# Year 7 maths · fresh learner checks

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

1. **Fraction:** Work out `2/3+1/4` of the **same whole**. Show equivalent parts, give an exact simplest answer, and say whether the result should be less or greater than one.
2. **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.
3. **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

1. **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.
2. **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.
3. **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](https://creativecommons.org/licenses/by/4.0/).