--- title: "Maths Tutor in Chatswood | K to 12, HSC Maths and Adults" description: "Online maths tutor for Chatswood, Kindergarten to Year 12 and adults: NSW syllabus maths and HSC Standard, Advanced, Extension 1 and 2, live in Sydney time." canonical: https://learn.modernagecoders.com/maths-tutor-chatswood source: src/pages/maths-tutor-chatswood.html --- > Online maths tutor for Chatswood, Kindergarten to Year 12 and adults: NSW syllabus maths and HSC Standard, Advanced, Extension 1 and 2, live in Sydney time. Maths tutor in Chatswood, in brief For Chatswood, Modern Age Coders provides live online maths teaching to anyone from 6 to 67: Kindergarten to Year 10 under the NSW syllabus, all four HSC maths courses up to Extension 2, and adult maths. Teaching happens over video at Sydney times, either privately or with up to twenty classmates at the same stage. Our Chatswood example uses lowest common multiples to show why a Year of the Goat is never a leap year. The first lesson is free. Where Chatswood learners start ## Number sense, junior algebra and HSC maths Three courses for the most common Chatswood requests; the full list is below. [![Mental Maths for Kids course thumbnail](/images/mental-maths-kids.webp) CHW / 1 Number sense for young learners Multiples, factors and patterns, the ideas behind every later cycle puzzle. Open the syllabus →](/courses/mental-maths-mastery-kids)[![Middle School Mathematics Mastery course thumbnail](/images/middle-school-maths.webp) CHW / 2 Years 7 to 10 maths Factors and multiples, algebra and geometry, with reasoning written out. Open the syllabus →](/courses/comprehensive-middle-school-mathematics-mastery)[![High School Mathematics course thumbnail](/images/high-school-maths.webp) CHW / 3 HSC maths Functions, calculus and proof for Advanced, Extension 1 and Extension 2. Open the syllabus →](/courses/complete-high-school-mathematics-mastery) A Chatswood worked example ## Will a Year of the Goat ever be a leap year? Two repeating cycles, a 12-year cycle of animal years and a 4-year cycle of leap years, line up in a fixed pattern. The lowest common multiple tells us the pattern. Chatswood's festival page says "Thank you for a fantastic Year of the Horse celebration. See you in February 2027 for Year of the Goat!"; it also shows pictures from "Chatswood's Year of the Dragon". The Goat years are 2027, 2039, 2051 and so on, 12 apart. Leap years are, almost always, the years divisible by 4. Since LCM(12, 4) = 12, adding 12 never changes a year's remainder on division by 4, so the pattern locks in. | Animal years | Example years | Remainder when divided by 4 | Leap years? | | --- | --- | --- | --- | | Dragon | 2024, 2036, 2048 | 0 | Always, until the century rule | | Horse | 2026, 2038, 2050 | 2 | Never | | Goat | 2027, 2039, 2051 | 3 | Never | | Year | Weekday of 13 February | Leap days since the previous Goat year | | --- | --- | --- | | 2027 | Saturday | n/a | | 2039 | Sunday | 3 | | 2051 | Monday | 3 | | 2063 | Tuesday | 3 | | 2075 | Wednesday | 3 | | 2087 | Thursday | 3 | | 2099 | Friday | 3 | | 2111 | Friday | 2 (2100 is not a leap year) | ### One weekday per cycle Twelve years with three leap days are 4,383 days, which is 626 weeks and 1 day. So 13 February slides one weekday later every Goat year, from Saturday in 2027 to Friday in 2099. ### The simple rule wins, for a while Counting "one day per year plus one per leap day" predicts every row correctly until 2099. No calendar software is needed for most of this century. ### Then the century rule bites The year 2100 is divisible by 4 but not by 400, so it is not a leap year. That cycle has only 2 leap days and 4,382 days, exactly 626 weeks, so 2111 is a Friday again. ### What students practise Multiples, factors, remainders, the lowest common multiple and the greatest common divisor, and reasoning about repeating patterns rather than listing every case. Years 7 and 8 students handle the leap-year table; senior students can prove that a 12-year shift preserves the remainder modulo 4. ### Why a festival calendar The festival is a real Chatswood event with real dates: Willoughby City Council lists the Chatswood Year of the Horse Festival among its sites. Neither the festival nor the council is connected with us; we only use the published years and dates. The calendar arithmetic is ours, checked with the standard Gregorian rules. Sources: [Visit Chatswood, Lunar New Year festival](https://www.visitchatswood.com.au/LNY/Home) and [Willoughby City Council](https://www.willoughby.nsw.gov.au/), read 14 October 2026. Calendar calculations are our own. More cycle puzzles ## The same idea in everyday questions Once students see that repeating cycles meet at the lowest common multiple, they find the pattern everywhere. | Two cycles | Lengths | They line up again after | | --- | --- | --- | | A weekly class and a fortnightly test | 7 days and 14 days | 14 days | | Buses every 4 minutes and every 6 minutes | 4 and 6 | 12 minutes | | A 12-year animal cycle and the 7-day week, ignoring leap days | 12 and 7 | 84 (LCM of 12 and 7) | | Lights flashing every 3, 4 and 5 seconds | 3, 4 and 5 | 60 seconds | ### LCM and HCF together For two numbers, the lowest common multiple times the highest common factor equals the product. For 4 and 6 that is 12 times 2, which equals 24. Students check the rule on several pairs before they trust it. The calendar puzzle uses the LCM; simplifying fractions uses the HCF. They are two sides of the same factor list. ### When the simple model breaks Real calendars carry exceptions, like the year 2100. Good maths students learn to state the model, use it, and then ask where it stops being true. That habit matters far beyond calendars, from timetables to physics. HSC mathematics ## Choosing HSC maths in Chatswood NSW students in Years 11 and 12 choose among the Stage 6 mathematics courses published by NESA. | Course | Suits | More detail | | --- | --- | --- | | Mathematics Standard | Practical, applied maths | [HSC Standard tutoring](/hsc-maths-standard-tutoring) | | Mathematics Advanced | Calculus-based study | [HSC Advanced tutoring](/hsc-maths-advanced-tutoring) | | Mathematics Extension 1 | Strong Advanced students | [HSC Extension 1 tutoring](/hsc-maths-extension-1-tutoring) | | Mathematics Extension 2 | Proof and the hardest problems | [HSC Extension 2 tutoring](/hsc-maths-extension-2-tutoring) | ### Past papers, used well NESA encourages students to "Look at past HSC exam papers for Mathematics courses with marking guidelines and feedback to help you get ready for your exams." We use them that way: one paper at a time, marked against the guidelines, with the mistakes turned into the next lesson. ### No band promises Tutoring improves understanding and exam habits; it cannot promise a band, a mark or an ATAR, and we never suggest otherwise. Schools set assessment tasks for students to complete themselves, and we keep it that way. Quoted from the [NESA Stage 6 Mathematics page](https://www.educationstandards.nsw.edu.au/wps/portal/nesa/11-12/stage-6-learning-areas/stage-6-mathematics) as it read on 14 October 2026. Kindergarten to Year 10 ## Patterns and multiples from Kindergarten up The calendar puzzle rests on ideas that start in the first years of school and grow every year. | Years | Idea | A Chatswood-style task | | --- | --- | --- | | Kindergarten to 2 | Repeating patterns | Continue a pattern of red and gold lanterns | | 3 to 6 | Multiples and times tables | Which years between 2024 and 2060 are leap years? | | 7 and 8 | Factors, multiples, LCM and HCF | When do a 12-year and a 4-year cycle line up? | | 9 and 10 | Remainders and simple proof | Show that adding 12 keeps the remainder on division by 4 | ### Tests along the way Families with OC and selective tests in mind can read [OC test maths](/oc-test-maths-practice-nsw) and [selective test mathematical reasoning](/nsw-selective-test-mathematical-reasoning-practice). Problem solvers may enjoy the [Australian Mathematics Competition practice](/australian-mathematics-competition-practice-by-year). Everything else on this page is about ordinary week-to-week maths. ### Chatswood learners The 2021 Census counted 1,979 Chatswood residents at primary school and 1,592 at secondary school, with 719 in vocational education and 1,836 at university. There were 1,227 residents aged 15 to 19. Every one of them could join a lesson from home. Source: ABS, [2021 Census QuickStats, Chatswood](https://abs.gov.au/census/find-census-data/quickstats/2021/SAL10891), read 14 October 2026. Sydney time ## Lessons through the 2027 NSW school year Lessons follow the NSW terms on the Sydney clock, which moves for daylight saving in October and April. ### The 2027 calendar NSW public schools in the Eastern division start Term 1 on Thursday 28 January 2027, and Term 4 runs from Monday 11 October to Monday 20 December. Revision blocks before the HSC exams are planned around those dates. ### The teacher's side of the clock Our teachers work in India, which has no daylight saving. A 6:30pm Chatswood lesson is 2pm for the teacher in winter and 1pm in summer. Families keep the same lesson time all year. ### Private lessons One teacher, one learner: ideal for a gap, a