YHRV / C / 01
High school mathematics
Functions to calculus, revisited in order.
Open the syllabusAustralia · Year 12 · School holiday revision
Year 12 school holidays are short, and they disappear quickly. Students who use them well tend to do two things: they plan around real dates rather than a vague sense of "the holidays", and they revise in a way that makes topics stick rather than cramming them once. This page gives the dates for NSW and Victoria from the governments' own calendars, and a review method that takes ten minutes a day.
Dates from government calendars · A method, not a cram · Holiday lessons in your time zone
In short
Year 12 maths holiday revision pays off when it is planned around real dates and uses spaced review instead of cramming. In NSW in 2027, the winter holidays run from 5 to 16 July and the spring holidays from 27 September to 8 October, just before the HSC exam period. In Victoria, Term 3 of 2027 ends on 17 September and Term 4 starts on 4 October.
For holiday revision
The calculus core, the statistics strand, and harder problems for the final polish.

YHRV / 01
Functions, trigonometry and calculus revisited in order, the backbone of Year 12 revision in any state.
Open the syllabus →
YHRV / 02
Distributions, random variables and data, the strand students most often leave until too late.
Open the syllabus →
YHRV / 03
Unfamiliar questions that train flexible thinking, useful for the final weeks before the exams.
Open the syllabus →The 2027 dates
These dates are from the NSW Department of Education's term-dates page and the Victorian Government's school term dates page, both read on 7 October 2026. Non-government schools can set different dates, so check the school calendar too.
| Holiday | Dates | Where it falls for Year 12 |
|---|---|---|
| Autumn school holidays | Monday 12 April to Friday 23 April | After Term 1, early in Year 12 proper |
| Winter school holidays | Monday 5 July to Friday 16 July | Before trial exams in many schools |
| Spring school holidays | Monday 27 September to Friday 8 October | Immediately before the HSC exam period |
| Term 4 begins | Monday 11 October | The HSC exams usually run in this term |
| Term | Starts | Ends |
|---|---|---|
| Term 1 | Wednesday 27 January | Thursday 25 March |
| Term 2 | Monday 12 April | Friday 25 June |
| Term 3 | Monday 12 July | Friday 17 September |
| Term 4 | Monday 4 October | Friday 17 December |
In NSW, the spring holidays are the ones that matter most for Year 12: two weeks that end only days before the HSC exam period begins. In 2026 the written exams started their run on Tuesday 13 October, according to NESA's key dates.
The winter holidays are the other key window. Many schools run trial exams early in Term 3, so the July break is often the last chance to repair a weak topic calmly before trials.
In Victoria, the gap between Term 3 ending on Friday 17 September and Term 4 starting on Monday 4 October is the final holiday before the VCE examinations. Victorian students also have the mid-year break between Term 2 ending on 25 June and Term 3 starting on 12 July.
Before Year 12 even starts, the summer break matters too: the Victorian Government lists the 2026 to 2027 summer holidays as Monday 21 December 2026 to Wednesday 27 January 2027 for government schools. A light, steady start in summer makes Term 1 far less frantic.
Sources: NSW Department of Education, future and past NSW term dates and school holidays; Victorian Government, school term dates and holidays. Checked on 7 October 2026.
The exam windows
The most recent published timetables, for the 2026 exams, give a good picture of where the final holidays sit. VCE times include reading time. Read on 7 October 2026.
| Study and paper | Date | Time |
|---|---|---|
| General Mathematics Examination 1 | Friday 30 October | 2:00 to 3:45 pm |
| General Mathematics Examination 2 | Monday 2 November | 2:00 to 3:45 pm |
| Mathematical Methods Examination 1 | Thursday 5 November | 9:00 to 10:15 am |
| Mathematical Methods Examination 2 | Friday 6 November | 11:45 am to 2:00 pm |
| Specialist Mathematics Examination 1 | Monday 9 November | 9:00 to 10:15 am |
| Specialist Mathematics Examination 2 | Wednesday 11 November | 11:45 am to 2:00 pm |
| Foundation Mathematics | Tuesday 17 November | 3:00 to 5:15 pm |
For NSW, NESA's 2026 key dates say the HSC written exams start on Tuesday 13 October 2026 and finish no later than Thursday 5 November 2026. Individual subject dates sit on NESA's written exam timetable, which every student should check against their own personalised timetable.
