New South Wales · Year 11 mathematics · Live online

Year 11 HSC maths help

Year 11 is the year NSW students often underestimate. There is no HSC exam at the end of it, so it can feel like a warm-up. It is not: the Year 11 course is assumed knowledge for the HSC papers and may be examined in them. The students who arrive in Year 12 calm are the ones who treated Year 11 as the foundation it is.

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Read from the 2024 NSW syllabuses · Foundations for the HSC · Lessons after school in NSW time

In short

In NSW, Year 11 mathematics means one of three Preliminary courses under the 2024 syllabuses: Mathematics Standard, Mathematics Advanced, or Advanced with Mathematics Extension 1. Year 11 ends in a grade sent to NESA rather than an HSC exam, but the Year 11 course is assumed knowledge for the Year 12 HSC examinations and may be examined in them.

A good place to begin

Three courses that make Year 11 solid

Algebra that holds, then functions and trigonometry, then counting and proof for Extension 1 students.

Algebra Foundations course thumbnail

YMNP / 01

Algebra that holds

Rearranging, indices and factorising, the skills every Year 11 course quietly assumes from Year 10.

Open the syllabus →
High School Mathematics course thumbnail

YMNP / 02

Functions and trigonometry

Graphs, transformations, angles and a first derivative, matching the Year 11 Advanced course.

Open the syllabus →
Maths Olympiad & Competition Course course thumbnail

YMNP / 03

Counting and proof

Permutations, combinations and careful argument for students taking Extension 1 in Year 11.

Open the syllabus →

The Year 11 courses

Three courses, chosen at the start of Year 11

Focus areas below are from NESA's 2024 course structures for each syllabus, read on 7 October 2026.

Year 11 mathematics under the 2024 NSW syllabuses
CourseNESA course number and sizeYear 11 focus areas
Mathematics Standard11236; 120 hours; 2 unitsFormulas and equations; Linear relationships; Earning money; Managing money; Applications of measurement; Time and location; Networks, paths and trees; Data analysis
Mathematics Advanced11255; 120 hours; 2 unitsWorking with functions; Graph transformations; Trigonometry and measure of angles; Trigonometric identities and equations; Introduction to differentiation; Exponential and logarithmic functions; Probability and data
Mathematics Extension 111250; 60 hours; 1 unit; taken with Year 11 AdvancedFurther work with functions; Polynomials; Further trigonometry; Permutations and combinations; The binomial theorem

The three courses lead to different places. Year 11 Standard is the shared first year for both Standard 1 and Standard 2 in Year 12. Year 11 Advanced leads to Year 12 Advanced, and it is a prerequisite for both extension courses. Extension 1 in Year 11 can only be taken alongside Year 11 Advanced, because NESA lists Advanced as its corequisite.

NESA also sets exclusions: a student cannot be enrolled in Year 11 Standard and Year 11 Advanced at the same time. The choice made at the start of Year 11 therefore shapes the Year 12 options, which is why the first term matters.

All three syllabuses are new. NESA describes the 2024 syllabuses as implemented from 2026, and the take-home task rules discussed below also start changing for Year 11 in 2027. Students and families reading older guides should check that topic names match the 2024 lists above.

Within Advanced, two Year 11 focus areas carry most of the weight later on: Graph transformations, which every Year 12 function question leans on, and Introduction to differentiation, which opens the calculus that fills Year 12. Those are the two we watch most closely.

Sources: NSW Curriculum course structures for Mathematics Standard, Mathematics Advanced and Mathematics Extension 1 (2024). Checked on 7 October 2026.

How the year is assessed

A grade, not an HSC exam

Year 11 results work differently from Year 12. The points below come from NESA's school-based assessment pages and official notice 34/26, checked on 7 October 2026.

How NESA handles Year 11 mathematics
QuestionAnswer from NESA
What does the school report?A grade for each student at the end of the course, allocated with on-balance judgement against the Common Grade Scale
What informs the grade?All available assessment information, formal and informal
How is the program weighted?Two mandatory components of 50% each: knowledge and understanding, and working mathematically
When are 2026 grades due?Schools submit Year 11 grades by 21 October 2026
Take-home tasksLimited to one, worth no more than 15%, under the revised ACE Rules

Because the Year 11 result is a grade built from on-balance judgement, every task during the year contributes evidence. A student who coasts through formal tasks and leaves revision for later gives the teacher less to judge from, and arrives in Year 12 with less learned.

NESA's official notice 34/26 sets out when the take-home changes reach Year 11: they apply to Year 11 students commencing Preliminary courses from Term 1, 2027, and to students on a compressed model starting from Week 6, Term 4 of 2026.

