Worksheet 1

Ratio and Proportion

Total Marks: 100
Time Allowed: 2 Hours

Part A: Understanding Ratios (20 Marks)

1. Write the ratio of the following in the simplest form: (4 Marks)

          a. 12 apples to 16 oranges
          b. 45 boys to 60 girls
          c. 500 ml milk to 2 liters of water

1. If the ratio of blue marbles to red marbles in a box is 4:3, and there are 28 blue marbles, how many red marbles are there? (4 Marks)

2. The ratio of the length to the width of a rectangle is 5:2. If the length is 25 cm, find the width. (4 Marks)

3. Divide Rs. 1200 among A and B in the ratio 3:5. (4 Marks)

Part B: Equivalent Ratios (20 Marks)

5. Find two equivalent ratios of the following: (6 Marks)

          a. 2:3
          b. 7:5
          c. 6:9

5. Complete the table by filling the missing values so the ratios are equivalent: (8 Marks)

Part C: Proportion (20 Marks)

7. Are the following in proportion? (Answer “Yes” or “No”) (6 Marks)

           a. 4, 6, 8, 12
           b. 15, 45, 20, 60
           c. 5, 10, 12, 24

7. If 10 kg of rice costs Rs. 400, find the cost of 6 kg of rice. (4 Marks)

8. A car travels 180 km in 3 hours. If the speed remains constant, how far will it travel in 5 hours? (4 Marks)

9. The cost of 8 pens is Rs. 96. Find the cost of 15 pens. (6 Marks)

Part D: Word Problems (20 Marks)

11. In a school, the ratio of boys to girls is 7:9. If there are 189 girls, how many boys are there? (4 Marks)

12. A recipe requires ingredients in the ratio 4:3:2 (flour, sugar, butter). If 800 grams of flour is used, how much sugar and butter are needed? (4 Marks)

13. The ratio of the ages of two siblings is 5:7. If the elder sibling is 21 years old, what is the age of the younger sibling? (4 Marks)

14. A sum of Rs. 1500 is to be divided among three friends in the ratio 2:3:5. How much does each friend get? (4 Marks)

15. A map shows the distance between two cities as 4 cm, and the scale is 1 cm = 50 km. Find the actual distance between the two cities. (4 Marks)

Part E: Challenge Questions (20 Marks)

16. The sides of a triangle are in the ratio 3:4:5, and the perimeter of the triangle is 36 cm. Find the length of each side. (5 Marks)

17. Two numbers are in the ratio 7:11. If their sum is 72, find the numbers. (5 Marks)

18. If a 120 cm long ribbon is cut into pieces in the ratio 2:3:5, what is the length of each piece? (5 Marks)

19. A team of workers is paid Rs. 15,000 in total. The payment is divided among three workers in the ratio 4:5:6. How much does each worker get? (5 Marks)

20. A and B share profits in the ratio 5:3. If the total profit is Rs. 48,000, find A’s and B’s share. (5 Marks)