• Mathematics Advanced
  • Year 10

Surds and Indices

approx. 8 hrs

5 topics

20 concepts

Gain an advanced knowledge and understanding of Surds and Indices and move forward into senior Mathematics with confidence.

Available in


Students studying this course learn about more complex indices and study advanced algebraic techniques. In addition, we show them how to apply rules of Surds and Indices to perform a range of algebraically challenging questions, including solving exponential equations. The content in this program aligns with the Australian curriculum.

Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 20 concepts.

  • Rational and Irrational Numbers 2 concepts

    1. Converting recurring decimals into simple fractions

    2. Classification of rational and irrational numbers

  • Simplifying Surds 5 concepts

    1. Multiplying surds

    2. Dividing surds

    3. Simplifying surds

    4. Adding surds

    5. Subtracting surds

  • Binomial Products with Surds 3 concepts

    1. Expand and simplify the square of a binomial with surds

    2. Expand and simplify sum by difference with surds

    3. Expand and simplify binomial products with surds

  • Review Index Laws 8 concepts

    1. Translate expressions in surd form to expressions in index form and vice versa

    2. Negative indices

    3. Fractional indices

    4. Simplify algebraic expressions by applying index laws

    5. Index law for further power

    6. The zero index

    7. Apply index laws for dividing

    8. Apply index laws for multiplying

  • Exponential Equations 2 concepts

    1. Applying exponential rules to growth and decay problems

    2. Solving exponential equations by equating the power

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Surds and Indices


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

Simply pick a time that works for you

Add your payment details securely online

We'll book in your first session and match you to an expert tutor

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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