# High School Math Review, Tutorials and Problems

Each of our high school math tutorials and math review has worked examples and math problems for you try (with solutions). So if you need help with your math homework or with one of our printable high school math worksheets then this is a good place to start. This a great study site for high school and college students. Parents, too, can use these free resources and problems to help your child learn math.

### A note about year levels

Each tutorial is given a year level that it is applicable to. As we're all in different countries the year level corresponds to the number of years at school. So, for example, a tutorial for Year 11 is for students in their 11th year of school.
Math reviews for earlier or later years may still be suitable for you.

## Number and Basic Numeracy Tutorials & Review

• Order of Operations
In a math calculation the order you do the operations (add, subtract, multiply, divide and brackets) is important.
This tutorial is suitable for students in Year 7 to 9.
• Directed Numbers
Directed numbers are signed numbers i.e. numbers with a positive or plus sign (+) in front of them or a negative or minus sign (-) in front of them  e.g.  +6, -2, +7 etc.  All these whole numbers (and 0) grouped together are called integers.
How do you add, subtract, multiply and divide directed numbers? View the tutorial.
This tutorial is suitable for students in Year 9 or 10.

## Fractions Tutorials & Review

• An Introduction to Fractions
What are fractions? How do you express a diagram as a fraction? What are the parts of a fraction called?
This tutorial is suitable for students in Year 8 or 9.
• Equivalent Fractions
What are equivalent fractions, improper fractions and mixed numbers? How to simplify a fraction.
This tutorial is suitable for students in Year 9.
• Fractions, Decimals & Percentages
How to convert fractions to decimals and percentages.
This tutorial is suitable for students in Year 9.
• Ratios
What are ratios and how to simplify them.
This tutorial is suitable for students in Year 9.

## Geometry Math Review and Tutorials

• Angles & Straight Lines
An introduction to some basic geometry principles - the sum of angles on a straight line, angles around a point and vertically opposite angles.
This tutorial is suitable for students in Year 9.
• Angles & Parallel Lines
New defintions - corresponding angles, alternate angle and co-interior angles.
This tutorial is suitable for students in Year 9.
• Angles & Triangles
The angles inside and outside triangles have some special rules. Learn about the sum of the angles inside a triangle, exterior angles and special rules for equilateral and isosceles triangles.
This tutorial is suitable for students in Year 9.
• Angles & Polygons
Rules for the interior and exterior angles of polygons. And rules for special polygons like squares and kites.
This tutorial is suitable for students in Year 10.
• Angles & Arcs
More angle rules - this time for angles on an arc (or part of a circle).
This tutorial is suitable for students in Year 11.
• Tangents to a Circle

A tangent is a straight line touching one point on the circumference of a circle.

Special angle rules are created with tangents.
This tutorial is suitable for students in Year 11.
Put a quadrilateral inside a circle and you have a cyclic quadrilateral with special rules for interior and exterior angles.
This tutorial is suitable for students in Year 11.
• Pythagoras' Theorem
Named after Greek Mathematician, Pythagoras, this theorem is about the relation amongst the three sides of a right angle triangle.
So if you know the length of two sides of a right angle triangle you can caculate the length of the other side. This has some wonderful practical applications.
This tutorial is suitable for students in Year 10 or 11.
• Transformation Geometry 1 - Translation
What is translation and how to write a translation in vector form.
This tutorial is suitable for students in Year 10.
• Transformation Geometry 2 - Rotation
What is rotation of a shape?
This tutorial is suitable for students in Year 10.

## Trigonometry Review and Problems

• Trigometric Ratios
We can use Pythagoras' Theorem (see above) to calculate the length of an unknown side in a right-angled triangle when we are given information about the lengths of 2 other sides.
However, if we are given information about an angle (other than the 90 degrees) and one side and need to calculate the length of another side then we use the trig ratios.
This first tutorial takes you through naming the sides of a triangle and an introduction to the trig ratios.
This tutorial is suitable for students in Year 10 or 11.
• Calculating sides using the trigometric ratios.
We can use trig ratios to calulate the length of a side on a triangle if we know the length of one side and the size of one angle.
You will need a scientific calculator for this tutorial
This tutorial is suitable for students in Year 11 or 12.
• Calculating angles using the trigometric ratios.
OK, so probably saw this coming. If you know the length of the two sides of a right-angle triangle then you can caculate the size of the other angles inside the triangle. Nifty huh? We're really getting to know stuff about right-angle triangles.
You will need a scientific calculator for this tutorial
This tutorial is suitable for students in Year 11 or 12.

## Calculus Tutorial, Review and Problems

• Introduction to Differentiation
Definitions, worked examples and exercises with solutions. Your first step to calculus.
This tutorial is suitable for students in Year 12.
• Differentiation of Negative Indices & Rational Powers
You should review the differentiation of positive powers first (above) as negative indices are managed in the same way but you need to take care with the signs.
This tutorial is suitable for students in Year 12.
• Applications of Differentiation
Using derivatives to find the grandient of a tangent and normal of straight line graphs.
This tutorial is suitable for students in Year 12 or 13.
• Introduction to Integration
Sometimes called antidifferentiation, integration is the process of finding the definite or indefinite integral of a function.
This tutorial is suitable for students in Year 12.