deadline or a learner who prefers it. ### Classes Fifteen to twenty learners at one level, with questions that help everyone. ### Working on show Each line of reasoning goes up on a shared whiteboard for the teacher to follow. Source: NSW Department of Education, [term dates](https://education.nsw.gov.au/schooling/calendars/future-and-past-nsw-term-and-vacation-dates), read 14 October 2026. Adult learners ## Maths for adults in Chatswood Adults study in their own classes or privately, usually for practical reasons. ### Back to basics Fractions, percentages and ratio, rebuilt calmly with time for every question. ### For work Estimating, checking figures and reading charts, with an eye for numbers that do not add up. ### For the family Understanding how schools teach methods now, so homework help agrees with class. The calendar puzzle is a good first lesson for adults too: it needs only multiples and remainders, and it ends with a genuine surprise in the year 2100. Progress ## From patterns to proof A learner moves to the next stage when the skill works on a fresh problem. | Typically | Stage | Checked by | | --- | --- | --- | | Kindergarten to Year 2 | 1. Patterns | Continuing and describing a repeating pattern | | Years 3 to 6 | 2. Multiples | Listing multiples and spotting common ones | | Years 7 to 10 | 3. LCM and remainders | Explaining when two cycles line up | | Years 11 and 12 | 4. Proof | Proving a pattern holds for every case | ### Arriving in Year 11 Late starters usually need algebra and functions strengthened first; we say how long that should take. It makes Stage 6 far more manageable. ### Adults Adults often enjoy pattern and number puzzles more than they expect. Adult classes are kept separate from school students. Course list ## Maths courses for Chatswood By stage. Cards use our international course names; lessons follow the NSW stages and HSC courses. I ### Kindergarten to Year 6 Primary CHW / P1 #### Early number Ages 4 to 7, hands on. [Open the syllabus](/courses/early-math-foundations) CHW / P2 #### Primary maths Each topic in turn. [Open the syllabus](/courses/elementary-mathematics-complete-masterclass) CHW / P3 #### Abacus Mental arithmetic, 5 to 10. [Open the syllabus](/courses/abacus-mental-maths-course-for-kids)II ### Years 7 to 10 Stages 4 and 5 CHW / S1 #### Algebra foundations A fresh start on algebra. [Open the syllabus](/courses/algebra-foundations-masterclass) CHW / S2 #### Competition maths Number theory and puzzles. [Open the syllabus](/courses/olympiad-competition-mathematics-mastery) CHW / S3 #### Maths through coding Calendars and patterns in Python. [Open the syllabus](/courses/maths-through-coding)III ### Stage 6 and adults Senior and beyond CHW / H1 #### HSC maths Standard to Extension 2. [Open the syllabus](/courses/complete-high-school-mathematics-mastery) CHW / H2 #### Statistics Data and probability. [Open the syllabus](/courses/statistics-probability-maths-course) CHW / H3 #### University maths Beyond the HSC. [Open the syllabus](/courses/college-mathematics-complete-masterclass) How it works ## A maths week for Chatswood families Lessons sit at fixed Sydney times, with the October and April clock changes absorbed on our side. After school Kindergarten to Year 10. Evenings HSC students and adults. Weekends Longer lessons by request. ### A steady teacher The same teacher week after week. ### Notes home Brief, honest updates for parents. ### Levelled classes Grouped by skill, not just age. ### Real puzzles Local dates and data alongside textbook work. ### HSC run-up Private lessons can be added before trials. ### Reasoning aloud Learners explain before practising. Student work ## Projects our learners built Things made by students who began with maths like this. 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 for Chatswood maths lessons Outside India, lessons are billed once a month in US dollars. Joining is free and you can stop whenever a month ends. Free first class USD 0 no card required - A real lesson at the right level - Straight advice afterwards - No card needed Book it Group batch USD 100 a month, billed in US dollars - Fifteen to twenty learners at one level - One teacher across the term - Marked practice - Stop at any month end Start here One to one USD 150 a month, billed in US dollars - Private teaching - One goal at a time - Helpful before HSC trials Enquire What families say ## Rated 4.9 across 547 Google reviews Families reviewing us on Google, verbatim. ★★★★★ "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 Chatswood maths questions ## Questions about a maths tutor in Chatswood ### Can Chatswood students have maths lessons with you? Yes. Lessons are online and scheduled on Sydney time, for Kindergarten to Year 12 and adults, as private lessons or level-matched classes. ### Which of the HSC maths courses can you help with? All four: Standard for applied maths, Advanced for calculus, and Extension 1 and Extension 2 for students who want more depth. ### Is a Year of the Goat ever a leap year? No. Goat years are 12 apart and 12 is a multiple of 4, so every Goat year leaves remainder 3 on division by 4. 