Complete GCSE math test prep courses covering the Foundations and Higher Tier Math tests. GCSE math prep from MathHelp.com.

A Complete GCSE Math Test Prep Course with a Personal Math Teacher

Hundreds of lessons covering all topics on two GCSE math tests: GCSE Foundations and GCSE Higher Tier. Practice for free or join at any time to access our complete lessons featuring videos, guided practice, self-tests, and more.

START FREE PRACTICE

93% of our customers say they got the math help they needed. 97% say they would recommend us.

GCSE Math Test Prep Reviews

“I was extremely happy to find that you have courses specifically geared toward the different standardized tests. I really can’t say enough about this – you really hit a home run!” Charles

“There are about 50 standardized math test prep courses right here. Better than using the book because of the teachers and practice tests, it is like having your own tutor, but a lot less maintenance. The best program for math test prep that I have found so far!” Lynda

“I was very afraid to take standardized tests, but this site made it possible for me to have the courage to do it. Thanks!” Cindy

“This site is excellent for all levels of skill. I am an adult and preparing for a standardized test. It allows me to work independently at my pace. User friendly and I especially like the teachers lessons. Makes math fun!” Jay

“Excellent site. Has many standardized tests. Plenty of practice, and the video teacher is easy to understand and she talks clear! There are challenges and more.” Angie

“Math is my weakest subject but this program explains everything perfectly! It has practice, self-tests, printable work sheets (you can also just copy it all down on paper), instructional videos and even notes. I love this program and use it every morning to prepare for an upcoming standardized math test. This truly is a great buy!” Laura

“This website is amazing! Anything you need for ANY standardized test is on this website. The videos are high quality, the instructor is very knowledgable and straight to the point. I cannot recommend this enough!” Joey

GCSE Math Scope & Sequence

CHAPTER 1: WHOLE NUMBERS

Unit 1: Number Concepts

Place Value

Comparing Numbers

Rounding

Unit 2: Addition and Subtraction

Addition

Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

Unit 3: Multiplication and Division

Multiplication

Exponents

Division

Estimating Products and Quotients

Multiplication and Division Word Problems

Unit 4: Order of Operations

Order of Operations

Grouping Symbols

Variables

Unit 5: Properties of Real Numbers

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Integers and the Number Line

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 2: Integer Operations

Addition

Subtraction

Multiplication

Division

Unit 3: Order of Operations and Word Problems

Order of Operations

Word Problems

CHAPTER 3: FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 5: Multiplication and Division

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

CHAPTER 4: DECIMALS

Unit 1: Decimal Concept

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Word Problems

Unit 2: Addition and Subtraction

Estimating Sums and Differences

Adding Decimals

Subtracting Decimals

Word Problems

Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 5: ALGEBRAIC THINKING

Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

Advanced Patterns

Unit 2: Variables and Expressions

Evaluating Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Modeling Expressions

Unit 3: One-Step Equations

Introduction to Equations

Addition Equations

Subtraction Equations

Multiplication Equations

Division Equations

Writing and Solving Equations

Unit 4: Multi-Step Equations

Two-Step Equations

Equations with the Variable on Both Sides

Equations with the Distributive Property

Modeling Two-Step Equations

Unit 5: Equations with Fractions and Formulas

Equations with Fractions

Beginning Formulas

Unit 6: Inequalities

Introduction to Inequalities

Solving Inequalities

CHAPTER 6: RATIO, PROPORTION, AND PERCENT

Unit 1: Ratio

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportion

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percent Concept

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent of a Number

Percent One Number is of Another

Using Percent to Find a Number

Percent Increase or Decrease

Unit 5: Percent Applications

Discount

Sales Tax

Interest

CHAPTER 7: GEOMETRY

Unit 1: Lines and Angles

Points, Lines, Segments, and Rays

Classifying Lines

Angles

Measuring Angles

Complementary and Supplementary Angles (Part 1)

Unit 2: Two-Dimensional Figures

Angles of a Triangle

Sides of a Triangle

Vocabulary

Quadrilaterals

Circles

Unit 3: Polygons and Angles

Sum of Interior and Exterior Angles

Regular Polygons

Unit 4: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

Unit 5: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

CHAPTER 8: RELATIONSHIPS, FUNCTIONS, AND GRAPHS

Unit 1: Introduction to Graphs and Functions

The Coordinate Grid

Relations and Functions

Evaluating and Graphing Functions

Unit 2: Graphing Lines

Graphing Lines

The Intercept Method

Unit 3: Patterns and Graphs

Finding the nth Term in a Pattern

Finite Differences to Generalize a Rule

Patterns and Table Building

Unit 4: Interpreting Graphs

Slope as a Rate of Change

Interpreting Graphs

CHAPTER 9: TRANSFORMATIONS AND SYMMETRY

Unit 1: Symmetry and Introductory Transformations

Symmetry

Transformations

Unit 2: Congruence Transformations

Reflections

Translations

Rotations

Unit 3: Dilations

Dilations

CHAPTER 10: MEASUREMENT

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter

Circumference

Word Problems

Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Word Problems

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Word Problems

Unit 5: Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 11: PROBABILITY AND STATISTICS

