Subject practice · Year 11 & 12

Mathematics Extension 1Practice questions.
Exam-style feedback.

Q: What Mathematics Extension 1 topics does ATARprepAI cover?

Anything on your syllabus. Every topic and every syllabus point listed on this page starts a quiz on that point alone, and the topic box takes whatever else you type — including a dot point copied straight out of the study design.

Q: Is ATARprepAI free for Mathematics Extension 1?

Yes. The Free plan is $0 forever, needs no card, and you can try a Mathematics Extension 1 quiz without even making an account. Free accounts get a monthly allowance of freshly generated quizzes; the current numbers are on the pricing page.

Q: Do I need an account to start?

No. You can generate and play a Mathematics Extension 1 quiz signed out. An account adds saved progress across devices, streaks, and a bank of the questions you got wrong.

Q: Which exam boards does it follow?

WACE, VCE, HSC, QCE and SACE. Pick yours and the Mathematics Extension 1 questions use that board's command words and paper structure rather than a generic global syllabus.

Q: Are the questions actually marked, or just answered?

Marked. You attempt the question first, then it comes back scored against the criteria — with the specific line that lost the mark and what would have earned it.

Q: Is this just ChatGPT with a different logo?

No. A chatbot hands you a finished answer. This makes you attempt the question yourself, then marks your work against the exam criteria.

Q: Will it mix Extension 2 content in?

No. Extension 1 questions stay inside the Extension 1 course; Extension 2 has its own page and its own question set.

Q: Can it mark an induction proof?

Yes, line by line — base case, assumption, inductive step and conclusion are each marked separately, which is how the paper marks them.

Choose a topic, write your answer and see where the marks went. Practise Mathematics Extension 1 with questions and feedback shaped around your exam criteria.

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The difference

Getting the answer isn't
the same as learning.

A chatbot hands you a polished Mathematics Extension 1 answer. An examiner hands you marks. ATARprepAI closes that gap — you attempt the question, it marks your work, and you find out what to fix.

A general AI chatbot

Ask the questionPaste it in and wait.
Get a model answerFluent, confident — and written by someone else.
Move onNothing tested. Nothing marked. Nothing retained.

ATARprepAI

You attempt itExam-style questions you actually answer yourself.
It marks your workCriterion by criterion, with what earned marks and what didn't.
You see where marks were lostAnd — more importantly — why.
You improve and try againWeak spots come back around until they're strong.

Keep ChatGPT for questions. Use ATARprepAI for marks.

What you're actually tested on

What's on the
Mathematics Extension 1 syllabus.

Extension 1 is taken alongside Advanced and examined in its own one-hour paper. The difference is density: fewer marks, harder questions, and almost every one requiring a technique to be selected rather than applied. Proof by induction, the binomial theorem and harder calculus are the recurring examinable spine.

HSC · NESATaken alongside Mathematics Advanced and examined in a separate paper; the Year 11 course covers further functions, trigonometry and calculus, and the Year 12 course adds proof, vectors, further calculus and statistical inference.

Boards revise their syllabuses — check yours for the current wording. Every point above is a live topic in the quiz builder: tap one to be tested on it.

How it works

Practice the way
Mathematics Extension 1 marks are actually earned.

Pick a topic

Choose one of the Mathematics Extension 1 topics above or type your own, then pick your state. WACE, VCE, HSC, QCE and SACE each word their questions differently, and the paper follows yours.

WACEVCEHSCQCESACE

Attempt it yourself

Exam-style questions with the mark allocation showing, so you know how much to write. You answer them — nothing is handed to you.

A particle moves in simple harmonic motion about the origin with amplitude 4 m and period 6 s. Find its maximum speed and the speed when it is 2 m from the origin. (5 marks)

Get it marked

Your answer comes back marked criterion by criterion in seconds — what you earned, what you half-earned, and what the examiner never saw.

4/5 · ✓ Finds n correctly from the period

Fix the gap

The topics you keep losing marks on come back around in your review until they're strong. That's the whole point.

proof by mathematical induction

Choose your system

WACEVCEHSCQCESACE

Then your topic

proof by mathematical inductionthe binomial theorempermutations and combinationsinverse trigonometric functions

A particle moves in simple harmonic motion about the origin with amplitude 4 m and period 6 s. Find its maximum speed and the speed when it is 2 m from the origin. (5 marks)

Mathematics Extension 1 · HSC

Marked in seconds

4/5 marks

✓ Finds n correctly from the period

✓ Applies v² = n²(a² − x²) with correct substitution

✓ States the maximum speed with correct units

✕ Notes that speed is the magnitude, so the negative root is discarded

Weak topics, resurfacing

proof by mathematical induction

the binomial theorem

permutations and combinations

A worked marking example

See where
the marks come from.

An example from Mathematics Extension 1: the answer, the criteria it meets, and the detail it needs next.

Mathematics Extension 1 · HSC

A particle moves in simple harmonic motion about the origin with amplitude 4 m and period 6 s. Find its maximum speed and the speed when it is 2 m from the origin. (5 marks)

Your answer

The period is 6 so n = 2π/6 = π/3. The maximum speed is an = 4 × π/3 ≈ 4.19 m/s. Using v² = n²(a² − x²), at x = 2 we get v² = (π/3)²(16 − 4), so v ≈ 3.63 m/s.

