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Free Year 10 Probability & statistics Quiz — 10 Questions, Instant Results

A single-topic check for Year 10 maths: 10 multiple-choice questions on probability and statistics, selected from 15 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.

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

Free practice quizzesYear 10 Maths quiz › Probability & statistics

What probability and statistics covers in Year 10 maths

Before the quiz, here is what the topic means at this level. Year 10 probability and statistics covers conditional probability, independence, two-way tables and Venn diagrams, box plots, standard deviation as a measure of spread and scatter plots with lines of good fit.

Every question on this page was written to a specific Victorian Curriculum reference for Year 10 and checked by an RHZ tutor before it could be served.

Where Year 10 students go wrong with probability and statistics

Most errors in probability and statistics are not random. When Year 10 students sit our Skills Check, the same handful of misunderstandings account for the majority of lost marks:

None of these is a sign of low ability. Each is a reasonable idea that worked in an earlier year and needs replacing, which is exactly what a good explanation, or a tutor, does.

What to do if probability and statistics needs work

Three things a parent or student can do this week:

  1. Draw box plots from raw data by hand.
  2. Interpret scatter plots in the news.
  3. Use technology to find standard deviation, then explain what it means.

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.

About the questions on this page

The 10 questions are drawn from 15 eligible items on probability and statistics in our Year 10 maths bank, all at the easy and at-level tiers. The selection is fixed for this address so a shared link shows the same quiz; press New set of questions or add ?seed= to the address for a different mix. Options are shuffled, no two questions share a stem, and the answer key is fetched from our server only after you submit, so it is not hidden in the page.

A single-topic quiz is more precise than a mixed one: if the score here is low, the gap is in probability and statistics, not somewhere in Year 10 maths generally. It is still short, though, and it cannot show how a student copes with the stretch and challenge questions that decide a top result. That is what the free Skills Check adds.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 14853 · New set of questions →

Question 1
Probability & statistics

P(win) = 0.4. P(not win) is?

Question 2
Probability & statistics

A bag contains 4 red marbles and 6 blue marbles. Two marbles are drawn without replacement. Given that the first marble drawn is red, what is the probability that the second marble is also red?

Question 3
Probability & statistics

In a class of 30 students, 18 play sport and 12 study music. Eight students do both. A student is chosen at random. What is the probability the student plays sport OR studies music (or both)?

Question 4
Probability & statistics

P(even number on a die) is?

Question 5
Probability & statistics

Median of 3, 8, 5, 12, 7 is?

Question 6
Probability & statistics

A researcher records the number of hours of television watched per day and the score on a wellbeing survey for 50 teenagers. The correlation coefficient is r = −0.78. Which conclusion is most statistically justified?

Question 7
Probability & statistics

P(red then red) drawing from 2 red, 3 blue with replacement is?

Question 8
Probability & statistics

Find the mean of 5, 10, 15.

Question 9
Probability & statistics

Four numbers have mean 12. Three are 10, 14, 9. The fourth is?

Question 10
Probability & statistics

Range of 4, 9, 2, 11 is?

How to read a score out of 10

9 or 10 out of 10
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
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
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
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 10 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 10 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 Maths 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 10 probability and statistics 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 10 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 probability and statistics and nowhere else. There are 15 eligible questions on this topic in our Year 10 Maths bank, so several different sets are available before any repeat.

Where do the probability and statistics questions come from?

From RHZ Tutoring's own Year 10 Maths 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 probability and statistics 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 10 Maths quiz?

Yes. The Year 10 Maths 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 Maths topics for Year 10

Mixed Year 10 Maths quiz (all topics) →

Probability & statistics in other year levels

Year 12 Probability & statistics

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