Studying IB Mathematics AA is not just about understanding the topics.

You might understand differentiation during a lesson but struggle when a question combines differentiation with algebra. You might know how to solve a quadratic equation but lose marks because your working is incomplete.

This is why practicing questions is essential.

However, the way you practice should reflect the course you are taking.

IB Math AA HL and AA SL practice share important mathematical foundations, but they do not have identical expectations. HL students need to develop greater depth and handle more demanding mathematical reasoning. SL students need to build reliable methods, clear working, and confidence applying the mathematics they have studied.

In this guide, you will learn how to practice questions for both courses, identify the skills that need attention, and use Mathzem to review your solutions.

1. Start with the correct course

Before attempting a practice question, check that it belongs to your course.

Mathzem supports both:

IB Mathematics Analysis and Approaches Higher Level (AA HL)

IB Mathematics Analysis and Approaches Standard Level (AA SL)

Although the courses share many topics, you should not assume that every question is suitable for both levels.

Your practice should match your syllabus and the mathematical depth expected in your course.

For example, both courses involve functions and calculus. However, AA HL students need to work with additional mathematical depth and more demanding applications.

Choosing the correct course helps keep your practice relevant.

2. Choose one topic instead of practicing everything at once

Many students open a collection of questions and start solving them randomly.

This can be useful for mixed revision, but it is not always the best way to improve a specific weakness.

If you are struggling with integration, completing several unrelated probability questions will not directly address the problem.

Start by choosing one topic.

The main AA Mathematics topic areas include

Topic	Skills to practise
Number and Algebra	Algebraic manipulation, sequences, equations, and logarithms
Functions	Graphs, transformations, composite functions, and inverse functions
Geometry and Trigonometry	Trigonometric relationships, identities, and vectors
Statistics and Probability	Probability, distributions, and interpreting results
Calculus	Differentiation, integration, and applications

Once you have selected a topic, narrow it down further.

For example, instead of practising all of calculus, focus on differentiation. You can then work on the chain rule, product rule, or applications of derivatives.

This makes it easier to understand which particular skill needs improvement.

3. How AA SL students should practice

AA SL students need to develop reliable mathematical methods and apply them accurately.

Understanding a formula is only the beginning. You need to recognise when to use it and show the steps clearly.

Consider this example.

Question: Solve

[
x^2-5x+6=0
]

Factorising gives:

[
(x-2)(x-3)=0
]

Therefore:

[
x=2 \quad \text{or} \quad x=3
]

The final answer is straightforward, but the working shows how you reached it.

When practising AA SL questions, focus on:

1. Recognising the mathematical method required.
2. Applying formulas correctly.
3. Showing enough working to make your reasoning clear.
4. Checking signs, substitutions, and algebraic simplification.
5. Interpreting your answer when the question provides a real context.

A useful approach is to practise a small set of questions on one skill, review your mistakes, and then attempt a slightly different question.

Do not move to more difficult questions simply because you have completed a certain number. Move forward when you can apply the method with reasonable consistency.

4. How AA HL students should practise

AA HL requires students to develop mathematical depth and handle more demanding reasoning.

It is not enough to memorise a method and apply it to a familiar question.

You need to recognise mathematical relationships, connect different skills, and work through longer problems.

Consider this example involving differentiation.

Question: Differentiate

[
f(x)=x^2e^{3x}
]

This requires the product rule because the function is the product of two expressions.

Recall:

[
\frac{d}{dx}(uv)=u’v+uv’
]

Let:

[
u=x^2,\qquad v=e^{3x}
]

Then:

[
u’=2x,\qquad v’=3e^{3x}
]

Applying the product rule:

[
f'(x)=2xe^{3x}+3x^2e^{3x}
]

Factorising:

[
\boxed{f'(x)=e^{3x}(2x+3x^2)}
]

The important part is recognising which rules are needed and applying them correctly.

For AA HL practice, focus on:

1. Understanding why a mathematical method works.
2. Connecting algebra, functions, trigonometry, and calculus.
3. Solving multi step questions without skipping important reasoning.
4. Practising unfamiliar applications rather than memorising examples.
5. Explaining and justifying mathematical steps where required.

You should also practise the additional depth expected in HL topics, rather than relying only on questions that test shared SL foundations.

5. Increase question difficulty gradually

A common mistake is attempting the hardest questions before becoming confident with the underlying method.

A better approach is to build your skills in stages.

Stage 1: Understand the basic method

Start with questions that test one clear mathematical skill.

For example, practise basic differentiation before attempting a long optimisation problem.

Stage 2: Apply the method in a different form

Try questions that use the same mathematical idea but present it differently.

This checks whether you understand the method rather than simply remember a worked example.

Stage 3: Combine mathematical skills

Attempt questions that require more than one step or connect different topics.

For AA HL students, this is particularly important when working with longer problems.

Stage 4: Practise under exam conditions

Set a reasonable time limit, work independently, and avoid checking the solution before you finish.

Afterwards, review your working carefully.

The goal is to become comfortable with unfamiliar questions, not just familiar exercises.

6. Review your written working, not only the final answer

Suppose you solve a calculus question and get the wrong answer.

There are several possible reasons:

You may have selected the wrong differentiation rule.

You may have applied the correct rule but made an algebra error.

