--- title: "ICAS Maths Practice Online | Papers, Timing and Topics" description: "ICAS Maths practice for Years 2 to 12 in Australia: papers Intro to J, question counts and timing from ICAS Assessments, and a worked recurring decimals lesson." canonical: https://learn.modernagecoders.com/icas-maths-practice-online source: src/pages/icas-maths-practice-online.html --- > ICAS Maths practice for Years 2 to 12 in Australia: papers Intro to J, question counts and timing from ICAS Assessments, and a worked recurring decimals lesson. In short ICAS Mathematics is a maths assessment run by ICAS Assessments for Australian students from Year 2 to Year 12. Year 2 sits the Intro paper of 30 questions in 35 minutes; Years 3 to 12 sit Papers A to J, each with 40 questions, in 45 minutes for Papers A to C and 1 hour from Paper D. In 2026 the Mathematics sitting window was 24 to 28 August. For ICAS Mathematics ## Three courses that match the ICAS papers One for the primary papers, one for the middle years, one for the senior papers. [![Elementary Maths for Grades 1-5 course thumbnail](/images/elementary-maths.webp) ICMT / 01 Primary maths, Papers Intro to D Number, patterns, measurement and data with reasoning, the ground the primary papers cover. Open the syllabus →](/courses/elementary-mathematics-complete-masterclass)[![Middle School Mathematics Mastery course thumbnail](/images/middle-school-maths.webp) ICMT / 02 Middle years, Papers E to H Ratios, algebra, angle properties and statistics, the content the Years 7 to 10 papers describe. Open the syllabus →](/courses/comprehensive-middle-school-mathematics-mastery)[![High School Mathematics course thumbnail](/images/high-school-maths.webp) ICMT / 03 Senior maths, Papers I and J Indices, functions, trigonometry and probability for Years 11 and 12. Open the syllabus →](/courses/complete-high-school-mathematics-mastery) Which paper, how long ## ICAS Mathematics papers by Australian year level ICAS Assessments publishes the paper for each year and the length of each one. These figures are theirs, read on 7 October 2026. | Paper | Australian year | Questions | Time | | --- | --- | --- | --- | | Intro | Year 2 | 30 | 35 minutes | | A | Year 3 | 40 | 45 minutes | | B | Year 4 | 40 | 45 minutes | | C | Year 5 | 40 | 45 minutes | | D | Year 6 | 40 | 1 hour | | E | Year 7 | 40 | 1 hour | | F | Year 8 | 40 | 1 hour | | G | Year 9 | 40 | 1 hour | | H | Year 10 | 40 | 1 hour | | I | Year 11 | 40 | 1 hour | | J | Year 12 | 40 | 1 hour | The jump that catches families out is between Paper C and Paper D. Year 6 keeps 40 questions but gains a quarter of an hour, and the content steps up with it. From Paper D upwards, every paper is 40 questions in 1 hour, so a steady pace of about one question every minute and a half is the planning figure. ICAS Assessments notes that international schools registered with it "should sit the papers according to the Australian year levels", which is why the Australian column is the reference point. ICAS describes the questions as increasing "in complexity throughout the paper". That changes how to practise: early questions should become quick and reliable, so that time is left for the harder ones at the end, rather than racing to finish. The school, testing centre or partner running the assessment sets up how and where students sit it. Ask them what to expect on the day, so the format is not a surprise. Source: ICAS Assessments, [ICAS year levels and exam papers](https://www.icasassessments.com/icas-year-levels-and-exam-papers/), read on 7 October 2026. We are not connected with ICAS Assessments or Janison. What is tested ## Five learning areas, rising paper by paper ICAS Assessments lists the learning areas and gives examples for each paper. The examples below are quoted from its Mathematics page. ### The learning areas ICAS lists Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data. ### The aim ICAS says its Mathematics assessments are "designed to provide an objective ranking of students' performance based on the curricula for the relevant year". ### The style Questions test "logical reasoning, problem solving and critical thinking", in ICAS's words, rather than recall alone. | Paper | Year | Students may be asked to | | --- | --- | --- | | A | Year 3 | "order and compare halves, quarters and eighths, multiply and divide by single digits using different techniques" | | D | Year 6 | "complete number sentences involving all four equations, solve problems involving parallel and perpendicular lines, or interpret and compare column graphs, dot plots and tables" | | E and F | Years 7 and 8 | "solve percentage and ratio problems, interpret authentic graphs to solve linear equations, solve problems using angle sum of triangles and