US 32406 | Complete reference

Alignment, checks and limits

A short summary followed by the item-level mapping used in the assessment panels.

No cut score is claimed. Use the evidence diagnostically and item by item.

No NZQA endorsement is implied. This is independently authored practice material.

Practitioner review is invited. No current teacher of this standard has yet reviewed the package.

Purpose and basis

One checkable US 32406 example

The sampling frame uses the current unit standard, the republished March 2026 assessment specification, the Numeracy Learning Matrix, Unpacking Numeracy, and every English US 32406 paper and schedule published for 2025 and 2026 at the time of review.

The form contains 34 original items in five everyday contexts: 13 assigned to Outcome 1, 13 to Outcome 2 and eight to Outcome 3. It uses 21 numeric, five multiple-choice and eight extended responses.

Outcome 1 is used when selecting or formulating an approach is principal. Outcome 2 is used when the approach is substantially established and correct execution is principal. Outcome 3 requires a conclusion, relevant evidence and a correct connection between them.

Intended demand and response design

Included and excluded

Included

Whole numbers, decimals, fractions and percentages
Rates, ratios, a linear rule and metric conversion
Area, volume, maps, transformations and a cube net
Data displays, simple chance and evidence-based explanations

Excluded

Reverse percentages
Non-linear or step functions
Bearings and circle measurement
Sample-to-population inference and theoretical probability experiments

Checks completed

What was checked

Every item solved in two passes against its response constraints
Outcome and content coverage, units, rounding, graph values, option uniqueness and wording checked
Assessment, schedule, worksheets and browser built from one canonical content file
PDFs rendered and inspected; browser behaviour checked at phone width and in print
A cold model attempt used only the earlier paper; the two Brief 05 visual items retain deterministic geometry checks and still await a separate cold attempt

Differences from the NZQA platform

A functional comparison

NZQA CAA

This independent version

Setting Digital-first, supervised and completed in one session.

Setting Untimed practice with no supervisor controls.

Responses Outcome 1 and 2 items are automatically marked; Outcome 3 is panel-marked.

Responses Nothing is marked, submitted, saved or scored.

Accessibility Polly text-to-speech and approved assistive tools are supported.

Accessibility Optional local browser speech is offered when available; it is not Polly.

Interface Live delivery includes platform controls and may randomise options.

Interface One item at a time, previous/next navigation, neutral response presence and optional item references.

Per-item reference

Item mapping

Open only the records you want to inspect. Each record separates the content ideas from the task wording, so the mapping reads as data rather than a broken sentence.

Question 1

Community library

1(a)Outcome 1 | Numeric

Content ideas: Operations on numbers, Measurement
Task: How many minutes is the booking?
Published precedent: 2025 Term 2 time calculations and 2025 Term 3 finishing-time items.

1(b)Outcome 1 | Numeric

Content ideas: Measurement, Spatial properties
Task: What is the greatest number of cushions that fit on the floor?
Published precedent: 2025 Term 3 circle-packing item; this version makes the scale drawing, rather than area division, decisive.

1(c)Outcome 2 | Numeric

Content ideas: Measurement, Spatial properties
Task: What is the real floor area of the room, in square metres?
Published precedent: 2025 Term 2 map-scale and volume items; 2026 Term 2 map-scale and rectangle-area items.

1(d)Outcome 2 | Numeric

Content ideas: Operations on numbers, Measurement
Task: What is the estimated total mass of the books, in kilograms?
Published precedent: 2025 Term 2 mass item and 2026 Term 2 price-by-mass items.

1(e)Outcome 3 | Extended

Content ideas: Statistics and data
Task: Do you agree with the report? Use at least three months and numbers from the graph to explain your answer.
Published precedent: 2025 Term 2 and Term 3 time-series explanations; 2026 Term 2 honey-price trend item.

1(f)Outcome 1 | Multiple choice

Content ideas: Mathematical relationships
Task: Which rule gives the book capacity from the number of shelves?
Published precedent: 2026 Term 2 shoe-size rule item and recent linear table/graph items.

1(g)Outcome 3 | Extended

Content ideas: Operations on numbers, Measurement
Task: Using the average mass as an estimate, can all 48 books be moved in one load? Explain your answer.
Published precedent: 2025 and 2026 reports emphasise realistic measurement and checking answers in context.

Question 2

Weekend market

2(a)Outcome 2 | Numeric

Content ideas: Operations on numbers, Measurement
Task: How much does the bag cost?
Published precedent: 2025 Term 2 supermarket rate items and 2026 Term 2 price-by-mass items.

2(b)Outcome 1 | Numeric

Content ideas: Operations on numbers
Task: How many cups of concentrate are needed for 7.5 cups of water?
Published precedent: 2026 Term 2 ratio-scaling item and report emphasis on scalars.

2(c)Outcome 3 | Extended

Content ideas: Operations on numbers, Measurement
Task: Is the sign correct? Use the weights and prices to explain your answer.
Published precedent: 2025 Term 2 cheese unit-rate explanation.

2(d)Outcome 1 | Numeric

Content ideas: Operations on numbers, Measurement
Task: What area of ground sheet is needed, in square metres?
Published precedent: 2026 Term 2 rectangle-area and percentage item; this is not an excluded reverse-percentage problem.

