Free · No sign-up · Year 7 · NAPLAN Numeracy · Statistics & probability

Free NAPLAN Numeracy Practice: Statistics & probability — Year 7 (9 Questions, Instant Results)

A single-topic check for Year 7 NAPLAN Numeracy: 9 multiple-choice questions on statistics and probability, selected from 9 items our tutors have checked, marked on the page with explanations. It is one of the 3,261 free practice questions across our whole bank, and there is nothing to sign up for.

Start the quiz ↓   Or take the free 15-minute Skills Check →

✅ Victorian Curriculum aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesNAPLAN Numeracy Year 7 quiz › Statistics & probability

How NAPLAN tests statistics and probability in Year 7

NAPLAN reports a Year 7 result in four proficiency levels, and the difference between Developing and Strong is usually a handful of specific skills. Statistics & probability is one of the areas where our tutors see that gap most often. Use this single-topic quiz to test it directly, then the mixed NAPLAN quiz to see how it holds up alongside everything else.

What statistics and probability covers in Year 7 NAPLAN Numeracy

Before the quiz, here is what the topic means at this level. Year 7 statistics covers mean, median, mode and range, dot plots and stem-and-leaf plots, and describing data. Probability introduces sample spaces, probability as a fraction, decimal or percentage, and comparing experimental results with theoretical expectations.

Every question on this page was written to a specific Victorian Curriculum reference for Year 7 and checked by an RHZ tutor before it could be served.

Where Year 7 students go wrong with statistics and probability

Most errors in statistics and probability are not random. When Year 7 students sit our Skills Check, the same handful of misunderstandings account for the majority of lost marks:

Each of these is fixable in a session or two once it has been named, which is why the results panel below shows the correct answer and an explanation rather than just a score.

What to do if statistics and probability needs work

Three things a parent or student can do this week:

  1. Roll dice 60 times and compare with the theoretical probabilities.
  2. List sample spaces systematically in a table or tree.
  3. Read a stem-and-leaf plot backwards: reconstruct the raw data.

For Years 7 to 10, practise the way a test is sat: mixed questions, time limits, full working. Then mark it honestly and re-do the errors.

How the 9 questions are chosen

We keep 9 statistics and probability questions for Year 7 that meet our standard, at the easy and at-level tiers, and this page serves 9 of them at a time. The default set is stable, so a teacher or parent can share the link; a fresh set is one click away. Marking happens on our server so the answer key cannot be read from the page.

Use this page to answer one question well: is statistics and probability secure at Year 7 level? For the broader picture across every topic and every difficulty tier, the free Skills Check takes about fifteen minutes and produces a report a tutor walks you through.

The quiz: 9 questions

Choose one answer for each question, then press Mark my answers. Set 72524 · New set of questions →

Question 1
Statistics & probability

Find the median of 3, 7, 2, 9, 5.

Question 2
Statistics & probability

A data set has five whole numbers. The mean is 10, the median is 9, and the range is 12. The smallest value is 4. A student claims: 'The largest value must be 16.' Is the student correct, and why?

Question 3
Statistics & probability

Find the mode of 2, 4, 4, 7, 9.

Question 4
Statistics & probability

On a fair six-sided die (faces 1–6), Event A = 'rolling a factor of 6' and Event B = 'rolling a prime number'. A student says the two events have no outcomes in common. Is the student correct?

Question 5
Statistics & probability

The probability of rain is 0.3. The probability of no rain is:

Question 6
Statistics & probability

The probability of rolling a 3 on a fair die is:

Question 7
Statistics & probability

Find the range of 3, 9, 5, 12.

Question 8
Statistics & probability

A bag has 3 red and 5 blue marbles. P(red) is:

Question 9
Statistics & probability

Find the mean of 6, 10, 8, 4.

How to read a score out of 9

9 or 10 out of 10 (scaled to 9)
The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.
7 or 8 out of 10 (scaled to 9)
Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.
5 or 6 out of 10 (scaled to 9)
Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.
4 or fewer out of 10 (scaled to 9)
Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

1. Want the full picture?

The free Skills Check takes about 15 minutes, covers every Year 7 topic including stretch and challenge questions, and sends a same-day topic-by-topic report. A tutor calls to walk you through it, no obligation.

Start the free Skills Check →

2. Printable practice with answers

Our Year 7 practice papers are full-length, curriculum-aligned and come with worked answers, so a student can practise on paper the way the real test is sat.

Browse practice papers →

3. Tutoring in Melbourne's west or online

Small groups from $25 an hour and 1:1 from $35 an hour at our Truganina centre, or online anywhere in Australia. Same tutors, same Skills Check, same progress notes either way.

See NAPLAN tutoring → All tutoring →

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

Is this Year 7 statistics and probability quiz free?

Yes, completely: no sign-up, no email, no payment, and you can take it as many times as you like. It is one of 3,261 free practice questions RHZ Tutoring publishes across Prep to Year 12. Press New set of questions, or add ?seed= to the address, for a different selection from the same topic.

Why only 9 questions on one topic?

Because a single-topic set is the most precise free check available: if the score is low, the gap is in statistics and probability and nowhere else. There are 9 eligible questions on this topic in our Year 7 NAPLAN Numeracy bank, so several different sets are available before any repeat.

Where do the statistics and probability questions come from?

From RHZ Tutoring's own Year 7 NAPLAN Numeracy question bank, written to the Victorian Curriculum, checked by a tutor and passed through an automated quality gate. The same bank feeds our tutoring sessions and the free Skills Check. The questions on this page sit at the easy and at-level tiers.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in statistics and probability are one of the misconceptions listed on this page. Then try a second set a few days later. If it is still low, the free Skills Check will show whether the gap is confined to this topic, and a tutor can build a short catch-up plan.

Is there a mixed Year 7 NAPLAN Numeracy quiz?

Yes. The Year 7 NAPLAN Numeracy quiz spreads ten questions across every topic for the year, and the hub lists topic quizzes for every year level from Prep to Year 12.

Other NAPLAN Numeracy topics for Year 7

Mixed NAPLAN Numeracy Year 7 quiz (all topics) →

All 3,261 free practice questions, Prep to Year 12 →