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Maths

GCSE-style Maths Higher 14–16

GCSE-style Higher maths practice for ages 14–16, up to grades 8–9: surds and fractional indices, bounds, recurring decimals, quadratics and the formula, quadratic inequalities, algebraic fractions, functions and graph transformations, sine and cosine rules, 3D trigonometry, circle theorems, vectors, conditional probability, histograms and cumulative frequency.

Start the programmeTake the check-up
Ages 14–166 levels · 86 lessonsAbout 5 minutes a lessonFree to start

Level 1 · Unit 1

The first steps on the path

Lessons unlock one after another. Done lessons stay open for extra practice.

Try a sample lesson

This is how the first lesson starts. Sign in to play it and save stars.

Learn

Indices

About 5 minutes

How it works

A power is repeated multiplying: 2³ = 2 × 2 × 2 = 8. A prime has exactly two factors: 1 and itself.

  • Example 1

    Work out 25³ᐟ².

    Answer: 125

  • Example 2

    Work out 9¹ᐟ².

    Answer: 3

Let’s practise

What’s inside

6 levels · 14 units · 86 lessons. Each unit ends with a check-up that unlocks the next one.

Level 1 · Number

  1. Indices, surds and standard form · 6 lessons

    • Indices
    • Surds
    • Standard form
    • Indices · Challenge
    • Surds · Challenge
    • Standard form · Challenge

  2. Bounds, recurring decimals and growth · 6 lessons

    • Bounds
    • Recurring decimals
    • Compound interest
    • Bounds · Challenge
    • Recurring decimals · Challenge
    • Compound interest · Challenge

  3. Proportion, percentages and primes · 6 lessons

    • Proportion
    • Reverse percentages
    • Primes, HCF and LCM
    • Proportion · Challenge
    • Reverse percentages · Challenge
    • Primes, HCF and LCM · Challenge
Level 2 · Algebra

  1. Quadratics and inequalities · 6 lessons

    • Factorising
    • Quadratic equations
    • Inequalities
    • Factorising · Challenge
    • Quadratic equations · Challenge
    • Inequalities · Challenge

  2. Simultaneous equations and algebraic fractions · 6 lessons

    • Simultaneous equations
    • Algebraic fractions
    • Index laws with letters
    • Simultaneous equations · Challenge
    • Algebraic fractions · Challenge
    • Index laws with letters · Challenge

  3. Formulae and sequences · 5 lessons

    • Rearranging formulae
    • nth term rules
    • Expanding brackets
    • Rearranging formulae · Challenge
    • nth term rules · Challenge
Level 3 · Graphs and functions

  1. Lines and quadratic graphs · 7 lessons

    • Equations of lines
    • Parallel and perpendicular lines
    • Gradients
    • Quadratic graphs
    • Parallel and perpendicular lines · Challenge
    • Quadratic graphs · Challenge
    • Midpoints and lengths

  2. Functions, transformations and motion graphs · 6 lessons

    • Functions
    • Graph transformations
    • Distance–time and velocity–time graphs
    • Functions · Challenge
    • Graph transformations · Challenge
    • Distance–time and velocity–time graphs · Challenge
Level 4 · Trigonometry and geometry

  1. Trigonometry · 7 lessons

    • Right-angled triangles
    • Exact values
    • Sine and cosine rules
    • 3D problems
    • Exact values · Challenge
    • Sine and cosine rules · Challenge
    • 3D problems · Challenge

  2. Circle theorems, arcs and sectors · 4 lessons

    • Circle theorems
    • Arcs and sectors
    • Circle theorems · Challenge
    • Arcs and sectors · Challenge

  3. Vectors, similarity and solids · 7 lessons

    • Vectors
    • Similar shapes
    • Cones, spheres, pyramids
    • Pythagoras (decimals)
    • Vectors · Challenge
    • Similar shapes · Challenge
    • Cones, spheres, pyramids · Challenge
Level 5 · Probability and statistics

  1. Conditional probability · 7 lessons

    • Tree diagrams
    • Venn diagrams
    • Two-way tables
    • Conditional probability
    • Tree diagrams · Challenge
    • Venn diagrams · Challenge
    • Conditional probability · Challenge

  2. Histograms, cumulative frequency and box plots · 6 lessons

    • Histograms
    • Cumulative frequency
    • Box plots
    • Histograms · Challenge
    • Cumulative frequency · Challenge
    • Comparing and sampling
Level 6 · Mixed exam-style practice

  1. Mixed GCSE-style Higher practice · 7 lessons

    • Number II: Mixed (by level)
    • Algebra II: Mixed practice
    • Graphs and functions: Mixed practice
    • Geometry II: Mixed (by level)
    • Trigonometry: Mixed (by level)
    • Probability: Mixed (by level)
    • Statistics II: Mixed (by level)

About this programme

The units cover the Higher tier of the GCSE maths subject content for England (roughly US Algebra 1, Geometry and the start of Algebra 2). Each unit starts at grade 6–7 and finishes with grade 8–9 questions, with a worked solution for every answer.

Crayonbird is not linked to any exam board. Every question is original and generated by code, and the answer keys are worked out exactly, so they are always right.

Questions grown-ups ask

Where should I start?

Take the GCSE-style maths check-up (about 15 questions). It adapts to your answers and suggests a programme and level, from KS3-style to GCSE-style Higher.

How do I type answers like √12 or x ≥ 3?

A maths keypad under each answer box has √, powers, fractions, π, brackets and ≤ ≥. Answers are checked by value, and you get a nudge when the value is right but not yet in its simplest or factorised form.

How long is a lesson?

Most lessons take 5 to 10 minutes: a short learn card, practice that is marked as you go, and often a quick game. Little and often works best.

Do children need an account?

A grown-up signs up and adds a child profile; children never need an email or password. Class students sign in with their class code and PIN.

Is the practice the same every time?

No. Every practice step is generated fresh, so a child can repeat a lesson as often as they like and still get new questions.

Can I see how my child is doing?

Yes. The parent dashboard shows each programme, the level, stars, when your child last practised, and the skills that are going well or need more work.

Can I print the lessons?

Lessons are made for the screen, but every practice sheet can also be printed from the worksheet maker.

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