---
title: "SA Ignite Assessment Maths Practice | Year 6, Reasoning"
description: "SA Ignite assessment for Year 6: the four-part ACER test including Mathematical Reasoning, the 20 February 2027 date, and original colouring-argument puzzles."
canonical: https://learn.modernagecoders.com/sa-ignite-entry-maths-practice
source: src/pages/sa-ignite-entry-maths-practice.html
---
> SA Ignite assessment for Year 6: the four-part ACER test including Mathematical Reasoning, the 20 February 2027 date, and original colouring-argument puzzles.

In short

The ACER Ignite Assessment is the test for entry to South Australia's Ignite program for gifted students, sat in Year 6 for Year 7. Glenunga International High School lists it on 20 February 2027, with ACER Portal registrations opening on 2 November 2026. It has four parts over about three hours: Reading Comprehension, Mathematical Reasoning, Abstract Reasoning and Written Expression.

For curious minds

## Three courses for able Years 5 and 6 students

Mathematics that rewards curiosity, wherever a child goes next.

[![Maths Olympiad & Competition Course course thumbnail](/images/olympiad-competition-maths.webp)  SAI / 01 Competition maths Proof, invariants and unusual problems, explored with care. Open the syllabus →](/courses/olympiad-competition-mathematics-mastery)[![Problem Solving and Computational Thinking for Kids course thumbnail](/images/problem-solving-kids.webp)  SAI / 02 Problem solving and logic Reasoning steps written out and explained. Open the syllabus →](/courses/problem-solving-and-computational-thinking-for-kids)[![Elementary Maths for Grades 1-5 course thumbnail](/images/elementary-maths.webp)  SAI / 03 Upper-primary maths The curriculum taught deeply, as a base for reasoning. Open the syllabus →](/courses/elementary-mathematics-complete-masterclass)

The Ignite program

## A gifted program at three South Australian schools

As described by two Ignite schools on 7 October 2026. The SA Department for Education site blocked our automated read, so we relied on its schools' pages.

Glenunga International High School describes itself as "a Department for Education Special Interest School" offering programs for students with high intellectual potential through Ignite. Its page says the program is funded by the Department of Education, supports identified gifted and talented students, and has been running since 1997.

The same page names the three schools offering it: "Glenunga International High School, The Heights High School, and Aberfoyle Park High School."

Aberfoyle Park High School describes IGNITE as "a year 7 to 10 specialist learning program catered to the needs of gifted students", and states that "All students can apply for the IGNITE program regardless of zone."

Glenunga's page notes that its Ignite students follow enrichment or accelerated pathways. How each school organises its classes is a question for the school itself.

Sources: [Glenunga International High School, Ignite](https://gihs.sa.edu.au/specialist-programs/ignite/); [Aberfoyle Park High School, IGNITE](https://aphs.sa.edu.au/programs/ignite/). Checked on 7 October 2026. We have no connection with these schools, the Department or ACER.

The assessment

## Four parts, about three hours, marked by ACER

From Glenunga International High School's Ignite page, read on 7 October 2026.

| Detail | As the school publishes it |
| --- | --- |
| Date | 20 February 2027, for Year 6 students entering Year 7 the following year |
| Registration | Via the ACER Portal, opening Monday 2 November 2026 |
| Length | Four parts over approximately 3 hours, with a break |
| Parts | Reading Comprehension; Mathematical Reasoning; Abstract Reasoning; Written Expression |
| Marking | Test materials are sent to ACER in Melbourne |
| Who can sit | Students in Year 6; Year 5 students only with a principal's letter of recommendation |
| How often | Once, at one Ignite School |

The school pages we read do not publish the length or number of questions in the Mathematical Reasoning part, so we do not guess at them. Families should take format details from the school and ACER at registration.

Rural and interstate students may, with principal approval, be able to sit the assessment at their primary school; students living outside Australia cannot register, according to Glenunga's page.

Because the assessment is designed to identify high intellectual potential, we see little value in drilling for it. What helps an able child is enjoying problems that need reasoning rather than routine, and learning to explain why an answer must be right.

Our classes teach mathematics in that spirit. They are not Ignite coaching, and in the free trial we say honestly whether a child needs anything at all.

Source: [Glenunga International High School, Registrations for Year 7 in 2028](https://gihs.sa.edu.au/specialist-programs/ignite/). Checked on 7 October 2026.

