Direct and Inverse Proportions in Geometry and Cooking

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Give an example of direct proportion mentioned in the text other than petrol consumption and distance travelled.

Total amount spent and number of articles purchased

What are some other examples of direct proportion that you can think of?

Answers may vary, but could include: time spent studying and exam scores, speed and distance traveled, etc.

In the clock activity mentioned in the text, what is the relationship between the angle turned by the minute hand and the time that has passed?

Direct proportion

How can you show that the angle turned by the minute hand and the time passed are directly proportional in the clock activity?

By comparing the ratios of time to angle for different time intervals Signup and view all the answers

Can you think of another real-life example that demonstrates direct proportionality similar to the clock activity?

Answers may vary, but could include: temperature and cooking time, speed of a vehicle and distance traveled, etc. Signup and view all the answers

Explain why understanding direct proportion is important in everyday life.

Understanding direct proportion helps in making decisions based on proportional relationships, such as in scaling recipes or calculating distances. Signup and view all the answers

Give an example of a situation where the quantity of articles purchased increases, leading to an increase in the total cost.

Buying more clothes at a store results in a higher total bill. Signup and view all the answers

Explain a scenario where more money deposited in a bank results in higher interest earned.

Depositing a larger sum in a savings account yields more interest over time. Signup and view all the answers

Describe a situation where an increase in the speed of a vehicle leads to a decrease in the time taken to cover the same distance.

Driving faster reduces the time needed to reach a destination. Signup and view all the answers

Provide an example where having more workers for a given job reduces the time taken to complete the work.

Having additional staff members speeds up the completion of tasks. Signup and view all the answers

Give a scenario where the cost of 1 kg of sugar is known to be ` 36, and calculate the cost of 3 kg of sugar.

Cost of 3 kg of sugar would be ` 108. Signup and view all the answers

How can one determine the quantity of each item needed by Mohan to make tea for five persons?

To calculate the quantity for five persons, multiply the amounts by five. Signup and view all the answers

Explain direct proportion in the context of the length of a side and the perimeter of a square.

In direct proportion, as the length of a side of a square increases, the perimeter also increases proportionally. Signup and view all the answers

Using the concept of proportion, estimate the changes in ingredient quantities to make halwa for your entire class.

To make halwa for a larger class, you would proportionally increase the quantities of suji/rawa, sugar, ghee, and water. Signup and view all the answers

Can problems under 'direct variation' be solved using the unitary method? Explain.

Yes, problems under direct variation can be solved using the unitary method. Signup and view all the answers

Describe inverse proportion with an example from the text.

Inverse proportion occurs when one quantity increases while the other decreases. For example, as speed increases, the time taken to cover a distance decreases. Signup and view all the answers

How does the time taken to cover a distance change with increasing speed, according to the example in the text?

As speed increases, the time taken to cover a given distance decreases. Signup and view all the answers

Explain the relationship between Zaheeda's speed and the time taken to go to school using the four different modes of transport.

As Zaheeda's speed increases, the time taken to go to school using different modes of transport decreases. Signup and view all the answers

Direct and Inverse Proportions in Geometry and Cooking

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Questions and Answers

Give an example of direct proportion mentioned in the text other than petrol consumption and distance travelled.

What are some other examples of direct proportion that you can think of?

In the clock activity mentioned in the text, what is the relationship between the angle turned by the minute hand and the time that has passed?

How can you show that the angle turned by the minute hand and the time passed are directly proportional in the clock activity?

Can you think of another real-life example that demonstrates direct proportionality similar to the clock activity?

Explain why understanding direct proportion is important in everyday life.

Give an example of a situation where the quantity of articles purchased increases, leading to an increase in the total cost.

Explain a scenario where more money deposited in a bank results in higher interest earned.

Describe a situation where an increase in the speed of a vehicle leads to a decrease in the time taken to cover the same distance.

Provide an example where having more workers for a given job reduces the time taken to complete the work.

Give a scenario where the cost of 1 kg of sugar is known to be ` 36, and calculate the cost of 3 kg of sugar.

How can one determine the quantity of each item needed by Mohan to make tea for five persons?

Explain direct proportion in the context of the length of a side and the perimeter of a square.

Using the concept of proportion, estimate the changes in ingredient quantities to make halwa for your entire class.

Can problems under 'direct variation' be solved using the unitary method? Explain.

Describe inverse proportion with an example from the text.

How does the time taken to cover a distance change with increasing speed, according to the example in the text?

Explain the relationship between Zaheeda's speed and the time taken to go to school using the four different modes of transport.

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