Features How It Works For Parents Pricing Contact Log in Start free — no credit card needed →
Built for Australian Year 11 and 12 students

AI-marked exam questions. Your exact syllabus.

Know exactly what to fix and how to fix it.

Parents: see exactly how your child is tracking.

Start free — no credit card needed → I'm a parent — show me how it works

✓ Free plan forever  ·  ✓ No credit card  ·  ✓ QCAA, HSC, VCE and more

boomerang.study/dashboard
Boomerang.study dashboard showing Mathematical Methods progress, weekly stats and syllabus summary

What students and parents are saying

Don't take our word for it.

"Went from a C+ to an A in Methods in one term. The marking tells you which criterion you missed, not just that you got it wrong. That's the part that actually makes a difference."

Liam · Year 12, Maths Methods, Brisbane · ★★★★★

"We had no idea how he was actually going until Boomerang. The parent dashboard shows which units he's nailed and which ones need work. Wish it had existed when I was in school."

Raquel · mum of Year 11 student, Brisbane · ★★★★★

"Used it at 10pm the night before my Physics IA. Found two gaps I had no idea were there. Covered both before the exam. Can't believe it's free to start."

Sophie · Year 11, Physics, QLD · ★★★★★

"We were spending $90 a week on tutoring. The feedback from Boomerang is more detailed. He comes to his sessions now with specific questions instead of just being talked at for an hour."

James · dad of Year 12 student, Sydney · ★★★★★

"Boomerang found the exact topics in Organic Chemistry I was skipping. My test average went from 64% to 81% in four weeks. The adaptive mode doesn't let you hide from what you don't know."

Ethan · Year 12, Chemistry, Melbourne · ★★★★★

"I used to check his report card and just see a number. Now I can see exactly which learning objectives he's solid on and where he needs more time. It's changed how we talk about school."

Priya · mum of Year 11 student, Perth · ★★★★★

Built for one thing: your best possible result.

Every question is from your syllabus and styled from past papers. Not a generic quiz bank.

🎯
Finds your gaps so you can close them

Serves questions in the exact formats your exam uses. MCQ, short answer, extended response, calculation. Gets smarter every session based on what you are missing.

Feedback that tells you exactly why

Criteria-based marking on every format. Partial credit, follow-through marks, and a breakdown of where you lost marks. Not just a score.

🎮
You choose. You control.

Pick your subject, unit, topic or individual learning objective. Set how many questions you want, which formats to include, and whether to mark after each question or at the end of the set. Your session, your rules.

💬
A tutor that's there while you work

Ask for a hint, a different approach or a full explanation right beside the question. Knows your syllabus, not just general maths.

📊
See exactly where you stand

Per-learning-objective mastery scores, accuracy trends and an AI coach that reads your data and tells you what to focus on next.

Type maths the way it looks in the exam New

Fractions, integrals, vectors and chemistry notation on subject-aware keypads.

📈
Stimulus, graphs and diagrams included

Questions come with the stimulus material they need — graphs, tables, diagrams, source extracts and data sets — just like the real exam.

Upload handwritten working for marking

Write your answer by hand on paper or stylus, snap a photo or upload a PDF, and submit it for marking against the criteria — the way your teacher would.

📝
Past-paper style questions

Every question is modelled on real QCE, HSC, VCE, SACE, WACE, TASC and BSSS papers — same wording, same structure, same expectations as the exam.

Start free — no credit card needed →
OS

"I looked everywhere for a practice-based learning solution that was actually built around the Australian senior curriculum. Nothing existed — so we decided to build it."

Oliver Scott — Founder, Boomerang.study

✦ Smart Marking

See what being marked like an examiner actually looks like.

Most tools tell you if you got it right or wrong. Boomerang tells you why, which criterion you missed, and what full marks would have looked like. Click through each format below.

