18 Questions
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Can problems under 'direct variation' be solved using the unitary method? Explain.
Yes, problems under direct variation can be solved using the unitary method.
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.
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.
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.
Explore the concepts of direct and inverse proportions in geometry by comparing the relationship between the length of a side, perimeter, and area of a square. Apply the concept of proportion to estimate changes in ingredient quantities for cooking halwa for different numbers of persons.
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