quadrilaterals, or calculate mean, median, mode and range" | | G and H | Years 9 and 10 | "convert terminating and recurring decimals to fractions, factorise linear expressions, solve linear equations graphically and algebraically" | | I and J | Years 11 and 12 | "apply index laws involving integer and fractional indices, solve financial problems using simple and compound interest" | Quotations: ICAS Assessments, [ICAS Mathematics](https://www.icasassessments.com/products-icas/subjects/mathematics/), read on 7 October 2026. The Australian Curriculum content behind these topics is set by ACARA and taught by schools. Taking part ## How students enter ICAS Mathematics ICAS Assessments describes three routes into the assessment. We are not one of them; we teach maths. | Route or date | What ICAS Assessments says | | --- | --- | | Through school | Schools register and choose the year levels and subjects; parents are invited to enter; students sit the test at school | | Testing centre | If a school does not offer ICAS, students can sit at an ICAS testing centre hosted at Cliftons locations across Australia | | Authorised partner | An approved provider that coordinates the competition locally | | Parent Payment System | Lets parents register and pay for their children's entries through the school | | 2026 Mathematics window | 24 to 28 August | | 2026 entry deadline | School entries closed Friday 24 July; for Mathematics the date was extended to Sunday 16 August, 11:59pm AEST | For most families the school route is the only one that matters: if the school runs ICAS, entry comes through a letter or the school's portal. Entry fees are in Australian dollars and are set by ICAS Assessments, so we do not reproduce them. ICAS Assessments also sells past papers through its own shop. We link to the publisher rather than copying any of its questions. Results and certificates, according to ICAS Assessments, are provided through the school and can also be viewed online. The organisers publish their own guidance on understanding results. Dates for 2027 were not published when we checked. The August pattern in 2026 is a reasonable guide, and the school will confirm. Sources: ICAS Assessments [2026 dates](https://www.icasassessments.com/event-calendar/) and [how to register your child](https://www.icasassessments.com/how-to-register-your-child-for-icas-competition/), read on 7 October 2026. A worked topic from Papers G and H ## Turning recurring decimals into fractions ICAS Assessments names "convert terminating and recurring decimals to fractions" among the skills for Papers G and H. The Australian Curriculum introduces the idea in Year 8 (AC9M8N03, "recognise terminating and recurring decimals"). Here is the method, with three examples we checked exactly. | Decimal | Method | Fraction | | --- | --- | --- | | 0.272727... (27 repeating) | Let x be the decimal. 100x is 27.2727..., so 100x minus x is 27, and 99x is 27 | 27 over 99, which simplifies to 3/11 | | 0.1666... (6 repeating) | 10x is 1.666... and 100x is 16.666..., so 100x minus 10x is 15, and 90x is 15 | 15 over 90, which is 1/6 | | 2.3454545... (45 repeating) | 1000x is 2345.4545... and 10x is 23.4545..., so 990x is 2322 | 2322 over 990, which simplifies to 129 over 55 | The idea is to multiply by a power of ten that lines the repeating part up with itself, then subtract so the endless tail cancels. The number of repeating digits decides the power: two repeating digits means multiplying by 100, one means 10. The third example is the one students get wrong. When some digits do not repeat, you need two multipliers, one to move past the non-repeating part and one to line up the repeat. 1000x and 10x give 990x, and only then does the fraction appear. There is a quick check in multiple-choice conditions. A fraction in simplest form has a terminating decimal only if its denominator has no prime factors other than 2 and 5. So 3/11 and 1/6 must recur, while 1/8 must terminate. Of the unit fractions from 1/2 to 1/12, only 1/2, 1/4, 1/5, 1/8 and 1/10 terminate. Knowing why the method works makes ICAS questions on this topic quick, and it carries straight into senior maths, where the same subtraction trick appears in geometric series. Quotations: ICAS Assessments [Mathematics page](https://www.icasassessments.com/products-icas/subjects/mathematics/) and ACARA [Mathematics content 7 to 10](https://www.australiancurriculum.edu.au/content/dam/en/curriculum/ac-version-9/downloads/mathematics/mathematics-curriculum-content-7-10-v9.docx), read on 7 October 2026. Examples are ours, checked with exact fractions in Python. Preparing well ## Four habits for ICAS Mathematics Good preparation builds mathematics, not test tricks. These habits help on any paper. | Habit | Why it