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 1: INTEGERS, EXPONENTS, AND ORDER OF OPERATIONS

Unit 1: Exponents, Variables, & Properties

Exponents

Variables

Field Properties

Unit 2: Introduction to Integers

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 3: Operations with Integers

Addition and Subtraction

Multiplication and Division

Unit 4: Order of Operations

Order of Operations

Integers

CHAPTER 2: FRACTIONS

Unit 1: Factors and Multiples

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 5: Multiplication and Division

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

CHAPTER 3: DECIMALS

Unit 1: Understanding Decimals

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Unit 2: Comparing, Rounding, and Estimating

Comparing Decimals

Rounding Decimals

Estimating Sums and Differences

Unit 3: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 4: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 4: ALGEBRAIC EXPRESSIONS

Unit 1: Evaluating Algebraic Expressions

Evaluation

Unit 2: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

CHAPTER 5: LINEAR EQUATIONS IN ONE VARIABLE

Unit 1: Beginning Equations

One-Step Equations

Two-Step Equations

Unit 2: Intermediate Equations

Equations with Fractions

Equations Involving Distributive

Unit 3: Advanced Equations

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Unit 4: Equations with Fractions and Decimals

Integer Solutions

Decimal Solutions

Fractional Solutions

Unit 5: Formulas

Beginning Formulas

Advanced Formulas

CHAPTER 6: RATIOS, PROPORTIONS, AND PERCENTS

Unit 1: Ratios and Rates

Introduction to Ratios

Unit Rate

Unit Price

Unit 2: Proportions

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Understanding Percent

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Unit 5: Percent Applications

Discount

Sales Tax

Interest

CHAPTER 7: GEOMETRY CONCEPTS

Unit 1: Lines and Angles

Points, Lines, Segments, and Rays

Classifying Lines

Measuring Angles

Complementary and Supplementary Angles

Unit 2: Two-Dimensional Figures

Angles of a Triangle

Sides of a Triangle

Polygons

Quadrilaterals

Circles

Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

CHAPTER 8: BEGINNING MEASUREMENT

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Area

Perimeter

Area of Squares and Rectangles

CHAPTER 9: SOLVING WORD PROBLEMS

Unit 1: Modeling Expressions and Equations

Translating English to Algebra

Unit 2: Introductory Word Problems

Number Problems

Consecutive Integer Problems

Geometry Problems

Unit 3: Advanced Word Problems

Interest Problems

Introductory Motion Problems

CHAPTER 10: INEQUALITIES, ABSOLUTE VALUE, FUNCTIONS, GRAPHING

Unit 1: Inequalities

Solving and Graphing Inequalities

Combined Inequalities

Advanced Inequality Problems

Unit 2: Absolute Value

Absolute Value Equations

Absolute Value Inequalities

Unit 3: Functions

The Coordinate Grid

Domain and Range

Definition of a Function

Function and Arrow Notation

Unit 4: Graphing

Graphing within a Given Domain

Graphing Lines

The Intercept Method

Graphing Inequalities in Two Variables

CHAPTER 11: TRANSFORMATIONS AND SYMMETRY

Unit 1: Introduction to Transformations & Symmetry

Symmetry

Transformations

Unit 2: Congruence Transformations

Reflections

Translations

Rotations

Unit 3: Dilations

Dilations

CHAPTER 12: LINEAR EQUATIONS IN TWO VARIABLES

Unit 1: Patterns and Table Building

Patterns and Table Building

Word Problems and Table Building

Unit 2: Slope

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 4: Interpreting Graphs

Linear Parent Graph and Transformations

Interpreting Graphs

Unit 5: Writing Equations of Lines in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 6: Equations of Lines: Point-Slope & Standard Form

Standard Form

The Point-Slope Formula

Given Two Points

Parallel and Perpendicular

Unit 7: Applications and Direct Variation

Direct Variation

Applications of Direct Variation and Linear Functions

CHAPTER 13: SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES

Unit 1: Solving Systems of Equations

By Graphing

By Addition

By Substitution

Advanced Systems

Unit 2: Applications of Systems of Equations

Number and Value Problems

Wind and Current Problems

CHAPTER 14: EXPONENTS AND POLYNOMIALS

Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

Unit 2: Combining Exponent Rules

Numerical Bases and Exponents of Zero

Combining Exponent Rules

Unit 3: Multiplying Polynomials

The Distributive Property

F.O.I.L.

Advanced Problems

CHAPTER 15: FACTORING POLYNOMIALS

Unit 1: Greatest Common Factor

Rules for Finding the G.C.F.

Factoring Out the G.C.F.

Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

Difference of Two Squares

Unit 3: Advanced Trinomial Factoring

Coefficient on x2 Term, Positive Constant

Coefficient on x2 Term, Negative Constant

Unit 4: Factoring by Grouping and Factoring Completely

Basic Technique

Factoring Out G.C.F. as First Step

Unit 5: Solving Polynomial Equations

Beginning Equations

Intermediate Equations

CHAPTER 16: RATIONAL EXPRESSIONS AND EQUATIONS

Unit 1: Beginning Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Unit 2: Advanced Rational Expressions

Adding Rational Expressions

Subtracting Rational Expressions

Unit 3: Complex Fractions

Complex Fractions

Unit 4: Rational Equations

Beginning Rational Equations

Advanced Rational Equations

Unit 5: Inverse Variation

Inverse Variation

CHAPTER 17: RADICAL EXPRESSIONS AND EQUATIONS

Unit 1: Simplifying Square Roots

Simplifying Square Roots

Multiplying Square Roots

Dividing Square Roots

Adding and Subtracting Square Roots

Unit 2: Beginning Radical Expressions

Simplifying Radicals

Multiplying Radicals

Dividing Radicals

Unit 3: Advanced Radical Expressions

Addition and FOILing

Advanced Division

Unit 4: Radical Equations

Beginning Equations

Advanced Equations

CHAPTER 18: QUADRATIC EQUATIONS AND FUNCTIONS

Unit 1: Introduction to Quadratics & Beginning Graphs

Linear or Quadratic

Graphs of Quadratic Functions and Beginning Transformations

Graphs of Quadratic Functions and Advanced Transformations

Solving Quadratic Equations by Graphing

Unit 2: Completing the Square

Square Rooting Both Sides

Beginning Completing The Square

Advanced Completing The Square

Unit 3: The Quadratic Formula

Beginning Quadratic Formula

Advanced Quadratic Formula

Unit 4: Imaginary and Complex Numbers

Beginning Imaginary Numbers

Advanced Imaginary Numbers

Beginning Complex Numbers

Unit 5: Graphing Quadratic Functions

Understanding y - k = a(x - h)2 Form

Graphing Quadratic Equations in y - k = a(x - h)2 Form

Graphing Quadratic Functions

CHAPTER 19: INTRODUCTION TO GEOMETRY

Unit 1: Basic Figures

Points, Lines, Planes, and Space

Segments, Rays, and Length

Segment Addition Postulate and Midpoint

Angles and Measure

Angle Addition Postulate and Angle Bisector

Unit 2: Reasoning

Inductive vs. Deductive Reasoning

Conditional Statements

Unit 3: Beginning Proofs

Properties

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

CHAPTER 20: PARALLEL & PERPENDICULAR LINES, ANGLES, AND POLYGONS

Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

Vertical Angles

Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

Unit 3: Parallel Lines

Vocabulary

Given Lines are Parallel

Proving Lines are Parallel

Unit 4: Angles and Triangles

Vocabulary and Triangle Sum Theorem

Word Problems and Exterior Angle Theorem

Unit 5: Polygons and Angles

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

CHAPTER 21: CONGRUENCE AND TRIANGLES

Unit 1: Beginning Concepts

Congruent Figures

Proving Triangles are Congruent by SSS, SAS, and ASA

Unit 2: Advanced Concepts

Isosceles Triangle Theorems

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

CHAPTER 22: QUADRILATERALS

Unit 1: Properties of Parallelograms

Properties of Parallelograms

Proving a Quadrilateral is a Parallelogram

More Parallel Line Theorems

Unit 2: Special Parallelograms and Trapezoids

Rectangles, Rhombuses, and Squares

Trapezoids

CHAPTER 23: SIMILARITY

Unit 1: Ratio and Proportion

Ratio

Proportion

Unit 2: Similar Figures

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

Unit 3: Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

CHAPTER 24: RIGHT TRIANGLES

Unit 1: The Pythagorean Theorem

The Pythagorean Theorem

Word Problems

Converse of the Pythagorean Theorem

Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

30-60-90 and 45-45-90 degree Triangles (Part II)

Unit 3: Right Triangle Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

Word Problems

CHAPTER 25: CIRCLES

Unit 1: Vocabulary and Tangents

Vocabulary

Tangents

Unit 2: Arcs, Central Angles, and Chords

Arcs and Central Angles

Beginning Arcs and Chords

Advanced Arcs and Chords

Unit 3: Angles and Segments

Inscribed Angles

Angles Formed by Chords, Secants, and Tangents

Unit 4: Segment Lengths

Theorems and Beginning Problems

Advanced Problems

CHAPTER 26: AREA, VOLUME, AND SURFACE AREA

Unit 1: Area of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

Area of Parallelograms

Unit 2: Area of Triangles, Rhombuses, and Trapezoids

Area of Triangles

Area of Rhombuses

Area of Trapezoids

Unit 3: Area of Regular Polygons and Circles

Area of Regular Polygons

Area and Circumference of Circles

Unit 4: Volume and Surface Area: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

Advanced Right Prisms

Unit 5: Volume and Surface Area: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

Advanced Regular Pyramids

Unit 6: Volume and Surface Area: Cylinders, Cones, & Sphere

Cylinders and Cones

Spheres

CHAPTER 27: DATA AND STATISTICS

Unit 1: Common Graphs and Charts

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

Unit 3: Measures of Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

MathHelp.com is used by Sylvan Learning and Kaplan.