Maths GCSE Foundation CHECKLIST

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Grade

Title

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

Constructions, perpendicular and angular 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: Alternate, corresponding and interior angles

3

Geometrical rules

3

Measuring lines and angles

3

Properties of quadrilaterals

3

Properties of triangles

3

Using standard units

2

Congruence

2

Regular polygons

2

Symmetry

2

Volume of cuboids

2

Parts of a circle

1

Nets

1

Time

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Grade

Title

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

2

Collecting like terms

1

Coordinates in Four quadrants

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Grade

Title

4

Frequency Tables

4

Relative frequency

4

Listing Outcomes and Expected frequency

2/3

Pie Charts

3

Mean, median, mode and range

3

Choosing the best average

2

Two way tables

2

Expected events

1

Bar Charts

1

pictographs

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Grade

Title

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

2

Use scale factors, diagrams and maps

2

Simplifying ratios

1

Converting metric units

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Grade

Title

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

2/3

Order of operations

2

Simplifying fractions

2

Integers

2

Square numbers and square roots

2

Cube numbers and cube roots

2

Rounding to decimal places.

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Grade

Title

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

1

Probability scales