In QCE Specialist Mathematics, your three internal assessments (IA1, IA2 and IA3) make up 50% of your final result. Internal results in Specialist are very high, so small differences matter: every lost mark moves you down a crowded field.
This guide breaks down the internal assessment sections of QCAA's 2025 Specialist Mathematics subject report. It covers how students scored on each IA, what strong responses did, and the changes under the revised 2025 syllabus that students completing Units 3 and 4 from 2026 need to know. For the external exam, see our companion 2025 QCE Specialist Maths external assessment breakdown.
Key Takeaways
- Internal assessments are worth 50% of your Specialist result: IA1 20%, IA2 15%, IA3 15%.
- Results were very high. About 42% of students scored a perfect 20/20 on IA1, and 50/50 was the single most common IA total.
- School marks were highly reliable. QCAA agreed with schools' provisional marks 97.42% of the time for IA1 and 100% for IA2 and IA3.
- Evaluate and verify was still the hardest IA1 criterion for full marks. Top marks needed evaluation against results, observations and assumptions, plus justified strengths and limitations.
- Under the 2025 syllabus, IA1 needs justified assumptions and observations, efficient technology and verified results, and the IA2 and IA3 exams are 90 minutes long and cover three of the five topics in each unit.
How Internal Assessment Works in QCE Specialist Maths
| Assessment | Type | Weighting | Content |
|---|---|---|---|
| IA1 | Problem-solving and modelling task (PSMT) | 20% | Unit 3 vectors and matrices and/or complex numbers (under the 2025 syllabus, any Unit 3 or Unit 4 topic) |
| IA2 | Examination | 15% | Unit 3 |
| IA3 | Examination | 15% | Unit 4 |
| External assessment | Two examination papers | 50% | Units 3 and 4 (Units 1 and 2 and Mathematical Methods assumed) |
Your school writes each IA, but before students sit it the QCAA must endorse it, checking that it matches the syllabus and is fair. After marking, the QCAA confirms a sample of student responses to check that your school's marks are accurate.
💡 New to the system? Read our explainer on how QCE internal assessments work.
How Students Scored in 2025
| Assessment | Maximum Mark | Approx. % on Full Marks |
|---|---|---|
| IA1 (PSMT) | 20 | 42% |
| IA2 (Unit 3 exam) | 15 | 18% |
| IA3 (Unit 4 exam) | 15 | 19% |
| Total IA | 50 | 10% |
Approximate values read from the mark distribution charts in QCAA's 2025 Specialist Mathematics subject report.
These are the highest internal results of the three QCE maths subjects we have analysed. Full marks was the most common result on every IA. About 61% of students scored 19 or 20 on IA1, and most students' IA totals fell in the 40s out of 50.
In a cohort like this, the IA2 and IA3 exams are where results spread out the most, and each mark on them can make a difference to your final grade.
How Reliable Were School Marks?
| Assessment | Instruments Endorsed First Time | Samples Reviewed | Agreement With School Marks |
|---|---|---|---|
| IA1 | 80% | 1,973 | 97.42% |
| IA2 | 30% | 1,970 | 100% |
| IA3 | 61% | 1,956 | 100% |
Source: QCAA Specialist Mathematics subject report, 2025 cohort.
What this means for students:
- Your IA2 and IA3 marks will not change. The QCAA agreed with every school exam mark it reviewed.
- IA1 marks are rarely adjusted. The few changes were mostly in Evaluate and verify (1.61% of samples were lowered).
- Only 30% of IA2 exams were endorsed the first time. Many school exams were sent back because questions did not match the Unit 3 syllabus, relied on Physics contexts or Mathematical Methods content, or were labelled complex unfamiliar when they were not. Your final IA2 has been checked against the syllabus, so expect it to focus closely on Specialist subject matter.
IA1: Problem-Solving and Modelling Task (20%)
The PSMT asks you to solve a real-world problem using mathematics, write it up as a report and evaluate your solution. In 2025, it used subject matter from one or both of these Unit 3 topics:
- Topic 2: Vectors and matrices
- Topic 3: Complex numbers 2
QCAA's samples included an escape room designed using Markov chains (transition matrices), a disease spread model using a Leslie matrix, and a comparison of a Leslie matrix with a logistic model for predicting Australia's population. QCAA also noted that tasks using dominance matrices should go beyond simple win–loss data.
How Students Scored on Each Criterion
| Criterion | Marks | Approx. % on Full Marks |
|---|---|---|
| Formulate | 4 | 75% |
| Solve | 7 | 63% |
| Evaluate and verify | 5 | 58% |
| Communicate | 4 | 84% |
Approximate values read from QCAA's 2025 criterion charts.
What Earned the Marks
Formulate: Strong responses labelled each observation and assumption, explained why it mattered to the model and cited sources where relevant. In the escape room sample, one observation used research to explain why teenagers and parents needed different probabilities. One assumption explained why participants were assumed not to remember which rooms they had visited, because the Markov chain would not work otherwise. In the Leslie matrix sample, each assumption, such as "the disease does not mutate", was paired with a reason the model needed it.
Solve: QCAA's report focused less on Solve, but under the 2025 syllabus, full marks need efficient use of technology, meaning the tools you choose let you develop the solution quickly, easily and effectively.