Puzzles we wrote

## Colouring arguments: proving something is impossible

Colour a board like a chessboard, in alternating dark and light squares. Many moves, tiles and paths must always switch colour or always cover one of each. Counting colours can then prove that a task can never be done, without trying every possibility.

### Colour first

Shade the grid in a checkerboard pattern. Every square now has exactly one colour, and neighbours always differ.

### Find what never changes

A domino always covers one dark and one light square. A step to a neighbouring square always changes colour.

### Count and compare

If the task needs equal numbers of each colour and the board has unequal numbers, the task is impossible.

| Puzzle | The colouring idea | Answer |
| --- | --- | --- |
| An 8 by 8 board has two opposite corners removed. Can 31 dominoes cover the remaining 62 squares? | Opposite corners share a colour, leaving 30 of one colour and 32 of the other; each domino covers one of each | No |
| Can dominoes exactly cover a 5 by 5 board? | 25 squares is odd, and every domino covers 2 | No |
| A 4 by 4 board loses the two corners at the ends of its top row. Does colouring rule out a domino covering? | Those corners are different colours, leaving 7 of each, so colouring cannot rule it out | No; and a covering does exist |
| A knight jumps around a chessboard. Can it return to its start in an odd number of moves? | Every knight move changes colour, so it is back on its starting colour only after an even number of moves | No |
| On a 3 by 3 grid, a path visits every square once, stepping to neighbours. Can it start on an edge square that is not a corner? | Shade corners and centre dark: 5 dark, 4 light. A 9-square path alternates colours, so it must start and end on dark | No; it must start on a corner or the centre |

The first puzzle is a classic for a reason. Trying to place 31 dominoes by hand takes ages and never settles the question. Colouring settles it in one line: the board has 30 squares of one colour and 32 of the other, but 31 dominoes would cover exactly 31 of each. No amount of clever placing can fix that.

The grid path in the last row rewards slow reading. Shade the four corners and the centre dark; the four edge squares in between are light. Any path that steps only to neighbours must alternate dark, light, dark, light. A path through all nine squares therefore has five squares in one colour and four in the other, so it must begin and end on the colour that appears five times. Dark appears five times, so a full path has to start on a corner or the centre. Starting on a light edge square would need five light squares, and there are only four. One count rules out every attempt at once, which is exactly what makes colouring arguments so satisfying.

Parity, odd and even, is the simplest relative of these ideas. The 5 by 5 board fails before any colouring at all, because 25 squares cannot be split into pairs. Encourage students to try the cheapest argument first: count, then colour, then search for a construction only if neither settles the question.

The third puzzle teaches the limit of the method, and it is just as important. When the colours balance, colouring proves nothing either way. A student then has to find an actual covering, here a domino across the middle two top squares and three rows of dominoes below, to show the task is possible. Knowing when an argument works, and when it does not, is the heart of mathematical reasoning.

Why proof matters

## From "I could not do it" to "it cannot be done"

The jump from failing to find something to proving it cannot exist is one of the most powerful ideas a young mathematician meets.

### What changes in a child's thinking

Before colouring arguments, a stuck child concludes they are not clever enough. After them, they ask whether the task might be impossible, and look for something that never changes.

That question, what stays the same, reaches far beyond chessboards: into parity of numbers, balanced equations and later into the invariants used in computer science.

### How to explore at home

Draw grids on paper and cut out dominoes from card. Let your child try to cover a board, then show the colouring.

Ask them to invent a board that colouring cannot rule out but that still cannot be covered. It is a genuinely hard and rewarding challenge.

Reasoning and proof

## Four stages for young mathematicians

These grow over years through puzzles, conversation and good teaching.

| Stage | The student can | Secure when |
| --- | --- | --- |
| 1. Trying | Attempt a task by hand | Covers a small board with dominoes |
| 2. Counting | Use counting to rule things out | Explains why a 5 by 5 board cannot be covered |
| 3. Invariants | Find what never changes | Uses colours to prove the 8 by 8 corners puzzle |
| 4. Limits | Know when an argument proves nothing | Explains the 4 by 4 puzzle fully |

### Enjoyment first

The assessment is designed to identify potential, so pressure and drilling add little. Puzzles enjoyed for their own sake build the same thinking.

If a child becomes anxious, step back from any test practice.

### Other states

Western Australia's ASET is covered on [WA GATE ASET maths practice](/wa-gate-aset-maths-practice).

The Queensland Academies test is on [Queensland Academies maths practice](/queensland-academies-entry-maths-practice).

