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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 280 · 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.

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  1. 1.If 2 notebooks cost ₹6, how many rupees do 3 notebooks cost?
  2. 2.Write the ratio 27 : 6 in its simplest form. (a) 10 : 3 (b) 27 : 6 (c) 9 : 2 (d) 2 : 9
  3. 3.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  4. 4.3 : 8 = ? : 48
  5. 5.Are 6, 8, 15 and 20 in proportion? (a) No (b) Yes
  6. 6.₹110 is shared between Aditya and Meera in the ratio 2 : 9. How many rupees does Meera get?
  7. 7.₹2800 is shared between Vivaan and Joseph in the ratio 5 : 9. How many rupees does Joseph get?
  8. 8.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  9. 9.4 : 9 = ? : 81
  10. 10.Write the ratio 12 : 30 in its simplest form. (a) 12 : 30 (b) 3 : 6 (c) 2 : 5 (d) 5 : 2
  11. 11.Are 4, 16, 2 and 8 in proportion? (a) Yes (b) No
  12. 12.A class has 12 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 27 (b) 5 : 10 (c) 9 : 4 (d) 4 : 9
  13. 13.₹650 is shared between Lakshmi and Dev in the ratio 1 : 4. How many rupees does Lakshmi get?
  14. 14.₹1650 is shared between Rahul and Karan in the ratio 2 : 9. How many rupees does Karan get?
  15. 15.If 8 notebooks cost ₹120, how many rupees do 12 notebooks cost?
  16. 16.If 8 bus tickets cost ₹304, how many rupees do 5 bus tickets cost?
  17. 17.Write the ratio 3 : 6 in its simplest form. (a) 3 : 6 (b) 1 : 2 (c) 2 : 1 (d) 2 : 3
  18. 18.If 2 bus tickets cost ₹68, how many rupees do 12 bus tickets cost?
  19. 19.A basket has 27 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 15 (b) 5 : 9 (c) 10 : 6 (d) 9 : 5
  20. 20.A library shelf has 18 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 48 (b) 8 : 3 (c) 3 : 8 (d) 4 : 9
  21. 21.6 : 7 = 54 : ?
  22. 22.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  23. 23.Write the ratio 10 : 35 in its simplest form. (a) 10 : 35 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
  24. 24.3 : 7 = ? : 28
  25. 25.₹140 is shared between Aditya and Lakshmi in the ratio 2 : 5. How many rupees does Lakshmi get?
  26. 26.₹420 is shared between Tara and Riya in the ratio 5 : 9. How many rupees does Tara get?
  27. 27.If 6 ice creams cost ₹162, how many rupees do 12 ice creams cost?
  28. 28.₹630 is shared between Karan and Rahul in the ratio 1 : 6. How many rupees does Karan get?
  29. 29.If 9 pens cost ₹540, how many rupees do 10 pens cost?
  30. 30.A class has 18 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 18 : 81 (c) 2 : 9 (d) 3 : 10
  31. 31.If 3 pens cost ₹96, how many rupees do 2 pens cost?
  32. 32.Write the ratio 16 : 8 in its simplest form. (a) 3 : 2 (b) 16 : 8 (c) 1 : 2 (d) 2 : 1
  33. 33.A library shelf has 48 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 6 (b) 48 : 30 (c) 8 : 5 (d) 5 : 8
  34. 34.If 4 pens cost ₹48, how many rupees do 12 pens cost?
  35. 35.Write the ratio 12 : 15 in its simplest form. (a) 12 : 15 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
  36. 36.Are 20, 28, 45 and 63 in proportion? (a) Yes (b) No
  37. 37.Are 4, 18, 18 and 81 in proportion? (a) No (b) Yes
  38. 38.If 3 notebooks cost ₹96, how many rupees do 7 notebooks cost?
  39. 39.Write the ratio 21 : 35 in its simplest form. (a) 3 : 5 (b) 4 : 6 (c) 21 : 35 (d) 5 : 3
  40. 40.Write the ratio 42 : 49 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 7 : 6 (d) 42 : 49

Answer key

  1. 9
  2. 9 : 2
  3. 75
  4. 18
  5. Yes
  6. 90
  7. 1800
  8. 140
  9. 36
  10. 2 : 5
  11. Yes
  12. 4 : 9
  13. 130
  14. 1350
  15. 180
  16. 190
  17. 1 : 2
  18. 408
  19. 9 : 5
  20. 3 : 8
  21. 63
  22. 260
  23. 2 : 7
  24. 12
  25. 100
  26. 150
  27. 324
  28. 90
  29. 600
  30. 2 : 9
  31. 64
  32. 2 : 1
  33. 8 : 5
  34. 144
  35. 4 : 5
  36. Yes
  37. Yes
  38. 224
  39. 3 : 5
  40. 6 : 7

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