The limit of one take-home task means more of the year is assessed in class, and more depends on what a student can do without notes or help. That shifts the value of tutoring from finishing tasks to building understanding early, which is the only kind of help we offer.

We never prepare, write, edit or check a task that a school will assess. We teach the mathematics with fresh examples, so the student can meet the school task on their own.

Sources: NSW Curriculum, school-based assessment (Advanced example); NESA official notice 34/26; NESA 2026 key dates. Checked on 7 October 2026.

Graph transformations

Order matters: dilate, then translate

Graph transformations is a Year 11 Advanced focus area, and the most common error is applying the right transformations in the wrong order. Two quick checks with points make the rule unforgettable.

A worked lesson, written by us. Start with y = x squared, which passes through (0, 0) and (1, 1). Apply two vertical changes: stretch vertically by a factor of 2, and move up by 3. Then try the same two changes in the opposite order.

Two vertical transformations of y = x squared, in two orders
OrderRule after both stepsWhere (0, 0) goesWhere (1, 1) goes
Stretch by 2, then up 3y = 2x squared + 3(0, 3)(1, 5)
Up 3, then stretch by 2y = 2(x squared + 3) = 2x squared + 6(0, 6)(1, 8)

The two orders give different graphs. Moving up first means the stretch also doubles the 3, so the graph lands 6 units up instead of 3. The same thing happens horizontally, where it is even easier to slip.

Two horizontal transformations of y = x squared: move right 2, and stretch horizontally by 3
OrderRule after both stepsTurning point
Right 2, then stretch by 3y = (x/3 minus 2) squared(6, 0)
Stretch by 3, then right 2y = ((x minus 2)/3) squared(2, 0)

Moving right by 2 first puts the turning point at x = 2; stretching horizontally by 3 then carries it out to x = 6. Stretching first leaves the turning point at the origin, and the move right by 2 then puts it at x = 2. Same two instructions, turning points four units apart.

The habit we teach is simple: before trusting any transformed equation, track one or two easy points through each step and check they land where the equation says. It takes ten seconds and catches nearly every order error.

This is exactly the kind of reasoning the Skills in Working mathematically component rewards: not just the right equation, but an explanation of why it is right. A student who can say "the stretch acts on the translation too" understands the topic.

Graphing software makes the check visual. Students who code can plot both versions in a few lines of Python and watch the curves separate, which tends to settle the rule for good. The written check with points is still the one to use in an exam.

Why Year 11 still counts

Year 11 inside the HSC papers

Each 2024 HSC examination page says the exam is based on Year 12 but that Year 11 content is assumed knowledge. These are NESA's statements, checked on 7 October 2026.

How the HSC papers treat Year 11 content
CourseWhat NESA says about Year 11
Standard 1 and Standard 2The Year 11 Standard course is assumed knowledge and may be examined
AdvancedThe Year 11 Advanced course is assumed knowledge and may be examined
Extension 1The Advanced course and Extension 1 Year 11 are assumed knowledge; Extension 1 Year 11 may be examined

In practice this means a gap left in Year 11 resurfaces twice: once in Year 12 lessons, where teachers assume it, and again in the HSC paper, where it can be asked directly. Fixing a Year 11 weakness in Year 11 costs a few weeks; fixing it in Term 3 of Year 12 costs far more.

For a full picture of each Year 12 course and its HSC paper, see our pages on Mathematics Standard, Mathematics Advanced and Mathematics Extension 1.

Through the year

Four checkpoints across Year 11

These are our teaching checkpoints, set by skill rather than by school term.

Year 11 mathematics, checkpoint by checkpoint
WhenCheckpointEvidence it is in place
Start of Year 111. Year 10 algebraRearranges any formula and factorises without hesitating
Early Year 112. FunctionsDescribes domain, range and shape from an equation
Mid Year 113. TransformationsTracks points through each step in the correct order
Late Year 114. Ready for Year 12Handles a mixed set of Year 11 questions under time

If Year 11 starts badly

A rough first term is common and fixable. The cause is usually algebra from Year 10, and repairing it early unlocks the rest of the course.

Logarithms and trigonometric identities are the two topics where students most often need a second, slower explanation.

From Year 10

Students still in Year 10 can prepare with our page on Year 10 preparation for senior mathematics.

Students curious about computing alongside maths can read about choosing Year 11 computing subjects.

The catalogue

Nine courses for Year 11 students

Grouped by which Year 11 course they support. Every card opens a full outline.

I

Year 11 Standard

Applied mathematics

YMNP / S / 01

Middle school mathematics

Percentages, rates and equations rebuilt from the ground.

Open the syllabus

YMNP / S / 02

Business and finance maths

Earning and managing money, the Year 11 financial topics.

