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Who are these resources for? For you of course! And other students and teachers. Jump to the Year level you want by choosing from the menu or just scroll down.
Student Resources			Teacher Resources
	Resources for .... Fractals Year 7 students Year 8 students Year 9 students Year 10 students Year 11 students Year 12 students			Resources for ... Spreadsheets Grafit Graph Paper
Students can access worksheets, online tests, examination papers, topic summaries and more.			Teachers will find lesson plans, group activity exercises and computer-based teaching tools.

Resources are arranged in year groups, from Year 7 to Year 12. Resources for students Fractals   Fractals A fractal is infinitely detailed, with parts of itself similar to all of itself. This page has many animations illustrating the structure of some well known self-similar fractals. There are many worksheets here to help you explore interesting patterns and relationships. Year 7 Resources   Multiplication Tables Written by Jim Hubbard, this handy spreadsheet is useful for practising times tables.   Whole Numbers Quiz   40 questions to test knowledge and skills involving whole numbers.   Expressions Quiz Complete this table of expressions to further your understanding.   Roman Numerals Use this spreadsheet to test your knowledge of Roman Numerals.   Year 7 Pentominoes Worksheet #1 Pentominoes are made by joining squares together. How many different pentominoes are there? Answers included.   Year 7 Pentominoes Worksheet #2 Pentominoes make great jigsaw puzzles. Use them to construct rectangles and squares. Pentominoes set included along with answers.   Year 7 Nets of Cubes Worksheet It's easy to make a cube, but in how many different ways can it be done? Answers included. Year 8 Resources   Year 8 Specimen Test   This 60 minute test examines your understanding of decimals, percentages and Pythagoras' Theorem.   Geometry Jigsaw Puzzle Try putting together the solution to a geometrical problem. The steps are given but they need to be put into order.   Using Pythagoras' Theorem   This 3 page worksheet has some interesting and challenging problems involving the application of Pythagoras' Theorem. Year 9 Resources   The Straight Line Use this spreadsheet to learn about straight lines and their equations. Try the worksheets too.   Year 9 Trigonometry Worksheet This worksheet contains problems on trigonometric ratios and right-angled trigonometry. Year 10 Resources Y10: Advanced Mathematics   Curves and Transformations This tutorial uses animated graphs to help you learn to sketch different types of curves. (Recommended to Year 11 students too!)   Understanding simple surds. A worksheet on square roots. Practise your skills!   Year 11 Prelim Maths Preparation Worksheet #1 Written by a very experienced teacher (not Dr T!), this worksheet is designed to help prepare you for the Year 11 Mathematics course. More preparation worksheets follow, but be warned. They get harder!   Year 11 Prelim Maths Preparation Worksheet #2   Year 11 Prelim Maths Preparation Worksheet #3   Year 11 Prelim Maths Preparation Worksheet #4   Year 11 Prelim Maths Preparation Worksheet #5 Y10: Intermediate Mathematics The Parabola: y = ax2 + b Learn about this special parabola. Worksheet included. Year 11 Resources Y11: Preliminary Mathematics   Simplifying Expressions Online Worksheet This is one of a series of interactive online worksheets - this one has close to 100 expressions for you to simplify. Simply point your mouse to check your answers. GREAT for Year 10 Advanced students too!   Evaluating Expressions Online Worksheet Evaluate a variety of expressions and quickly check your answers with your mouse.   Factorising Online Worksheet This interactive worksheet has over 180 graded expressions for you to factorise. Just point your mouse and up will pop the solution. GREAT for Year 10 Advanced students too!   Simplifying Algebraic Fractions Worksheet Plenty of algebraic fractions here for you to simplfy. Just point your mouse to see the answer.   Multiplying & Dividing Algebraic Fractions Worksheet Plenty of exercises here - let your mouse check the answers.   Adding & Subtracting Algebraic Fractions Worksheet The more practice, the better you will be.   Linear Equations Worksheet Over 50 linear equations to solve. Try them.   