Two fresh formative checks · learner copy · publicYear 11 Maths · T1 W3–4 · Learner checks

These check cases are new relative to Cards A–G, but the teacher-targeted key is also publicly accessible. They are practice evidence, not secure exams or QCAA assessment instruments. If prior access matters, a teacher should change the invented numbers/context. Save a first independent response before discussion. Usual large text, exact read-aloud, calculator, tactile quantity cards, AAC/sign, typed work and exact-word scribing are available; record any mathematical hint separately from access. All wages, prices and returns are fictional. No real employment, tax or financial decision follows.

Check A · Day 15 · different payment periods

A made-up adult design role states a gross annual model amount of $70,200, converted for this exercise using 52 weeks, 26 fortnights and 12 months. Separately, a fictional one-shift brief offers $190 base plus 5% of $900 eligible sales. No deduction, contract, minimum, cap or actual work condition is supplied.

1. Find the model gross weekly, fortnightly and monthly salary amounts. Name the period attached to each.
2. Find the commission dollars and the base-plus-commission shift total. Identify the percentage base.
3. Explain why comparing the one-shift total directly with a monthly salary amount would be misleading. Name one missing real-work condition.
4. Show one independent arithmetic check or estimate for each situation.

Check B · Day 20 · fully taxable print and simple interest

Assume a fictional print supply is fully taxable at the stated 10% GST practice rate. Its listed price is $135 excluding GST. A separate invented fully taxable item has a listed price of $99 including GST. Independently, a fictional simple-interest calculation has principal $1,800, annual rate 4%, term 1.5 years, with no compounding, fees or tax. None of these are real offers or tax classifications.

1. Find GST in dollars and the inclusive price of the $135 item. Show which amount is the percentage base.
2. For the $99 inclusive item, find the exclusive base and GST component; check they add back to $99.
3. Use I=Pin to find the interest and final model amount on $1,800 for 1.5 years. State the time unit and one assumption.
4. Write two short source-bound cautions: one about using the GST exercise on a real product, and one about mistaking a simple-interest model for an actual return.