NAPLAN practice · Year 9 numeracy

Year 9 NAPLAN numeracy practice test

20 free NAPLAN-style questions across every strand, marked as soon as you finish, with a worked solution for every question. The official demonstration tests don’t show answers. This one does.

NAPLAN 202710 to 22 March 2027

Numeracy test65 minutes, online

CalculatorAfter a short non-calculator section

This practice test20 questions, about 30 minutes

Start the practice test

Answer as many as you can, then press Mark my test at the bottom. Do questions 1 to 5 without a calculator, as in the real test.

Non-calculator section: no calculator for these questions
Question 1Number
The distance from Earth to the Sun is approximately $150\,000\,000$ km. Which of the following expresses this distance in scientific notation?
$1.5 \times 10^7$ km
$15 \times 10^8$ km
$15 \times 10^7$ km
$1.5 \times 10^8$ km
Question 2Number
A school canteen sold 80 meat pies on Monday. On Tuesday, sales increased by 15%. How many meat pies were sold on Tuesday?
meat pies
Question 3Measurement
A circular garden in a Sydney park has a radius of 5 m. What is the area of the garden? Use $\pi = 3.14$ .
$62.8$ m²
$78.5$ m²
$15.7$ m²
$31.4$ m²
Question 4Space
A right-angled triangle has two shorter sides of length 6 cm and 8 cm. What is the length of the hypotenuse in centimetres?
cm
Question 5Statistics and probability
Five students recorded how many laps they swam at training: 4, 7, 6, 9, and 4. What is the mean number of laps?
9
5
7
6
Calculator allowed
Question 6Number
Lachlan and Priya share a prize of $360 in the ratio 5 : 4. How many dollars does Lachlan receive?
$
Question 7Algebra
Solve for $x$ : $3x + 7 = 28$
$x = 11$
$x = 7$
$x = 12$
$x = 9$
Question 8Measurement
A cylindrical water tank has a radius of 3 m and a height of 4 m. What is the volume of the tank in cubic metres? Use $\pi = 3.14$ .
$113.04 \text{ m}^3$
$150.72 \text{ m}^3$
$37.68 \text{ m}^3$
$75.36 \text{ m}^3$
Question 9Space
A straight line passes through the points $(0, 3)$ and $(4, 11)$ . Which of the following is the equation of the line?
$y = 4x + 3$
$y = 2x + 3$
$y = 2x + 4$
$y = 3x + 3$
Question 10Number
Amelia invests $2500 in a savings account that pays simple interest at a rate of 4% per year. How much interest in dollars will she earn after 3 years?
$
Question 11Number
Simplify $\dfrac{x^8}{x^3}$ .
$x^2$
$x^{11}$
$x^{24}$
$x^5$
Question 12Algebra
Factorise fully: $6m^2 + 9m$ .
$6m(m + 3)$
$3(2m^2 + 3m)$
$3m(2m + 3)$
$m(6m + 9)$
Question 13Statistics and probability
A Year 9 group of 40 students was surveyed about whether they play sport and whether they play a musical instrument. The results are shown in the table below.

Plays sport Does not play sport Total
Plays instrument 8 12 20
Does not play instrument 14 6 20
Total 22 18 40

A student is chosen at random. What is the probability that the student plays sport given that they play an instrument?
$\dfrac{1}{5}$
$\dfrac{11}{20}$
$\dfrac{2}{5}$
$\dfrac{8}{40}$
Question 14Measurement
A swimming pool is in the shape of a rectangular prism. It is 25 m long, 10 m wide, and 2 m deep. How many cubic metres of water does the pool hold when full?
m³
Question 15Number
Mia drives from Brisbane to the Sunshine Coast, a distance of 108 km, in 1 hour and 12 minutes. What is her average speed in kilometres per hour?
km/h
Question 16Algebra
Expand and simplify: $(x + 5)(x - 3)$
$x^2 + 8x - 15$
$x^2 + 2x + 15$
$x^2 + 2x - 15$
$x^2 - 15$
Question 17Number
A mountain bike originally priced at $840 is marked down by 35%. What is the sale price of the bike in dollars?
$
Question 18Space
Two triangles are similar. The sides of the smaller triangle are 4 cm, 6 cm, and 9 cm. The longest side of the larger triangle is 27 cm. What is the perimeter of the larger triangle in centimetres?
63 cm
57 cm
45 cm
51 cm
Question 19Statistics and probability
A bag contains 4 red marbles and 6 blue marbles. A marble is drawn at random, its colour recorded, and then it is returned to the bag. A second marble is then drawn. What is the probability that both marbles drawn are red?
$\dfrac{4}{25}$
$\dfrac{12}{25}$
$\dfrac{8}{45}$
$\dfrac{2}{5}$
Question 20Measurement
A school hall floor is made up of a rectangle and a semicircle attached to one end. The rectangle is 20 m long and 10 m wide. The semicircle has a diameter of 10 m (the same as the width of the rectangle). What is the total area of the floor in square metres? Use $\pi = 3.14$ .
m²

