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GCSE Higher Maths Tuition

More content has been added to the Higher Tier in order to stretch and challenge the most able students and better prepare them for A Level Mathematics. So the there is an new knowledge, skill and understanding that will be assessed.

Higher Tier Papers are assessed approximately in these proportions (±3%), although this could change

  • Number 15%
  • Ratio, Proportion and rates of Change 20%
  • Algebra 30%
  • Statistics and probability 15%
  • Geometry and Measures 20%

click on the headings to drill down

N1, Order numbers

N2, Add, subtract, multiply, divide

N3, Operations

N4, Factors, multiples and primes

N5, Listing and counting

N6, Powers and roots

N7, Powers and roots and fractional indices

N8, Exact calculations

N9, Standard form

N10, Fractions and decimals

N11, Fractions and ratios

N12, Fractions and percentages

N13, Units of measurement

N14, Estimation

N15, Rounding

A1, Basic notation

A2, Substitution

A3, Algebraic terms

A4, Manipulate algebra

A5, Formulae

A6, Expressions

A7, Functions

A8, Graphs

A9, Straight line graphs

A10, Gradients and intercepts

A11, Key features of graphs

A12, Other graphs

A13, Transformations of graphs

A14, Real life graphs

A15, Distance-time graphs and speed-time graphs

A16, Graph of a circle

A17, Linear equations

A18, Quadratic equations

A19, Simultaneous equations

A20, Iteration

A21, Creating expressions and equations

A22, Inequalities

A23, Sequences

A24, Sequences

A25, Nth term of a sequence

R1, Units

R2, Scale

R3, Finding a fraction

R4, Simple ratios

R5, Using ratios

R6, Writing as a ratio

R7, Proportion

R8, Ratio and fractions

R9, Percentages

R10, Proportion

R11, Compound units

R12, Comparisons

R13, Direct and inverse proportion

R14, Graphs and proportion

R15, Graphs and proportion

R16, Growth and decay

G1, Understanding terms

G2, Constructions

G3, Basic angle facts

G4, Triangles, quadrilaterals and other polygons

G5, Congruent triangles

G6, Applying angle facts and other properties

G7, Transformations

G8, Combinations of transformations

G9, The circle

G10, Circle theorems

G11, Geometry on a grid

G12, Solid shapes

G13, Plans and elevations

G14, Units of measure

G15, Maps and scale drawings

G16, Area and volume

G17, Circles and other shapes

G18, Sectors and arcs

G19, Congruence and similarity

G21, Exact values of sin, cos and tan

G22, Sine and cosine rules

G23, Area of a triangle using sin

G24, Vectors for translations

G25, Using vectors

P1, Basic probability

P2, Random, fair and equally likely events

P3, Relative frequency

P4, Exhaustive outcomes

P5, Experimental probability

P6, Diagrams

P7, Sample spaces

P8, Probability trees

P9, Conditional probabilities

S1, Sample populations

S2, Graphs and diagrams

S3, Grouped data

S4, Measures of data

S5, Describing a population

S6, Scatter graphs


GCSE Foundation

At Foundation Tier the biggest change is content, it is more challanging. There are new topics introduced in 2015, which were assessed at the Higher Tier in 2010 specification.

Foundation Tier Papers are assessed approximately in these proportions (±3%), although this could change

  • Number 25%
  • Ratio, Proportion and rates of Change 25%
  • Algebra 20%
  • Statistics and probability 15%
  • Geometry and Measures 15%

click on the headings to drill down

N1, Order numbers

N2, Add, subtract, multiply, divide

N3, Operations

N4, Factors, multiples and primes

N5, Listing and counting

N6, Powers and roots

N7, Powers and roots and fractional indices

N8, Exact calculations

N9, Standard form

N10, Fractions and decimals

N11, Fractions and ratios

N12, Fractions and percentages

N13, Units of measurement

N14, Estimation

N15, Rounding

A1, Basic notation

A2, Substitution

A3, Algebraic terms

A4, Manipulate algebra

A5, Formulae

A6, Expressions

A7, Functions

A8, Graphs

A9, Straight line graphs

A10, Gradients and intercepts

A11, Key features of graphs

A12, Other graphs

A14, Real life graphs

A17, Linear equations

A18, Quadratic equations

A19, Simultaneous equations

A21, Creating expressions and equations

A22, Inequalities

A23, Sequences

A24, Sequences

A25, Nth term of a sequence

R1, Units

R2, Scale

R3, Finding a fraction

R4, Simple ratios

R5, Using ratios

R6, Writing as a ratio

R7, Proportion

R8, Ratio and fractions

R9, Percentages

R10, Proportion

R11, Compound units

R12, Comparisons

R13, Direct and inverse proportion

R14, Graphs and proportion

R16, Growth and decay

G1, Understanding terms

G2, Constructions

G3, Basic angle facts

G4, Triangles, quadrilaterals and other polygons

G5, Congruent triangles

G6, Applying angle facts and other properties

G7, Transformations

G9, The circle

G11, Geometry on a grid

G12, Solid shapes

G13, Plans and elevations

G14, Units of measure

G15, Maps and scale drawings

G16, Area and volume

G17, Circles and other shapes

G18, Sectors and arcs

G19, Congruence and similarity

G21, Exact values of sin, cos and tan

G24, Vectors for translations

G25, Using vectors

P1, Basic probability

P2, Random, fair and equally likely events

P3, Relative frequency

P4, Exhaustive outcomes

P5, Experimental probability

P6, Diagrams

P7, Sample spaces

P8, Probability trees

S1, Sample populations

S2, Graphs and diagrams

S4, Measures of data

S5, Describing a population

S6, Scatter graphs


Tutor: Billy Ingram M.Sc., PGCE

I offer GCSE maths Online tuition to all abilities. I teach either one to one or a small group of friends. Look at for on demand GCSE Topics involving up to 30 students which is cheaper than a one to one online tuition. Send me an email of the GCSE Maths topics you would like to learn online. I have an enhanced-DBS and full teaching qualifications.


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Hours of GCSE Online Maths Tuition

  • Monday 09:00 to 21:00
  • Tuesday 09:00 to 21:00
  • Wednesday 09:00 to 21:00
  • Thursday 09:00 to 21:00
  • Friday 09:00 to 21:00
  • Saturday 09:00 to 21:00
  • Sunday Closed

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