# Maths GCSE Higher CHECKLIST

May 06, 2021

iGCSE 9-1 Edexcel, maths revision checklist (Higher)

Geometry and Measures

 I can do this Grade Title 9 Vectors involving ratios 9 3d Sine and Cosine rule 8 Vectors along a straight line 8 3d Trig, angle between line and plane 8 3d Pythagoras in pyramids 7 3d Pythagoras in cuboids 7 Surface area: cones and spheres 7 Circle theorems 7 Sine and Cosine Rule 6/7 Trig with obtuse angles 6 Volume: Spheres and cones 6 Combined transformations 6 Areas of sectors and segments 6 Angles of elevation and depression 6 Vector: Notation, arithmetic 5 Enlargements and negative SF 5 Pythagoras distance between two points. 5 Surface Area 5 Trigonometry formulas 5 Circle theorems 4 Pythagoras theorem 4 Rotations 4 Congruent triangles 4 Enlargements and fractional SF 4 Translations 4 Reflections 4 Constructing bisectors 3 Bearings 3 Triangle constructions 3 Volume of prisms 3 Areas of composite shapes 4 Area and circumference of circles 3 Areas of triangles, trapezia and parallelograms 3 Interior and exterior angles 3 Angles on parallel lines 3 Geometrical rules 3 Measuring lines and angles 3 Properties of quadrilaterals 3 Properties of triangles 3 Using standard units

Statistics

 I can do this Grade Title 8 Interpreting histograms 7 Drawing histograms 7 Similar area and volume 6 Quartiles, interquartile range 6 Comparing data 4 Frequency Tables 4 Relative frequency 4 Listing Outcomes and Expected frequency

Probability

 I can do this Grade Title 8 Tree Diagrams, conditional 7 Tree Diagrams 7 Direct Proportion 7 Inverse Proportion 7 Probability from 3 set venn diagram 6 The ‘AND’ Rule, Independent 5 The ‘OR’ Rule, Mutually exclusive 5 Probability from Venn diagrams 4 Mutually exclusive sum 4 Relative Frequency 4 Expected Frequency 4 Listing Outcomes (sample space diagrams) 3 Probability of equally likely outcomes

Algebra

 I can do this Grade Title 9 Graph stretches 9 Differentiation, displacement - velocity - acceleration 9 Differentiation: max or min 9 Quadratic inequalities (trinomial) 9 Completing the square where a is not 1 of e.g. 2x2 + 5x + 2 9 Sketching graph from completing the square 9 Surds: Rationalising the denominator 8 Differentiation: stationary points 8 Graph reflections 8 Trigonometry graph transformations 8 Tangent to find gradient of a curve 8 Graphing Quadratic linear simultaneous equations 8 Sum of arithmetic series 8 Algebraic quadratic linear simultaneous equations 8 Completing the square 8 Algebraic fractions 8 Trigonometry graphs 8 Proof involving odds and evens 8 Composite and inverse functions 7 Graph translations 7 Proof involving multiples 7 Disproof by counter example 7 Nth term from any two terms 7 Quadratic inequalities (binomial) 7 Applied quadratic equations 7 Manipulating surds 7 Fractional rule of indices 7 Triple Bracket expansion 7 Quadratic formula 7 Factorising a quadratic where a is not 1 of e.g. 2x2 + 5x + 2 7 Equations of perpendicular lines 7 Excluding from a domain 7 Differentiation to find the gradient 6 Differentiation formula 6 Functions 6 Equations of parallel lines 6 Graphing linear simultaneous equations 6 Quadratic inequalities 6 Simplifying algebraic fractions 6 Changing the subject when it appears twice 6 Factorising, difference of two squares 6 Cubic and reciprocal graphs 5 Showing inequalities on a graph (regions) 5 Simultaneous equations 5 Solving quadratic equations from a graph 5 Factorising quadratic expressions 5 Graphical solution to equations 5 Deciding if a term is in a sequence 5 Linear equations 5 Quadratic graphs 5 Simplify indices 5 Solve linear inequalities with one variable 5 Solving equations with fractions or squares 5 Changing the subject (rearranging formulas) 4 Inequalities on number lines 4 Expressions 4 Finding the equation of a line 4 Graphs of linear functions 4 Solving equations with brackets 4 Factorising single brackets 4 nth term of a linear sequence 4 Expanding double brackets 4 Substitution 4 Using "y = mx + c" 3 Gradient of a line 3 Plotting straight line graphs 3 Inequalities 3 Midpoint of a line 3 Straight line graphs, Horizontal, vertical and diagonal 3 Solving equations with one unknown 3 Expanding single brackets 3/4 Using Formulae 3 Number and shape patterns

Number

 I can do this Grade Title 8 3 Set Venn Diagram 7 Bounds calculations: min and max 7 Recurring decimals to fractions 7 Venn diagrams with number of members 7 Drawing a Venn diagram 6 Subsets: Sets and Venn 6 Sets: Describing sets, number 5 Venn Diagrams to represent Sets 5 Complement of sets 5 Calculating with standard form 5 Bounds 5 Index Laws 5 Recurring decimals 5 LCM and HCF 4 Sets: Member, union, intersection and number 4 Prime Factors 4 Estimation 4 Fractions and percentages 4 Fractions and ratio problems 4 Interpret calculator displays 4 Multiplying fractions 4 Standard Form 3 Rounding to significant figures 3 Adding and subtracting fractions 3 Decimals 3 Mixed numbers and improper fractions 3 Prime numbers 3 Multiples and factors

Ratio, Proportion and rates of change

 I can do this Grade Title 6 Cumulative frequency 5 Compound interest and depreciation 4 Unit conversions: area and volume 4 Scale factors and similarity 4 Speed, density and pressure 4 Reverse percentages 4 Compare Fractions, Decimals and Percentages 4 Comparing quantities as a ratio 4 Division of a quantity as a ratio 4 Express one quantity as a % of another 4 Percentage change 4 Ratio Sharing 4 Speed Time graphs 3 Distance time graphs 3 Proportion and recipes 3 Simple interest 3 Express one quantity as a fraction of another 3 Percentages of amounts 3 Currency Conversions

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