You may have understood the mathematics but substituted the wrong value.

These errors need different types of practice.

Simply checking the final answer does not tell you which problem occurred.

This is why reviewing your written solution matters.

When checking an attempt, ask:

1. Did I understand what the question was asking?
2. Did I choose the correct method?
3. Did I apply the method accurately?
4. Did I show the important steps?
5. Did I interpret the final answer correctly?

For more detailed feedback, you can upload your handwritten work to Mathzem’s AI Examiner.

It reviews the visible working and provides feedback on marks, mistakes, and areas that need attention. The feedback is intended to support learning and should be cross-checked with your teacher and official IB resources where necessary.

7. Use Mathzem to practice AA HL and AA SL questions

Mathzem’s IB Practice workspace allows students to choose their course and focus on specific mathematical topics.

Here is how to use it:

Step 1: Open IB Practice

Visit the Mathzem IB Practice page.

Step 2: Select your course

Choose AA HL or AA SL.

Step 3: Choose a topic

Select the topic you want to practise, such as calculus, functions, algebra, or trigonometry.

Step 4: Choose a focus or subtopic

Narrow your practice to the specific skill you want to improve.

Step 5: Attempt the question independently

Solve it on paper as you would in an examination. Show your working rather than writing only the final answer.

Step 6: Upload your solution

You can upload an image, paste a screenshot, or use the phone upload option.

Step 7: Review the feedback

Check the marks, mistakes, and next step guidance from the AI Examiner.

Step 8: Use the feedback to guide your next practice session

If the same type of error appears repeatedly, return to that skill and practise it again.

Your goal is to understand the mathematics behind your mistakes and make your next attempt more accurate.

8. Build a weekly practice routine

You do not need to spend every evening completing a large number of questions.

A focused routine can help you practise consistently without losing time reviewing topics you already understand.

Here is an example weekly structure.

Day	Practice focus
Monday	Algebra and functions
Tuesday	Calculus
Wednesday	Geometry and trigonometry
Thursday	Statistics and probability
Friday	Review mistakes from the week
Saturday	Mixed exam style questions
Sunday	Light revision and preparation for next week

Adjust the topics according to your course, current school content, and examination schedule.

For AA HL students, include additional time for deeper applications and longer questions.

For AA SL students, give particular attention to accurate methods, clear working, and consistent application of core skills.

Most importantly, reserve time for reviewing mistakes. Completing questions without understanding your errors can leave the same problems unresolved.

9. Know what to do when you get a question wrong

Do not immediately move to the next question.

Use a simple review process.

First: Find the first incorrect step.

Second: Identify the mathematical concept involved.

Third: Understand why your approach was incorrect.

Fourth: Write the correct method in your own words.

Fifth: Attempt another question using the same skill.

For example, if you repeatedly make mistakes when applying the chain rule, do not simply revise all of calculus.

Practise the chain rule in different expressions until you can recognise and apply it independently.

Mathzem’s Mistake Journal and Weakness Map can help you review recurring errors and identify topics that deserve more attention.

10. What should you practise before your IB Math exams?

As your examinations approach, gradually move from individual topic practice towards mixed questions and timed work.

A useful progression is:

Early revision

Focus on understanding concepts and strengthening weak foundations.

Middle revision

Practise different question styles within each topic. Review mistakes and work on the methods that cause difficulty.

Final revision

Attempt mixed exam style questions under timed conditions. Practise organising your working, managing time, and checking your answers.

Do not spend all your revision time repeating questions you already find easy.

Your practice should reflect the areas where you still need improvement.

Frequently Asked Questions About IB Math AA HL and AA SL Practice

Is AA HL much harder than AA SL?

AA HL requires greater mathematical depth and includes additional content. It also expects students to handle more demanding applications and reasoning. Both courses require consistent practice and a strong understanding of mathematical methods.

Can AA SL students use AA HL practice questions?

Some questions may involve shared mathematical skills, but not every HL question is appropriate for SL preparation. Check the syllabus and make sure the question matches the level and content you are studying.

How many practice questions should I complete each day?

There is no single number that works for every student. A few carefully reviewed questions can be more useful than a large number completed without checking the working. Focus on the quality of your practice.

Should I practise by topic or complete mixed questions?

Use both. Topic practice helps you strengthen specific skills. Mixed questions help you recognise which methods to use when the question does not tell you directly.

How can I improve my AA HL or AA SL exam performance?

Practise consistently, review your written methods, identify recurring mistakes, and attempt unfamiliar questions. Use feedback to decide what to practise next rather than repeating only the questions you already understand.

Can Mathzem help with both AA HL and AA SL?

Yes. Mathzem IB Practice supports AA HL and AA SL, as well as both AI courses. Students can select their course, choose a topic and focus, attempt a question, upload their working, and review AI Examiner feedback.

Final thoughts

Preparing for IB Math AA HL and AA SL is not about completing the largest number of questions.

It is about becoming more accurate, understanding mathematical methods, and learning to handle questions you have not seen before.

Choose the correct course. Practise one topic at a time. Show your working. Review your mistakes. Then try another question.

Make every practice session teach you something.

Ready to practise?

Open Mathzem IB Practice, select AA HL or AA SL, choose a topic, and start working through exam style questions with feedback on your written solutions.