Equations with Absolute Values Choose from 72 different exercises to complete - the answers are a mouse point away.   Quadratic Equations High school Maths students solve more quadratic equations than everyone else in the world combined.   Inequations with Absolute Values Inequations involving absolute values.   Linear Inequations   Online Calculator Quiz 10 questions to test your skills with a calculator.   Functions and Graphs Online Test 10 multiple choice questions about functions and graphs, marked online. Aim to get 10 out of 10.   Limits of Various Functions Online Test 10 multiple choice questions about limits of various functions, including infinite limits of rational functions, marked online. Can you get 10 out of 10?   Function Domains Online Test Test your understanding of function domains with these 10 multiple choice questions.   Function Ranges Online Test 10 multiple choice online questions about the range of real functions.   Year 11 Prelim Maths Preparation Worksheet #1 Written by a very experienced teacher (not Dr T!), this is the first of a series of worksheets designed to prepare you for the Year 11 Mathematics course. If you didn't attempt these worksheets in Year 10, do so now!   Year 11 Prelim Maths Preparation Worksheet #2   Year 11 Prelim Maths Preparation Worksheet #3   Year 11 Prelim Maths Preparation Worksheet #4   Year 11 Prelim Maths Preparation Worksheet #5   Trigonometry: Expressions and Identities - Worksheet   Trigonometry: Equations - Worksheet   Area of a Triangle Puzzle. Why do elephants wear ripple-soled tennis shoes? Answer the riddle by solving for the area of triangles given two sides and their included angle.   Sine and Cosine Rules Puzzle. What has four wheels and flies? A puzzle involving the sine and cosine rules for a triangle.   Properties of Quadrilaterals and Tests for Special Quadrilaterals Summary A handy one page summary listing the important properties and tests for quadrilaterals.   Properties of Quadrilaterals Worked Example A worked example involving properties of a parallelogram.   Properties of Quadrilaterals Worksheet A worksheet of exercises to test your understanding of the properties of various quadrilaterals.   Tests for Quadrilaterals Worked Example A worked example involving a defining property of a parallelogram.   Tests for Quadrilaterals Here are 28 different quadrilaterals for you to identify and name. Thought required.   Tests for Quadrilaterals Worksheet 1 This is the print version of the afore-mentioned test.   Tests for Quadrilaterals Worksheet 2 A worksheet of exercises involving tests for quadrilaterals.   The Quadratic Polynomial - Worksheet A worksheet with questions covering quadratic inequalities, the quadratic discriminant, positive and negative definite quadratics, quadratic identities, sum and product of quadratic roots and more. Y11: Preliminary Mathematics Extension 1   Online Test about limits involving 10 multiple choice questions based on this special limit, marked online. Aim to get 10 out of 10.   Graphs Online Test Multiple choice questions to test your recognition of polynomial graphs and other graphs with vertical and/or horizontal asymptotes. Try it.   Maths Assessment Task (Specimen Test 1) A useful 45 minute test to practise basic preliminary skills and topics such as algebra and surds, equations and geometry.   Maths Assessment Task (Specimen Test 2) A 45 minute test to practise basic preliminary skills and topics such as algebra, geometry, functions and graphs (with solutions - see next resource)   Maths Assessment Task (Specimen Test 2) Solutions   What do you call a veterinarian with laryngitis? The first of three circle geometry puzzles. This one will test your understanding of simple angle properties of a circle.   Where did the king put his armies? You can solve this puzzle by applying your knowledge and understanding of angle properties of a circle.   Where are whales weighed? You will need to use chord and tangent results to solve this puzzle.   Induction - Worksheet   Harder Induction - Worksheet   Trigonometry Summary A two page summary of trigonometry formulae covered in the Preliminary Mathematics Extension course.   Revision of Prelim Extension 1 Course - Worksheet #1 This is the first in a series of revision worksheets - a necessary must if you want to practise and test your understanding of the key areas in the Preliminary Extension course.   