# Two new public formative checks · learner copy

The [teacher-targeted worked key](teacher/KEY-AND-NEXT.md) 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.
