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Year 11 / Term 1 / Weeks 01 02 / Mathematics

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Learner copy — fictional rates, packs and a project fundYear 11 Maths · T1 W1–2 · Learner Cards

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Every price, organisation and work arrangement on this sheet is invented. Use the stated numbers as a maths model. They are not current pay rules, contracts, real offers or advice. You never need to share your own income or household spending. An unlisted cost stays unknown, rather than becoming $0.

Card 1 — Lantern Yard shift model

Try: Find the Saturday and extra hourly rates. Find each stated shift total. Show the rate, number of paid hours and units. What could you not decide about a real job from these numbers?

Card 2 — Paper Loop whole packs

Pack Fictional price for a whole pack Sheets
Small $18.40 8
Large $27.00 12

The imaginary supplier does not split packs or take back unused sheets. Delivery and storage costs are not given.

Try: Calculate each price per sheet. Compare the stated outlay for eight sheets needed today and twenty-four sheets needed today. Count whole packs before choosing. In a separate what-if, raise only the large-pack price by 10% and compare again for twenty-four sheets. Does the same choice win every time? Explain with the requested quantity.

Card 3 — a community project fund

An imaginary project has $480 available for planning. Stated costs are venue $120, access equipment $70 and transport $45. It may buy enough Paper Loop sheets for a twenty-four-sheet display; delivery has not been quoted.

Try: Add the stated fixed costs. Find the unassigned balance before buying sheets, then with either feasible whole-pack route. Check that planned cost + unassigned balance = $480. Which part of a real plan is still missing?

Card 4 — percentage changes

  1. A fictional $80 equipment item is 15% off. Find the dollar discount and new price.
  2. A fictional $45 sign is 20% off. Find both amounts.
  3. A fictional $50 design fee rises 8%. Find the dollar change and new fee.
  4. Test whether taking 10% off the new large-pack price reverses an earlier 10% rise from $27. State which amount each percentage uses as its base.

Choose a later recheck domain

For every task, record given / calculation / units / estimate or check / conclusion with condition. You may write, type or explain an agreed response mode. Your teacher can provide a large-print or text version and may reveal worked visual examples after your first attempt. A calculator or spreadsheet can help; keep the equation and a reasonableness check visible.

Stop before independent checks. The Day 5 and Day 10 cards are supplied separately by your teacher. This sheet has no worked answers.

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