IB Maths Paper 3: Format, Marks and How to Prepare
Paper 3 is the extended problem-solving paper that only Higher Level (HL) Maths students sit. It has two compulsory questions, is worth 20% of the final mark, and rewards clear reasoning more than speed. The best way to prepare is to practise exam-style investigations under timed conditions, mark them against real examiner mark schemes, and track which skills cost you marks. Tiber Tutor is built for exactly that routine, with questions and mock exams written by IB examiners and analytics that show you where the marks are going.
TL;DR
- Paper 3 is for HL students only: two compulsory extended-response questions, 55 marks, 20% of your final grade.
- Each question follows one theme, starts gently and ends with a generalisation or interpretation.
- Marks come from method (M), accuracy (A) and reasoning ®, so working and written explanations matter as much as answers.
- Prepare with timed practice, then mark your own work against official mark schemes and log your errors by type.
- Tiber Tutor’s IB Maths AA resources bring questions, mocks, mark schemes and progress tracking into one place.
Table of Contents
- What Paper 3 is and who sits it
- What the questions look like
- How Paper 3 is marked
- A preparation plan that works
- Habits that gain marks on the day
- Our view on Paper 3
- Start practising with Tiber Tutor
- FAQ
- Sources
What Paper 3 is and who sits it
The official Mathematics: analysis and approaches guide describes Paper 3 as two compulsory extended-response problem-solving questions, worth 55 marks and 20% of the final mark. A graphic display calculator (GDC) is required, though not every part will need it. The November 2024 version of the guide gives the paper’s length as 1 hour 15 minutes.
That is roughly 37 minutes a question, and 55 marks across 75 minutes leaves little spare time. Check the current timing in your own course documents before exam season, as the IB revises its guides.
HL versus SL
SL students do not sit Paper 3. HL and SL share the same internal assessment: the exploration is 20% of the final mark and uses the same criteria at both levels, according to the IB’s own overview of the mathematics courses. The same document explains that HL adds 90 hours of content to deepen understanding and introduce more complex ideas. Paper 3 is where that extra depth is tested. If you are deciding between levels, the paper is a good reason to ask yourself whether you enjoy long, open-ended problems.
Our IB Maths exam breakdown lays out how Paper 3 sits alongside Papers 1 and 2.
What the questions look like
The subject guide says Paper 3 questions need sustained reasoning. They develop from a single theme, emphasise problem solving, and lead to a generalisation or an interpretation of a context. Difficulty normally climbs from relatively easy early parts to demanding final parts.
In practice that means you are handed an unfamiliar set-up and walked through it. The May 2023 Time Zone 2 paper, for example, includes examining intersection points of logarithmic graphs and investigating functions built from arithmetic sequences. Neither is a textbook exercise. Each blends several syllabus topics, so Paper 3 can draw on any part of the HL content.
A useful way to read a Paper 3 question:
- Early parts check you can set up the context. Take these marks reliably.
- Middle parts ask you to use a result you have just met, often with the GDC.
- Final parts ask you to generalise, justify or interpret. These are where the top grades are decided.
How Paper 3 is marked
The official May 2023 mark scheme uses these codes:
| Mark | What it rewards |
|---|---|
| M | Attempting a correct method |
| A | A correct answer or accuracy, usually dependent on an earlier M mark |
| R | Clear reasoning |
| AG | An answer given in the question, so you must show how it arises |
| FT | Follow-through: credit for correct later work after an earlier error |
Two consequences matter. First, a correct answer with no working may not earn full marks. The exam paper’s own instructions say answers must be supported by working or explanations, and that GDC solutions need suitable working too. Second, an early slip does not have to sink the whole question, because follow-through marks reward correct subsequent work.
The guide also sets out how the paper’s marks are spread across the assessment objectives. Problem solving carries 20 to 30%, inquiry-based approaches 15 to 30%, and communication and interpretation 15 to 25%. In plain terms, you earn marks by showing how you think. The IB grade descriptors for mathematics describe a Grade 7 student as someone who makes generalisations, justifies conclusions and communicates clearly, effectively and concisely. That is a precise description of a strong Paper 3 script.
A preparation plan that works
You have time to build this skill, so treat it as a skill and not as a topic to memorise.
