Question 1 of 3 · No calculator needed
Which relation defines y as a function of x?
For every permitted x, y = 2x + 1 gives exactly one y-value. The other relations can give two y-values for one x.
HKEAA M2 · HKDSEMathematics,
Mathematics,
one step at a time.
Specification EDB-SSM-2017-HKEAA-2026-2029. Explore a topic, practise the skill, and see where to focus next.
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HKEAA M2 · EDB-SSM-2017-HKEAA-2026-2029LearningP is independent of HKEAA M2. Use the current official documents for assessment requirements.
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Question 2 of 3 · No calculator needed
Simplify (2 + i)(3 - 2i).
Expanding gives 6 - 4i + 3i - 2i². Since i² = -1, this is 6 - i + 2 = 8 - i.
Question 3 of 3 · No calculator needed
Solve log₂(x - 1) = 3.
Convert to exponential form: x - 1 = 2³ = 8. Hence x = 9, which satisfies x - 1 > 0.
These tiles show your answers to three questions. They are a starting point, not a mastery score or grade prediction.
Functions and graphs
Correct answer: y = 2x + 1
For every permitted x, y = 2x + 1 gives exactly one y-value. The other relations can give two y-values for one x.
Quadratic equations in one unknown
Correct answer: 8 - i
Expanding gives 6 - 4i + 3i - 2i². Since i² = -1, this is 6 - i + 2 = 8 - i.
Exponential and logarithmic functions
Correct answer: x = 9
Convert to exponential form: x - 1 = 2³ = 8. Hence x = 9, which satisfies x - 1 > 0.
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
38 areasFind your starting point.
01Quadratic equations in one unknown
Specification reference: CP 1
Quadratic equations in one unknown 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 Quadratic equations in one unknown requires. Keep exact values until the final step and check signs, units and reasonableness.
02Functions and graphs
Specification reference: CP 2
Functions and graphs 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 and graphs requires. Keep exact values until the final step and check signs, units and reasonableness.
03Exponential and logarithmic functions
Specification reference: CP 3
Exponential and logarithmic 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 Exponential and logarithmic functions requires. Keep exact values until the final step and check signs, units and reasonableness.
04More about polynomials
Specification reference: CP 4
More about polynomials 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 More about polynomials requires. Keep exact values until the final step and check signs, units and reasonableness.
05More about equations
Specification reference: CP 5
More about 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 More about equations requires. Keep exact values until the final step and check signs, units and reasonableness.
06Variations
Specification reference: CP 6
Variations 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 Variations requires. Keep exact values until the final step and check signs, units and reasonableness.
07Arithmetic and geometric sequences and their summations
Specification reference: CP 7
Arithmetic and geometric sequences and their summations 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 Arithmetic and geometric sequences and their summations requires. Keep exact values until the final step and check signs, units and reasonableness.
08Inequalities and linear programming
Specification reference: CP 8
Inequalities and linear programming 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 Inequalities and linear programming requires. Keep exact values until the final step and check signs, units and reasonableness.
09More about graphs of functions
Specification reference: CP 9
More about graphs 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 More about graphs of functions requires. Keep exact values until the final step and check signs, units and reasonableness.
10Equations of straight lines
Specification reference: CP 10
Equations of straight lines 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 Equations of straight lines requires. Keep exact values until the final step and check signs, units and reasonableness.
11Basic properties of circles
Specification reference: CP 11
Basic properties of 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 Basic properties of circles requires. Keep exact values until the final step and check signs, units and reasonableness.
12Loci
Specification reference: CP 12
Loci 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 Loci requires. Keep exact values until the final step and check signs, units and reasonableness.
13Equations of circles
Specification reference: CP 13
Equations of 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 Equations of circles requires. Keep exact values until the final step and check signs, units and reasonableness.
14More about trigonometry
Specification reference: CP 14
More about trigonometry 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 More about trigonometry requires. Keep exact values until the final step and check signs, units and reasonableness.
15Permutations and combinations
Specification reference: CP 15
Permutations and combinations 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 Permutations and combinations requires. Keep exact values until the final step and check signs, units and reasonableness.
