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IB Math AI SL

Math AI SL Exam Skills & Techniques

Master the IB Mathematics: Applications and Interpretation SL exam. Paper structures, command terms, marking criteria (M/A/R), GDC strategies, and expert tips for Paper 1 and Paper 2.

150 teaching hours • 2 external papers • 1 internal assessment (Exploration)

Start Studying Math AI SL

Math AI SL Assessment at a Glance

40%
Paper 1
GDC required • 1h 30m
40%
Paper 2
GDC required • 1h 30m
20%
Internal Assessment
Exploration • 6–12 pages

Math AI SL Paper Structure

Know exactly what to expect in each paper and how to maximise your marks.

Paper 1

Technology-active (GDC)
1 hour 30 minutes•80 marks•40% of final grade

What to expect:

GDC required throughout — use it effectively
Short-answer and extended-response questions
Covers all 5 topics, emphasis on Algebra and Functions
Method marks awarded independently of final answer

Key Tips

  • Show all working — method marks are awarded independently of the final answer.
  • Use your GDC to check arithmetic and solve equations efficiently.
  • Check units carefully — marks are often lost on rounding or unit errors.

Easy Marks

  • Write down the value directly from a graph or table
  • State the domain or range from a given function
  • Substitute into a given formula

Watch Out

  • Record GDC outputs clearly — answers without working shown can lose marks
  • Round only at the final step; keep full precision in working
  • "Show that" questions require every step — never assume the result

Paper 2

Technology-active (GDC)
1 hour 30 minutes•80 marks•40% of final grade

What to expect:

GDC required throughout
Extended-response, real-world modelling questions
Regression, statistics, and calculus are heavily tested
All answers must reference the real-world context

Key Tips

  • Set up your GDC correctly for regression and distribution calculations.
  • Write down GDC outputs before interpreting them — you need evidence of working.
  • Read the context carefully — every question is set in a real-world scenario.

Easy Marks

  • Find the equation of a regression line using GDC
  • Calculate normal or binomial probabilities from GDC
  • Find the gradient of a curve at a point using GDC

Watch Out

  • Record all GDC outputs — answers without working shown receive zero
  • Interpretation answers must reference the context, not just numbers
  • Degrees vs radians — check your GDC mode matches the question

Math AI SL Command Terms

Command terms tell you exactly what the examiner expects. Filter by Assessment Objective (AO).

Write down1–2 marks

Read off or spot the answer directly — minimal working needed. You do not need to show calculation steps, just record what you found.

State1 mark

Give a single short answer: a name, a number, or a term. No explanation required — just the fact itself.

Calculate2–4 marks

Work through the maths and arrive at a numerical answer. Show the key steps so the examiner can follow your method.

Find2–4 marks

Get the answer and show enough working for the examiner to follow. You can use your GDC unless the question says otherwise.

Determine2–4 marks

Work out the one correct answer the information leads to. Show the reasoning that gets you there — there is only one valid result.

Show that2–4 marks

The answer is already printed in the question — your job is to prove it. Show every single step clearly; never skip ahead or work backwards from the answer.

Hence2–4 marks

You must use your answer from the previous part. Starting fresh with a completely different method risks losing marks.

Hence or otherwise2–4 marks

Using your previous answer is the quickest route, but any correct method earns full marks. You have a choice.

Sketch2–3 marks

Draw a rough graph that shows the key shape, intercepts, and turning points. Exact scale is not required — clear labels are.

Draw2–4 marks

Produce an accurate, properly scaled graph or diagram. All values, axes, and labels must be clearly and correctly shown.

Estimate1–2 marks

Give a sensible approximate answer. State any assumptions you rely on to get there — precision is not the goal here.

Verify1–2 marks

Confirm the result is correct by substituting values back into the expression. Both sides must match — show that they do.

Describe2–3 marks

Pick out the key features of the graph, model, or situation. What trend, shape, or behaviour do you notice? Be specific.

Interpret2–3 marks

Explain what the number or result actually means in the real-world context of the question. A pure maths answer is not enough — say what it means.

Justify2–4 marks

Back up your answer with mathematical reasons. Show why your conclusion must be correct — not just what it is.

Comment1–2 marks

Give a brief, specific observation about the result — usually relating it to the context or comparing it to a threshold or expectation.

IB Math AI SL Formula Booklet

Every formula printed in your official booklet, organised by topic. Know exactly which ones are given — and which ones you need to memorise.

