# Maths GCSE Higher CHECKLIST

May 06, 2021

**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 |

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**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. 2x |

| 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. 2x |

| 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 |

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**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 |

Source: https://www.tes.com/teaching-resource/download/12137451

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