# Learner copy — fictional rates, packs and a project fund

**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

- One paid base hour: **$24**.
- One paid Saturday hour: **1.25 × the base hourly rate**.
- Under one imaginary contract, an extra paid hour after **seven base hours on the same shift** is **1.50 × the base hourly rate**.
- Weekday shift A: **five** paid base hours.
- Saturday shift B: **four** paid Saturday hours.
- Extended shift C: **seven** paid base hours and **two** extra paid hours under this imaginary rule.
- Travel, breaks, deductions and actual role conditions have not been supplied.

**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

- **Garden:** Six seedling pots cost $15; ten cost $23. Find both unit costs and the lower stated outlay for exactly six pots. Whole packs only; no returns.
- **Sports hall:** Three hours at an invented $18 per hour. Find the total and a what-if total after the hourly rate rises 10%.
- **Transport:** An invented day pass is $18; individual rides are $4.80 each. Compare the stated outlay for four rides and for two rides. Route coverage and eligibility are unknown.

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.

**Rights:** Original fictional data and prompts © NeuroForgeIO Pty Ltd 2026, SubjectNest, [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/); credit, link and indicate changes.