Maths

Grade A skills are …


• Solving quadratics by factorising, formula or completing the square
• Solving equations using graphs
• Rationlising surds
• Finding upper and lower bounds
• Using fractional indices
• Rearranging formulae where the variable occurs twice
• Using algebraic fractions, e.g. + –
• Solving algebraic problems, e.g. explain why (n+1)(n+20) is an even number
• Spotting the difference of two squares
• Simplifying algebra involving powers
• Equations of perpendicular to a given line
• Knowing trig solutions, e.g. cosx = 0∙5
• Recognising the trig graphs
• Basic sine and cosine rule
• Calculating surface area or volume of various solids
• Arc length, sectors and segments
• Pythagoras in 3D situations
• Similar solids
• Proving two triangles are congruent
• Circle theorems
• Enlargement with a negative fractional scale factor
• Using ½absinC to find the area of a triangle
• Histograms
• Stratified sampling
• Probability using the OR rule

Grade A* skills are …

• Solving simultaneous equations – one linear and one quadratic
• Equation of a circle and finding points of intersection with a line
• Knowing graphs of exponential and more complex functions
• Rearranging complex equations
• Transforming graphical functions, e.g. y = f(x+a); y = f(ax)
• Using the sine and cosine rule
• Mensuration in 3D solids and 2D shapes
• Proofs of circle theorems
• Proofs of construction theorems
• Calculating bounds in area and volume questions
• Manipulating complex indices, including surds

• Transforming graphs of trigonometrical functions

• Solving 3D trigonometry problems
• Manipulating algebraic fractions


Videos of 100 Hard A* Questions (and solutions)

http://www.m4ths.com/100-hard-a-gcse-questions.html


Videos of A* topics

http://www.symbaloo.com/mix/gcsemathsgradeastar




Videos of A topics

http://www.symbaloo.com/mix/gcsemathsgradea


Link to a 'walkthrough' mock here:

http://www.walkdenhighmaths.co.uk/revision.html