16More about probability
Specification reference: CP 16
More about 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 More about probability requires. Keep exact values until the final step and check signs, units and reasonableness.
17Measures of dispersion
Specification reference: CP 17
Measures of dispersion 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 Measures of dispersion requires. Keep exact values until the final step and check signs, units and reasonableness.
18Uses and abuses of statistics
Specification reference: CP 18
Uses and abuses of 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 Uses and abuses of statistics requires. Keep exact values until the final step and check signs, units and reasonableness.
19Further applications of mathematics
Specification reference: CP 19
Further applications of mathematics 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 Further applications of mathematics requires. Keep exact values until the final step and check signs, units and reasonableness.
20Inquiry and investigation
Specification reference: CP 20
Inquiry and investigation 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 Inquiry and investigation requires. Keep exact values until the final step and check signs, units and reasonableness.
21Odd and even functions
Specification reference: M2 1
Odd and even 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 Odd and even functions requires. Keep exact values until the final step and check signs, units and reasonableness.
22Mathematical induction
Specification reference: M2 2
Mathematical induction 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 Mathematical induction requires. Keep exact values until the final step and check signs, units and reasonableness.
23The binomial theorem
Specification reference: M2 3
The binomial theorem 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 The binomial theorem requires. Keep exact values until the final step and check signs, units and reasonableness.
24More about trigonometric functions
Specification reference: M2 4
More about 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 More about trigonometric functions requires. Keep exact values until the final step and check signs, units and reasonableness.
25Introduction to e
Specification reference: M2 5
Introduction to e 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 Introduction to e requires. Keep exact values until the final step and check signs, units and reasonableness.
26Limits
Specification reference: M2 6
Limits 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 Limits requires. Keep exact values until the final step and check signs, units and reasonableness.
27Differentiation
Specification reference: M2 7
Differentiation 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 Differentiation requires. Keep exact values until the final step and check signs, units and reasonableness.
28Applications of differentiation
Specification reference: M2 8
Applications of differentiation 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 Applications of differentiation requires. Keep exact values until the final step and check signs, units and reasonableness.
29Indefinite integration
Specification reference: M2 9
Indefinite integration 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 Indefinite integration requires. Keep exact values until the final step and check signs, units and reasonableness.
30Definite integration
Specification reference: M2 10
Definite integration 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 Definite integration requires. Keep exact values until the final step and check signs, units and reasonableness.
31Applications of definite integration
Specification reference: M2 11
Applications of definite integration 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 Applications of definite integration requires. Keep exact values until the final step and check signs, units and reasonableness.
32Determinants
Specification reference: M2 12
Determinants 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 Determinants requires. Keep exact values until the final step and check signs, units and reasonableness.
33Matrices
Specification reference: M2 13
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.
34Systems of linear equations
Specification reference: M2 14
Systems of linear 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 Systems of linear equations requires. Keep exact values until the final step and check signs, units and reasonableness.
35Introduction to vectors
Specification reference: M2 15
Introduction to 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 Introduction to vectors requires. Keep exact values until the final step and check signs, units and reasonableness.
36Scalar product and vector product
Specification reference: M2 16
Scalar product and vector product 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 Scalar product and vector product requires. Keep exact values until the final step and check signs, units and reasonableness.
37Applications of vectors
Specification reference: M2 17
Applications of 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 Applications of vectors requires. Keep exact values until the final step and check signs, units and reasonableness.
38Inquiry and investigation
Specification reference: M2 18
Inquiry and investigation 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 Inquiry and investigation requires. Keep exact values until the final step and check signs, units and reasonableness.
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HKEAA M2 · HKDSE · Mathematics · EDB-SSM-2017-HKEAA-2026-2029
EDB curriculum and HKEAA 2026-2029 assessment frameworks
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 HKEAA M2 HKDSE Mathematics route cover?
LearningP currently maps 38 assessed areas for specification EDB-SSM-2017-HKEAA-2026-2029. 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 380 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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No. LearningP uses official specifications and assessment materials to map content and demand, while its practice questions and explanations are independently authored.
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Use the official HKEAA M2 specification and assessment-resource pages linked on this page, together with information supplied by the learner’s school.
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