# Year 10 Maths Max Series Vol 1: Quadratic Expressions & Equations Revision Workbook

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## This Year 10 Maths Revision Workbook for Quadratic Expressions and Equations is compliant with the NESA NSW Mathematics Stage 5.3 Syllabus.

Content in the Year 10 Maths Max SeriesTM Volume 1 covers the topics ‘Quadratic Expressions and Equations’ from the ‘Number & Algebra’ strand of the NSW Mathematics Stage 5.2 and 5.3 Syllabus.

 Strand Topics Content Number and Algebra Quadratic Expressions Add and subtract algebraic fractions. Expand binomial products. Factorise quadratic expressions. Algebraic Techniques Special Products Factorising monic and non-monic trinomials Algebraic Techniques Null factor theorem Solving Quadratic equations using factorisation, completing the square, and the Quadratic Formula The Discriminant Solving Quadratic Equations involving fractions and square roots Reducible Quadratic Expressions Simultaneous Quadratic Equations Problem solving using Quadratic Expressions

For detailed information including the contents of the topics, please visit the NESA website.

## This book is not your ordinary textbook

Are you constantly surprised to find that your school exam questions differ from the textbook questions you spent hours perfecting? Do you find those practice papers your teacher provided for you didn’t quite prepare you for the exam?

Textbooks provide course content in a way that helps students gain a sound knowledge and understanding of the fundamental concepts.

But this is insufficient to achieve exam success at school as students are required to:

• Demonstrate extensive knowledge and skills
• Apply Maths concepts to unfamiliar questions/situations
• Use sophisticated multi-step reasoning
• Exhibit excellent problem solving skills

## This is the last step before your exam

The Year 10 Maths Max SeriesTM  Volume 1 is designed for exam preparation for quadratic expressions and equations, as well as providing students with the opportunity to further develop and practice the fundamental concepts. When it is used correctly, students will gain a significant advantage for their school exams.

The Year 10 Maths Max SeriesTM work by:

• Exposing students to exam-style questions to reduce the chance of encountering unfamiliar problems.
• Effectively preparing students for school exams by bridging the knowledge and skills gap between their textbooks and exam questions.
• Improving students’ problem solving skills by sharing the techniques not published in textbooks.

## How to use this book

Students should only use this book after gaining a sound knowledge and understanding of the key concepts of the Year 10 Mathematics course content of quadratic expressions and equations. This revision workbook will effectively prepare students for school exams when the following steps are followed closely.

## Step 1 Review theory content

At the beginning of each topic, a concise summary of the key concepts for quadratic expressions and equations is provided. Be sure to read and understand it before attempting any questions. ## Step 2 Study the examples and their solutions to gain clarity

The examples expose students to various exam-style questions. The step-by-step worked solutions for each example provides clear multi-step reasoning to enhance your understanding and provide a structure for maximising marks in exams.

## Step 3 Attempt practice questions to improve problem solving skills

Questions are organised in a progressive manner to facilitate independent learning.

If you have difficulty, the ‘NOTES TO STUDENTS’ section provides you with hints to encourage problem solving without referring to the solution.

The ‘LEVEL’ of difficulty is a useful tool to assess your ability to solve new, unseen and difficult problems.

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