Open each set only on its named day, before that day's later-practice routes. The values and situations are invented. You may have a neutral read-aloud, screen reader, large-print or tactile blank aid, sign/AAC, pointing, speech, typing, drawing or someone writing your exact words. Show a method and a check. The adult records any mathematical hint separately from access.
Day 15 · New rational operations
- Fraction: Work out
2/3+1/4of the same whole. Show equivalent parts, give an exact simplest answer, and say whether the result should be less or greater than one. - Decimal division: A fictional strip is 7.2 units long and cut into equal 0.3-unit lengths. How many complete pieces? Write the division and a multiplication check. Do not confuse the piece count with the length unit.
- Percentage: A fictional panel has 80 equal cells. What is 15% of the panel, in cells? Name 80 as the whole and show a method using 10% and 5% or an equivalent calculation.
Day 20 · New prime products and roots
- Prime leaves: Write 108 as a product of prime numbers in exponent notation. Show a factor tree, ordered prime list or explained division, and multiply back to 108.
- Square link: Is 196 a perfect square? If so, give its positive square root and an exact multiplication check. Then write 196 as a product of prime powers.
- Check a claim: A fictional note says
75=3²×5². Evaluate the right-hand side, decide whether the claim is true, and write the correct prime-power product for 75.
These formative checks identify a next teaching move. They are not a full Year 7 judgement. Original SubjectNest check texts © NeuroForgeIO Pty Ltd 2026, CC BY 4.0.