This is a public file, not an access-controlled assessment store. Introduce the check prompt on its day, save independent first work before discussing answers, and use fresh local numbers if prior access matters. These are formative teaching checks, not QCAA Unit 1–2 assessment instruments, grades or legal/financial guidance. Record whether an access support or a content hint was provided. All card values are fictional apart from the cited general GST rule, and the tax tasks explicitly stipulate fully taxable supplies.
Daily worked results
| Day | Core mathematics and boundary | If a learner is stuck |
|---|---|---|
| 11 | $65,520/52=$1,260 per model week; /26=$2,520 per fortnight; /12=$5,460 per average month. Reverse products recover annual amount. Gross is not net. |
Keep numerator annual dollars and change only the number of periods; label each quotient before comparing. |
| 12 | Hourly 5×32=$160; 20 accepted props 20×9=$180, $20 more in the stipulated example; 15 props $135. No legal/real work conclusion. |
Match each count to its per unit before multiplying. |
| 13 | 9n>160; n>17.777...; first whole count 18, paying $162; 17 pays $153. |
Test adjacent whole numbers and the strict comparison. |
| 14 | Commission at sales 800/1200/1600 is $36/$54/$72; totals $216/$234/$252. Base is eligible sales, not $180 or total pay. |
Estimate 5% before 4.5%, then attach the $180 base separately. |
| 15 | See Check A below; first response remains separate from feedback. | Reteach only the weak period/base/units/limit dimension and recheck with unseen numbers. |
| 16 | Fixed $680, variable essential $220, discretionary $110, total $1,010, unassigned $250; check $1,010+$250=$1,260. Model gross is stipulated as available, not a real net budget. |
Sort categories before arithmetic; leave food essential. |
| 17 | Excluding GST $84: $8.40 GST, $92.40 inclusive. Including GST $121: $110 exclusive, $11 GST. All tasks assume fully taxable item; real classification not decided. |
Rebuild exclusive ×1.10=inclusive; divide by 1.10 to reverse. |
| 18 | Simple interest $2,400×0.035×2=$168, final $2,568; one year $84, final $2,484. The original principal stays the base. |
Draw equal annual interest strips attached to the original P. |
| 19 | Week A/B/C unassigned $250/$205/$245; all meet model ≥$200. If B food alone rises $10, balance $195, now below threshold. |
Freeze all but one input, recalculate and reverse-check. |
| 20 | See Check B below; this is public fresh practice, not a QCAA exam. | Select one next task targeting base, time/rate or scope. |
Check A · worked first response
$70,200/52=$1,350gross per model week;/26=$2,700gross per fortnight;/12=$5,850gross per average month. Reverse check$1,350×52=$70,200,$2,700×26=$70,200,$5,850×12=$70,200.5%×$900=0.05×900=$45commission; one-shift gross model$190+$45=$235. Eligible sales ($900), not the $190 base or $235 total, is percentage base. Estimate 10% of 900 is $90, so 5% is half of that.$235 for one fictional shiftand$5,850 per average monthare different time bases; the number of shifts, hours, deductions and contract terms are unknown. Learners should not say which real role is better.- Accept reverse multiplication for salary and a 10%-halving estimate or subtraction check for commission, with appropriate units.
Response branch: If a learner divides annual by 12 for “weekly”, label periods and count 52; if $190×5% appears, point to “eligible sales” in the source. If the shift total is directly compared with monthly gross, ask “how many shifts in that month?” and keep the missing answer unknown. Do not change the first-response record after coaching.
Check B · worked first response
$135×0.10=$13.50GST on the stated exclusive base; inclusive$135+$13.50=$148.50. Reverse$135×1.10=$148.50.- Inclusive
$99÷1.10=$90exclusive; GST$99−$90=$9. Check$90+$9=$99; for a fully taxable supply this is also 1/11 of $99. Do not take 10% of $99 as the included component. I=Pin=$1,800×0.04×1.5=$108; model final$1,800+$108=$1,908. The rate is per year,n=1.5 years, and principal stays fixed because the problem says simple interest. No compounding, fees or tax are part of this model.- Accept: “The GST arithmetic assumes a fully taxable supply; an actual item's GST treatment needs an authoritative check” and “The 4% simple-interest rule is stipulated fiction, not a real return or recommendation.”
Response branch: If 10% of the inclusive $99 is used, construct exclusive base×1.10 and test the learner's candidate. If 1.5 is treated as months, underline “years” and annotate the rate unit. If they compound, compare $1,800×0.04 each year to any calculation on a new balance. If they make a real product/tax claim, restore the stipulated condition. Preserve first work.
Criterion view, not a grade
Record separately: expression and percentage base, rate/period units, verification, contextual limit, and independence with access tools. A learner may demonstrate these through writing, large print, raised tokens, calculator/spreadsheet with visible formula, AAC or exact-word transcript. These two short checks do not assess all Unit 1 objectives or satisfy school formal assessment requirements. No live class efficacy was observed in the desk run.