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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 358 · 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 10, 15, 18 and 29 in proportion? (a) Yes (b) No
  2. 2.If 8 bus tickets cost ₹368, how many rupees do 9 bus tickets cost?
  3. 3.₹2550 is shared between Dev and Saanvi in the ratio 8 : 9. How many rupees does Dev get?
  4. 4.If 7 pens cost ₹238, how many rupees do 11 pens cost?
  5. 5.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  6. 6.Write the ratio 40 : 32 in its simplest form. (a) 6 : 5 (b) 5 : 4 (c) 4 : 5 (d) 40 : 32
  7. 7.If 3 notebooks cost ₹171, how many rupees do 2 notebooks cost?
  8. 8.₹480 is shared between Gurpreet and Kavya in the ratio 1 : 2. How many rupees does Kavya get?
  9. 9.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.If 5 pens cost ₹275, how many rupees do 4 pens cost?
  11. 11.Are 12, 28, 15 and 35 in proportion? (a) No (b) Yes
  12. 12.Write the ratio 8 : 16 in its simplest form. (a) 8 : 16 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
  13. 13.Write the ratio 35 : 49 in its simplest form. (a) 35 : 49 (b) 7 : 5 (c) 6 : 8 (d) 5 : 7
  14. 14.5 : 7 = ? : 63
  15. 15.₹1400 is shared between Vivaan and Ishaan in the ratio 5 : 9. How many rupees does Ishaan get?
  16. 16.₹960 is shared between Joseph and Zoya in the ratio 1 : 7. How many rupees does Joseph get?
  17. 17.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  18. 18.If 5 ice creams cost ₹210, how many rupees do 10 ice creams cost?
  19. 19.Write the ratio 45 : 9 in its simplest form. (a) 6 : 2 (b) 45 : 9 (c) 5 : 1 (d) 1 : 5
  20. 20.₹1210 is shared between Aditya and Kavya in the ratio 3 : 8. How many rupees does Kavya get?
  21. 21.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  22. 22.5 : 6 = ? : 24
  23. 23.A team has 54 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 7 (b) 10 : 8 (c) 54 : 42 (d) 7 : 9
  24. 24.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  25. 25.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  26. 26.₹900 is shared between Isha and Riya in the ratio 3 : 7. How many rupees does Isha get?
  27. 27.A class has 36 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 1 (b) 36 : 6 (c) 7 : 2 (d) 1 : 6
  28. 28.Write the ratio 10 : 4 in its simplest form. (a) 5 : 2 (b) 10 : 4 (c) 6 : 3 (d) 2 : 5
  29. 29.A library shelf has 8 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 2 : 3 (c) 8 : 16 (d) 2 : 1
  30. 30.Are 9, 15, 27 and 45 in proportion? (a) Yes (b) No
  31. 31.₹3230 is shared between Farhan and Aarav in the ratio 8 : 9. How many rupees does Aarav get?
  32. 32.A basket has 10 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 8 (b) 10 : 35 (c) 7 : 2 (d) 2 : 7
  33. 33.If 3 bus tickets cost ₹24, how many rupees do 6 bus tickets cost?
  34. 34.Are 15, 21, 45 and 65 in proportion? (a) Yes (b) No
  35. 35.₹1440 is shared between Arjun and Vivaan in the ratio 4 : 5. How many rupees does Vivaan get?
  36. 36.₹360 is shared between Zoya and Tara in the ratio 5 : 7. How many rupees does Tara get?
  37. 37.If 6 pens cost ₹132, how many rupees do 11 pens cost?
  38. 38.₹2210 is shared between Dev and Zoya in the ratio 5 : 8. How many rupees does Dev get?
  39. 39.₹490 is shared between Pooja and Tara in the ratio 1 : 6. How many rupees does Pooja get?
  40. 40.If 7 pens cost ₹98, how many rupees do 12 pens cost?

Answer key

  1. No
  2. 414
  3. 1200
  4. 374
  5. 105
  6. 5 : 4
  7. 114
  8. 320
  9. 330
  10. 220
  11. Yes
  12. 1 : 2
  13. 5 : 7
  14. 45
  15. 900
  16. 120
  17. 35
  18. 420
  19. 5 : 1
  20. 880
  21. 210
  22. 20
  23. 9 : 7
  24. 80
  25. 240
  26. 270
  27. 6 : 1
  28. 5 : 2
  29. 1 : 2
  30. Yes
  31. 1710
  32. 2 : 7
  33. 48
  34. No
  35. 800
  36. 210
  37. 242
  38. 850
  39. 70
  40. 168

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