Step 1: Secure the content first
Because Paper 3 can combine anything from the HL syllabus, weak spots in calculus, sequences, proof or differential equations will surface here. Work through the topic tests to find gaps, then close them before you attempt full investigations.
Step 2: Practise whole questions, not fragments
Do one extended question at a time with a timer of about 35 to 37 minutes. Resist looking at the final parts’ hints in advance. Our exam-style questions are written by IB examiners to match the style and structure of the real paper, so the practice looks like the exam you will sit.
Step 3: Mark yourself like an examiner
This is the step most students skip, and it is where the biggest gains sit. Take the mark scheme and award yourself M, A and R marks line by line. Ask where you wrote a correct answer without enough justification, and where you missed an AG line that needed an explicit derivation. Student-led answer review on Tiber Tutor, with examiner mark schemes alongside, is designed for this.
Step 4: Log errors by type
Sort lost marks into categories: knowledge gap, GDC use, algebra slip, weak explanation, ran out of time. After three or four questions a pattern appears, and that pattern tells you what to fix. Tiber Tutor’s performance analytics do this tracking for you, so you spend your time on the problem and not the spreadsheet.
Step 5: Rehearse under full conditions
In the final months, sit a complete paper in one go. Our IB Maths AA mock exams let you practise pacing across all papers, and the exam breakdown guide helps you plan the weeks around them.
Habits that gain marks on the day
- Read the whole question first. The theme runs through every part, and later parts often reuse earlier results.
- Write a sentence where the question says “explain” or “justify”. R marks are for reasoning on the page.
- Show GDC setup. Note the function or equation you entered and what the screen told you.
- Do not stall. If a part defeats you, use the result given in the question and move on, so the follow-through marks stay available.
- Leave time to interpret. The last part often asks what your result means in context. A short, precise sentence is enough.
Our view on Paper 3
Paper 3 is the paper where students discover that mathematics is a way of thinking, not a list of methods. We see it as the best test of whether you can reason, and the best preparation is practice that looks and marks like the real thing.
That is why we built Tiber Tutor around examiner-written material. Questions, notes, tests, mock exams, mark schemes and progress tracking all connect, so a mistake in a mock can lead you straight to the right notes and the right follow-up questions. We believe this joined-up approach, together with our performance insights, is what makes the platform the strongest value for money among IB STEM resources.
Confidence comes from preparedness. When you can see your marks improve topic by topic, long investigations stop feeling unfamiliar and start feeling like a challenge you are ready for.
Oliver
Start practising with Tiber Tutor
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The All-Access Plan is $19 per month, and the Per-Subject Plan is $9 per month. Given that the content is written by actual IB examiners, we think that is the best value for money available to IB students. See the pricing page to choose a plan.
Parents can read how the platform supports their child on our parents page, and students will find a quick overview on the students page.
FAQ
Do SL students take IB Maths Paper 3?
No. Paper 3 is an HL component. SL and HL students share the same exploration (internal assessment), but the extra 90 hours of HL content and the extended problem-solving paper are what set HL apart.
How many marks and how much time is Paper 3?
It has two compulsory questions worth 55 marks in total and counts for 20% of the final grade. The November 2024 guide gives 1 hour 15 minutes. A GDC is required, so bring one you know well.
Can I get marks if my final answer is wrong?
Yes. The mark scheme awards M marks for a correct method and follow-through marks for correct later work after an earlier error. That is why showing every step matters.
Which topics come up most often?
Paper 3 can combine any HL content, and past papers have featured logarithmic graphs and sequences, alongside calculus-based modelling. Practise across the whole syllabus, not just favourite topics.
Is the exploration the same as Paper 3?
No. The exploration is the internal assessment, a written piece you complete during the course. Our IA criteria guide explains how it is marked. Paper 3 is an external, timed exam.
Sources
- IB Mathematics: analysis and approaches guide
- Guía de Matemáticas: Análisis y Enfoques (November 2024)
- IB Mathematics: Design, Content, and Rigor
- AA HL Paper 3 May 2023 TZ2 exam paper
- AA HL Paper 3 May 2023 TZ1 markscheme
- IB grade descriptors