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Free Year 6 Fraction & decimal operations Quiz — 10 Questions, Instant Results

This free Year 6 fraction and decimal operations quiz asks 10 multiple-choice questions on one topic only, drawn from 10 tutor-checked items, and marks them the moment you press submit. It is part of RHZ Tutoring's bank of 3,261 free practice questions: no sign-up, no email, no download.

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

Free practice quizzesYear 6 Maths quiz › Fraction & decimal operations

Fraction & decimal operations at Year 6: what the curriculum expects

Year 6 operations with fractions and decimals include adding and subtracting fractions with related denominators, multiplying and dividing decimals by whole numbers, finding fractions of quantities, ordering mixed numbers and solving multi-step worded problems that mix the two forms.

This topic sits inside the Victorian Curriculum for Year 6 maths; the questions stay at the easy and at-level tiers so the result is a fair check of the foundations.

Common fraction and decimal operations misconceptions tutors see

The distractors in this quiz are built from real misconceptions rather than random wrong numbers, so a specific wrong answer usually points to a specific gap. The ones we see most at Year 6:

Spotting which one applies is the useful part; the fix is usually quick once the misunderstanding is out in the open.

Practising fraction and decimal operations with a Year 6 student

The habits that move fraction and decimal operations from shaky to secure at Year 6:

  1. Convert fractions to a common denominator with a fraction wall before adding.
  2. Estimate the answer to a decimal multiplication first, then place the point.
  3. Use recipes: halve or double the quantities and work out the fractions.

In the middle primary years, short frequent practice with immediate feedback works best. Mix a few fact questions with one worded problem and talk through any error.

How this fraction and decimal operations quiz works

Every set on this page is a seeded selection of 10 from the 10 fraction and decimal operations questions that pass our quality gate (this topic includes a few stretch-tier items to fill the set). A different seed gives a different set, and there are many more combinations than any one student will need. The correct answers never appear in the page source; the browser asks our server for them after you press Mark my answers.

Because every question here is on fraction and decimal operations, a low score is a clear signal and a high score is genuinely reassuring for this topic. What it cannot tell you is whether the other Year 6 maths topics are equally secure, or how far above the year level the student can go; the free Skills Check covers both.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 30291 · New set of questions →

Question 1
Fraction & decimal operations

Mia has completed 5/8 of a 4.8 km bush walk. How many kilometres does she still have left to walk?

Question 2
Fraction & decimal operations

Calculate: 0.6 × 4.

Question 3
Fraction & decimal operations

Calculate: 2/3 × 3/4.

Question 4
Fraction & decimal operations

Simplify: 9/12.

Question 5
Fraction & decimal operations

Jamie scored 7/10 on a maths test and 3/4 on a science test. Each test was out of the same total marks. Which statement is true?

Question 6
Fraction & decimal operations

Calculate: 1/2 + 1/3.

Question 7
Fraction & decimal operations

Calculate: 3/4 ÷ 1/2.

Question 8
Fraction & decimal operations

Calculate: 4.8 ÷ 6.

Question 9
Fraction & decimal operations

Calculate: 3/7 + 2/7.

Question 10
Fraction & decimal operations

Calculate: 0.5 + 0.35.

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 6 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 6 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 6 fraction and decimal operations 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 fraction and decimal operations and nowhere else. There are 10 eligible questions on this topic in our Year 6 Maths bank, so several different sets are available before any repeat.

Where do the fraction and decimal operations questions come from?

From RHZ Tutoring's own Year 6 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. This topic includes a few stretch-tier questions so that a full set is available.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in fraction and decimal operations 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 6 Maths quiz?

Yes. The Year 6 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 6

Mixed Year 6 Maths quiz (all topics) →

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