For Victoria, the VCE mathematics papers above stretch from 30 October to 17 November in 2026. A student taking both Methods and Specialist has four mathematics papers in seven days, from 5 to 11 November.
The 2027 timetables were not published when this page was written. The pattern is useful anyway: the NSW spring holidays and the Victorian September break are each followed within days, or a few weeks, by the final exams, so they are revision time, not rest time.
Victoria's Examination 1 papers for Methods and Specialist are technology-free, which affects how the September break should be spent: plenty of by-hand practice, not only calculator work. Our Methods preparation page explains the structure.
Sources: VCAA, 2026 VCE examination timetable; NESA, 2026 HSC key dates. Checked on 7 October 2026.
A method that sticks
Cramming a topic once feels productive and fades fast. Spaced review, coming back to a skill at growing intervals, is a simple alternative, and the Leitner box system turns it into a routine anyone can follow with index cards.
Write one skill per card, such as "differentiate a quotient" or "find a conditional probability", with a fresh practice question on the back.
Box 1 is reviewed every day, Box 2 every second day, and Box 3 every fourth day. Every card starts in Box 1.
Answer a card correctly and it moves up one box. Get it wrong and it goes back to Box 1, wherever it was.
A worked example, invented by us, over the ten weekdays of the NSW winter break, 5 to 16 July 2027. Box 1 is reviewed on days 1 to 10, Box 2 on days 1, 3, 5, 7 and 9, and Box 3 on days 1, 5 and 9. Follow one card, "differentiate a quotient".
| Day | Box reviewed | Result | Card moves to |
|---|---|---|---|
| 1 | Box 1 | Correct | Box 2 |
| 3 | Box 2 | Correct | Box 3 |
| 5 | Box 3 | Wrong | Box 1 |
| 6 | Box 1 | Correct | Box 2 |
| 7 | Box 2 | Correct | Box 3 |
| 9 | Box 3 | Correct | Stays in Box 3 |
The card was reviewed 6 times in 10 days instead of 10, and the reviews clustered where they were needed: after the mistake on day 5 it came back the very next day, then spread out again once it was secure. Multiply that across fifty cards and the saving in time is large.
The system also produces an honest map of revision. Cards that keep falling back to Box 1 are the topics to bring to a tutor or teacher; cards that sit in Box 3 are secure and need only occasional checks.
The practice question on the back of each card should change every few reviews, so the student is solving a problem rather than remembering an answer. That is where a bank of varied questions, from past papers or a tutor, earns its keep.
This is also a tiny algorithm, and students who code enjoy writing it: a list of cards, each with a box number, and a rule for which boxes to review on a given day. The Python courses on our course atlas start from programs about this size.
A holiday plan
Our suggested structure, not an official one. Adjust it to the school's trial dates and the student's weakest topics.
| Days | Focus | Daily routine |
|---|---|---|
| 1 to 2 | Diagnose | One mixed practice set; turn every error into a Leitner card |
| 3 to 6 | Repair | Two weak topics a day, one hour each, then the day's Leitner boxes |
| 7 | Rest | No maths; the spacing works better with a gap |
| 8 to 11 | Practise | Timed exam sections, marked honestly, new cards for new errors |
| 12 to 14 | Rehearse | Full papers under exam conditions, then light Leitner review only |
Two hours a day of focused work, plus ten to fifteen minutes of card review, is enough for most students and leaves room for rest. Longer days usually trade quality for quantity, and tired revision tends not to stick.
Holiday lessons with us follow the same idea: each session starts by reviewing the student's Box 1 cards, then tackles one weak topic properly. We teach with our own questions, never a school's assessment task, and we never promise a band or a study score.