Multiple Choice 1 mark Mathematical Methods · Unit 4 · Topic 1
The graph shows the velocity v (m/s) of a particle moving in a straight line over time t (seconds).
v(t) t 0 2 4 6 8 5 10 max
During which time interval is the particle decelerating?
A0 < t < 4
B4 < t < 8
C0 < t < 2
D2 < t < 6
Boomerang
1/1
Correct ✓ — velocity decreases after t = 4 (the maximum). Deceleration means acceleration is negative, which corresponds to v(t) decreasing — interval 4 < t < 8.
💡 Option A is wrong — the particle is accelerating from t = 0 to t = 4 because v(t) is increasing. Always check direction of change, not just the sign of velocity.
Ask Boomerang
J
Why can't it be option A? The velocity is positive the whole time from 0 to 4.
Good question. "Decelerating" doesn't mean velocity is negative — it means velocity is decreasing. From t = 0 to t = 4 the velocity is increasing (the particle is speeding up), even though it's all positive. Deceleration only starts after the peak at t = 4.
J
Oh! So deceleration = velocity is getting smaller, not velocity is negative?
Exactly. Deceleration means acceleration a(t) < 0, which is the same as v(t) decreasing. That's the key distinction QCAA tests every year. 🎯
Ask a follow-up question…
Short Answer 4 marks Mathematical Methods · Unit 4 · Topic 4
A survey of 200 Year 12 students at a Queensland school found the following data about daily study time.
Daily study timeLess than 1 hr1–2 hrs2–3 hrsMore than 3 hrsTotal
Maths Methods12547836180
Other subjects864220
Total20608238200
Using the data in the table, calculate the sample proportion of Maths Methods students who study more than 2 hours per day. Use this to construct an approximate 95% confidence interval for the true population proportion. Give your answers correct to 3 decimal places.
Student response
p̂ = (78 + 36) / 180 = 114/180 = 0.633
95% CI: p̂ ± 1.96 √(p̂(1−p̂)/n)
= 0.633 ± 1.96 √(0.633 × 0.367 / 180)
= 0.633 ± 0.071
= (0.562, 0.704)
Boomerang
4/4
Correct identification of denominator as 180 (Maths Methods students only)
Correct sample proportion p̂ = 0.633
Correct formula and z = 1.96 for 95% CI
Correct interval (0.562, 0.704) to 3 d.p.
💡 A common error is using n = 200 (all students) instead of n = 180 (Maths Methods students only). Always identify the correct population for the proportion you're estimating.
Ask Boomerang
J
Why is n = 180 and not 200? The table has 200 students total.
Because the question asks for the proportion of Maths Methods students who study more than 2 hours. So your sample is the 180 Maths Methods students, not all 200. The 20 "other subjects" students aren't part of the group you're estimating a proportion for.
Ask a follow-up question…
Extended Response 8 marks Economics · Unit 3 · Market Failure
The table below shows estimated external costs and market data for a manufacturing industry producing 10,000 units per month.
Cost componentPer unit ($)Monthly total ($)
Private marginal cost (MPC)45.00450,000
Pollution & health externality12.00120,000
Social marginal cost (SMC)57.00570,000
Market price47.50475,000
Using the data provided, explain the nature of the market failure occurring. Analyse how a Pigouvian tax could correct this market failure, with reference to specific figures from the table. Discuss one limitation of using a tax as a corrective mechanism.
Student response
The market is producing a negative externality in production. The SMC ($57) exceeds the MPC ($45) by $12 per unit, meaning producers do not bear the full social cost of production. At the market price of $47.50, which is below the SMC, output is allocatively inefficient — the market overproduces relative to the social optimum.

A Pigouvian tax of $12 per unit (equal to the externality) would shift the supply curve left, raising market price from $47.50 toward the socially optimal price of $57. This internalises the externality by forcing producers to account for the pollution cost, reducing output to the allocatively efficient level where P = SMC.

One limitation is that governments must accurately estimate the external cost ($12/unit) to set the optimal tax rate. In practice, externalities are difficult to measure precisely, so the tax may be set too high or too low, potentially overcorrecting or undercorrecting the market failure.
Boomerang
7/8
CriterionDescriptorMark
Market failure identifiedNegative production externality correctly identified with MPC/SMC divergence
Quantified externality$12 gap referenced, overproduction at market price correctly diagnosed
Tax mechanism explainedPigouvian tax = $12 shifts supply, raises price toward $57
Allocative efficiency"P = SMC" language used, socially optimal output referenced
Diagram / supply shiftNo supply/demand diagram showing MPC vs SMC divergence and deadweight loss
Limitation qualityMeasurement difficulty is valid — good specific reference to the $12 estimate
Economic terminology"Allocatively inefficient", "internalise" used correctly throughout
💡 To reach 8/8: include a supply/demand diagram showing MPC and SMC curves, with the deadweight loss triangle between the market quantity and the socially optimal quantity. QCAA extended responses almost always require a labelled diagram for full marks.
Ask Boomerang
M
I'm not sure how to draw the diagram for this. Where do MPC and SMC go?
Draw a standard supply/demand diagram. The MPC curve is your normal supply curve (S = MPC). Draw a second curve above it — that's the SMC curve. The gap between them ($12) is the externality. The market equilibrium is where D meets MPC. The socially optimal point is where D meets SMC. The deadweight loss is the shaded triangle between those two equilibria.
M
So the SMC is above and to the left of MPC?
Exactly — SMC = MPC + external cost, so it sits above and left of MPC. At the market quantity, price is too low and output is too high. The Pigouvian tax shifts MPC up to meet SMC, correcting both. Label everything: Q*, P*, Qmarket, Pmarket, MPC, SMC, and the DWL triangle. 🎯
Ask a follow-up question…
Calculation 5 marks Mathematical Methods · Unit 3 · Topic 4
Find the exact area enclosed between the curves y = x² and y = 6x − x², showing all working.
Student response
Set equal to find intersections:
x² = 6x − x²
2x² − 6x = 0
2x(x − 3) = 0 → x = 0 or x = 3

