Ratio and Proportion Class 7

 

Ratio and Proportion Worksheet for Class 7

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A. Simplify the Ratios

1. Simplify the ratio 24:36.
2. Simplify the ratio 18:27:45.
3. Find the simplified form of 56:64.
4. A recipe requires 3 cups of flour and 4 cups of sugar. What is the ratio of flour to sugar?
5. A car travels 180 km using 15 litres of fuel. What is the ratio of distance to fuel used?

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B. Solve the Word Problems

1. The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many boys are there?
2. A bag contains 15 red marbles and 25 blue marbles. What is the ratio of:
   a) Red marbles to blue marbles?
   b) Blue marbles to total marbles?
3. Divide ₹840 between A and B in the ratio 5:7.
4. A rope is cut into three pieces in the ratio 2:3:5. If the total length of the rope is 50 meters, find the length of each piece.
5. The scale on a map is 1:5000. If the distance between two cities on the map is 8 cm, what is the actual distance in kilometres?

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C. Determine if the Proportions are Equal

1. Are 4:6 and 6:9 in proportion?
2. Check if the ratios 15:45 and 9:27 form a proportion.
3. Determine if 8:12 and 10:15 are in proportion.

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D. Fill in the Missing Value

1. If 3:4 = 9:x, find the value of x.
2. Complete the proportion: 7:x = 14:20.
3. Find the missing number: 5:25 = x:125.
4. In a recipe, the ratio of water to milk is 2:3. If there are 12 cups of water, how much milk is needed?
5. A rectangle has a length and breadth in the ratio 4:5. If the perimeter of the rectangle is 90 cm, find the dimensions.