Year 5 maths · explained

PHASE 2 · YEARS 4–6YEAR 5ALL YEARS

Where Year 5 fits

Year 5, the middle of Phase 2, is the year the number line grows in both directions: up to a million, and — for the first time — below zero. Percentages arrive too. Remember the golden rule of the refreshed curriculum: it's progression-based — children move on when they're ready, not on a birthday. Treat year levels as a guide only.

What children learn in Year 5 Number

Children read and order whole numbers to 1,000,000, find factors and factor pairs, and learn the standard written algorithms for multiplication and division — including division with remainders. Decimals deepen to hundredths, and percentages are introduced as fractions out of 100, converting 10%, 25% and 50% to fractions and decimals. Negative numbers appear — on the number line, in temperatures, in savings and debt. Money moves to proper decimal notation ($4.65), and proportional reasoning starts: comparing quantities using fractions, decimals and percentages.

Five ways to help at home 🏡

1. Talk temperatures in winter

'It was −2 overnight and 11 by lunch — how far did it climb?' Negative numbers were invented for NZ frosts.

2. Hunt factors

'How many ways can 24 people stand in equal rows?' Factor pairs, disguised as logistics.

3. Spot percentages everywhere

25% off, 50% extra free, battery at 80%. Ask the same two questions each time: what's the fraction? what's it worth here?

4. Give pocket money in decimals

$4.65 is place value, hundredths and money notation in one go. Let them keep the running total.

5. Say big numbers out loud

Populations, stadium crowds, YouTube views: 'What's 348,000 — how many thousands is that?' A million is only friendly if it gets visited often.

Practise Year 5 with a mystery

Every Year 5 mystery on Kiwi123 practises one focus skill from this year, inside a whodunit — so the maths practice feels like detective work, not drill. Browse the Year 5 mysteries → Or see everything in Phase 2 (Years 4–6).