No
  37. 90
  38. 420
  39. 660
  40. 1190

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