This teacher-targeted file is publicly accessible by URL. The learner checks are fresh relative to practice but not secure exams, QCAA instruments, unit judgments or investment/financial advice. Retain the learner's first response and record text access, response mode, calculator, content hint and time separately. For each response, make three separate observations: source/perspective choice, arithmetic with base and unit, bounded public correction. Use clear in this response / partial or content-hinted / not yet evidenced as a planning note, not a QCAA standard or combined subject mark.
Daily worked models and next actions
| Day | Worked source-bound result | Next move if evidence is thin |
|---|---|---|
| 21 | Regular 7×$26=$182; extra rate 1.5×$26=$39/hour, so 2 extra hours $78; once-only allowance $15; gross model total $275. The cropped hand and two late hours cannot establish whole-display authorship or take-home pay. |
Separate the extra-hour rate from the whole shift; ask which claim the hand image can actually evidence. |
| 22 | Regular 4×$30=$120; extra rate 1.25×$30=$37.50/hour, so 3 extra hours $112.50; one $10 allowance; gross $242.50. Adding $10 three times would give $262.50, unsupported. |
Give the allowance its own per shift unit card; do not multiply it by hours. |
| 23 | Gap $70−$56=$14; mark-up $14÷$56×100=25%; gross price margin $14÷$70×100=20%. It is not 25% of a $70 sale, and other expenses prevent net-profit inference. |
Keep COST and SALE denominator labels under the same $14 gap. |
| 24 | Rise $120−$96=$24; $24÷$96=25% upward. Return drop $24÷$120=20%; a 25% drop from $120 would be $90. The cropped cards do not explain why the price changed or prove an access effect. |
Put each starting base directly below its percentage; test the wrong claim numerically. |
| 25 | Receipts 40×$8=$320; listed costs $125+$45+$100=$270; known remainder $50 before any other costs. The cropped hands do not allocate $320 or $50 to anyone. |
Distinguish gross receipts, costs and unknown allocation. Do not infer a charity or real worker outcome. |
| 26 | First cut $60×20%=$12, later label $48. To return, $12÷$48=25% increase. A 20% increase on $48 is $9.60, giving $57.60, not $60. The crop hides the original base. |
Have the learner speak both starting prices before saying a percentage. |
| 27 | Stipulated AUD $1 = USD $0.70: AUD $240 ×0.70 = USD $168; USD $84 ÷0.70 = AUD $120; reverse check AUD $120 ×0.70 = USD $84. A matching dollar sign/typography does not make amounts equal. |
Attach currency to each number; reverse-check the arrow. No live quote or fee is known. |
| 28 | Stipulated one-year dividend $0.90/share ×40 shares=$36; model yield $0.90÷$30×100=3%. One model year cannot promise future dividends or a return. ASIC MoneySmart confirms real dividends are not guaranteed. |
Distinguish per-share dollars from portfolio dollars and a one-year model from a promise. |
| 29 | Tinpath P/E $36÷$3=12; Hearthtile $48÷$4=12. Both ratios match in this toy table. Shorter share-price bar alone cannot rank actual investment value or future risk. |
Divide price by earnings per share for each; label P/E as a ratio, never a percent. |
| 30 | Soundwheel P/E $20÷$2=10 as a ratio; one-year model dividend yield $0.60÷$20×100=3%. A ring with ten parts cannot make 10 mean 10% dividend, and neither measure guarantees cash. |
Sort PRICE, EARNINGS and DIVIDEND before calculating; ask which pair of units each quotient uses. |
Check A worked response · paper weather-vane cards
The fictional Weather Play editor addresses adult makers; exactly, quarter of each sale and “the picture proves” present a price-gap calculation as an allocation. The image shows paper cards, not any transfer of money. Dollar gap $60 − $45 = $15. Mark-up on cost is $15 ÷ $45 ×100 = 33⅓% (about 33.33%). Gross price margin on sale price is $15 ÷ $60 ×100 = 25%. A cautious correction: “This fictional set has a $45 stated production cost and $60 stated sale price, a $15 gap before unknown other expenses. That is about 33.33% mark-up on cost or 25% of the sale price; we have no evidence of how the gap is allocated.”
Next: If a learner gives 25% for both, ask them to put each denominator below the $15. If they call $15 net profit, ask which other costs are known (none). If they cite the picture as an actual sale record, return to its invented description.
Check B worked response · Nookline's one-panel number
The fictional Nookline editor addresses imagined readers. A single oversized 10 and guarantees invite a shortcut from ratio to annual cash percent. P/E is $25 ÷ $2.50 = 10, a ratio, not 10%. One-year model dividend yield is $0.50 ÷ $25 ×100 = 2%. These are distinct numerators and denominators; the source does not supply future dividends or a guarantee. A correction: “On the stated one-year figures, Nookline's P/E is 10 and its stipulated dividend yield is 2%; neither value predicts a payment in another year or recommends the share.”
Next: If a learner uses annual earnings as dividend, sort the $2.50 EPS and $0.50 dividend/share cards. If 10 is reported as a percent, restore the ratio label and calculate yield on the correct base. Record source access separately from content help.
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