Courses for Years 5 and 6

## Courses for students who love a puzzle

Three groups; each card leads to the full syllabus.

I

### Proof and puzzles

Reasoning for its own sake

SAI / P / 01

#### Competition maths

Invariants, parity and proof.

[Open the syllabus](/courses/olympiad-competition-mathematics-mastery)

SAI / P / 02

#### Problem solving and computational thinking

Step-by-step reasoning.

[Open the syllabus](/courses/problem-solving-and-computational-thinking-for-kids)

SAI / P / 03

#### Maths through coding

Test ideas with small programs.

[Open the syllabus](/courses/maths-through-coding)II

### Curriculum depth

Strong foundations

SAI / C / 01

#### Primary maths

Every strand, taught thoroughly.

[Open the syllabus](/courses/elementary-mathematics-complete-masterclass)

SAI / C / 02

#### Mental maths

Number sense and fluency.

[Open the syllabus](/courses/mental-maths-mastery-kids)

SAI / C / 03

#### Statistics and probability

Data, chance and fair reasoning.

[Open the syllabus](/courses/statistics-probability-maths-course)III

### Ahead

Into secondary

SAI / A / 01

#### Algebra foundations

Patterns written with letters.

[Open the syllabus](/courses/algebra-foundations-masterclass)

SAI / A / 02

#### Middle years maths

Early secondary topics.

[Open the syllabus](/courses/comprehensive-middle-school-mathematics-mastery)

SAI / A / 03

#### Vedic maths

Calculation patterns, checked.

[Open the syllabus](/courses/vedic-maths-course-speed-calculation-mastery)

Our lessons

## Live, discussion-rich classes for SA families

Our teachers are in India, behind Adelaide. During daylight saving Adelaide is five hours ahead of India time, so a 4.30 pm class there begins at 11.30 am in India.

After school

Good for Years 5 and 6.

Weekend

Time for longer puzzles.

Holidays

Short proof and puzzle workshops.

### Boards and dominoes

Students colour, cut and test ideas by hand.

### Arguments written down

Every claim of impossibility needs a reason.

### Fifteen to twenty per group

Groups that discuss together.

### One-to-one lessons

For a student who wants to go deep alone.

### Not Ignite coaching

We teach mathematics, not assessment drills.

### No offer claims

Entry decisions rest with the schools.

Student work

## Student projects

Built by our learners because they wanted to. More in the [student labs](/student-labs).

![NutriLife AI nutrition coach project screenshot](/images/projects/nutrilife.webp)

AI and ML

#### NutriLife

An AI nutrition coach that reads what you eat and works you toward a target.

by Bhavya · [Open it](https://nutrilife-bhavya.lovable.app)

![Misti AI chatbot for maths and coding screenshot](/images/projects/misti.webp)

AI and ML

#### Misti

A chatbot that answers mathematics and programming questions, built and deployed by a student.

by Harshit · [Open it](https://misti.modernagecoders.com)

![GuardianX AI internet safety assistant screenshot](/images/projects/guardianx.webp)

AI and ML

#### GuardianX

An assistant that helps a young person recognise unsafe situations online.

by Vivaan · [Open it](https://guardianx-cybersaver.lovable.app)

![SkyCast weather forecast application screenshot](/images/projects/skycast.webp)

Web app

#### SkyCast

A weather forecasting site with live conditions for any location.

by Krish

Fees

## Fees

South Australian families pay monthly in US dollars, the rate we use outside India. No payment in advance and no minimum term.

Free first class

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Group batch

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a month, billed in US dollars

- Fifteen to twenty students at one level
- One regular teacher
- Feedback on reasoning
- Certificate at the end

Start here

One to one

USD 150

a month, billed in US dollars

- A teacher for one student
- Chosen focus
- Flexible times

Enquire

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What parents wrote on Google, quoted exactly.

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Questions about Ignite

## South Australian families ask

### What is the Ignite program?

A South Australian special interest program for gifted students, funded by the Department of Education and offered at Glenunga International High School, The Heights High School and Aberfoyle Park High School, according to Glenunga's page.

### When is the Ignite assessment?

Glenunga lists the ACER Ignite Assessment on 20 February 2027 for Year 6 students entering Year 7 the following year.

### What does the assessment include?

Four parts over about three hours with a break: Reading Comprehension, Mathematical Reasoning, Abstract Reasoning and Written Expression.

### Who marks it?

Glenunga's page says the test materials are sent to ACER in Melbourne for marking.

