We have below bronze, silver and gold tutorials for Working with Surds 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?

These are the skills that you should already have mastered with BEFORE you begin studying this National 5 module. Do you remember them? If you are unsure, watch the videos and try some questions, it will make learning this new topic so much easier!

• Evaluating Powers (MTH 306a)    Bronze    Silver    Gold
• Calculating Roots (MTH 306a)     Bronze    Silver    Gold

This bronze module provides an introduction to simplifying surds and rationalising the denominator. You will need to learn the sequence of perfect square numbers as quickly as possible. Previous knowledge of squares and square roots from 3rd Level Maths is essential here.

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!

This silver module builds on the skills learned at bronze level by introducing the standard "exam type" simplifying surds question and introduces simplifying to the rationalising the denominator outcome. In order to be successful at silver level you should have mastered the skills at bronze level first.

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 builds on these skills by introducing multiplying surds and expanding brackets with surds. Outcome 2 is particularly challenging with the introduction of the complex conjugate! Though this second skill is technically not in the exam syllabus it introduces you to a vital skill for the next stage in your development.

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!