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Free NAPLAN Numeracy Practice: Integers & operations — Year 7 (10 Questions, Instant Results)

Want to know whether integers and operations is secure at Year 7 level? Answer 10 questions here, see the score and the correct answers straight away, and then try a new set. Everything is free, part of 3,261 free practice questions RHZ Tutoring publishes, and nothing about your child is collected.

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

Free practice quizzesNAPLAN Numeracy Year 7 quiz › Integers & operations

How NAPLAN tests integers and operations in Year 7

NAPLAN Numeracy in Year 7 is adaptive, so a student who answers the early questions correctly is routed to harder ones. Integers & operations questions appear throughout, usually in a worded or diagram-based form that asks the student to choose the right idea before applying it. This page gives that idea a workout on its own so the student can see whether it holds up without the cover of easier questions around it.

Integers & operations in Year 7 NAPLAN Numeracy

Here is the ground the questions cover. Year 7 number covers all four operations with positive and negative integers, the order of operations, index notation and square roots, and the language of factors, multiples, primes, highest common factor and lowest common multiple. Mental fluency here underpins every algebra topic that follows.

The items are tagged to the Victorian Curriculum for Year 7, so a score here reflects the standard a Year 7 class is working to, not a generic online level.

Mistakes we see most often in integers and operations

A wrong answer is more useful than a right one if you know why it happened. In sessions with Year 7 students, these are the patterns our tutors see most:

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

Ways to build integers and operations at Year 7

If the quiz shows a gap, more of the same worksheets rarely fixes it. Try these instead:

  1. Practise order of operations with the same numbers and different brackets.
  2. Learn the squares to 15 and the cubes to 5 by heart.
  3. Use a number line for every negative-number calculation until the rules feel obvious.

In secondary school the lift comes from regular independent practice with worked solutions to check against, and from fixing errors the same day. Twenty minutes, four times a week, is enough.

How this integers and operations quiz works

The 10 questions are drawn from 10 eligible items on integers and operations in our Year 7 NAPLAN Numeracy bank, including some stretch-tier questions so there are enough to make a full set. 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.

Because every question here is on integers and 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 7 NAPLAN Numeracy 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 10381 · New set of questions →

Question 1
Integers & operations

Calculate: −20 ÷ 4.

Question 2
Integers & operations

Calculate: 3² + 4 × 2.

Question 3
Integers & operations

Calculate: (6 + 2) × 3 − 4.

Question 4
Integers & operations

Calculate: 10 − 2 × 3.

Question 5
Integers & operations

Calculate: −6 + 4.

Question 6
Integers & operations

Calculate: −5 × −3.

Question 7
Integers & operations

Jada thinks of an integer. She multiplies it by −4, then adds 9, and gets −3. What was her integer?

Question 8
Integers & operations

Calculate: −4 × 3 + 20 ÷ (−5).

Question 9
Integers & operations

Calculate: −7 − (−3).

Question 10
Integers & operations

Calculate: 3 − 8.

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 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 integers and 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 integers and operations and nowhere else. There are 10 eligible questions on this topic in our Year 7 NAPLAN Numeracy bank, so several different sets are available before any repeat.

Where do the integers and operations 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. 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 integers and 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 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 →