Where can I find resources to practice functions and other maths topics?

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For Year 10 students seeking to improve their understanding of functions and other math topics, several online resources are recommended. Websites like Math Forum and MathWorld offer a wide range of problems and topics suitable for various skill levels. Additionally, platforms such as Khan Academy and Mathisfun provide free practice problems specifically focused on functions. Books and workbooks can also be valuable resources, along with practicing problems from school textbooks. Consistent practice is essential for mastering these mathematical concepts.
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I'm in year 10 at the moment, but i was wondering where the best place to start was if i wanted to do some extra work on functions and other maths...

Thanks
 
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On the net, there are a several of places that immediately come to mind.
For specific questions that are too tough to handle, try right here on physicsforums. There are many useful websites suggested in the https://www.physicsforums.com/showthread.php?t=204 at the top of this homework topic.

I recommend two from that list which I have also found helpful.
To learn more about functions and maths, try Math Forum. You can find topics and problems for every level of primary school maths.

Another very handy place for mathematics is MathWorld. They cover a much broader array of topics. I recommend bookmarking this site as a reference for most topics of math you are likely to encounter.
 
for your question! If you're looking to do some extra work on functions and other maths, there are a few different options you could consider. Here are a few suggestions:

1. Online resources: There are many websites and online platforms that offer free resources and practice problems for various math topics, including functions. Some popular ones include Khan Academy, Mathisfun, and MathHelp. You could search for specific topics within functions, such as graphing, transformations, or composition, and find a variety of resources to help you practice and deepen your understanding.

2. Books and workbooks: You could also look for books or workbooks specifically focused on functions and other maths topics. These can be found at your local library or bookstore, or even online. Some popular options include "Functions and Graphs" by I.M. Gelfand and "Schaum's Outline of Precalculus" by Fred Safier.

3. Practice problems from your textbook: If you have a textbook for your math class, you could review and practice the functions sections and problems in there. This will also help you prepare for any upcoming tests or quizzes.

4. Seek help from a tutor or teacher: If you're struggling with understanding functions and other maths concepts, seeking help from a tutor or your math teacher could be beneficial. They can provide personalized instruction and guidance to help you improve your understanding and skills.

Whichever option you choose, the key is to practice consistently and regularly. Functions and other maths topics require practice and repetition to fully understand and master. Good luck with your extra work!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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