A complete school maths textbook · free online

Find the bit of maths
that finally makes it click.

Straightforward explanations, worked examples and practical hints across 70 topics—from number basics to calculus and statistics.

240+ free lessons No sign-up Built for revision

The complete library

What do you want to learn?

70 topic guides, ordered from foundations to advanced study.

70 topic guides
01Foundations

Numbers

7 lesson sections

02Foundations

Operations

6 lesson sections

03Foundations

Algebra

5 lesson sections

04Foundations

Equations

3 lesson sections

05Foundations

Inequations

2 lesson sections

06Foundations

Indices and powers

4 lesson sections

07Foundations

Basic geometry

10 lesson sections

08Foundations

2D shapes

5 lesson sections

09Foundations

3D solid shapes

4 lesson sections

10Foundations

Basic interest

1 lesson section

11Foundations

Bearings, azimuths, and symmetry

2 lesson sections

12Foundations

Ratios

3 lesson sections

13Core skills

Mathematical relations

11 lesson sections

14Core skills

Simultaneous equations

3 lesson sections

15Core skills

Rational numbers

2 lesson sections

16Core skills

Statistics

11 lesson sections

17Core skills

Pythagoras’ Theorem

2 lesson sections

18Core skills

Irrational numbers & surds

2 lesson sections

19Core skills

Probability and set language

5 lesson sections

20Core skills

More algebra

3 lesson sections

21Core skills

Exponentials and indices

3 lesson sections

22Core skills

Budgeting

2 lesson sections

23Core skills

Shapes inside circles

2 lesson sections

24Core skills

More 3D shapes and shape nets

3 lesson sections

25Core skills

Different forms of linear equations

3 lesson sections

26Core skills

Trigonometry

3 lesson sections

27Core skills

Quadratic equations

6 lesson sections

28Core skills

Volumes and areas of irregular shapes and solids

2 lesson sections

29Core skills

Trip graphs

2 lesson sections

30Core skills

Statistics

3 lesson sections

31Core skills

Using and abusing statistical information

5 lesson sections

32Core skills

Areas of composite shapes

2 lesson sections

33Core skills

Volumes of composite solid shapes

2 lesson sections

34Core skills

Working with errors and measurement

4 lesson sections

35Core skills

Equations using box stories

2 lesson sections

36Intermediate

Water flow graphs

1 lesson section

37Intermediate

Finding polynomial relationships

1 lesson section

38Intermediate

Linear programming

2 lesson sections

39Intermediate

Lines of best fit

2 lesson sections

40Intermediate

More set theory

2 lesson sections

41Intermediate

More probability

6 lesson sections

42Intermediate

Circle geometry

1 lesson section

43Intermediate

Similar figures and geometric constructions

3 lesson sections

44Intermediate

Locus and loci – paths things travel

4 lesson sections

45Intermediate

Three-dimensional trigonometry problems

1 lesson section

46Intermediate

Latitude and longitude

2 lesson sections

47Intermediate

Proportional or direct relationships

7 lesson sections

48Intermediate

Inverse relationships

4 lesson sections

49Intermediate

Exponential graphs

3 lesson sections

50Intermediate

Matrices

4 lesson sections

51Intermediate

Vectors

4 lesson sections

52Intermediate

Logic

5 lesson sections

53Intermediate

Box and whisker plots

1 lesson section

54Intermediate

Quadratic equations

7 lesson sections

55Intermediate

Turning recurring decimals into fractions

1 lesson section

56Intermediate

Logarithms

3 lesson sections

57Intermediate

Rates of change

1 lesson section

58Advanced

Derivatives

4 lesson sections

59Advanced

Solving polynomial equations

2 lesson sections

60Advanced

More triangles

4 lesson sections

61Advanced

The unit circle

2 lesson sections

62Advanced

Finance and interest

5 lesson sections

63Advanced

More simultaneous equations

1 lesson section

64Advanced

Integration

7 lesson sections

65Advanced

Numerical integration methods

2 lesson sections

66Advanced

Probability

5 lesson sections

67Advanced

Solving dy/dx=ky

1 lesson section

68Advanced

Hypothesis testing

8 lesson sections

69Advanced

Plotting graphs

5 lesson sections

70Study skills

General tips for maths tests

1 lesson section

Written like a good teacher explains it

Less jargon. More worked examples.

Math-Mate is an online edition of a complete school textbook. Every lesson is available free, with explanations you can follow at your own pace.