Question 1 of 3 · Calculator allowed
A geometric sequence has first term 3 and common ratio 2. Find its sixth term.
u₆ = ar⁵ = 3×2⁵ = 3×32 = 96.
IB AI HL · 2029 · IBMathematics,
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Question 2 of 3 · Calculator allowed
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 · Calculator allowed
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.
Sequences
Correct answer: 96
u₆ = ar⁵ = 3×2⁵ = 3×32 = 96.
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.
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26 areasFind your starting point.
01Representation of functions
Specification reference: A1 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.
02Polynomial functions
Specification reference: A2 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.
03Functions with asymptotes
Specification reference: A3 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.
04Trigonometric functions
Specification reference: A4 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.
05Piecewise functions
Specification reference: A5 Piecewise functions
Piecewise 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 Piecewise functions requires. Keep exact values until the final step and check signs, units and reasonableness.
06Transformations of graphs and functions
Specification reference: A6 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.
07Approximation and error
Specification reference: B1 Approximation and error
Approximation and error 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 Approximation and error requires. Keep exact values until the final step and check signs, units and reasonableness.
08Sequences
Specification reference: B2 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.
09Use of technology applications
Specification reference: B3 Use of technology applications
Use of technology 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 Use of technology applications requires. Keep exact values until the final step and check signs, units and reasonableness.
10Exponentials
Specification reference: B4 Exponentials
Exponentials 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 Exponentials requires. Keep exact values until the final step and check signs, units and reasonableness.
11Matrices
Specification reference: B5 Matrices
Matrices 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 Matrices requires. Keep exact values until the final step and check signs, units and reasonableness.
12Straight line geometry
Specification reference: C1 Straight line geometry
Straight line geometry 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 Straight line geometry requires. Keep exact values until the final step and check signs, units and reasonableness.
13Surface areas, volumes and measurement in circles
Specification reference: C2 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.
14Trigonometry and its applications
Specification reference: C3 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.
15Vectors
Specification reference: C4 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.
16Graph theory
Specification reference: C5 Graph theory
Graph theory 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 Graph theory requires. Keep exact values until the final step and check signs, units and reasonableness.
17Univariate 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.
18Bivariate data
Specification reference: D2 Bivariate data
Bivariate 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 Bivariate data requires. Keep exact values until the final step and check signs, units and reasonableness.
19Probability
Specification reference: D3 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.
20Probability distributions
Specification reference: D4 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.
21Inferential statistics
Specification reference: D5 Inferential statistics
Inferential statistics 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 Inferential statistics requires. Keep exact values until the final step and check signs, units and reasonableness.
22Principles 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.
23Techniques 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.
24Techniques 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.
25Problem-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.
26Differential 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.
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IB AI HL · 2029 · IB · Mathematics · first-assessment-2029
Applications and interpretation HL, first assessment May 2029; subject brief published 2026
Source checked: 2026-08-27. The current official specification controls assessment requirements and option choices.
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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 AI HL · 2029 IB Mathematics route cover?
LearningP currently maps 26 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 285 original LearningP question records for this route. Every mapped area meets the current publication minimum and passed the latest blocker and review audit.
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Use the official IB AI HL · 2029 specification and assessment-resource pages linked on this page, together with information supplied by the learner’s school.
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