Properties of 2D Shapes and 3D Objects
MTH 4-16a
To run the tutorials simply click on the video you wish to play remembering to pause the video when attempting the questions! You should work through the exercises and homework in a squared jotter to keep all your work together. You should mark every section as soon as you finish it and write down your score.
For certain areas you will need a scientific calculator like the casio fx-85GT PLUS.
Once you have practiced the skills, be sure to see if you can apply them in the exam questions at the bottom of the page. These questions should be revisited every so often as it is important to revise previous work so you don't forget it. Good luck! :)
Skills developed in this module;
- Pythagoras' Theorem
- Right-angled trigonometry
Bronze Level
This module develops your skills at Pythagoras' Theorem and Right-Angled Trigonometry. At bronze level we learn how to calculate the longest in a right-angled triangle using Pythagoras' Theorem and we learn how to find a side using trigonometry.
Video 132: Outcome 1 - Pythagoras' Theorem. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 133: Outcome 2 - Right angled trigonometry. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Next steps...
Here is a bronze worksheet to download if you want more practice at these important skills. To view the answers click here.
Adobe Acrobat document [855.0 KB]
If you've learned the skills try this bronze assessment under exam conditions! Click here for the answers.
Adobe Acrobat document [846.9 KB]
Silver Level
At silver level, we learn how to use Pythagoras' Theorem to find a shorter side and how to calculate the size of an angle using trigonometry.
Video 134: Outcome 1 - Pythagoras' Theorem. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 135: Outcome 2 - Right angled trigonometry. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Next steps...
Here is a silver worksheet with additional questions to try. Check your answers here.
Adobe Acrobat document [854.9 KB]
If you've mastered silver try this assessment under exam conditions. To view the asnwers click here.
Adobe Acrobat document [847.1 KB]
Gold Level
At gold level, we consider how Pythagoras will help us in triangles that are not right-angled and we solve trigonometry problems for the dreaded scenario when 'x' is on the bottom!!!
Video 136: Outcome 1 - Pythagoras in isosceles triangles. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 137: Outcome 2 - Right angled trigonometry. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Next steps...
Here is gold worksheet for some consolidation. Click here to check your answers.
Adobe Acrobat document [865.6 KB]
If you're ready, have somone at home give you this assessment under exam conditions. Check your answers here.
Adobe Acrobat document [852.7 KB]
SQA Pastpaper Questions with video solutions
Once you have mastered the skills, why not try these past exam 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. As a rough guide;
Intermediate 1/General = CfE 4th Level/National 4 Maths
Standard Grade General Level SQA Pastpaper Questions...
- 2013 Paper 2 Question 5
- 2012 Paper 2 Question 7
- 2011 Paper 2 Question 12
- 2010 Paper 2 Question 12
- 2009 Paper 2 Question 8
- 2008 Paper 2 Question 5
- 2007 Paper 2 Question 4
- 2006 Paper 2 Question 8
Intermediate 1 SQA Pastpaper Questions...
- 2015 Paper 2 Question 12
- 2014 Paper 2 Question 10
- 2014 Paper 2 Question 12
- 2013 Paper 2 Question 9
- 2013 Paper 2 Question 12
- 2012 Paper 2 Question 8
- 2012 Paper 2 Question 14
- 2011 Paper 2 Question 9
- 2011 Paper 2 Question 12
- 2010 Paper 2 Question 7
- 2010 Paper 2 Question 13
- 2009 Paper 2 Question 10
- 2009 Paper 2 Question 12
- 2008 Paper 2 Question 7
- 2008 Paper 2 Question 11
- 2007 Paper 2 Question 9
- 2007 Paper 2 Question 11
- 2006 Paper 2 Question 9
- 2006 Paper 2 Question 12
- 2005 Paper 2 Question 13
- 2005 Paper 2 Question 10
- 2004 Paper 2 Question 10
- 2003 Paper 2 Question 11
- 2002 Paper 2 Question 11
- 2001 Paper 2 Question 12
- 2000 Paper 2 Question 10
Or alternatively click here to view the pastpaper playlist - remember to hit the shuffle button!
Congratulations!
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!
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