Topic List For paper 3 (Higher Tier)

Here are the topics that you should review before paper 3, if you click on a link it will take you to worksheets on that topic

 PRIORITY TOPICS

  Iteration
 Linear inequalities on a graph
 Histograms
 Reverse percentages
 Growth and decay - including simple/compound interest 
 Bearings
 Angles and parallel lines
 Polygons
 Circle theorems
 Vectors
 Completing the square (and using this form to find turning points and solve equations) 
 Algebraic fractions
 Speed/time graphs (including finding acceleration and distance from the graph)
 Expanding three brackets 

NUMBER 

 HCF/LCM
 Counting combinations

ALGEBRA AND GRAPHS


 Linear simultaneous equations 
 Solving simultaneous equations graphically
 Factorising harder quadratics 
 The quadratic formula 
 Changing the subject of a formula 
 Proof
 Quadratic and cubic graphs
 Reciprocal graphs
 Rates of change / estimating gradients 
 Estimating areas under curved graphs 
 Solving quadratic inequalities 
 Quadratic sequences
 Recurrance relations
 Geometric progressions / exponential growth and decay 

GEOMETRY 

 Congruence
 Similar shapes : length
 3D trigonometry
 Successive transformations and invariance
 Proofs of circle theorems
 Plans and elevations 


STATISTICS AND PROBABILITY 
 Sampling
 Scatter diagrams and correlation
 Conditional/”Given that” probability
 Frequency trees

Comments

Post a Comment

Popular posts from this blog

Year 10 Assessments Topic Lists (Higher Tier)

The below list contains the topics that are more likely to come up in each paper for the end of year 10 assessments (Higher Tier).  Please visit mathsgenie.co.uk for worksheets on each of these topics. PAPER 1 Indices Congruence Geeometric sequence Algebraic Ratio Product of Prime Factors Mean and Range Fraction of an amount Algebraic Conversion Mass, Density, Volume Speed, Distance, Time Simultaneous Linear Equations Percentages and Total Charge Area of Circle in Square Standard Form Inequalities Recurring Decials Tree Diagram Probability from Tree Diagram Gradient between two points Point on a line verification Best Buys Cumulative Frequency Estimation from CF graphs Diameter from equation of a circle Describe a transformation Combination of transformations Similar Triangles
Read more

Revision Paper 2

Initial List of topics that have not yet come up. Please return to this post later for additional resources on the below: Two way tables Frequency Trees Product of prime factors Inequalities Error intervals  rounding Interest Growth Depreciation  Decay Reverse Percentages Fractions ProportionRecipes Index Laws Expand and factorising Exchange rates Best value Pythagoras Time Series Straight line  Quadratic  Cubic graphs Coordinate geometry Real life graphs Trigonometry Bearings Angle facts intext angles Pie charts Probability from a table Averages from grouped data Plans and elevations Constructions Scatter graphs Surface area Similarity  Foundation only Four transformations ,,,, Vectors Estimation Forming and solving equations More ratio i.e. ratio as fractions Speed  Distance Time Compound Measures Use of calculator Simultaneous equations Venn diagrams In addition to the above ... HIGHER TIER ONLY Surds including rationalising Algebraic
Read more

Revision Paper 1

Please do the following set of questions urgently: Even if you completed them Thursday night please do them again. Foundation students just do the first 1 or 2 questions in each section, the third is much harder. Key Questions Redo 2017 past paper Question Paper Mark scheme On both Higher and Foundation Indices – all types from basic to fractional/neg Exact Trig Values Rates on graphs – gradient Angles in Polygons Equivalent Ratios – eg a:b then b:c etc. BIDMAS with algebra eg. 5a + 2a x 3a Congruency Multipliers eg. X is increased by 200% what is the multiplier Area of circles in terms of pi Vectors Adding / Subtracting / Multiplying / Dividing Mixed Fractions On Higher Paper Only Surds with mixed numbers Cum Freq with box plots and interpreting Scalar vector questions Surface area – volume – similar shapes Sequences – Fibonacci, quad seq nth term Simult eqns Inequalities – including graphing Tree Diagrams including conditional probability Parallel
Read more