Open the syllabus

YMNP / S / 03

Statistics and probability

Data analysis and probability, explained with real data.

Open the syllabus
II

Year 11 Advanced

Functions to differentiation

YMNP / A / 01

Algebra foundations

Indices, logarithm-ready algebra and rearranging.

Open the syllabus

YMNP / A / 02

High school mathematics

Functions, trigonometry and a first derivative in sequence.

Open the syllabus

YMNP / A / 03

Maths through coding

Plotting and testing functions with Python.

Open the syllabus
III

Year 11 Extension 1

Polynomials and counting

YMNP / E / 01

Competition mathematics

Counting, combinations and proof on harder problems.

Open the syllabus

YMNP / E / 02

IB Mathematics

Polynomials and the binomial theorem from an international course.

Open the syllabus

YMNP / E / 03

Further mathematics

For Extension 1 students hungry for more algebra and proof.

Open the syllabus

Lessons in practice

Steady weekly lessons through Year 11

Our tutors are based in India. Sydney runs four and a half hours ahead of India time in winter and five and a half hours ahead after NSW daylight saving begins in October. A lesson at 4.30 pm in Sydney during summer begins at 11 am for the tutor, so after-school times are easy for us to offer.

A weekday afternoon

One steady lesson a week suits most Year 11 students.

Saturday morning

For catching up on a topic the class has moved past.

Term breaks

Revision before the end-of-year tasks.

Foundations checked early

A quick diagnostic in the first lesson shows which Year 10 skills need repair.

Points before equations

Students test every transformed graph with a point or two before trusting it.

Explaining, not reciting

Each lesson ends with the student explaining one idea in their own words.

Fifteen to twenty per class

Year 11 students in the same course, each speaking up every week.

One-to-one too

Individual lessons for a student with a specific gap.

No grade promises

We do not promise a grade. We make the mathematics clear and the work is the student's.

Student work

Projects our students have published

Work students made for themselves, not for school. More in the student labs.

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

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

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A weather forecasting site with live conditions for any location.

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Fees

Fees

A flat monthly fee in US dollars, the same for every family outside India. No joining cost, and payment only ever covers the current month.

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  • Five to ten Year 11 students
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  • Practice reviewed together
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  • Built around specific gaps
  • Ideal when a topic will not click
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Questions about Year 11

What NSW Year 11 families ask

What is Preliminary HSC maths?

It is the Year 11 stage of NSW senior mathematics. Under the 2024 syllabuses, students take Year 11 Mathematics Standard, Year 11 Mathematics Advanced, or Year 11 Advanced together with Year 11 Mathematics Extension 1.

Is there an HSC exam at the end of Year 11?

No. NESA requires schools to submit a grade for each Year 11 student, based on all the assessment information gathered across the course.

Does Year 11 maths count in the HSC?

Yes, indirectly. NESA states that the Year 11 course is assumed knowledge for each Year 12 HSC examination and may be examined.

Can I take Year 11 Standard and Advanced together?

No. NESA lists each as an exclusion for the other. Extension 1 in Year 11 must be taken with Year 11 Advanced.

What is a graph transformation?

A change to a graph made by changing its equation: moving it, stretching it or reflecting it. The order of steps matters, because a stretch applied after a move also stretches the move.

When do the new take-home rules reach Year 11?

NESA official notice 34/26 says they apply to Year 11 students commencing Preliminary courses from Term 1, 2027, and to compressed-model students from Week 6, Term 4 of 2026.

When are Year 11 grades submitted?

For 2026, NESA's key dates list Year 11 grades as due from schools by 21 October 2026.

How many hours is Year 11 Extension 1?

NESA lists Year 11 Extension 1 as 60 hours and 1 unit, compared with 120 hours and 2 units for Year 11 Standard and Year 11 Advanced.

Can you guarantee a top grade?

No. We teach the course carefully; the grade reflects the student's own work.

Will you help with school tasks?

We teach the mathematics using our own examples. We never write, edit or check work a school will assess.

Related pages

Where Year 11 leads

The Year 12 courses, Year 10 preparation and related help.

HSC Maths Standard

Standard 1 or Standard 2 in Year 12.

HSC Maths Advanced

The Year 12 calculus course.

HSC Maths Extension 1

The extension course and its second paper.

Year 10 preparation

Getting ready before Year 11 starts.

Year 11 computing subjects

For students adding computing to maths.

How we teach

Our method in plain words.

Start here

Book a free Year 11 lesson

Tell us the course, Standard, Advanced or Extension 1, and the topic your school is on now. The free lesson covers it with our own problems.

Prefer to browse? Course outlines are on the course atlas, our method is on how we teach, and NAPLAN-era number skills are covered on our numeracy page.

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