1. Standard Grade Prelim Revision The topics we will be revising are: 1. Wednesday 17 th November – Pythagoras 2. Monday 22 nd November – Statistics 3. Tuesday 23 rd November – Volume 4. Wednesday 24 th November – Area 5. Thursday 25 th November – Time / Distance / Speed 6. Monday 29 th November – Linear Equations (Finding a Rule) 7. Tuesday 30 th November – Probability 8. Wednesday 1 st December – Calculating % (Non-Calculator) 9. Thursday 2 nd December - Fractions NOTE: We will try and stick to this schedule as far as we can. Supported Study can and should be used for any other revising MONDAY – THURSDAY 3:30PM – 4:45 PM

2. Standard Grade Prelim Revision Pythagoras’ Theorem Pythagoras’ Theorem can ONLY be used on Right Angled Triangles

3. Standard Grade Prelim Revision Pythagoras’ Theorem The name given to the longest side on a Right Angled Triangle, and the side opposite the right angle is called? The Hypotenuse

4. Standard Grade Prelim Revision Pythagoras’ Theorem Pythagoras’ Theorem allows us to calculate a missing length of a right angled triangle when we know 2 of its lengths. a b c The formula is a² + b² = c²

5. Standard Grade Prelim Revision Pythagoras’ Theorem Example : Calculate the length of the hypotenuse on each of the 3 right angled triangles below. 4cm 5cm 11cm 8cm 2.5cm 3.7cm

6. Standard Grade Prelim Revision Pythagoras’ Theorem Is this triangle right angled? Explain with working 30cm 12cm 24cm

7. Standard Grade Prelim Revision Pythagoras’ Theorem Pythagoras’ theorem can also be used to calculate one of the smaller sides of a right angled triangle.. a b c If a² + b² = c² Then by using balance method a² = c² - b² or b² = c² - a²

8. Standard Grade Prelim Revision Pythagoras’ Theorem Calculate the lengths of the missing sides of these right angled triangles 15cm 8cm 24cm 4cm 11cm 9cm

9. Standard Grade Prelim Revision Pythagoras’ Theorem A rectangular picture measuring 540mm by 200mm is placed diagonally in a cuboid shaped box as shown The box has 530mm by 200mm, Calculate the height of the box.

10. Standard Grade Prelim Revision Pythagoras’ Theorem What to remember : 1. Pythagoras can only be used on Right Angled Triangles. 2. If you are given a question with 2 given lengths and a right angled triangle is involved, Pythagoras will be required. 3. When calculating a smaller side of a right angled triangle, always take the other smaller side away from the hypotenuse