Percentages

The pathway

Placement first. Then six levels, mastered in order.

A short placement quiz finds the level where percentages genuinely starts for your child. From there, each level ends in a mastery quiz, passed before the next level opens.

1. Placement quiz

   Finds the starting level. No assumptions from age or school year.

2. Level 1

   Year 5 standard

   First meeting with percentages: recognising common percentages and linking them to familiar fractions.

   • —Recognise that a percentage is a part of 100
   • —Connect common percentages (50%, 25%, 10%) to their fraction and decimal equivalents

3. Level 2

   Year 6 standard

   Calculating percentages of quantities and moving between fractions, decimals and percentages.

   • —Calculate a percentage of a quantity
   • —Determine percentages of quantities and express one quantity as a percentage of another (NESA MA3-RN-03)
   • —Connect percentages to fractions and decimals
   • —Solve percentage problems in context

4. Level 3

   Year 7 standard

   Percentage increase and decrease, and fluent conversion between fractions, decimals and percentages.

   • —Calculate percentage of a quantity in real contexts
   • —Find percentage increase and decrease
   • —Convert between fractions, decimals and percentages (NESA MA4-RAT-01)
   • —Solve exam-style percentage reasoning problems

5. Level 4

   Year 8 standard

   Financial percentages: profit, loss, discounts and finding the whole from a part.

   • —Find the whole given a percentage of it
   • —Calculate percentage increase and decrease in financial contexts
   • —Calculate profit, loss and discount
   • —Solve multi-step percentage word problems

6. Level 5

   Year 9 standard

   Financial mathematics: simple interest and percentage change with formula application.

   • —Calculate simple interest using the formula
   • —Calculate and interpret percentage change
   • —Apply financial formulas to real-world problems

7. Level 6

   Year 10 standard

   Extended financial applications, combining percentage change and interest across multi-step problems.

   • —Apply simple interest and percentage increase and decrease in extended problems
   • —Solve multi-step financial mathematics problems
   • —Justify choices and interpret results in financial modelling

All topics and levels are aligned to the NSW Mathematics K–10 Syllabus (NESA). Level 1 corresponds to the Year 5 standard and Level 6 to the Year 10 standard, spanning Stages 3 to 5 of the NSW curriculum.