Across the year
The holidays are only part of it. These are the points in the year where revision pays most.
| When | Moment | What to do |
|---|---|---|
| Summer before Year 12 | Warm start | Re-cover Year 11 basics lightly, a few cards a day |
| Mid-year break | Repair | Fix the two or three weakest topics before trials |
| After trials | Learn from errors | Turn every lost mark into a card |
| Final break | Rehearse | Full papers under timed conditions |
A fixed daily slot works better than good intentions. Ten minutes of cards at the same time each day builds the habit.
Studying with a friend, quizzing each other's cards, makes the routine easier to keep.
For the courses themselves, see our pages on Standard, Advanced and Extension 1.
For how results turn into a rank, see the ATAR explained.
The catalogue
Grouped by what they revise. Every card opens a full syllabus.
YHRV / C / 01
Functions to calculus, revisited in order.
Open the syllabusYHRV / C / 02
For algebra slips that cost marks everywhere.
Open the syllabusYHRV / C / 03
Written for the US AP exam; plenty of derivative and integral drill.
Open the syllabusYHRV / S / 01
Distributions and data, step by step.
Open the syllabusYHRV / S / 02
Financial mathematics for applied courses.
Open the syllabusYHRV / S / 03
Statistics and linear algebra in context.
Open the syllabusYHRV / F / 01
Unfamiliar problems for flexible thinking.
Open the syllabusYHRV / F / 02
A different syllabus, useful for varied question styles.
Open the syllabusYHRV / F / 03
For students looking ahead to first-year maths.
Open the syllabusHoliday lessons
Our tutors teach from India, so holiday mornings in Australia line up with the Indian morning and early afternoon. In winter Sydney and Melbourne are four and a half hours ahead of India time; under daylight saving the gap is five and a half hours, and Perth stays two and a half hours ahead all year.
Holiday mornings
Focused revision blocks during the break.
Weekday afternoons in term
Regular weekly lessons through Year 12.
Weekend mock papers
Timed practice with review afterwards.
Each session begins with the student's own Box 1 cards.
Better one weak topic fixed than five skimmed.
New practice problems so answers are worked, not remembered.
Year 12 students in the same course, each explaining aloud.
A tutor for a single student and a single topic list.
We never promise a band, study score or rank.
Student work
Personal projects, separate from school work. Find more in our student labs.

AI and ML
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Questions about holiday revision
The NSW Department of Education lists autumn holidays from 12 to 23 April, winter holidays from 5 to 16 July, and spring holidays from 27 September to 8 October 2027, for government schools.
The Victorian Government lists Term 1 from 27 January to 25 March, Term 2 from 12 April to 25 June, Term 3 from 12 July to 17 September, and Term 4 from 4 October to 17 December 2027.
For 2026, NESA says the HSC written exams start on 13 October and finish no later than 5 November. The 2027 timetable had not been published when this page was written.
In 2026, VCAA scheduled General Mathematics on 30 October and 2 November, Mathematical Methods on 5 and 6 November, Specialist Mathematics on 9 and 11 November, and Foundation Mathematics on 17 November.
A spaced-repetition routine. Skills go on cards in numbered boxes reviewed at growing intervals, such as daily, every second day and every fourth day. A correct answer moves a card up a box; a wrong answer sends it back to the first box.
There is no official number. Our suggestion is about two hours of focused work a day plus ten to fifteen minutes of card review, with at least one full rest day each week.
Usually not. Holidays suit repairing weak topics and practising exam conditions; new content is better learned during term with the class.
Each state sets its own calendar. This page covers NSW and Victoria from their governments' pages; students elsewhere should check their own education department.
No. Revision helps, but results belong to the student, and we never promise a band, study score or rank.
Yes. Holiday sessions are live and online, usually in the Australian morning, and can be one-to-one or in a small group.
Related pages
The courses, the rank, and the earlier years.
The NSW calculus course and its paper.
Standard 1 and Standard 2 explained.
How VCE Methods is built and assessed.
Ranks and scaling, from the sources.
For a break from maths that still builds skills.
Our method in plain words.
Start here
Tell us the state, the course and the topics that feel weakest. The free lesson starts a revision plan and fixes one topic properly.
Reading first? Course outlines are on the course atlas, our approach is on how we teach, and contests for the year are on the competitions calendar.
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