← 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 142 · 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.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  2. 2.Are 4, 10, 10 and 25 in proportion? (a) Yes (b) No
  3. 3.Are 6, 14, 12 and 28 in proportion? (a) Yes (b) No
  4. 4.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  5. 5.7 : 8 = 70 : ?
  6. 6.Are 24, 42, 36 and 66 in proportion? (a) No (b) Yes
  7. 7.1 : 8 = ? : 40
  8. 8.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  9. 9.Write the ratio 40 : 24 in its simplest form. (a) 3 : 5 (b) 6 : 4 (c) 40 : 24 (d) 5 : 3
  10. 10.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) 1 : 7 (b) 7 : 1 (c) 8 : 2 (d) 49 : 7
  11. 11.Are 5, 20, 2 and 8 in proportion? (a) Yes (b) No
  12. 12.A scooter goes 375 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  13. 13.6 : 7 = 60 : ?
  14. 14.₹1430 is shared between Karan and Arjun in the ratio 2 : 9. How many rupees does Karan get?
  15. 15.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  16. 16.Write the ratio 6 : 8 in its simplest form. (a) 6 : 8 (b) 4 : 5 (c) 3 : 4 (d) 4 : 3
  17. 17.Are 5, 40, 4 and 35 in proportion? (a) No (b) Yes
  18. 18.A garden has 64 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 8 (b) 9 : 4 (c) 64 : 24 (d) 8 : 3
  19. 19.₹1210 is shared between Kabir and Lakshmi in the ratio 5 : 6. How many rupees does Kabir get?
  20. 20.2 : 3 = ? : 15
  21. 21.If 8 bus tickets cost ₹344, how many rupees do 10 bus tickets cost?
  22. 22.Write the ratio 30 : 35 in its simplest form. (a) 7 : 8 (b) 7 : 6 (c) 6 : 7 (d) 30 : 35
  23. 23.1 : 9 = ? : 72
  24. 24.Write the ratio 16 : 2 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 9 : 2 (d) 16 : 2
  25. 25.3 : 7 = ? : 42
  26. 26.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  27. 27.Write the ratio 12 : 14 in its simplest form. (a) 7 : 6 (b) 7 : 8 (c) 6 : 7 (d) 12 : 14
  28. 28.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  29. 29.Are 2, 6, 7 and 21 in proportion? (a) No (b) Yes
  30. 30.If 3 bus tickets cost ₹24, how many rupees do 8 bus tickets cost?
  31. 31.Are 6, 10, 12 and 21 in proportion? (a) No (b) Yes
  32. 32.If 6 ice creams cost ₹48, how many rupees do 8 ice creams cost?
  33. 33.3 : 4 = 9 : ?
  34. 34.If 9 mangoes cost ₹54, how many rupees do 6 mangoes cost?
  35. 35.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  36. 36.Write the ratio 36 : 16 in its simplest form. (a) 36 : 16 (b) 4 : 9 (c) 10 : 5 (d) 9 : 4
  37. 37.3 : 5 = ? : 20
  38. 38.3 : 8 = ? : 72
  39. 39.Write the ratio 9 : 21 in its simplest form. (a) 9 : 21 (b) 4 : 8 (c) 3 : 7 (d) 7 : 3
  40. 40.₹2210 is shared between Diya and Rahul in the ratio 6 : 7. How many rupees does Diya get?

Answer key

  1. 45
  2. Yes
  3. Yes
  4. 160
  5. 80
  6. No
  7. 5
  8. 450
  9. 5 : 3
  10. 7 : 1
  11. Yes
  12. 300
  13. 70
  14. 260
  15. 60
  16. 3 : 4
  17. No
  18. 8 : 3
  19. 550
  20. 10
  21. 430
  22. 6 : 7
  23. 8
  24. 8 : 1
  25. 18
  26. 80
  27. 6 : 7
  28. 35
  29. Yes
  30. 64
  31. No
  32. 64
  33. 12
  34. 36
  35. 280
  36. 9 : 4
  37. 12
  38. 27
  39. 3 : 7
  40. 1020

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