helps | The sign it is secure | | --- | --- | --- | | Secure the early questions | Questions rise in difficulty through the paper | The first third of a practice paper is done calmly and correctly | | Read the whole question | Reasoning questions hide the key detail | Underlines what is asked before calculating | | Estimate before choosing | Many wrong options are far from the right size | Rules out impossible options with a quick estimate | | Check the answer fits | A right method can still give a slipped answer | Substitutes the answer back or compares it with the estimate | ### If your child finds ICAS stressful ICAS is designed to stretch strong students, so finding later questions hard is normal, not a warning sign. Treat it as a challenge and a source of feedback, not a judgement. ### Other assessments Our [AMC by year page](/australian-mathematics-competition-practice-by-year) covers the Australian Maths Trust's competition. For coding, see [ICAS Digital Technologies practice](/icas-digital-technologies-practice). The catalogue ## Nine maths courses for ICAS students Grouped by paper range. Every card opens a full syllabus. I ### Papers Intro to D Years 2 to 6 ICMT / P / 01 #### Mental maths Number sense for quick, checked answers. [Open the syllabus](/courses/mental-maths-mastery-kids) ICMT / P / 02 #### Primary maths All strands, with reasoning. [Open the syllabus](/courses/elementary-mathematics-complete-masterclass) ICMT / P / 03 #### Problem solving for kids Patterns and logical thinking. [Open the syllabus](/courses/problem-solving-and-computational-thinking-for-kids)II ### Papers E to H Years 7 to 10 ICMT / M / 01 #### Middle years maths Ratios, angles and early algebra. [Open the syllabus](/courses/comprehensive-middle-school-mathematics-mastery) ICMT / M / 02 #### Algebra foundations Linear equations and factorising. [Open the syllabus](/courses/algebra-foundations-masterclass) ICMT / M / 03 #### Statistics and probability Data displays and chance. [Open the syllabus](/courses/statistics-probability-maths-course)III ### Papers I and J Years 11 and 12 ICMT / S / 01 #### Senior maths Indices, functions and trigonometry. [Open the syllabus](/courses/complete-high-school-mathematics-mastery) ICMT / S / 02 #### Financial maths Simple and compound interest in depth. [Open the syllabus](/courses/complete-business-finance-mathematics-mastery) ICMT / S / 03 #### Competition maths For students who want the hardest questions. [Open the syllabus](/courses/olympiad-competition-mathematics-mastery) How lessons run ## Live maths classes for ICAS students across Australia Our teachers work from India, behind every Australian time zone. A 4 pm lesson in Canberra during daylight saving begins at 10.30 am India time, so after-school classes are easy for us to schedule. Terms 2 and 3 Steady preparation before the August window. Weekly classes One topic area at a time. Holiday blocks Focused work on a weak learning area. ### Reasoning first Students explain why an answer must be right. ### Estimation habit Answers are checked against a rough size. ### Groups of fifteen to twenty Grouped by paper level. ### One-to-one option For a specific gap or a stretch goal. ### Short parent notes What was covered and one thing to practise. ### No result promises We teach maths; the result is the student's. Student work ## Projects from our students Made by learners for their own reasons, not for a test. See the rest 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 Australian families pay monthly in US dollars, the rate we use in every country outside India. No deposit, and you can stop at any month end. ICAS entry is separate and arranged through schools or ICAS Assessments. Free first class USD 0 no card required - A real lesson with a teacher - An honest view of your child's level - No card details Book it Group batch USD 100 a month, billed in US dollars - Fifteen to twenty students at one level - The same teacher every week - Work marked and explained - A certificate at the end Start here One to one USD 150 a month, billed in US dollars - A teacher for one student - Focused on chosen learning areas - A weekly time that suits you Enquire What families say ## Rated 4.9 across 547 Google reviews Families' reviews, quoted exactly from Google. ★★★★★ "The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content." Ria Mukherjee Parent ★★★★★ "Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease." Samriddha Mondal Student ★★★★★ "One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development." Vansh Agarwal Student ★★★★★ "My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative." Sonam Oswal Parent of Dhairya ★★★★★ "Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation." Sonu Goyal