Direct and Inverse Proportions Worksheet
Problem 1: A car consumes 5 liters of fuel for every 100 kilometers it travels. How much fuel will it need to travel 450 kilometers?
Problem 2: If 9 workers can build a wall in 15 days, how many days would it take 5 workers to build the same wall, assuming they work at the same rate?
Problem 3: A recipe for cookies requires 250 grams of flour to make 20 cookies. How much flour is needed to make 80 cookies?
Problem 4: If it takes 6 hours for 4 machines to complete a task, how long will it take 10 machines to complete the same task, assuming all machines work at the same efficiency?
Problem 5: A school planned a field trip that requires $600 for transportation. This cost is evenly split among the students attending. If 20 students initially plan to go, how much does each student pay if 5 more students join?
Problem 6: A pump can fill a tank in 3 hours. How long would it take for two identical pumps working together to fill the same tank?
Direct and Inverse Proportions
Direct and Inverse Proportions is a mathematical concept which help us understanding how quantities are dependent on each other. Let’s say if you drive faster you will reach your destination in less time, similarly if a laborer works for more hours he will earn more.
Here we see that speed and time are in opposite relation and hence are in inverse proportion while wage and working hours are in direct proportion. Direct and Inverse Proportion is a very important topic for class 8 to understand ratios and proportions.
Let’s understand in detail about Direct and Inverse Proportions definition, formula and properties.
Table of Content
- Direct and Inverse Proportions
- Direct and Inverse Proportions Definition
- Direct Proportion
- Direct Proportion Formula
- Examples of Direct Proportion
- Solved Examples on Direct Proportion
- Inverse Proportion
- Inverse Proportion Formula
- Examples of Inverse Proportion
- Difference between Direct and Inverse Proportions
- Solved Problems on Inverse Proportions
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