Revision of Prelim Extension 1 Course - Worksheet #2   Revision of Prelim Extension 1 Course - Worksheet #3 Year 12 Resources Y12: HSC Mathematics   NEW   Differentiation and Integration of Exponential Functions Answers provided. Hints given.   Motion in a Straight Line Online Test 10 multiple choice questions about motion in straight line, to test your understanding of concepts including displacement, distance travelled, velocity, speed and acceleration. The test is marked online - aim to get 10 out of 10.   Trigonometric Graphs Online Test Sketch 15 trig graphs and check your answers online.   NEW   Trapezoidal Rule and Simpson's Rule - exposition. A great way to approximate an integral numerically (taken with permission from a newly published text by Rohap Nalim).   NEW   The Second Derivative - Worksheet 1. The second derivative can give you lots of information about the geometrical properties of functions.   NEW   The Second Derivative - Worksheet 2. Use this worksheet to develop your understanding of the second derivative of a function and the nature of stationary points.   Integration - Worksheet Y12: HSC Mathematics Extension 1   The Binomial Theorem - Worksheet   Integration - Worksheet   HSC Assessment Task (Specimen Test 2) A 2 hour test. Y12: HSC Mathematics Extension 2   Harder Induction - Worksheet   Complex Numbers - Worksheet #1 Use this worksheet to review your knowledge and understanding of the arithmetic of complex numbers and solving quadratic equations.   Complex Numbers - Worksheet #2 This worksheet covers the geometric representation of complex numbers as points or vectors.   Complex Numbers - Worksheet #3 This worksheet poses problems involving powers and roots of complex numbers.   Complex Numbers - Worksheet #4 This worksheet contains a collection of locus problems involving curves and regions.   Graphs - Worksheet #1 The first of five worksheets covering curve sketching.   Graphs - Worksheet #2   Graphs - Worksheet #3   Graphs - Worksheet #4   Graphs - Worksheet #5   Graphs - Past HSC Problems A small selection of past HSC questions on Graphs.   Graphs Test 10 multiple choice questions about graphs, marked online.   HSC Trial paper Can you afford not to do this paper?

Resources for teachers   NEW   The Number Plane Laboratory This interactive spreadsheet, developed by Dr T, will help Year 7 and/or Year 8 students develop an understanding of the fundamentals of Coordinate Geometry. Included are worksheets on plotting points, graphing lines and creating and examining different shapes.   The Straight Line This spreadsheet graphs the straight line y = mx + b for values of m and b between -5 and +5. Two worksheets are included.   The Parabola: y = ax2 + b This spreadsheet will test students' knowledge of this special parabola which is symmetric about the y axis. Worksheet included.   The Parabola: y = ax2 + bx + c Students can use this spreadsheet to learn about the changes that occur in the parabola when the coefficients a, b or c change in value. The spreadsheet also calculates the value of the quadratic discriminant. Students can conduct experiments to test what happens to the parabolic graph when the discriminant changes in sign. Worksheet included.   The Parabola: y = ax2 + bx + c Similar to the above spreadsheet but with better animations. (Note: the spreadsheet contains macros.)   Multiplication Tables Written by Jim Hubbard, this handy spreadsheet is useful for practising times tables.   Whole Numbers Quiz (Year 7) 40 questions to test knowledge and skills involving whole numbers.   Expressions Quiz (Year 7) Students evaluate expressions by substitution.   Roman Numerals Use this spreadsheet to test your students' knowledge of Roman Numerals.   HSC School Assessment Moderation A spreadsheet that simulates the HSC School Assessment Moderation Process. (Note: This spreadsheet contains macros.) Miscellaneous   Year 8 Geometry Jigsaw Puzzle Students work in groups to solve a problem in geometry. The steps are given but they need to be put into order. Graphing Programme A useful graphing programme called GRAFIT! - free to schools Download this colourful DOS based programme to quickly graph a variety of functions. Graph Paper A program to quickly create and print graph paper. Download this free program to create a wide variety of graph paper, ready for you to print.

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Produced by Dr T Last updated: 28th December, 2005