Parent ★★★★★ "I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding." Ritu Kedia Parent Questions about ICAS Mathematics ## What Australian families ask ### What is ICAS Mathematics? A maths assessment run by ICAS Assessments for students from Year 2 to Year 12 in Australia. Each year level sits its own paper, and questions grow harder through the paper. ### Which ICAS Maths paper will my child sit? Year 2 sits the Intro paper, Year 3 Paper A, and so on up to Year 12, which sits Paper J. ### How many questions are in ICAS Maths, and how long is it? The Intro paper has 30 questions in 35 minutes. Papers A to J have 40 questions: 45 minutes for Papers A to C and 1 hour from Paper D (Year 6) upwards. ### When is ICAS Maths held? In 2026 the Mathematics sitting window was 24 to 28 August. Check with the school or ICAS Assessments for the next year. ### How do students enter ICAS? Usually through their school. ICAS Assessments also describes testing centres hosted at Cliftons locations and authorised partners. We are not an entry provider. ### What areas does ICAS Maths cover? Number and Arithmetic, Algebra and Patterns, Measures and Units, Space and Geometry, and Chance and Data. ### How do you turn a recurring decimal into a fraction? Call the decimal x, multiply by a power of ten that lines up the repeating digits, and subtract so the repeating tail cancels. For 0.2727..., 100x minus x is 27, so x is 27 over 99, which is 3/11. ### Where can students find practice papers? ICAS Assessments sells past papers through its own shop. Our classes teach the mathematics with our own examples. ### Will your classes raise my child's ICAS result? We do not promise any result or award. We teach the mathematics the papers draw on, with reasoning and checking built in. ### Are you connected with ICAS Assessments? No. We are an independent online school, quoting ICAS Assessments because it runs the assessment. Related pages ## More maths for Australian students Other assessments and our main maths pages. ### [Maths tutoring in Australia](/online-maths-tutoring-australia) Our main maths page for Australia. ### [ICAS Digital Technologies](/icas-digital-technologies-practice) The coding and computing paper. ### [AMC practice by year](/australian-mathematics-competition-practice-by-year) The Australian Maths Trust's competition. ### [Maths Years 7 to 10](/australian-curriculum-maths-year-7-to-10-help) The curriculum behind the middle papers. ### [NAPLAN numeracy](/naplan-numeracy-practice-online) The national numeracy test. ### [Competitions calendar](/australian-coding-maths-and-ai-competitions-calendar) Every contest through the year. Start here ## Book a free maths class for ICAS Tell us the year level and which learning areas feel weakest. The free class works on those, with reasoning and estimation, and ends with honest advice. Would you rather browse? 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[Book a priority demo](/book-demo) ## Keep exploring Modern Age Coders ### More maths tuition - [ISEE & SSAT Math Prep Online](/isee-ssat-math-prep) - [Homeschool Math Curriculum (USA)](/homeschool-math-curriculum-usa) - [KS2 SATs Maths Papers Explained: Arithmetic and Reasoning](/ks2-sats-maths-papers-explained) - [Geometry Tutoring Online (USA)](/geometry-tutoring-online-usa) - [Math Kangaroo USA Preparation: Live Online, Grades 1 to 12](/math-kangaroo-usa-preparation) - [GCSE Maths Grades 1 to 9 Explained: What 4 and 5 Mean](/gcse-maths-grades-explained) - [11 Plus Maths Tuition Bournemouth and Poole](/11-plus-maths-tuition-bournemouth-christchurch-and-poole) - [11 Plus Maths Tuition Bexley](/11-plus-maths-tuition-bexley) - [Precalculus Tutoring Online](/precalculus-tutoring-online) ### Learn more - [KS2 SATs Maths: Arithmetic, Reasoning and Times Tables](/courses/ks2-sats-maths-course) - [Maths Tutor Cost in Australia 2026: Rates Explained](/maths-tutor-cost-australia-explained) - [11 Plus Maths Prep: UK Grammar & Independent School Entry](/courses/11-plus-maths-preparation-course-uk) - [National 5 vs Higher Maths: Pape Topics and the Jump](/national-5-vs-higher-maths) ### From the blog - [Maths Learning Guides](/blog/topic/maths) - [10 Mental Maths Tricks for Kids, With Worked Examples](/blog/mental-maths-tricks-for-kids) - [How to Write a Maths Proof: A Beginner's Guide with Examples](/blog/how-to-write-a-maths-proof) - [Does Online Maths Tuition Really Work? An Honest 2026 Answer](/blog/does-online-maths-tuition-work) ### Start here - [About Modern Age Coders, teaching since 2020](/about) - [Modern Age Coders pricing, one honest price per plan](/pricing) Free class[Priority demo](/book-demo)[Call us](tel:+919123366161) --- *Canonical: https://learn.modernagecoders.com/icas-maths-practice-online*