← Ratio, proportion and the unitary method lesson New set →

Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 217 · 40 sums
TalentJR

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.If 3 ice creams cost ₹99, how many rupees do 8 ice creams cost?
  2. 2.A garden has 49 rose plants and 7 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 49 : 7 (b) 1 : 7 (c) 8 : 2 (d) 7 : 1
  3. 3.If 8 notebooks cost ₹224, how many rupees do 11 notebooks cost?
  4. 4.Are 6, 21, 8 and 28 in proportion? (a) No (b) Yes
  5. 5.A class has 24 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 24 : 42 (b) 7 : 4 (c) 4 : 7 (d) 5 : 8
  6. 6.A garden has 9 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 1 (b) 9 : 27 (c) 1 : 3 (d) 2 : 4
  7. 7.A class has 10 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 9 (b) 8 : 5 (c) 5 : 8 (d) 10 : 16
  8. 8.3 : 8 = 18 : ?
  9. 9.A garden has 6 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 6 (b) 6 : 36 (c) 2 : 7 (d) 6 : 1
  10. 10.₹220 is shared between Gurpreet and Joseph in the ratio 5 : 6. How many rupees does Joseph get?
  11. 11.Write the ratio 10 : 18 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 6 : 10 (d) 10 : 18
  12. 12.Are 15, 18, 30 and 36 in proportion? (a) No (b) Yes
  13. 13.₹170 is shared between Farhan and Nisha in the ratio 8 : 9. How many rupees does Nisha get?
  14. 14.₹1140 is shared between Tara and Diya in the ratio 1 : 5. How many rupees does Tara get?
  15. 15.A class has 7 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 7 : 21 (c) 2 : 4 (d) 1 : 3
  16. 16.1 : 9 = 4 : ?
  17. 17.5 : 7 = ? : 28
  18. 18.A library shelf has 32 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 1 (b) 32 : 4 (c) 9 : 2 (d) 1 : 8
  19. 19.Write the ratio 14 : 49 in its simplest form. (a) 2 : 7 (b) 14 : 49 (c) 3 : 8 (d) 7 : 2
  20. 20.If 2 notebooks cost ₹26, how many rupees do 11 notebooks cost?
  21. 21.Write the ratio 4 : 16 in its simplest form. (a) 2 : 5 (b) 4 : 16 (c) 1 : 4 (d) 4 : 1
  22. 22.₹1500 is shared between Sneha and Diya in the ratio 1 : 9. How many rupees does Diya get?
  23. 23.A box has 12 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 12 : 14 (b) 7 : 6 (c) 7 : 8 (d) 6 : 7
  24. 24.If 3 pens cost ₹21, how many rupees do 4 pens cost?
  25. 25.Write the ratio 28 : 24 in its simplest form. (a) 28 : 24 (b) 8 : 7 (c) 7 : 6 (d) 6 : 7
  26. 26.₹770 is shared between Vivaan and Arjun in the ratio 2 : 9. How many rupees does Vivaan get?
  27. 27.Are 2, 18, 3 and 30 in proportion? (a) No (b) Yes
  28. 28.2 : 5 = ? : 40
  29. 29.A garden has 25 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 3 (b) 6 : 4 (c) 25 : 15 (d) 3 : 5
  30. 30.If 7 mangoes cost ₹392, how many rupees do 12 mangoes cost?
  31. 31.7 : 8 = ? : 24
  32. 32.A basket has 32 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 32 : 40 (d) 5 : 6
  33. 33.A box has 5 red pens and 35 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 35 (b) 1 : 7 (c) 2 : 8 (d) 7 : 1
  34. 34.₹900 is shared between Dev and Isha in the ratio 1 : 8. How many rupees does Dev get?
  35. 35.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  36. 36.A garden has 6 rose plants and 9 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 6 : 9
  37. 37.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  38. 38.If 3 mangoes cost ₹45, how many rupees do 4 mangoes cost?
  39. 39.Write the ratio 8 : 4 in its simplest form. (a) 8 : 4 (b) 1 : 2 (c) 2 : 1 (d) 3 : 2
  40. 40.Are 8, 14, 20 and 35 in proportion? (a) No (b) Yes

Answer key

  1. 264
  2. 7 : 1
  3. 308
  4. Yes
  5. 4 : 7
  6. 1 : 3
  7. 5 : 8
  8. 48
  9. 1 : 6
  10. 120
  11. 5 : 9
  12. Yes
  13. 90
  14. 190
  15. 1 : 3
  16. 36
  17. 20
  18. 8 : 1
  19. 2 : 7
  20. 143
  21. 1 : 4
  22. 1350
  23. 6 : 7
  24. 28
  25. 7 : 6
  26. 140
  27. No
  28. 16
  29. 5 : 3
  30. 672
  31. 21
  32. 4 : 5
  33. 1 : 7
  34. 100
  35. 300
  36. 2 : 3
  37. 225
  38. 60
  39. 2 : 1
  40. Yes

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets