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With interactive drag and drop technology, dynamic content, out-of-the-box interactions, Skoolmaths offers everything you need to teach mathematics, enthuse today’s students, and provide a strong foundation for other maths-related subjects.

All Secondary maths topics​ covered on our site

All the KS3 maths topics available on our site will enable learners to  develop ‘mathematical process’ skills, which include reasoning, analysis and evaluation.

The year 7 maths topics we cover are listed below:

Numbers

    • Place value and rounding
    • Decimal place value
    • Adding and subtracting whole number – a recap
    • Adding and subtracting decimals
    • Dealing with money
    • Multiplication of whole numbers
    • Long multiplications
    • Multiplying with decimals
    • Mental division of whole numbers
    • Division of decimals
    • Fractions
    • Equivalent fractions
    • Fractions of quantities
    • Mixed numbers and improper fractions
    • Negative numbers
    • Adding and subtracting negative numbers
    • Multiplying and dividing negative numbers

Algebra

    • Using letters to represent numbers
    • Simplifying equations
    • Solving simple equations
    • Number sequences
    • Input, output and mapping diagrams
    • Plotting graphs using co-ordinates

Geometry and measures

    • Recognising parallel and perpendicular lines
    • Calculating the sum of angles on a point, triangle and straight line
    • Using the correct geometrical terms
    • Geometrical problems using triangles and quadrilaterals
    • Reflections, rotations and translations of 2D shapes
    • Symmetry of a 2D shape
    • Finding co-ordinates of points
    • Using a ruler and protractor to draw accurate lines, angles and triangles, and construct 3D shapes
    • Estimating and calculating problems involving measuring
    • Converting metric units
    • Estimating the size of acute, obtuse and reflex angles
    • Learning the formula for calculating the area of a rectangle
    • Surface area of cubes and cuboids

Statistics

    • Collecting data from surveys and experiments
    • Designing questionnaires to collect data
    • Creating frequency tables
    • Calculating statistics
    • Finding the mode, median and mean
    • Creating and interpreting graphs, pie charts and diagrams showing data, on paper and using ICT
    • Writing a statistical report
    • Understanding probability terms such as likely, unlikely, impossible, probably
    • Estimating probability from a simple experiment
    • Comparing probabilities

All the KS3 maths topics available on our site will enable learners to  develop ‘mathematical process’ skills, which include reasoning, analysis and evaluation.

The year 8 maths topics we cover are listed below:

Number

  • Factors and prime numbers
  • Prime factors
  • Index notations
  • Highest Common factor and lowest common multiples
  • Squares and square roots
  • Revision of the four rules – Whole numbers
  • Revision of the four rules – Decimals
  • Order of operations
  • Problems in contexts
  • Rounding
  • Estimating
  • Calculator logics – Bracket and memory keys
  • Revision of operations with fractions
  • Problems in context
  • Converting fractions and percentages
  • Finding percentages
  • Increasing and decreasing quantities by a percentage
  • Percentage increase and decrease
  • Reverse percentage
  • Working with money

Algebra

  • Expanding single brackets
  • Linear equations
  • Common factors
  • Expanding two brackets
  • Substitution with simple formulae
  • Substitution with complex equations
  • Non-linear equations
  • Changing the subject of a formula
  • Coordinates
  • Plotting points on straight lines
  • Plotting graphs given their equations
  • The equation of a straight line
  • The equation of a line given two points

Ratio, proportion and rates of change

  • Equivalent ratios
  • Direct proportions
  • Proportional divisions
  • Linear conversions
  • Inverse proportions

Geometry and measures

  • Common 2-D shapes and 3-D shapes
  • Isometric drawings
  • Plans and elevations
  • Nets and surface area of cubes and cuboids
  • Nets of prisms and pyramids
  • Pythagoras theorems
  • Calculating the length of the hypotenuse
  • Calculating the lengths of the other sides
  • Problems in context
  • Constructions and angles
  • Parallel and intersecting lines
  • 3-figure bearings
  • Scale drawings
  • Time – 24 hour clock
  • Angle facts
  • Angle properties of polygons
  • Symmetry
  • Quadrilaterals
  • Introduction to circles
  • Estimating the circumference of a circle
  • Estimating the area of a circle
  • Formulae for circumference and area
  • Volume and surface area of a cylinder
  • Estimating metric units of length, mass and capacity
  • Conversion between metric units
  • Estimating imperial units of length, mass and capacity
  • Conversion between metric and imperial units
  • Speed
  • Calculating speed, distance and time
  • Solving problems with mixed units
  • Distance-time graphs
  • Other compound measures
  • Enlargement
  • Similar shapes
  • Line, area and volume ratios
  • Maps and scale models

Probability

  • Revision of basic probability of single event
  • Outcome with two events
  • Probability using listings
  • Multiplicative law for independent event
  • Conditional probability

Statistics

  • Frequency tables – Discreet ungrouped data
  • Mean, median, mode and range
  • describe simple mathematical relationships between 2 variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs

All the KS3 maths topics available on our site will enable learners to  develop ‘mathematical process’ skills, which include reasoning, analysis and evaluation.

The year 9 maths topics we cover are listed below:

Number

  • Factors and prime numbers
  • Prime factors
  • Index notations
  • Highest Common factor and lowest common multiples
  • Squares and square roots
  • Revision of the four rules – Whole numbers
  • Revision of the four rules – Decimals
  • Order of operations
  • Problems in contexts
  • Rounding
  • Estimating
  • Calculator logics – Bracket and memory keys
  • Revision of operations with fractions
  • Problems in context
  • Converting fractions and percentages
  • Finding percentages
  • Increasing and decreasing quantities by a percentage
  • Percentage increase and decrease
  • Reverse percentage

Algebra

Pupils should be taught to:

  • Expanding single brackets
  • Linear equations
  • Common factors
  • Expanding two brackets

Ratio, proportion and rates of change

Pupils should be taught to:

  • Equivalent ratios
  • Direct proportions
  • Proportional divisions
  • Linear conversions
  • Inverse proportions

Geometry and measures

  • Common 2-D shapes and 3-D shapes
  • Isometric drawings
  • Plans and elevations
  • Nets and surface area of cubes and cuboids
  • Nets of prisms and pyramids
  • Pythagoras theorems
  • Calculating the length of the hypotenuse
  • Calculating the lengths of the other sides
  • Problems in context
  • Constructions and angles

Probability

  • Revision of basic probability of single event
  • Outcome with two events
  • Probability using listings

Statistics

  • Frequency tables – Discreet ungrouped data
  • Mean, median, mode and range
  • describe simple mathematical relationships between 2 variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs

The GCSE maths topics we cover are listed below:

Grade 1/2

    • Addition and subtraction
    • Multiplication and division
    • Rounding
    • Estimating
    • Powers and roots
    • Factors and multiples
    • Fractions of a quantity
    • Fraction, decimal and percentage
    • Negative numbers
    • Order of operation
    • Area and perimeter
    • Bar charts
    • Pie charts
    • Stem and leaf diagrams
    • Frequency polygons
    • Algebra – collecting like terms
    • Averages

Grade 3

    • Error intervals
    • Addition and subtraction of fractions
    • Multiplication of fractions
    • Division of fractions
    • Sharing between a ratio
    • Proportions
    • Percentage of an amount
    • Percentage increase and decrease
    • Percentage change
    • Substitution
    • Solving equations
    • Solving equations with unknown on both sides
    • Linear graphs
    • Area and circumference of circles
    • Transformations
    • Area of compound shapes
    • Probability
    • Two-way tables

Grade 4

    • Compound interest and depreciation
    • Indices
    • HCF and LCM
    • Functional maths
    • Inequalities
    • Forming and solving equations
    • Types of sequences
    • Generating sequences
    • Sequences – Nth term
    • Expanding and factorising
    • Pythagoras theorem
    • Angle problems
    • Angles in polygons
    • Angles in parallel lines
    • Surface area
    • Volume of prisms
    • Volume and surface area of a cylinder
    • Construction and loci
    • Bearings
    • Calculating averages from frequency tables
    • Probability
    • Scatter diagrams

Grade 5

    • Writing a Ratio as a Fraction or Linear Function
    • Direct and Inverse Proportion
    • Speed and density
    • Reverse Percentages
    • Standard form
    • Changing the Subject of a Formula
    • Expanding and Factorising Quadratics
    • Solving equations
    • Drawing quadratic graphs
    • Drawing Other Graphs: Cubic/Reciprocal
    • Simultaneous equations
    • Solving Simultaneous Equations Graphically
    • Midpoint of a Line Segment
    • Gradient of a line
    • Equation of a Line
    • Arc lengths and sector area
    • Volume and surface area of pyramids, spheres and cones
    • Similar Shapes (Lengths)
    • Trigonometry
    • Exact trigonometric values
    • Probability trees
    • Venn diagrams
    • Vectors

Grade 6

    • Recurring Decimals to Fractions
    • Fractional and Negative Indices
    • The Product Rule for Counting
    • Repeated Percentage Change
    • Expanding Triple Brackets
    • Parallel and Perpendicular Lines
    • Length of a line segment
    • Inequalities on Graphs
    • Similar Shapes (Area and Volume)
    • Enlarging with Negative Scale Factors
    • Cumulative Frequency
    • Circle theorem
    • Box and whisker plot