Marking your answer…

4/5marks

Finds n correctly from the period2 of 2 marks
Applies v² = n²(a² − x²) with correct substitution1 of 1 marks
States the maximum speed with correct units1 of 1 marks
Notes that speed is the magnitude, so the negative root is discarded0 of 1 marks

How to improve

Where the marks usually go: Extension 1 questions punish loose finishing — units, discarded roots and the distinction between velocity and speed are all separately marked.

Three mistakes that cost Mathematics Extension 1 marks every year

Choosing the wrong substitution and pushing on. If the integral does not simplify in two lines, the substitution is wrong — restarting costs less than the marks lost.
Writing an induction proof without the assumption stated as an implication and the conclusion written out.
Forgetting to change the limits when substituting in a definite integral, or to convert back to the original variable in an indefinite one.

More than quizzes

Six ways to study
Mathematics Extension 1, one topic list.

Everything below runs on the same Mathematics Extension 1 material — pick a topic once and revise it whichever way actually sticks for you.

From Methods to Media Studies — if it's on your timetable, it's in here.

Made for here

Mathematics Extension 1 questions that
match your exam board.

WACEWestern Australia

HSCNew South Wales

VCEVictoria

QCEQueensland

SACESouth Australia

Command words aren't decoration. NESA's describe and evaluate want different answers, and SCSA and VCAA each keep their own glossary. Pick your system and the Mathematics Extension 1 questions — and the marking — follow that board's language.

Questions

Before you ask.

What Mathematics Extension 1 topics does ATARprepAI cover?

Anything on your syllabus. Every topic and every syllabus point listed on this page starts a quiz on that point alone, and the topic box takes whatever else you type — including a dot point copied straight out of the study design.

Is ATARprepAI free for Mathematics Extension 1?

Yes. The Free plan is $0 forever, needs no card, and you can try a Mathematics Extension 1 quiz without even making an account. Free accounts get a monthly allowance of freshly generated quizzes; the current numbers are on the pricing page.

Do I need an account to start?

No. You can generate and play a Mathematics Extension 1 quiz signed out. An account adds saved progress across devices, streaks, and a bank of the questions you got wrong.

Which exam boards does it follow?

WACE, VCE, HSC, QCE and SACE. Pick yours and the Mathematics Extension 1 questions use that board's command words and paper structure rather than a generic global syllabus.

Are the questions actually marked, or just answered?

Marked. You attempt the question first, then it comes back scored against the criteria — with the specific line that lost the mark and what would have earned it.

Is this just ChatGPT with a different logo?

No. A chatbot hands you a finished answer. This makes you attempt the question yourself, then marks your work against the exam criteria.

Will it mix Extension 2 content in?

No. Extension 1 questions stay inside the Extension 1 course; Extension 2 has its own page and its own question set.

Can it mark an induction proof?

Yes, line by line — base case, assumption, inductive step and conclusion are each marked separately, which is how the paper marks them.

Your next Mathematics Extension 1 quiz is
fifteen seconds away.

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Keep going

Mathematics Extension 1Practice questions.
Exam-style feedback.

Choose a starting point.

Getting the answer isn't
the same as learning.

What's on the
Mathematics Extension 1 syllabus.

Functions and further algebra

Trigonometry and further techniques

Calculus

Combinatorics and proof

Practice the way
Mathematics Extension 1 marks are actually earned.

Pick a topic

Attempt it yourself

Get it marked

Fix the gap

See where
the marks come from.

Six ways to study
Mathematics Extension 1, one topic list.

Mathematics Extension 1 questions that
match your exam board.

Before you ask.

What Mathematics Extension 1 topics does ATARprepAI cover?

Is ATARprepAI free for Mathematics Extension 1?

Do I need an account to start?

Which exam boards does it follow?

Are the questions actually marked, or just answered?

Is this just ChatGPT with a different logo?

Will it mix Extension 2 content in?

Can it mark an induction proof?

Your next Mathematics Extension 1 quiz is
fifteen seconds away.

Other subjects with
free practice questions.

Mathematics Extension 1Practice questions.Exam-style feedback.

Choose a starting point.

Getting the answer isn'tthe same as learning.

What's on theMathematics Extension 1 syllabus.

1Functions and further algebra

2Trigonometry and further techniques

3Calculus

4Combinatorics and proof

Practice the wayMathematics Extension 1 marks are actually earned.

Pick a topic

Attempt it yourself

Get it marked

Fix the gap

See wherethe marks come from.

Six ways to studyMathematics Extension 1, one topic list.

Mathematics Extension 1 questions thatmatch your exam board.

Before you ask.

What Mathematics Extension 1 topics does ATARprepAI cover?

Is ATARprepAI free for Mathematics Extension 1?

Do I need an account to start?

Which exam boards does it follow?

Are the questions actually marked, or just answered?

Is this just ChatGPT with a different logo?

Will it mix Extension 2 content in?

Can it mark an induction proof?

Your next Mathematics Extension 1 quiz isfifteen seconds away.

Other subjects withfree practice questions.

Mathematics Extension 1Practice questions.
Exam-style feedback.

Getting the answer isn't
the same as learning.

What's on the
Mathematics Extension 1 syllabus.

Functions and further algebra

Trigonometry and further techniques

Calculus

Combinatorics and proof

Practice the way
Mathematics Extension 1 marks are actually earned.

See where
the marks come from.

Six ways to study
Mathematics Extension 1, one topic list.

Mathematics Extension 1 questions that
match your exam board.

Your next Mathematics Extension 1 quiz is
fifteen seconds away.

Other subjects with
free practice questions.