2(e)Outcome 2 | Numeric

Content ideas: Probability, Operations on numbers
Task: What is the chance of choosing a green token? Give your answer as a percentage.
Published precedent: 2025 Term 2 song-probability item and 2026 Term 2 probability items.

2(f)Outcome 3 | Extended

Content ideas: Spatial properties
Task: Is the vendor correct? Explain using the direction of the arrow and the position of the dot.
Published precedent: 2025 Term 2 transformation items and 2025 Term 3 symmetry items.

Question 3

Household water

3(a)Outcome 2 | Numeric

Content ideas: Measurement
Task: How many litres does the tank hold when full?
Published precedent: 2025 Term 2 and Term 3 cuboid-volume and metric-conversion items.

3(b)Outcome 1 | Numeric

Content ideas: Operations on numbers, Measurement
Task: How many litres of water are used altogether?
Published precedent: 2026 Term 2 multi-step rate and capacity items.

3(c)Outcome 2 | Numeric

Content ideas: Operations on numbers
Task: What is the percentage reduction in water used per flush? Round to the nearest whole percent.
Published precedent: 2025 and 2026 percentage-discount items; the original amount is supplied.

3(d)Outcome 3 | Extended

Content ideas: Statistics and data
Task: Is the notice correct? Use values from the chart to explain your answer.
Published precedent: 2025 and 2026 evidence-based graph-claim items.

3(e)Outcome 1 | Numeric

Content ideas: Mathematical relationships
Task: How many litres are left after 6 days?
Published precedent: Recent linear relationship items in tables, graphs and word rules.

3(f)Outcome 3 | Extended

Content ideas: Operations on numbers, Measurement
Task: Is there enough stored water for all 7 days? Show how you worked out your answer.
Published precedent: 2026 Term 2 drink-sufficiency explanation and report emphasis on sensible quantities.

3(g)Outcome 2 | Numeric

Content ideas: Measurement, Operations on numbers
Task: How many more litres are needed to fill this tank?
Published precedent: 2025 and 2026 measuring-scale items; this item adds reading between graduations before a subtraction.

Question 4

Coastal walk

4(a)Outcome 2 | Multiple choice

Content ideas: Location and navigation
Task: Which letter is at coordinate (4, 3)?
Published precedent: 2025 Term 2 latitude/longitude items and 2026 Term 2 grid-location item.

4(b)Outcome 1 | Numeric

Content ideas: Measurement, Location and navigation
Task: What is the real route distance, in kilometres?
Published precedent: 2025 Term 2 and 2026 Term 2 map-scale items.

4(c)Outcome 1 | Numeric

Content ideas: Operations on numbers, Measurement
Task: How many minutes does the walking take?
Published precedent: 2025 Term 3 speed items and 2026 Term 2 speed-conversion item.

4(d)Outcome 2 | Multiple choice

Content ideas: Location and navigation
Task: Which direction best describes the path from B to C?
Published precedent: 2025 Term 3 map-direction item; bearings are not used.

4(e)Outcome 3 | Extended

Content ideas: Probability, Operations on numbers
Task: Do you agree? Explain using a fraction, decimal or percentage.
Published precedent: 2026 Term 2 comparison of rain probabilities in unlike forms.

4(f)Outcome 2 | Numeric

Content ideas: Operations on numbers, Measurement
Task: What time does the group finish?
Published precedent: 2025 Term 2 and Term 3 elapsed-time items.

4(g)Outcome 2 | Numeric

Content ideas: Measurement, Operations on numbers
Task: About how many years separate the shell marker and the fish marker?
Published precedent: 2025 and 2026 measuring-scale items; this item requires measurement from an unequal-layer diagram before a metric conversion and rate calculation.

Question 5

Beach clean-up

5(a)Outcome 2 | Numeric

Content ideas: Operations on numbers
Task: How many plastic items are collected?
Published precedent: 2025 and 2026 fraction and part-whole ratio items.

5(b)Outcome 1 | Multiple choice

Content ideas: Statistics and data
Task: Which statement is correct?
Published precedent: 2025 report emphasis on dot plots, median, spread and graph interpretation.

5(c)Outcome 2 | Numeric

Content ideas: Operations on numbers, Measurement
Task: What is the total mass of the sacks, in grams?
Published precedent: 2025 report emphasis on decimals and metric conversion.

5(d)Outcome 3 | Extended

Content ideas: Statistics and data, Operations on numbers
Task: Is the organiser correct? Use numbers from the chart to explain your answer.
Published precedent: 2025 and 2026 category-frequency claims and Outcome 3 exemplars.

5(e)Outcome 1 | Numeric

Content ideas: Probability, Statistics and data
Task: Based on these results, what is the estimated chance that the next event is cancelled? Give your answer as a percentage.
Published precedent: 2026 Term 2 probability from historical frequencies.

5(f)Outcome 1 | Multiple choice

Content ideas: Spatial properties
Task: Which net will fold to make the cube?
Published precedent: 2025 Term 2 net item and report emphasis on anticipating net viability.

5(g)Outcome 1 | Numeric

Content ideas: Measurement
Task: About how long is the driftwood, in centimetres?
Published precedent: Recent estimation and measurement items; this item adds comparison with a familiar reference object.