View Formula Booklet

Free — no account needed

What Examiners Expect

Match your answer depth to the marks available.

M marks (Method)Awarded for attempting the correct mathematical method, even if you make an arithmetic error.

Example questions:

  • "Setting up the correct equation before solving"
  • "Using the right formula with correct substitution"
  • "Differentiating correctly even if numerical error follows"

You can still earn M marks even if your answer is wrong — always show your method clearly.

A marks (Accuracy)Awarded only if the answer is correct (or follows correctly from an earlier error — follow-through applies).

Example questions:

  • "Correct final numerical answer"
  • "Correct equation after valid algebraic manipulation"
  • "Follow-through answer consistent with an earlier error"

If you make an error in an earlier part, follow-through (FT) means you can still earn A marks in later parts using your wrong value.

R marks (Reasoning)Awarded for providing a valid mathematical justification, often linked to conclusions or "hence" questions.

Example questions:

  • "Explaining why a value satisfies a condition"
  • "Justifying a conclusion with reference to a test or inequality"
  • "Linking the result of one part to answer the next"

R marks often appear in "justify", "hence", or "interpret" questions — always write a sentence explaining your reasoning.

AG (Answer Given)"Show that" questions have the answer in the question. You must prove it — you cannot assume the result.

Example questions:

  • "Show that f(x) = 2x + 3 is the equation of the tangent"
  • "Show that the sum of the series is 120"

No marks are awarded for AG questions if you work backwards from the answer. Start from first principles and show every step.

Math AI SL-Specific Skills

These concepts appear throughout Math AI SL exams. Master them to score higher.

Master your GDC for Paper 2

Know how to perform regression, solve equations graphically, find intersections, and use statistical distributions on your calculator. GDC efficiency is the difference between finishing and running out of time.

Use the formula booklet wisely

The formula booklet is provided in both papers. Know which formulas are given and which are not — some key ones (like compound interest) are included, others you must memorise.

Always write context

Math AI questions are always set in real-world contexts. When a question asks you to "interpret" or "comment", your answer must refer back to the context — pure maths answers lose marks.

Round correctly and consistently

Round to 3 significant figures (3 s.f.) unless told otherwise. Keep full precision in intermediate working and round only in the final answer. State units where required.

Statistics is worth the most marks

Topic 4 (Statistics and Probability) is consistently the largest component in Math AI exams. Master distributions, hypothesis tests, and regression — they appear in almost every paper.

Common Math AI SL Mistakes to Avoid

Learn from others' mistakes. These cost students marks every exam session.

Not recording GDC outputs in working

Both papers allow GDC use. Always write down what you entered and what the GDC returned — answers without visible working can receive zero marks.

Not showing working in "Show that" questions

The answer is already given in the question. You must show every step of working — you cannot assume the result.

Ignoring context in interpretation questions

Answers like "the gradient is 2" earn zero marks if the question asks what it means. Link every interpretation back to the real-world context.

Rounding intermediate working

Keep full calculator precision until the final step. Rounding too early causes accuracy errors that cascade through multi-part questions.

Forgetting follow-through marks

If you get an earlier part wrong, subsequent parts can still earn "follow-through" marks if you use your wrong answer consistently. Write method clearly.

Confusing "hence" and "hence or otherwise"

"Hence" means you must use the previous result. "Hence or otherwise" allows other methods. Ignoring this costs marks in "hence" questions.

Mathematical Exploration

20% of final grade • 6–12 pages

A written investigation in which students explore a mathematical topic of personal interest. The Exploration must demonstrate mathematical communication, personal engagement, and correct use of mathematical language and notation.

Marking Criteria

A: Presentation4 marks
B: Mathematical Communication4 marks
C: Personal Engagement3 marks
D: Reflection3 marks
E: Use of Mathematics6 marks

Tips for Top Marks

  • Choose a topic you genuinely find interesting — personal engagement (Criterion C) is marked separately.
  • Use correct notation throughout: define all variables and use standard mathematical symbols.
  • Include a "limitations" section in your reflection to show critical thinking.
  • Your mathematics must be at SL level or above — do not use only basic arithmetic.
  • Show all calculations and justify every step — do not assume the reader can fill in gaps.
  • Proofread your notation carefully: a single misused symbol can lose presentation marks.

Ready to Practice?

Apply these exam skills with our Math AI SL practice questions. Get instant AI feedback that shows exactly what scored marks and how to improve.

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