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Focused preparation · Year 7 numeracy

Make equal groups. Find the fraction.

Start with six checks and three worked examples. Then practise 40 original questions as support fades toward independent work.

This is one untimed curriculum foundation. It is not an official item set, a complete NAPLAN test or a score prediction.

Choose the unit-fractions goalBrowse Year 7 mathematics

The lesson, full practice and four A4 student/tutor editions require a saved Year 7 goal and current learning access. Tutor answers require a linked tutor or admin role.

Start with one equal group

The whole is 18 counters. Share them equally into six groups.

One sixth is 18 ÷ 6 = 3 counters. Two sixths are two of those groups: 3 + 3 = 6. The whole remains 18.

How the practice builds

  1. 1. Find your starting point. Six questions show whether the whole and equal groups are clear.
  2. 2. Follow the models. See how to find a part, rebuild a whole and find what remains.
  3. 3. Work together, then alone. Six guided and eight supported questions lead to twenty independent problems.
  4. 4. Come back later. Six retrieval questions revisit the idea after three, seven and fourteen days.

The route in the learning tree

Equal sharing leads directly to unit fractions. The saved route includes 8 earlier skills you can revisit when needed.

  1. Earlier foundationCounts forwards and backwards to 20Kindergarten
  2. Earlier foundationReads and writes numerals to 10Kindergarten
  3. Earlier foundationCompares two groups to say which has more or fewerKindergarten
  4. Earlier foundationCounts to 100 by ones and tensYears 1–2
  5. Earlier foundationCombines and separates small groups to model adding and taking awayKindergarten
  6. Earlier foundationSkip counts by 2s, 5s and 10sYears 1–2
  7. Earlier foundationRecalls addition facts to 20Years 1–2
  8. Earlier foundationRecalls multiplication facts for 2s, 5s and 10sYears 3–4
  9. Direct foundationModels division as equal sharing and groupingYears 3–4
  10. Target conceptRecognises and names unit fractions of shapes and collectionsYears 5–6

What this foundation covers

The National Assessment Program’s Year 7 numeracy descriptions include finding fractions of quantities. Its guidance says most questions draw on prior years of schooling.

This route uses the NSW Stage 3 unit-fractions lesson as a prior-learning foundation. It covers equal groups, a selected fraction, the remaining quantity and recovering the whole.

Sources checked 5 October 2026: Year 7 proficiency descriptions, what is in NAPLAN tests and the NSW mathematics course overview. TutorForAll authored the exercises; the assessment provider has not endorsed them.