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Year 11 / Essential Mathematics / Term 1 / Weeks 01 02

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Two fresh formative checks · public learner copyYear 11 Essential Maths · T1 W1–2 · Learner checks

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The teacher-targeted worked key is also public by URL. These are fresh practice cases relative to Cards A–G, not secure exams, grades or QCAA/school Unit 1 assessment instruments. A teacher should collect the first independent attempt before feedback and use new locally chosen values if prior access matters. Large text, exact read-aloud, tactile pieces, calculator, AAC/sign, typing and exact-word scribing are available; record a mathematical hint separately from an access support. All data are invented.

Check A · Day 5 · order, simplest form and part of all

A fictional community notice board contains 9 triangle markers and 15 circle markers. They are not people or actual site stock.

  1. Write triangle:circle and circle:triangle in their original and simplest whole-number forms. Label the order in words.
  2. Find the total marker count. What fraction of all markers are triangles? What fraction are circles? Simplify each fraction.
  3. Explain why triangle:circle is not the same comparison as triangle:all. Give an addition or multiplication check.

Check B · Day 10 · fixed total and drawing scale

A made-up event pack has 55 paper badges to split into two types, plain:striped = 4:7. A separate invented drawing says 1 cm on the plan represents 250 cm on a model wall. This is not a real site plan.

  1. Find the whole-number count of plain and striped badges. Show the number of equal ratio parts, the value of one part and a total/ratio check.
  2. State the plan:wall ratio with matching centimetre units. Find the model-wall distance for a 6 cm plan line, in centimetres and metres.
  3. A different model-wall distance is 10 m. How long would it be on this plan in centimetres? Check one scale direction by reversing your operation.
  4. State one reason these paper calculations cannot certify a real event pack or building plan.