Area = ∫₀³ [(6x − x²) − x²] dx
= ∫₀³ [6x − 2x²] dx
= [3x² − ⅔x³]₀³
= (27 − 18) − 0
= 9 square units
Boomerang
5/5
Correct intersection points found (x = 0, x = 3)
Integrand set up as (top − bottom) = 6x − 2x²
Antiderivative 3x² − ⅔x³ correct
Bounds substituted correctly, result = 9
Answer stated as "9 square units" (correct geometric interpretation)
💡 Verify which curve is on top before integrating. At x = 1: y = 6(1) − 1 = 5 vs y = 1, so 6x − x² > x² — correct. Always check a point to confirm the subtraction order.
Ask Boomerang
S
How do I know which curve to subtract from which? I always get confused.
Simple rule: it's always ∫(top − bottom) dx. Between x = 0 and x = 3, pick any x-value in between — say x = 1. Plug into both: 6(1)−1² = 5, and 1² = 1. Since 5 > 1, the curve y = 6x−x² is on top. So the integrand is (6x−x²)−x².
S
That's a really good trick. Does that always work?
Yes — as long as the curves don't cross within the interval. If they do cross in the middle, you'd need to split the integral. But for most QCAA area-between-curves questions, one curve stays on top throughout. ✓
Ask a follow-up question…
Try it on your next question →

Free plan covers MCQ marking forever. 7-day Pro trial unlocks every format.

Two ways to practise

Let Boomerang pick your next question, or take the wheel and drill into exactly the learning objective you want.

🎯
Recommended
Adaptive
For your daily 15–30 min session
  • Auto-picks your weakest objective next
  • Prioritises gaps before assessment dates
  • Just press start
🎮
You choose
Custom Practice
For targeted, last-minute revision
  • Drill any unit, topic, subtopic or learning objective
  • Mix or filter question formats
Build your first practice session →

Up and running in 5 minutes.

1
Register

Pick your subjects from your state curriculum in under a minute. No credit card, no commitment.

2
Choose how you want to practise

Let Boomerang surface your next question based on where you're weakest — or take full control and drill any subject, unit, topic or learning objective yourself. Your format, your quantity, your pace.

3
Get marked like it's the real thing

Every answer gets criteria-based feedback: what you nailed, what cost you marks, and exactly why. After each question or at the end of a full set — your call.

4
Ask the AI tutor anything

Confused by the feedback? Tap to go deeper. Get a worked example, a different explanation, or a follow-up question until the concept actually clicks.

5
Track what sticks

Mastery is tracked at the learning-objective level. Every session, Boomerang targets the gaps that matter most — so you go into every exam knowing exactly where you stand.

🎯 Adaptive practice setup Personalised
Choose how Boomerang picks each question — Balanced, Fix my weak spots or Cover everything evenly.
1 · Units to draw from
Unit 1
Unit 2
Unit 3
Unit 4
2 · How to choose questions
Balanced (recommended)
Mix of weak-spot drills, spaced reviews and gentle new coverage.
Fix my weak spots
Cover everything evenly
3 · Hide topics you haven't been taught yet — 2 hidden
✏️ Custom practice builder You're in control
Pick your subject, scope and format — then choose how many questions to practise.
1 · Subject
Mathematical Methods
QLD · QCAA
Economics
QLD · QCAA
2 · Scope (173 LOs selected)
Unit 1 · Surds, algebra, functions & probability51/51
Unit 2 · Calculus & further functions34/34
Unit 3 · Further calculus & intro statistics52/52
Unit 4 · Trigonometry & statistics36/36
3 · Type
Calculation
4 · How many
5
10
15
20

Launching with QCAA

Starting with Queensland — other states coming soon. Sign up to be notified when your state launches.

