# NSW Y12 Calculus

## Calculus – Check Your Knowledge Now!

Want to test your knowledge on Calculus? Download the Free Diagnostic Quiz Now.

• #### Calculus - Diagnostic Quiz 1

*If you want to complete the quiz online, create a free account and complete online for instant results.

Check your answers for free online after you have completed the quiz. Use the QR or test code that is at the top of the diagnostic quiz.

## Calculus Subtopics

Click the boxes below to navigate between subtopics
• Integration by Substitution
Resources
• Video Tutorials
• Revision Quizzes
• Extended Response
• Past Papers
• Trig Integration
Resources
• Video Tutorials
• Revision Quizzes
• Extended Response
• Past Papers
• Derivative of Inverse Functions
Resources
• Video Tutorials
• Revision Quizzes
• Extended Response
• Past Papers
• Integrations that give Inverse Trig Functions
Resources
• Video Tutorials
• Revision Quizzes
• Extended Response
• Past Papers
• Volumes of Solids of Revolution
Resources
• Video Tutorials
• Revision Quizzes
• Extended Response
• Past Papers

ME-C2 Further Calculus Skills
ME-C3 Applications of Calculus

The topic Calculus involves the study of how things change and provides a framework for developing quantitative models of change and deducing their consequences. It involves the development of analytic and numeric integration techniques and the use of these techniques in solving problems.

The study of calculus is important in developing students’ knowledge, understanding and capacity to operate with and model situations involving change, and to use algebraic and graphical techniques to describe and solve problems and to predict future outcomes with relevance to, for example science, engineering, finance, economics and the construction industry.

## Calculus – Check Your Knowledge Now!

Want to test your knowledge on Calculus? Download the Free Diagnostic Quiz Now.

• #### Calculus - Diagnostic Quiz 1

*If you want to complete the quiz online, create a free account and complete online for instant results.

Check your answers for free online after you have completed the quiz. Use the QR or test code that is at the top of the diagnostic quiz.

The diagnostic quiz for Calculus has been designed for a quick little revision quiz for the whole Calculus topic. Each sub topic of Calculus will be covered in the diagnostic quiz.

### How to test yourself

1. Download Quiz The best practice is to use a pen and paper. Use the Download Quiz button to print out the quiz and print it out. There will be plenty of room for working so complete the questions on the paper. This is how the school will give it to you so practice this was as well. You will need to submit your responses online after the quiz is finished but we highly recommend practicing by downloading the quiz.
2. Complete online If you want to work through the diagnostic quiz "live", click the complete online button. This will give you the questions on the computer screen and you can work through the problem on a sheet of paper. Instantly, you can view the answer and submit your answers.

In both testing cases, you will need to submit your answers online for diagnostics. While both options are available, we recommend you put yourself in the "testing environment" by printing out the quiz.

### Why do a Diagnostic Quiz?

1. Test Understanding - If you have completed the entire topic at school, run through the diagnostic to make sure that you have not forgotton anything
2. Revision / Test Preparation - The best way to identify which areas to focus on for an upcoming test or school quiz. If you are struggling in a particular subtopic in Calculus, the diagnostic quiz will pick this up. This means that you can then go back to the topic quizzes and do additional practice in the right area.

## Revision Quizzes

These revision quizzes on go through questions in Calculus.

• #### Volumes of Solids of Revolution - Revision Quiz 1

*If you want to complete the quiz online, create a free account and complete online for instant results.

Check your answers for free online after you have completed the quiz. Use the QR or test code that is at the top of the topic quiz.

The following topic quizzes are part of the Calculus topic. Each topic quiz contains 4-6 questions.

### How to use:

1. Learn to start the questions - if you have absolutely no idea where to start or are stuck on certain questions, use the fully worked solutions
2. Additional Practice - test your knowledge and run through these topic quizzes to confirm learning and understanding
3. Revision - If you have an upcoming quiz or test at school, quickly run through the topic quizzes as a quick revision