Grade 7

    • Direct and Inverse Proportion
    • Surds
    • Upper and lower bounds
    • Quadratic formula
    • Factorising Harder Quadratics
    • Algebraic Fractions
    • Rearranging Harder Formulae
    • Harder Graphs: Trig/Exponential
    • Inverse and Composite Functions
    • Finding the area of any triangle
    • Iteration
    • Congruent Triangles
    • The sine rule
    • The cosine rule
    • Venn Diagrams (“Given that” questions)
    • 3D Pythagoras
    • Histograms

Grade 8/9

    • Quadratic Simultaneous Equations
    • Transforming Graphs y=f(x)
    • Proof
    • Completing the Square
    • The Nth Term of a Quadratic Sequence
    • Quadratic Inequalities
    • Velocity Time Graphs
    • Proof of the Circle Theorems
    • Perpendicular Lines and the equation of a tangent
    • Vectors Proof Questions
    • Probability Equation Questions

A-level mathematics is currently modular giving students a choice in the maths they study for their AS (1 year course) or A level (extending the AS). Modules are Core pure maths (C1-4), Statistics (S1, S2), Mechanics (M1, M2) and Decision (D1, D2).

All AS maths students will do C1 and C2 and one of S1, M1 and D1

For potential biology students, the strong recommendation is to choose the S1 option.

For potential physics or engineering students, the strong recommendation is to choose M1.

The topics we cover are listed below:

Core 1

    • Indices and Surds
    • Algebra and Functions 1
    • Algebra and Functions 2
    • Coordinate Geometry
    • Sequences and series
    • Differentiation and Integration 1
    • Differentiation and Integration 2

Core 2

    • Factor Theorem and Remainder Theorem
    • The Binomial Expansion
    • Sequences and Series
    • Coordinate Geometry – Circles
    • Logs
    • Geometry – Sine Rule, Cosine Rule, Sectors, Arcs
    • The Trapezium Rule
    • Differentiation and Integration
    • Trigonometry
    • Trig Identities

Statistics 1

    • Representing Data
    • Correlation and Regression
    • Probability
    • Discrete Random Variables
    • The normal distribution

Mechanics 1

    • SUVAT
    • Velocity Time Graphs
    • Resolving Forces
    • Dynamics – F=ma
    • Dynamics – Plane
    • Momentum
    • Moments
    • Vectors

A-level mathematics is currently modular giving students a choice in the maths they study for their AS (1 year course) or A level (extending the AS). Modules are Core pure maths (C1-4), Statistics (S1, S2), Mechanics (M1, M2) and Decision (D1, D2).

For a full A-level in maths students will have done C1-C4 and two of S1, D1, M1, S2, D2, M2

Where there is a choice, potential biologists would be strongly recommended to choose S1 and S2. Physicists and engineers should choose M1 and M2.

A-level maths candidates will know the graphs of e, ln, trig identities, trig differentiation, product, quotient and chain rule.

If they have taken S2 then they will also know some other distributions, know what a random variable is and know about hypothesis testing in simple contexts.

The topics we cover are listed below:

Core 1

    • Indices and Surds
    • Algebra and Functions 1
    • Algebra and Functions 2
    • Coordinate Geometry
    • Sequences and series
    • Differentiation and Integration 1
    • Differentiation and Integration 2

Core 2

    • Factor Theorem and Remainder Theorem
    • The Binomial Expansion
    • Sequences and Series
    • Coordinate Geometry – Circles
    • Logs
    • Geometry – Sine Rule, Cosine Rule, Sectors, Arcs
    • The Trapezium Rule
    • Differentiation and Integration
    • Trigonometry
    • Trig Identities

Core 3

    • Functions
    • Logs
    • Numerical methods
    • Trigonometry
    • Differentiation

Core 4

    • Partial Fractions and The Binomial Expansion
    • Differentiation
    • Integration
    • Parametric Equations
    • Differential equations
    • Vectors

Statistics 1

    • Representing Data
    • Correlation and Regression
    • Probability
    • Discrete Random Variables
    • The normal distribution

Mechanics 1

    • SUVAT
    • Velocity Time Graphs
    • Resolving Forces
    • Dynamics – F=ma
    • Dynamics – Plane
    • Momentum
    • Moments
    • Vectors
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Skoolmaths provides hundreds of interactive lessons, activities and assignment tasks for practice and to level of attainment. Lessons and activities are matched to all UK curricula.

Interactive lessons provide step-by-step examples to break down learning into manageable chunks. Lessons cover year 7 to A-level maths and can be used by learners of all abilities.

Sample lessons

Try some of our sample lessons and activities below.​

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