	Plays sport	Does not play sport	Total
Plays instrument	8	12	20
Does not play instrument	14	6	20
Total	22	18	40

0 of 20 answered

These are Tuterly’s own NAPLAN-style questions, not official NAPLAN questions. NAPLAN is run by ACARA. For the official practice tests, see the NAPLAN public demonstration site.

About the test

What the Year 9 numeracy test looks like.

When: NAPLAN 2027 runs from 10 to 22 March 2027. Schools choose the exact days within the national test window.
How long: the Year 9 numeracy test is 65 minutes. The test starts with a short non-calculator section. For the rest of the test an online calculator is available.
What’s tested: maths from the Australian Curriculum across number, algebra, measurement, space, statistics and probability.
Question types: multiple choice, typed answers, and on-screen tasks such as drag and drop.
It adapts: everyone starts with the same set of questions, then later sets get easier or harder depending on how they go.
Results: reported against four proficiency levels (Exceeding, Strong, Developing, Needs additional support), in a student report later in the year.

Sources: NAP: key dates, NAP: numeracy, NAP: tailored tests, NAPLAN 2026 information for parents and carers (SCSA WA), NAP: public demonstration site. Checked October 2026.

Getting ready

How to use this practice test.

Do it in one sitting, without help, so the result shows where they really are.
Read every worked solution for the ones marked ✗, then try a similar question a few days later.
Practise by strand. The result breaks down by number, algebra, measurement, space, and statistics and probability, so you know where to spend time.
Practise without a calculator too. The first section of the real test is non-calculator, so keep mental and written methods sharp.

Turn their NAPLAN mistakes into practice.

The Tuterly app is built for Years 7 to 10. Snap any question they got wrong, here or in a school test, and they get the worked solution and fresh questions on the same idea until it’s mastered. Topic check covers every part of a topic before the real thing.

Coming soon on iPhone. Android soon after.

Free to download · 7-day free trial on monthly · Years 7 to 10 maths · On iPhone. Android coming soon

Questions

Year 9 NAPLAN numeracy: questions parents ask

When is the Year 9 NAPLAN numeracy test in 2027?

NAPLAN 2027 runs from 10 to 22 March 2027. Schools choose the exact days within the national test window. Ask your child’s school for their timetable.

How long is the Year 9 numeracy test?

65 minutes. The test starts with a short non-calculator section. For the rest of the test an online calculator is available.

What does the numeracy test cover?

Maths from the Australian Curriculum across number, algebra, measurement, space, statistics and probability. Questions are multiple choice, typed answers and on-screen tasks such as drag and drop.

Is NAPLAN online and does it change as you go?

Yes. Most schools sit NAPLAN online, and the numeracy test is tailored: everyone starts with the same set of questions, and how a student goes decides whether the next sets are easier or harder.

How are NAPLAN results reported?

Results are reported against four proficiency levels: Exceeding, Strong, Developing, Needs additional support. Schools give families an individual student report later in the year.

Is this an official NAPLAN test?

No. These are Tuterly’s own NAPLAN-style practice questions, written to match the style and content of the numeracy test, with a worked solution for each. NAPLAN is run by ACARA, and its public demonstration site has official sample tests (without answers).

Other years: Year 3 numeracy · Year 5 numeracy · Year 7 numeracy