### Can Year 5 students sit it?

Glenunga's page says Year 5 students may apply but need a signed letter of recommendation from their primary school principal.

### What is a colouring argument?

A proof that colours a board, usually in a checkerboard pattern, and counts colours to show a task such as covering it with dominoes is impossible.

### Are colouring puzzles too hard for Year 5?

Usually not. The 5 by 5 board needs only the idea of odd and even, and most curious Year 5 students can follow the corners puzzle once the board is coloured in front of them.

### How long is the Mathematical Reasoning part?

The school pages we read do not say, so we do not state a length. ACER and the school provide format details at registration.

### Can you help with registration or school choice?

No. We give no admissions or school-choice advice.

### Will classes help my child get in?

We promise no result. We teach reasoning and mathematics that are valuable in themselves.

### What time would lessons be in Adelaide?

We agree a weekly time after the free trial. During daylight saving Adelaide is five hours ahead of India time.

Related pages

## More for South Australian families

Other states' tests, maths and coding.

### [WA GATE ASET](/wa-gate-aset-maths-practice)

Matchstick patterns and quantitative reasoning.

### [Queensland Academies test](/queensland-academies-entry-maths-practice)

Logic grids and series.

### [Maths tutoring in Australia](/online-maths-tutoring-australia)

Live classes for every year.

### [Coding for 11 and 12 year olds](/coding-classes-for-11-and-12-year-olds-australia)

Logic and invariants in code.

### [Competitions calendar](/australian-coding-maths-and-ai-competitions-calendar)

Contests for keen problem solvers.

### [Maths challenges](/maths-challenges)

Puzzles to share.

Start here

## Book a free maths and reasoning class

Tell us your child's year and what kind of problems they enjoy. The trial is a real lesson in reasoning and proof, followed by honest advice.

Want to look first? The [course atlas](/course-atlas) lists every course, and [how we teach](/how-we-teach) describes a lesson.

[WhatsApp us](https://wa.me/919123366161?text=Hello%20Modern%20Age%20Coders%2C%20I%20would%20like%20a%20free%20maths%20and%20reasoning%20class%20for%20my%20Year%205%20or%206%20child%20in%20South%20Australia.) · [+91 91233 66161](tel:+919123366161) · [connect@modernagecoders.com](mailto:connect@modernagecoders.com)

WhatsApp is usually fastest. Our +91 number is Indian; we teach from India and have no South Australian office.

### Want a class sooner? Book a priority demo

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[Book a priority demo](/book-demo)

## Keep exploring Modern Age Coders

### More maths tuition

- [SAT Math Tutoring Online](/sat-math-tutoring-online)
- [Transfer Test Maths Practice, Northern Ireland](/transfer-test-maths-practice-northern-ireland)
- [Primary Maths Challenge Practice](/primary-maths-challenge-practice)
- [UKMT Team Maths Challenge Practice](/ukmt-team-maths-challenge-practice)
- [Precalculus Tutoring Online](/precalculus-tutoring-online)
- [Online Maths Tutoring for Teens in the USA](/online-maths-tutoring-for-teens-in-usa)
- [ISEE & SSAT Math Prep Online](/isee-ssat-math-prep)
- [ACT Math Tutoring Online](/act-math-tutoring-online)
- [11 Plus Maths Tuition Warwickshire](/11-plus-maths-tuition-warwickshire)

### Learn more

- [11 Plus Maths Prep: UK Grammar & Independent School Entry](/courses/11-plus-maths-preparation-course-uk)
- [College Maths Course: Calculus, Linear Algebra to Analysis](/courses/college-mathematics-complete-masterclass)
- [Maths Tutor in Dubai](/maths-tutor-in-dubai)
- [CBSE Class 10 Maths Board Prep: Case Studies & Mocks](/courses/cbse-class-10-maths-board-exam-prep-course)

### From the blog

- [Maths Learning Guides](/blog/topic/maths)
- [PCEP vs PCAP: Which Python Certification Is Worth It?](/blog/pcep-vs-pcap-which-python-certification)
- [Conway's Game of Life in Python: Rules, Patterns and Code](/blog/conways-game-of-life-python)
- [Coding is the New English: Why 2026 is the Year to Start](/blog/coding-is-the-new-english-why-2026-is-the-year-to-start)

### Start here

- [About Modern Age Coders, teaching since 2020](/about)
- [Modern Age Coders pricing, one honest price per plan](/pricing)

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