Paper 1
No calculator allowed
Standard Level
Higher Level
Time
1 hour 30 minutes
2 hours
Marks
80
110
What to expect
- Short and extended response questions
- Tests algebraic manipulation, analytical thinking, and proof
- Formula booklet provided
Further reading: IB Maths AA HL catch-up plan
IB Mathematics (AA & AI)
Expert IB Maths TutorBarcelona centre · online worldwide
Build real understanding for IB Diploma Mathematics — Analysis & Approaches and Applications & Interpretation — at Standard Level and Higher Level. Concept-first tutoring with 30+ years of experience that turns confusion into confidence and targets the grades you need.
AA & AI · SL & HLPapers & IABarcelona & OnlineGroup & 1-to-1
Our Approach
How We Help You Succeed in IB Mathematics
1
Diagnostic Assessment
We start by identifying exactly where you stand. Which topics are solid, which need work, and what exam technique gaps exist.
2
Concept-First Teaching
We teach the logic behind the formula. When students understand why, they can tackle problems they have never seen before.
3
Past Paper Mastery
We work through real IB past papers under timed conditions. You learn the examiner's language and common traps.
4
Exam Confidence
By exam day, you have seen every question type. No surprises, no panic. Just structured, confident performance.
IB Mathematics (AA & AI) Syllabus
What You'll Learn
𝑥
Number & Algebra
Sequences, series, binomial theorem, logarithms, and proof. HL students also cover complex numbers, proof by induction, and counting principles.
ƒ
Functions
Domain, range, composite and inverse functions, transformations, and graphing. HL extends to polynomial theory, factor and remainder theorems, and rational functions.
Δ
Geometry & Trigonometry
Trigonometric identities, circular functions, sine and cosine rules, and 3D geometry. HL adds vectors in 3D, cross product, and intersections of lines and planes.
σ
Statistics & Probability
Descriptive statistics, probability distributions (binomial, normal), regression, and hypothesis testing. HL extends to Poisson distribution, Bayes' theorem, and continuous distributions.
∫
Calculus
Differentiation, integration, kinematics, and optimisation. HL goes deeper into related rates, volumes of revolution, differential equations, Maclaurin series, and l'Hopital's rule.
📝
Internal Assessment
We help you choose a strong IA topic, structure your exploration, and present mathematical reasoning clearly. The IA is worth 20% of your final grade.
IB Mathematics Exam Format
Understanding the exam structure is the first step to exam success. We practise under real exam conditions so there are no surprises on the day.
Assessment model
External papers + Internal Assessment (20%)
Paper 1
Non-calculator · analytical core
Paper 2
GDC required · modelling & applied stems
HL extension
Paper 3 — problem solving (1 hour)
Paper 2
Graphic display calculator required
Standard Level
Higher Level
Time
1 hour 30 minutes
2 hours
Marks
80
110
What to expect
- Short and extended response questions
- Emphasis on modelling, statistics, and calculus applications
- Formula booklet provided
HL students in Analysis & Approaches also sit Paper 3: a 1-hour problem-solving paper with extended investigative questions. Paper sets and options differ by course (AA vs AI) and level — we align to your exact prescription.
Download the latest IB Math formula booklet (annotated reference we use in lessons). Browse all free materials.
Why families choose 4S Academy
Real teaching. Real results.
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“Bernat now feels confident with Math and Physics. He feels prepared for university. Suneel's help has been the key to Bernat's confidence and understanding.”
B
Bernat's Parent
IB Math & Physics HL · Barcelona
★★★★★
“Suneel transformed my son's relationship with Maths completely. From dreading every lesson to genuinely enjoying problem-solving, in just a few months. Incredible patience and expertise.”
M
Marco's Parent
IB Math AA SL · Online
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30+
years teaching maths & physics
MSc
Physics, UAB Barcelona
12+
international schools in Barcelona
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