Evaluate and verify: QCAA said the top mark was only awarded when the evaluation considered the results, observations and assumptions. Strong responses gave several strengths and limitations, each with a reason. For example:
- a strength: the escape room design could be switched between the teenager and parent versions by changing only two doors, saving staff time
- a limitation: parents took 365 minutes to reach a 100% exit probability, longer than recommended. The student then put this in context by noting that 98% of people escaped within 265 minutes and that the model ignored players improving over time.
Communicate: Full marks needed a coherent and concise report with mathematical symbols, terminology and conventions used correctly.
Explain vs Justify
QCAA wants students to understand the difference between explaining an assumption and justifying it. Explaining says what the assumption is. Justifying gives a reason why it is valid or necessary for the model. Under the 2025 syllabus, the top Formulate marks need justified statements.
💡 Get a clear picture of every cognitive verb with our complete guide to QCE cognitive verbs.
What Changes for IA1 Under the 2025 Syllabus
| Area | 2019 Syllabus | 2025 Syllabus |
|---|---|---|
| Subject matter | Unit 3 Topic 2 and/or Topic 3 | At least one topic from Unit 3 or Unit 4 |
| Duration | 4 weeks | Set by your school |
| Formulate (top level) | Appropriate assumptions and relevant observations | Justified statements of important assumptions and observations, which must be needed to mathematise the problem |
| Solve (top level) | Accurate and appropriate use of technology | Efficient use of technology |
| Evaluate criterion | Called "Evaluate and verify" | Renamed "Evaluate", with five top-level descriptors, including verifying results as the solution is developed |
| Communicate | Mathematical language and organisation | Correct use of terminology, symbols, conventions and representations, plus justification of decisions, which moved here from Evaluate |
Two details from the report are worth knowing:
- Plurals matter. The 3–4 mark range in Formulate needs justified statements of important assumptions and observations, so justify more than one of each. In Evaluate, the 2–3 mark range needs "a verified result" but the 4–5 mark range needs "verified results".
- Each descriptor is now one characteristic. Teachers must match the whole descriptor to your work, so a partly met descriptor will not earn the mark.
You do not need to include the problem-solving and modelling flowchart in your report, but you are still expected to follow its process.
IA2: Unit 3 Examination (15%)
IA2 is a supervised exam on Unit 3. It should assess every objective, including evaluating the reasonableness of solutions and justifying procedures and decisions, and give cues about whether a question needs an analytical method or technology.
What QCAA's Marking Samples Show
- Half marks are used. One complex-number sketching question earned 3.5 out of 4. The student shaded the correct region but used a closed circle where an open circle was needed to exclude a point.
- Percentages are converted to a mark out of 15. One student scored 53/55 ≈ 96.4%, which is above 93% and earned 15/15.
- Each mark matches a step in the marking scheme, so clear working makes it easier for your teacher to award every mark you earn.
What Changes for IA2 Under the 2025 Syllabus
- Working time is 90 minutes (down from 120 minutes), with 5 minutes of perusal time.
- The exam samples three of the five Unit 3 topics, plus assumed knowledge from earlier units and Mathematical Methods.
- Exams should include genuine complex unfamiliar questions, with non-routine contexts, limited scaffolding and multi-step reasoning.
IA3: Unit 4 Examination (15%)
IA3 is a supervised exam on Unit 4. Like IA2, it should assess every objective and include a balance of analytical and technology-active questions. QCAA noted that marking schemes must match the expected method, for example awarding marks for definite integration using technology where that is what the question asks for.
What QCAA's Marking Samples Show
- Evaluate claims with a clear conclusion. In a 4-mark question about the tension needed to move an object, the student found T ≈ 40 N and concluded that a lecturer's claim of about 15 N was not reasonable. The response earned 3.5 marks.
- Follow-through marks are awarded. In a Newton's law of cooling question, a student made an error substituting into the logarithm when finding the constant. They still earned follow-through marks for correctly solving for k and c using their incorrect value.
- Set out differential equations step by step. Full-mark working separated the variables, integrated, then substituted each condition to find the constants.
What Changes for IA3 Under the 2025 Syllabus
- Working time is 90 minutes (down from 120 minutes), with 5 minutes of perusal time.
- The exam samples three of the five Unit 4 topics, plus assumed knowledge from earlier units and Mathematical Methods.
- Exams should include genuine complex unfamiliar questions with non-routine contexts and limited scaffolding.
How to Improve Your Specialist Maths IA Results
- For IA1, justify every assumption and observation, and explain why the model needs it.
- Evaluate against your results, observations and assumptions, not just one of them.
- Give several strengths and several limitations, each with a reason, and put limitations in context.
- Verify your results as you develop the solution, for example by checking with technology or an alternative method.
- Use notation precisely in the report, including vector, matrix and complex number conventions.
- For IA2 and IA3, show every step so you earn half marks and follow-through marks.
- Finish every claim or decision question with a clear conclusion.
- Practise 90-minute papers that mix analytical and technology-active questions.
For more preparation:
- read our 2025 QCE Specialist Maths external assessment breakdown
- follow our guide to getting an A in QCE Specialist Mathematics
- see our 2025 QCE Maths Methods internal assessment breakdown
- learn how IA1, IA2 and IA3 work.
Need Help With QCE Specialist Maths?
Our QCE Specialist Mathematics tutors work one-on-one with students to plan and write a high-scoring PSMT, prepare for the IA2 and IA3 exams, and set out proofs and working the way markers expect.
Source: Queensland Curriculum & Assessment Authority, Specialist Mathematics subject report, 2025 cohort (January 2026).
