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Year 5 maths in Queensland, in plain English.

All 24 things the Australian Curriculum sets out for Year 5 maths, what each one means at the kitchen table, and simple ways to help at home.

Updated 19 October 2026. Written by the Study Compass team from official sources, listed at the end.

Queensland state schools teach the Australian Curriculum, and Version 9 is the one in classrooms now.[2] Year 5 maths has 24 content descriptions, the specific things teachers are asked to teach. They sit in six strands: Number, Algebra, Measurement, Space, Statistics and Probability.[1]

This page puts all 24 in plain English. If you've seen a code like AC9M5N05 on a report card or a worksheet, you'll find it below. The "M5" part means maths, Year 5.

The big ideas in Year 5

  • Decimals and factors. Ordering decimals with three or more places, and breaking numbers into factors.
  • Fractions and percentages. Adding and subtracting fractions with related denominators, and linking common percentages to fractions and decimals.
  • Bigger calculations. Multiplying by two-digit numbers, dividing with remainders, and checking with estimates.
  • Measuring the real world. Perimeter and area, 24-hour time, and measuring angles in degrees.
  • Data and chance. Line graphs, small investigations, and repeated chance experiments.

All 24 Year 5 maths topics, explained

The descriptions below are in our words. ACARA publishes the official wording.[1]

Number

CodeWhat your child learns
AC9M5N01Read, compare and order decimals with more than two decimal places, including numbers bigger than one, and place them on a number line.
AC9M5N02Write whole numbers as products of their factors, find multiples, and test whether one number divides evenly into another.
AC9M5N03Compare and order fractions with the same or related denominators, including mixed numbers, and show them on a number line.
AC9M5N04Understand 100% as the whole, and connect common percentages to fractions and decimals (50% is a half is 0.5).
AC9M5N05Add and subtract fractions with the same or related denominators.
AC9M5N06Multiply large numbers by one- and two-digit numbers, choosing an efficient method.
AC9M5N07Divide, and decide what a remainder means in the problem: round up, round down, or write it as a fraction or decimal.
AC9M5N08Use estimation to check whether an answer, including a money answer, makes sense.
AC9M5N09Use maths to model and solve real problems, including money problems, and explain the answer.
AC9M5N10Follow and write step-by-step algorithms, with decisions, to explore factors, multiples and divisibility.

Algebra

CodeWhat your child learns
AC9M5A01Use the fact that multiplication and division undo each other to build fact families (6 × 7 = 42, so 42 ÷ 7 = 6).
AC9M5A02Find the missing number in multiplication and division equations, such as 8 × ? = 96.

Measurement

CodeWhat your child learns
AC9M5M01Choose sensible metric units for length, mass and capacity, using smaller units or mixed units for accuracy.
AC9M5M02Solve practical problems about the perimeter and area of regular and irregular shapes.
AC9M5M03Compare 12-hour and 24-hour time and convert between them.
AC9M5M04Estimate, draw and measure angles in degrees with a protractor, and name angles by their size.

Space

CodeWhat your child learns
AC9M5SP01Match 3D objects to their nets, and build objects from nets.
AC9M5SP02Use a grid with coordinates, plus direction words, to describe where things are and how they move.
AC9M5SP03Slide, flip and turn shapes, and say what changes and what stays the same.

Statistics

CodeWhat your child learns
AC9M5ST01Collect, check and display data using software such as spreadsheets, and describe it by its most common value (mode) and its shape.
AC9M5ST02Read line graphs that show change over time and draw conclusions from them.
AC9M5ST03Plan and run a small statistical investigation, choose a display and report what they found.

Probability

CodeWhat your child learns
AC9M5P01List all possible outcomes of a chance experiment and tell equally likely outcomes from ones that aren't.
AC9M5P02Repeat chance experiments, count how often each result comes up, and use that to compare how likely each one is.

Where children often get stuck

  • "Longer decimals are bigger." Plenty of Year 5s think 0.45 is bigger than 0.5 because it has more digits. Money sorts it out fast: 45 cents is less than 50 cents.
  • Related denominators. Adding a half and a quarter means turning the half into two quarters first. A child who writes 1/2 + 1/4 = 2/6 needs to see it drawn.
  • Remainders. 26 children with 4 to a car needs 7 cars, not 6.5. Year 5 asks children to decide what the remainder means.
  • Area and perimeter. Perimeter is the fence around the yard. Area is the grass inside it.

How to help at home

  • Use money for decimals. Compare prices at the shops, add up a short list, work out the change.
  • Practise times tables as fact families. 6 × 8 = 48 also gives 48 ÷ 8 = 6. That's AC9M5A01, and it makes division much easier.
  • Spot percentages. "50% off" and "25% off" signs link percentages to halves and quarters.
  • Read a timetable. Train and bus timetables use 24-hour time.
  • Measure something real. A garden bed that needs mulch makes area and perimeter make sense quickly.

What comes next

Year 5 leads straight into Year 6. Fractions with related denominators become fractions with any denominators. Linking percentages to fractions becomes finding a percentage of an amount, like a discount. Counting squares for area becomes the formula for the area of a rectangle.[1] Our Year 6 maths guide covers what follows.

Lessons mapped to the curriculum

Every Study Compass maths lesson carries its Australian Curriculum code. A short starting check finds where your child is, then the plan fills Year 5 gaps first and moves on when they're ready.

Start free

Sources

  1. ACARA, Australian Curriculum: Mathematics F–6, Version 9.0 (Year 5 content descriptions). https://v9.australiancurriculum.edu.au/content/dam/en/curriculum/ac-version-9/downloads/mathematics/mathematics-curriculum-content-f-6-v9.docx (accessed 19 October 2026).
  2. Queensland Department of Education, Australian Curriculum implementation. https://education.qld.gov.au/curriculums/school-curriculum/Pages/australianCurriculumImplementation.aspx (accessed 19 October 2026).

Curriculum documents get updated. Always check the official source before making a decision. Study Compass isn't affiliated with or endorsed by ACARA, QCAA or the Queensland Department of Education.