Question 1 of 3 · No calculator needed
Let a=(2,-1,3) and b=(-4,5,1). Find a+b.
Add corresponding components: (2-4, -1+5, 3+1) = (-2,4,4).
IB AA HL · 2029 · IBMathematics,
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Question 2 of 3 · No calculator needed
Solve dy/dx = 2xy with y = 3 when x = 0.
Separate variables: dy/y = 2x dx. Integrating gives lny = x² + C, so y = Ae^(x²). The initial condition gives A = 3.
Question 3 of 3 · No calculator needed
How many real solutions does x⁴ + 1 = 3x² have?
Let u = x². Then u² - 3u + 1 = 0 has two positive roots. Each positive value of u gives two real values x = ±√u, so there are four real solutions.
These tiles show your answers to three questions. They are a starting point, not a mastery score or grade prediction.
Vectors
Correct answer: (-2,4,4)
Add corresponding components: (2-4, -1+5, 3+1) = (-2,4,4).
Differential equations
Correct answer: y = 3e^(x²)
Separate variables: dy/y = 2x dx. Integrating gives lny = x² + C, so y = Ae^(x²). The initial condition gives A = 3.
Polynomial functions
Correct answer: 4
Let u = x². Then u² - 3u + 1 = 0 has two positive roots. Each positive value of u gives two real values x = ±√u, so there are four real solutions.
For parents: look at the explanation together. A correct answer is encouraging; a missed answer gives you something specific to work on. Broader practice over time is needed to understand progress.
YOUR TOPIC MAP
22 areasFind your starting point.
01Sequences
Specification reference: A1 Sequences
Sequences requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Sequences requires. Keep exact values until the final step and check signs, units and reasonableness.
02Exponents and logarithms
Specification reference: A2 Exponents and logarithms
Exponents and logarithms requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Exponents and logarithms requires. Keep exact values until the final step and check signs, units and reasonableness.
03Combinatorics
Specification reference: A3 Combinatorics
Combinatorics requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Combinatorics requires. Keep exact values until the final step and check signs, units and reasonableness.
04Complex numbers
Specification reference: A4 Complex numbers
Complex numbers requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Complex numbers requires. Keep exact values until the final step and check signs, units and reasonableness.
05Proof and algebraic manipulation
Specification reference: A5 Proof and algebraic manipulation
Proof and algebraic manipulation requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Proof and algebraic manipulation requires. Keep exact values until the final step and check signs, units and reasonableness.
06Representation of functions
Specification reference: B1 Representation of functions
Representation of functions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Representation of functions requires. Keep exact values until the final step and check signs, units and reasonableness.
07Polynomial functions
Specification reference: B2 Polynomial functions
Polynomial functions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Polynomial functions requires. Keep exact values until the final step and check signs, units and reasonableness.
08Functions with asymptotes
Specification reference: B3 Functions with asymptotes
Functions with asymptotes requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Functions with asymptotes requires. Keep exact values until the final step and check signs, units and reasonableness.
09Trigonometric functions
Specification reference: B4 Trigonometric functions
Trigonometric functions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Trigonometric functions requires. Keep exact values until the final step and check signs, units and reasonableness.
10Transformations of graphs and functions
Specification reference: B5 Transformations of graphs and functions
Transformations of graphs and functions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Transformations of graphs and functions requires. Keep exact values until the final step and check signs, units and reasonableness.
11Surface areas, volumes and measurement in circles
Specification reference: C1 Surface areas, volumes and measurement in circles
Surface areas, volumes and measurement in circles requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Surface areas, volumes and measurement in circles requires. Keep exact values until the final step and check signs, units and reasonableness.
12Trigonometry and its applications
Specification reference: C2 Trigonometry and its applications
Trigonometry and its applications requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Trigonometry and its applications requires. Keep exact values until the final step and check signs, units and reasonableness.
13Vectors
Specification reference: C3 Vectors
Vectors requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Vectors requires. Keep exact values until the final step and check signs, units and reasonableness.
14Univariate data
Specification reference: D1 Univariate data
Univariate data requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Univariate data requires. Keep exact values until the final step and check signs, units and reasonableness.
15Probability
Specification reference: D2 Probability
Probability requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Probability requires. Keep exact values until the final step and check signs, units and reasonableness.
16Probability distributions
Specification reference: D3 Probability distributions
Probability distributions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Probability distributions requires. Keep exact values until the final step and check signs, units and reasonableness.
17Principles of differential calculus
Specification reference: E1 Principles of differential calculus
Principles of differential calculus requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Principles of differential calculus requires. Keep exact values until the final step and check signs, units and reasonableness.
18Techniques of differential calculus
Specification reference: E2 Techniques of differential calculus
Techniques of differential calculus requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Techniques of differential calculus requires. Keep exact values until the final step and check signs, units and reasonableness.
19Techniques of integral calculus
Specification reference: E3 Techniques of integral calculus
Techniques of integral calculus requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Techniques of integral calculus requires. Keep exact values until the final step and check signs, units and reasonableness.
20Problem-solving using calculus
Specification reference: E4 Problem-solving using calculus
Problem-solving using calculus requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Problem-solving using calculus requires. Keep exact values until the final step and check signs, units and reasonableness.
21Differential equations
Specification reference: E5 Differential equations
Differential equations requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Differential equations requires. Keep exact values until the final step and check signs, units and reasonableness.
22Maclaurin series
Specification reference: E6 Maclaurin series
Maclaurin series requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Maclaurin series requires. Keep exact values until the final step and check signs, units and reasonableness.
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IB AA HL · 2029 · IB · Mathematics · first-assessment-2029
Analysis and approaches HL, first assessment May 2029; subject brief published 2026
Source checked: 2026-08-27. The current official specification controls assessment requirements and option choices.
Can parents and students try LearningP before signing up?
Yes. This page offers three original questions from three different skills on this exact course. Each answer has an explanation, followed by a sample heatmap showing what was correct and what to revisit. No account is needed, and taster answers are not saved.
What does the three-question heatmap tell a parent?
It shows the outcome of these three answers and gives a specific skill to discuss or practise next. It is not a full assessment, a mastery score or a grade prediction. Broader practice over time is needed to understand progress.
What does the IB AA HL · 2029 IB Mathematics route cover?
LearningP currently maps 22 assessed areas for specification first-assessment-2029. The visible topic map below is derived from the verified route; the current official specification remains controlling.
How many LearningP questions support this route?
The verified source bank contains 256 original LearningP question records for this route. Every mapped area meets the current publication minimum and passed the latest blocker and review audit.
Does LearningP reproduce official exam questions?
No. LearningP uses official specifications and assessment materials to map content and demand, while its practice questions and explanations are independently authored.
Can this page predict an exam grade?
No. LearningP reports practice evidence, coverage, strengths and gaps. It does not guarantee or automatically predict examination outcomes.
Where should current assessment information be checked?
Use the official IB AA HL · 2029 specification and assessment-resource pages linked on this page, together with information supplied by the learner’s school.
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