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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 406 · 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 20, 36, 10 and 18 in proportion? (a) No (b) Yes
  2. 2.Are 2, 10, 4 and 20 in proportion? (a) Yes (b) No
  3. 3.Write the ratio 64 : 56 in its simplest form. (a) 9 : 8 (b) 8 : 7 (c) 7 : 8 (d) 64 : 56
  4. 4.Write the ratio 54 : 6 in its simplest form. (a) 54 : 6 (b) 9 : 1 (c) 10 : 2 (d) 1 : 9
  5. 5.₹360 is shared between Rahul and Arjun in the ratio 1 : 5. How many rupees does Arjun get?
  6. 6.₹200 is shared between Aarav and Meera in the ratio 1 : 3. How many rupees does Aarav get?
  7. 7.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  8. 8.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  9. 9.If 2 bus tickets cost ₹68, how many rupees do 4 bus tickets cost?
  10. 10.If 5 pens cost ₹190, how many rupees do 2 pens cost?
  11. 11.Write the ratio 3 : 21 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 3 : 21 (d) 1 : 7
  12. 12.₹150 is shared between Kavya and Riya in the ratio 7 : 8. How many rupees does Riya get?
  13. 13.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  14. 14.₹1800 is shared between Priya and Rahul in the ratio 1 : 8. How many rupees does Priya get?
  15. 15.If 6 notebooks cost ₹342, how many rupees do 3 notebooks cost?
  16. 16.A basket has 56 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 10 (b) 8 : 9 (c) 9 : 8 (d) 56 : 63
  17. 17.₹1400 is shared between Joseph and Lakshmi in the ratio 2 : 5. How many rupees does Joseph get?
  18. 18.₹360 is shared between Ananya and Pooja in the ratio 1 : 3. How many rupees does Ananya get?
  19. 19.Write the ratio 54 : 45 in its simplest form. (a) 54 : 45 (b) 5 : 6 (c) 7 : 6 (d) 6 : 5
  20. 20.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  21. 21.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  22. 22.₹1540 is shared between Isha and Zoya in the ratio 4 : 7. How many rupees does Isha get?
  23. 23.Write the ratio 81 : 45 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 81 : 45 (d) 10 : 6
  24. 24.If 3 ice creams cost ₹147, how many rupees do 11 ice creams cost?
  25. 25.Write the ratio 28 : 4 in its simplest form. (a) 28 : 4 (b) 7 : 1 (c) 1 : 7 (d) 8 : 2
  26. 26.₹650 is shared between Riya and Ananya in the ratio 5 : 8. How many rupees does Riya get?
  27. 27.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  28. 28.3 : 8 = 12 : ?
  29. 29.1 : 3 = 2 : ?
  30. 30.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  31. 31.If 7 mangoes cost ₹56, how many rupees do 4 mangoes cost?
  32. 32.7 : 9 = 14 : ?
  33. 33.Write the ratio 56 : 35 in its simplest form. (a) 8 : 5 (b) 9 : 6 (c) 5 : 8 (d) 56 : 35
  34. 34.Write the ratio 20 : 32 in its simplest form. (a) 8 : 5 (b) 20 : 32 (c) 6 : 9 (d) 5 : 8
  35. 35.A basket has 72 mangoes and 64 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 9 (b) 8 : 9 (c) 9 : 8 (d) 72 : 64
  36. 36.Are 3, 9, 4 and 12 in proportion? (a) Yes (b) No
  37. 37.4 : 9 = 24 : ?
  38. 38.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  39. 39.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  40. 40.Are 9, 12, 21 and 30 in proportion? (a) No (b) Yes

Answer key

  1. Yes
  2. Yes
  3. 8 : 7
  4. 9 : 1
  5. 300
  6. 50
  7. 60
  8. 100
  9. 136
  10. 76
  11. 1 : 7
  12. 80
  13. 300
  14. 200
  15. 171
  16. 8 : 9
  17. 400
  18. 90
  19. 6 : 5
  20. 385
  21. 75
  22. 560
  23. 9 : 5
  24. 539
  25. 7 : 1
  26. 250
  27. 440
  28. 32
  29. 6
  30. 70
  31. 32
  32. 18
  33. 8 : 5
  34. 5 : 8
  35. 9 : 8
  36. Yes
  37. 54
  38. 120
  39. 90
  40. No

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