Loading subjects…

Finally know how your child is actually going.

You ask. They say fine. You worry. Boomerang gives you real data without getting in the way.

📊
See their real progress.

Not "they did some study tonight". Actual mastery by unit, topic and learning objective, updated every session. See what is strong and what needs work before the next assessment.

✉️
A Monday morning digest.

Every week, an email: questions done, accuracy, biggest jump and what to focus on next. Read it at breakfast. Ask the right question at dinner.

🔗
A read-only window into their progress.

Your child generates a private link from their settings. Open it on any device. You see mastery data. You don't see their AI tutor chat.

What can I actually see?

Your child generates a private read-only link from their settings — open it on any device, no account needed. You see:

  • Mastery by subject, unit and learning objective
  • Accuracy trends over time
  • An AI summary of what to focus on next
  • Time on task and recent activity

You do not see your child's AI tutor conversations — your child controls what you can see.

How does a parent pay?

Boomerang is student-led. The smoothest path:

  1. Your child creates their free account and picks a plan.
  2. From their account they send you a secure one-tap payment link.
  3. You open the link on any device — no account needed — and pay by card.
  4. The plan activates instantly. You get a receipt by email.

You can link your email to their account afterwards to access the parent dashboard.

"We had no idea how he was actually going until Boomerang. The parent dashboard shows which units he's nailed and which ones need work. Wish it had existed when I was in school."

Raquel — mum of Year 12 student, Brisbane · ★★★★★

Boomerang Weekly tutor (1hr/week)
Annual costFrom $135 for Year 12~$2,400 to $4,800
Available at 11pm
Mastery by learning objectiveRarely
Parent progress dashboardDepends on tutor
Adapts to your child's gapsDepends on tutor
Student sets their own paceFixed sessions

Less than a few tutor sessions. For an entire year.

Boomerang's lump-sum plans give your child access for the rest of the school year. The earlier you start, the more you save.

See plans and pricing →

AI that teaches. Not one that just answers.

📚
Made for learning.

Boomerang won't write your essay or hand over the answer. It guides you toward it. Hints, worked examples and questions that build real understanding. That is how marks improve on exam day.

🔒
Made for privacy.

We do not use student responses to train AI models. We do not share student data with third parties. The parent dashboard shows progress only and never exposes student chat conversations.

🇦🇺
Made in Australia.

Built by an Australian team, for Australian students. Every question is written against official Australian curriculum specifications.

Built on what the research says works

#1
practice testing rated the most effective study technique — for every subject type
Dunlosky et al., 2013 Why practice testing works for every subjectDunlosky et al. (2013) reviewed 10 study techniques in Psychological Bulletin and rated practice testing the highest utility method — effective for both recall-based subjects like Biology and English, and procedural subjects like Maths and Physics. Re-reading, highlighting and summarising were all rated low utility.
100%
mapped to the official QCAA syllabus — every question, every topic
instant
feedback on every answer so you know exactly where marks are lost

Simple pricing. Serious results.

All paid plans unlock the same features. Lump-sum plans give you the full year at a lower monthly rate. The earlier you join, the more you save.

Free
$0
forever · no credit card needed
Usage
5 practice questions / day
5 AI tutor messages / day
Question types
  • Multiple choice
  • Short answer
  • Calculation
Features
  • AI marked responses
  • Custom practice
  • Student dashboard
  • All subjects included
Get started free
Monthly
$30
per month · AUD
Usage
300 AI interactions / week

Covers AI marking, AI tutor, and handwriting & photo recognition — across all question types.

Question types
  • Multiple choice
  • Short answer
  • Calculation
  • Extended response
  • Stimulus
Features
  • Everything in Free
  • Full adaptive learning engine
  • Mastery tracking
  • AI tutor on every question
  • Stylus pen answers
  • PDF & photo answers
  • Parent dashboard

+ Extra usage credits available to purchase

Start for free →

Cancel anytime.

Years 11 and 12
$690
Lock in for
$414
You save $276
One payment · Access until 1 Dec 2027
Usage
300 AI interactions / week

Covers AI marking, AI tutor, and handwriting & photo recognition — across all question types.

