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Year 11 / Mathematics / Term 1 / Weeks 05 06

Development draft · local review needed

Two new public formative checks · learner copyYear 11 Maths · T1 W5–6 · Learner checks

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The teacher-targeted worked key is public by URL. These cases are fresh compared with Cards H–N, but are not secure exams or school/QCAA Unit 1–2 assessment instruments. A teacher should collect independent first work before feedback and create new local numbers if prior access matters. Use calculator, exact read-aloud, large text, tactile rate strips, typed work, AAC/sign or an exact-word scribe as usual. Record content hints separately from access support. All cases are fictional, with no real pay, tax, currency or investment advice.

Check A · Day 25 · payment layers and two percentage bases

An invented adult festival role has 7 regular paid hours at $33 per hour, 2 additional paid hours at 1.5 times the base hourly rate, and one fixed $17 model allowance. Separately, a made-up print item has $88 stated unit cost and $110 stated selling price, with other expenses and tax omitted.

  1. Find the regular amount, additional-hours rate and amount, allowance and full gross model shift total. Show the unit attached to each rate.
  2. Find the print item's dollar price gap. Calculate its mark-up percentage on cost and margin percentage on selling price. State both bases.
  3. Give one reverse or estimation check for each situation, then name one real-work or real-business factor the model cannot establish.

Check B · Day 30 · direction, dividend and ratio

An invented exercise rate says AUD $1 = USD $0.72, with no fees or spread; it is not a live quote. A separate fictional company has $32 stated share price, $1.28 annual dividend per share, and $2.50 annual earnings per share. The fictional portfolio contains 45 shares.

  1. Convert AUD $175 to USD. Convert USD $54 to AUD. Show the operation and units in each direction and reverse-check one result.
  2. Calculate annual dividend dollars for 45 shares and dividend yield as a percentage of the stated share price.
  3. Calculate the price-to-earnings ratio, label it as a ratio, and explain why these numbers alone cannot recommend buying the share.
  4. Identify one real-world condition missing from the exchange model and one missing from the share model.