Mathematics Ratio & Proportionusually ages 10–11

Ratio Problems

Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

How to tell they’ve got it

Tick these off as you see them — no test required.

If the ratio of red to blue beads is 3:5 and there are 15 blue beads, find the number of red beads
Use multiplication facts to find the missing value: 'For every 2 apples there are 5 oranges; if there are 20 oranges, how many apples?'
Explain the multiplicative relationship between two quantities in a ratio context

🖨 Print this page to keep the checklist — it prints beautifully.

Try this together

If a recipe uses 3 eggs for every 200g of flour, can your child work out how many eggs would be needed for 600g of flour?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Bar Models for Ratiosages 9–12Solving relative-sizes problems is most reliably scaffolded by drawing a bar model to set up the relationship

Multiplicative Comparisonages 9–10Ratio reasoning builds on multiplicative comparison from Y5

Percentages (age 9+)ages 9–11Solving relative sizes problems requires 'ratio', 'proportion', and 'relative size' as understood terms

Multiplying fractions (age 10+)ages 10–11Ratio reasoning connects to fraction multiplication

Ratio Problemsthis skill · ages 10–11

Unlocks

Scale and similar shapesages 10–11Scale factor problems are a specific application of ratio/proportion

Understanding fractionsages 10–11Unequal sharing is ratio reasoning in context

Number Pattern Relationshipsages 10–11Relationships between corresponding terms connect to proportional reasoning

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M6N05medium confidenceYear 6 · Number

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

AC9M5N05medium confidenceYear 5 · Number

solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

AC9M5A02medium confidenceYear 5 · Algebra

find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations

NSW syllabus codes & stages only

MA3-MR-01medium confidenceMathematics K-10 · Stage 3

MA2-MR-02medium confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M5A02medium confidenceMathematics · Level 5 · Algebra strand

VC2M5A01low confidenceMathematics · Level 5 · Algebra strand

VC2M5N07low confidenceMathematics · Level 5 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Calculating Percentagesages 10–11 Scale and similar shapesages 10–11 Understanding fractionsages 10–11 Bar Models for Ratiosages 9–12

All Ratio & Proportion skills →