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| Question | Answer |
| Bearings Keywords | From: Put your pencil on the point you are going from Northline: Draw a line going north from the point you are going from Clockwise: Go clockwise from the northline |
| Example of Bearings: | Find the bearing of A from B: 1) 'From' B 2) Draw a northline @ point B 3) Go clockwise from the N line. This angle is the bearingof A from B. (56) |
| Factorising | This is the exact opposite of multiplying out of brackets. this is the method: !) Take out the biggest number that goes into all the terms 2) For each letter in turn, take out the highest power (e.g. x, x(squared) etc) that will go into every term 3) Open the brackets and fill in all the bits needed to reproduce each term. 4) check your answer by using F.O.I.L (first, outside, inside, last) |
| Example of factorising: | factorise 3x^2 + 6x. 1) the biggest number that divides into 3 and 6 is 3. 2) The highest power that will go into x^2 and x is x 3) 3x(x+2) 4) 3x * x= 3x^2 3x * 2= 6x |
| Difference between two squares | The rule for this is: a^2 - b^2 = (a+b) (a-b) |
| Examples for difference between two squares | Factorise: a) x^2 - 1 = (x + 1) (x -1) b) 9q^2 - 16q^2 = (3q + 4q) (3q - 4q) c) 3x^2 - 75y^2 = 3(x^2 - 25y^2) = 3(x + 5y) (x - 5y) |
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