2027, 2039 and 2051 are all ordinary years. ### What is a lowest common multiple? The smallest number that is a multiple of two or more numbers. LCM(12, 4) is 12, which is why the animal-year and leap-year cycles line up the same way every time. ### What weekday is 13 February 2027? A Saturday. In each later Goat year it moves one weekday on, reaching Friday in 2099; because 2100 is not a leap year, it is Friday again in 2111. ### Can you guarantee an HSC band? No tutor can. We aim for real understanding and tell you frankly how it is going; the band and the ATAR are earned in the exams. ### Do lessons move when the clocks change? No. Lessons stay at the same Sydney time; we adjust the teacher's schedule. ### Do you teach adults? Yes, in adult classes or one to one. ### Why is 2100 not a leap year? Under the Gregorian rules, a year divisible by 100 is a leap year only if it is also divisible by 400. 2000 was a leap year; 2100 will not be. ### Is there a charge for the first lesson? No. It is free; monthly fees after that are shown in the fees panel. Also on this site ## More for Chatswood families NSW maths pages and our Chatswood coding page. ### [HSC Extension 2](/hsc-maths-extension-2-tutoring) Proof and complex numbers. ### [HSC Advanced](/hsc-maths-advanced-tutoring) Calculus-based senior maths. ### [Selective test maths](/nsw-selective-test-mathematical-reasoning-practice) For Year 6 applicants. ### [Maths tutor in Parramatta](/maths-tutor-parramatta) Another Sydney suburb page. ### [Maths tutor in Sydney](/maths-tutor-sydney) The citywide page. ### [Coding in Chatswood](/vibe-coding-and-ai-agents-classes-in-chatswood-sydney) Programming and AI classes. Start here ## Book a free Chatswood lesson Let us know the year level and the topic causing trouble. The free lesson is taught properly, and afterwards you get our honest recommendation. Background reading: [our teaching approach](/how-we-teach), and [online maths lessons across Australia](/online-maths-tutoring-australia). [WhatsApp us](https://wa.me/919123366161?text=Hello%20Modern%20Age%20Coders%2C%20I%20would%20like%20a%20free%20maths%20lesson%20for%20a%20learner%20in%20Chatswood.) · [+91 91233 66161](tel:+919123366161) · [connect@modernagecoders.com](mailto:connect@modernagecoders.com) Replies come from India, where our teachers are based, so the number has a +91 code. We do not have a Chatswood office. WhatsApp is usually quickest. ### Want a class sooner? Book a priority demo A priority demo is a full class of about 45 to 60 minutes. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off. [Book a priority demo](/book-demo) ## Keep exploring Modern Age Coders ### More maths tuition - [Maths Tutor in Glen Waverley](/maths-tutor-glen-waverley) - [Maths Tutor in Canberra](/maths-tutor-canberra) - [Maths Tutor Gold Coast](/maths-tutor-gold-coast) - [Maths Tutor in Brisbane](/maths-tutor-brisbane) - [Maths Tutor in Hobart](/maths-tutor-hobart) - [Maths Tutor in Box Hill](/maths-tutor-box-hill) - [Maths Tuition in Edinburgh](/maths-tuition-in-edinburgh) - [Maths Tutor in Perth, WA](/maths-tutor-perth-wa) - [SACE Mathematical Methods Tutoring](/sace-mathematical-methods-tutoring) ### Learn more - [Maths Classes for Adults in the UAE](/maths-classes-for-adults-uae) - [Online Maths Tuition in the UAE](/online-maths-tuition-uae) - [A-Level Maths Tutor in the UAE](/a-level-maths-tutor-uae) - [Maths Tutor in Dubai](/maths-tutor-in-dubai) ### From the blog - [Maths Learning Guides](/blog/topic/maths) - [Estimation in Maths: Rounding, Fermi Problems and Checks](/blog/estimation-in-maths) - [Modular Arithmetic: Clock Maths for Olympiads and Code](/blog/modular-arithmetic-explained) - [How Coding and Mathematics Work Together in Engineering & Science](/blog/coding-mathematics-engineering-science) ### Start here - [Try a free trial class with a Modern Age Coders mentor](/free-trial) - [About Modern Age Coders, teaching since 2020](/about) Free class[Priority demo](/book-demo)[Call us](tel:+919123366161) --- *Canonical: https://learn.modernagecoders.com/maths-tutor-chatswood*