We have below bronze, silver and gold tutorials for Arc Lengths and Sector Areas in the Expressions & Formulae unit of National 5 Mathematics. Bronze tutorials are typically unit assessment standard with the silver tutorials providing typical "exam type" questions as examples. If you can manage these you should try our more advanced gold tutorials containing the more unpleasant "exam type" questions. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Once you've mastered the skills, why not try the Pastpaper questions at the bottom of the page?

Before you start this module you should be familiar with the formulae for the circumference and area of a circle from 4th Level Maths. This bronze module introduces you to the formulae for arc length and sector area.

VIDEO 52: Outcome 1 - Calculating the length of an arc of a circle. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz, record the score in your profile and move onto silver level!

For silver, you will have to know the relationship between the radius and the diameter, ensuring you use the correct variables in your formula!

VIDEO 54: Outcome 1 - Calculating the length of an arc of a circle. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz, record the score in your profile, go for gold and/or try the past paper questions!

Our gold module develops your "working backwards" skills to enable you to calculate a diameter, radius or centre angle when given the arc length or sector area. This is typically an a/b skill...good luck!

VIDEO 56: Outcome 1 - Calculating the diameter/angle when given the arc length. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz; record the score in your profile and try the past paper questions!

Once you have mastered the skills, why not try the pastpaper questions? Click on each question to play the video. Pause it when prompted to do so and have a go yourself first. When you've finished check the solution. You should aim to complete these questions more than once at various stages throughout the year. If you feel that you need more practice at that particular question go to the practice area suggested in the video...good luck!

You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!