Year 7 maths · explained

PHASE 3 · YEARS 7–8YEAR 7ALL YEARS

Where Year 7 fits

Year 7 opens Phase 3 (Years 7–8) — intermediate maths. Numbers get structure: primes, powers and roots. The number line goes fully negative with integers. And letters start standing for numbers: the first real algebra. 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 7 Number

Children see place value as powers of 10 and use exponent notation, sort numbers into prime and composite, find the HCF and LCM of pairs, use divisibility rules (2, 3, 4, 5, 6, 8, 9, 10), and meet square roots and the √ sign. They add and subtract integers on the number line, and apply the full order of operations. Fractions, decimals and percentages become one toolkit — converting between all three, multiplying a fraction by a whole number, percentage discounts on prices. In algebra, they form and solve one- and two-step equations, check answers by substitution, and collect like terms. Ratio-style proportional reasoning ramps up ahead of Year 8.

Five ways to help at home 🏡

1. Use money and temperature for integers

'You're $5 in credit and spend $8 — where are you now?' Integers make instant sense in bank accounts and frosty mornings.

2. Hunt primes with divisibility rules

'Is 87 prime?' Digits sum to 15, so 3 divides it — case closed. The rules turn big numbers into quick detective work.

3. Treat equations like balance scales

Whatever you do to one side, do to the other. A few spoken puzzles — 'I think of a number, double it, add 3, get 17' — is Year 7 algebra in disguise.

4. Let them run the sale

'Everything 15% off today' — they price five items from the pantry. Discounts are the curriculum's favourite percentage.

5. Ask for the shortcut, not the answer

At this level the question 'how would you work it out?' matters more than the result — strategies are the whole point of Phase 3.

Practise Year 7 with a mystery

Every Year 7 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 7 mysteries → Or see everything in Phase 3 (Years 7–8).