What is in NAPLAN numeracy?
NAPLAN Numeracy assesses mathematics through questions requiring knowledge and reasoning. Current content strands include number, algebra, measurement, space, statistics and probability. People often search for “NAPLAN maths”; Numeracy is the official domain name.
For learning, separate understanding the situation from carrying out the calculation. A learner who misreads “how many more” needs a different follow-up from one who understands the comparison but makes a subtraction error.
Official guidance: NAP: What’s in the tests
Original numeracy questions with worked answers
These examples cover a few different ideas. They are not a full paper or a measure of a learner’s year-level proficiency. Attempt the working before opening the answer.
Choose, calculate, check
A bus has 36 passengers. At the next stop, 8 get off and 5 get on. How many passengers are now on the bus?
Show answer and explanation
33 passengers.
Start with 36. Subtract the 8 who leave, then add the 5 who arrive: 36 − 8 + 5 = 33. There are 3 fewer passengers overall, which provides a quick check.
A rectangular garden is 8 m long and 5 m wide. What is its area?
Show answer and explanation
40 square metres (40 m²).
Area counts the square units covering the surface: 8 × 5 = 40. The perimeter would be 26 m, but the question asks for area, so the answer uses square metres.
The values are 4, 7, 7, 8 and 9. What is the median?
Show answer and explanation
7.
The numbers are already in order. With five values, the third value is the middle one. That is 7. The median is not found by adding and dividing; that procedure gives the mean.
A bag has 3 red counters and 2 blue counters. One counter is selected at random. What is the probability it is blue?
Show answer and explanation
2/5.
There are five counters altogether and two favourable outcomes. Assuming each counter is equally likely to be selected, the probability is 2 out of 5.
Calculator and non-calculator practice
In official Year 7 and Year 9 Numeracy, students complete a non-calculator section before gaining access to an online calculator. Once they move on, they cannot return to the non-calculator section.
Use non-calculator activities to check arithmetic and number relationships. In a calculator activity, ask the learner to write the intended calculation first and estimate the size of the result. This can reveal a misplaced decimal or a wrong operation even when every key was pressed correctly.
Official guidance: NAP: How tailored tests work
A practical routine for word problems
Do not choose an operation from a single keyword. “More” can appear in different relationships. Reading the whole situation and representing it is more reliable than memorising that one word always means addition.
- Identify what the answer must describe: an amount, a difference, a length, a rate or something else.
- Mark the relevant information and its units.
- Represent the relationship with a sketch, table, equation or written calculation.
- Calculate and include units where needed.
- Check whether the result is reasonable in the original situation.
Useful mistakes to discuss
After modelling the idea, change the numbers or context. Success on the exact same question can reflect memory; a different example gives a better indication that the method is understood.
| What happened | What to revisit |
|---|---|
| Area and perimeter were swapped | Draw the boundary and the covered surface; compare units. |
| A percentage used the wrong base amount | Label what each percentage is a fraction of before calculating. |
| Mean and median were confused | Compare adding and dividing with finding the middle ordered value. |
| A correct calculation answered a different question | Restate the required answer in words before doing the working. |
Find numeracy practice by year
Each year guide includes additional original numeracy questions with explanations. Begin with the relevant year, then use the work to identify a narrower learning focus.
In TestHero, choose Numeracy and the learner’s year in the practice library. Full papers require access. Independent practice scores do not convert to official NAPLAN scale scores.
Frequently asked questions
Is NAPLAN maths the same as numeracy?
“NAPLAN maths” is a common search phrase for the Numeracy domain. It involves using mathematics knowledge and reasoning in a range of questions.
Do these maths examples include working?
Yes. Each answer explains a method and, where useful, a check or common confusion. They are short original practice examples.
Should we always use a calculator during practice?
Match the tool to the purpose. Practise arithmetic without it when checking number skills, and use it deliberately when working on calculator tasks. Official Year 7 and 9 Numeracy has separate non-calculator and calculator sections.
Check the official guidance.
Reviewed by TestHero on . Official facts are drawn from the sources below. Examples, prompts and learning suggestions are original TestHero material.
TestHero is an independent practice product. Practice results are not official NAPLAN scores. Check the school and current official guidance for administration details.