• Mathematics Standard
  • Year 12

Rates and Ratios

approx. 10 hrs

9 topics

20 concepts

Enrol in Rates and Ratios to gain proficiency and confidence in solving related practical problems.

Available in


The principal focus of this learning program is the use of rates and ratios to solve problems in practical contexts. This includes the interpretation of scale drawings, exploring the energy consumption and rating of household products and conducting comparisons of fuel consumption statistics. We will help students develop proficiency when working with fluency problems involving rates and ratios. This will enable students to confidently solve related practical problems.

Topics & Concepts We Cover

This learning program is made up of the following 9 topics, broken down into 20 concepts.

  • Converting rates 2 concepts

    1. Convert a rate to different units

    2. Use the unitary method to find an average or simplified rate

  • Working with speed 1 concept

    1. Finding the average speed given distance and time

  • Best buys 1 concept

    1. Calculate 'best buys' by comparing price per unit

  • Heart rate problems 1 concept

    1. Solve problems involving heart rates

  • Energy rate problems 1 concept

    1. Use units of energy to solve problems involving the consumption of electricity

  • Fuel consumption rate problems 1 concept

    1. Calculate fuel consumption costs for a car

  • Ratios 8 concepts

    1. Simplify ratios that require conversion of units

    2. Simplify ratios involving fractions

    3. Scale drawing - determine the scale factor

    4. Write ratios using notation

    5. Equivalent ratios

    6. Simplify ratios

    7. Divide a quantity in a given ratio

    8. Scale drawing - convert scale distance to actual distance and vice versa

  • Plans and Elevations 2 concepts

    1. Interpret elevation views, including drawing different views

    2. Interpret house or building plans, including dimensions and common floor plan symbols and abbreviations

  • Perimeter, Area and Volume of land 3 concepts

    1. Calculate the volume of rainfall over an area using scaled images including application of trapezoidal rule where appropriate

    2. Calculate perimeter or area of a section of land using scaled images

    3. Use the Trapezoidal rule to solve a variety of practical problems

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 Rates and Ratios


  • 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 be in contact to match you with one of our top tutors and book your first session

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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