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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 26 · 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.Are 6, 12, 2 and 6 in proportion? (a) Yes (b) No
  2. 2.If 8 mangoes cost ₹288, how many rupees do 7 mangoes cost?
  3. 3.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  4. 4.₹520 is shared between Kabir and Ananya in the ratio 6 : 7. How many rupees does Ananya get?
  5. 5.3 : 8 = ? : 24
  6. 6.A team has 72 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 72 : 32
  7. 7.A box has 72 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 72 : 9 (b) 9 : 2 (c) 8 : 1 (d) 1 : 8
  8. 8.1 : 9 = ? : 72
  9. 9.A team has 32 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 4 (b) 4 : 3 (c) 3 : 4 (d) 32 : 24
  10. 10.Are 6, 14, 18 and 44 in proportion? (a) Yes (b) No
  11. 11.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  12. 12.Are 15, 35, 21 and 50 in proportion? (a) Yes (b) No
  13. 13.A team has 5 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 10 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
  14. 14.A team has 16 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 16 : 4 (d) 1 : 4
  15. 15.Are 4, 18, 18 and 84 in proportion? (a) Yes (b) No
  16. 16.A train goes 330 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  17. 17.A basket has 45 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 45 : 20 (d) 10 : 5
  18. 18.₹2200 is shared between Isha and Nisha in the ratio 2 : 9. How many rupees does Nisha get?
  19. 19.5 : 8 = ? : 48
  20. 20.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  21. 21.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  22. 22.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  23. 23.A box has 42 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 42 : 49 (b) 6 : 7 (c) 7 : 8 (d) 7 : 6
  24. 24.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  25. 25.Are 6, 16, 12 and 32 in proportion? (a) Yes (b) No
  26. 26.₹630 is shared between Vivaan and Karan in the ratio 2 : 5. How many rupees does Karan get?
  27. 27.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  28. 28.A basket has 63 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 7 (b) 63 : 72 (c) 8 : 9 (d) 7 : 8
  29. 29.₹200 is shared between Rahul and Joseph in the ratio 3 : 7. How many rupees does Rahul get?
  30. 30.₹130 is shared between Tara and Joseph in the ratio 4 : 9. How many rupees does Tara get?
  31. 31.Write the ratio 2 : 8 in its simplest form. (a) 1 : 4 (b) 2 : 8 (c) 4 : 1 (d) 2 : 5
  32. 32.₹720 is shared between Saanvi and Sneha in the ratio 1 : 7. How many rupees does Sneha get?
  33. 33.Write the ratio 18 : 27 in its simplest form. (a) 18 : 27 (b) 2 : 3 (c) 3 : 2 (d) 3 : 4
  34. 34.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  35. 35.Are 8, 18, 16 and 36 in proportion? (a) No (b) Yes
  36. 36.Write the ratio 63 : 72 in its simplest form. (a) 8 : 9 (b) 8 : 7 (c) 63 : 72 (d) 7 : 8
  37. 37.If 8 notebooks cost ₹360, how many rupees do 4 notebooks cost?
  38. 38.If 4 pens cost ₹16, how many rupees do 9 pens cost?
  39. 39.Write the ratio 18 : 21 in its simplest form. (a) 6 : 7 (b) 18 : 21 (c) 7 : 8 (d) 7 : 6
  40. 40.If 2 pens cost ₹6, how many rupees do 9 pens cost?

Answer key

  1. No
  2. 252
  3. 560
  4. 280
  5. 9
  6. 9 : 4
  7. 8 : 1
  8. 8
  9. 4 : 3
  10. No
  11. 520
  12. No
  13. 1 : 2
  14. 4 : 1
  15. No
  16. 440
  17. 9 : 4
  18. 1800
  19. 30
  20. 360
  21. 150
  22. 350
  23. 6 : 7
  24. 225
  25. Yes
  26. 450
  27. 280
  28. 7 : 8
  29. 60
  30. 40
  31. 1 : 4
  32. 630
  33. 2 : 3
  34. 210
  35. Yes
  36. 7 : 8
  37. 180
  38. 36
  39. 6 : 7
  40. 27

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