Question types
  • Multiple choice
  • Short answer
  • Calculation
  • Extended response
  • Stimulus
Features
  • Everything in Monthly
  • Full access through both Year 11 and Year 12 exam seasons
  • Best value — lowest effective monthly rate

+ Extra usage credits available to purchase

Lock in two years →

Price is calculated for today — the earlier you join, the more you save.

For schools and classrooms: we offer group licensing and classroom plans. Contact us to find out more →

Need extra AI credits?

Top up anytime if you hit your weekly limit. Credits never expire.

  • $5 AUD — 50 AI interactions
  • $15 AUD — 200 AI interactions

Questions we get asked a lot.

Is this actually specific to my Year 11 and 12 syllabus?+

Yes. Every question is written against the official Australian curriculum specifications. If a topic is not on your syllabus it will not appear in Boomerang.

How does the AI tutor work — and what doesn’t it do?+

The AI tutor sits beside every question. Ask for a hint or a different approach before you submit, or follow-up questions after you get your mark. It knows your syllabus and explains in plain English.

What it won’t do: write your assignment, hand over the final answer, or do the thinking for you. It guides you toward the answer so the marks stick on exam day.

How accurate is the AI marking?+

Boomerang marks criteria-based, the same way your actual exam does. That includes partial credit and follow-through marking on calculation questions. It is not perfect and does not replace a teacher, but it gives detailed feedback on every answer, including at 11pm the night before an exam.

What are credits and when do they kick in?+

Paid plans include 300 AI interactions per week (AI marking, tutor, handwriting and photo recognition). You only need credits if you go above that in a given week.

  • $5 AUD — 50 extra AI interactions
  • $15 AUD — 200 extra AI interactions

Top-ups never expire and roll over week to week.

Can students choose what to practise?+

Yes. In Custom Practice mode, students choose their subject, unit, topic or individual learning objective, the question formats they want (MCQ, short answer, extended response, calculation), and how many questions to do. They also choose whether to mark after each question or at the end of the full set. The adaptive mode handles all of this automatically, always serving the highest-impact next question based on weakest areas.

What is the mark-at-end option?+

When you select mark at the end, you work through all your questions first without seeing any marks. Once you have submitted all your answers, you review them one at a time with prev and next arrows — your answer, your mark and the full feedback on each question. Some students find this closer to real exam conditions.

What’s a learning objective (LO)?+

A learning objective is the smallest unit in your syllabus — the specific skill or knowledge an exam question is testing. Boomerang tags every question to one or more LOs, so your accuracy and mastery are tracked LO by LO, not just topic by topic. That’s how we tell you exactly where the marks are being lost.

Can I use Boomerang on mobile?+

Yes. Boomerang is a web app that runs in any modern browser on phone, tablet or laptop — no install required. You do need an internet connection; there’s no offline mode.

My subject isn’t listed — what now?+

Tell us which one. We’re adding subjects continually and prioritise by demand. Drop us a note via the contact form with your authority and subject and we’ll let you know when it’s live.

How does a parent pay for my plan?+

From Settings → Parent link you generate a one-tap payment link and send it to your parent.

  1. They open it on any device — no account needed.
  2. They pay by card.
  3. Your plan activates instantly and they get a receipt by email.
How do I cancel and when does monthly access end?+

Cancel any time from Settings — no fees. Monthly access runs to the same day-of-month you signed up on (Stripe anchor-date billing): if you signed up on the 15th, access continues until the 15th of the following month. After that your account drops to the free plan. Lump-sum plans are non-refundable after 14 days but run to their end date. If you have a problem, get in touch via our contact form.

Is the Year 12 plan available in September?+

No. The lump-sum Year 12 plan is available from January to August only. From September onwards, use the monthly plan. The Years 11 and 12 plan is available all year.

Is there a school or group plan?+

Yes. We offer group licensing and classroom plans. Get in touch for details.

How is my data used — and what happens if I delete my account?+

Your data powers your personal mastery tracking and question selection. We do not use student responses to train AI models and we do not sell data to third parties. If you delete your account, your data is purged within 30 days — nothing is kept for training or marketing. See our Privacy Policy for the full picture.

Year 12 doesn't wait. Neither should you.

Every week without a real study system is a week your gaps get wider. Boomerang closes them one learning objective at a time.

✓ Free plan forever  ·  ✓ No credit card  ·  ✓ Cancel anytime

Already have an account? Log in →