A Level · Mathematics
35+ A Level H2 Math Functions Practice Questions for 2026 (based on Singapore MOE Syllabus)
A Level H2 functions covers domain and range, composite and inverse functions, and graph transformations. This page has 35+ exam-style questions with full solutions for 2026 Singapore A Level.
35 free sample questions below — answers and step-by-step solutions included.
Free on Tutorly.sg
Want more Functions questions — with step-by-step help?
These 35 questions are a sample. On Tutorly.sg/app you can practise unlimited A Level Mathematics questions, get instant explanations after you try, and use past-year papers — no sign-up needed to start.
- ✓ Unlimited practice questions (not just 10)
- ✓ Step-by-step working when you are stuck
- ✓ Singapore syllabus: A Level
Opens tutorly.sg/app — same subject ready for you.
- Question 1easy
- Question 2easy
- Question 3medium
- Question 4hard
- Question 5hard
- Question 6easy
- Question 7easy
- Question 8medium
- Question 9hard
- Question 10hard
- Question 11easy
- Question 12easy
- Question 13medium
- Question 14hard
- Question 15hard
- Question 16easy
- Question 17easy
- Question 18medium
- Question 19hard
- Question 20hard
- Question 21easy
- Question 22easy
- Question 23medium
- Question 24hard
- Question 25hard
- Question 26easy
- Question 27easy
- Question 28medium
- Question 29hard
- Question 30hard
- Question 31easy
- Question 32easy
- Question 33medium
- Question 34hard
- Question 35hard
Frequently asked questions
- What function topics are tested in H2 Math?
- Domain and range, one-to-one functions, composite functions f ∘ g, inverse functions f⁻¹, and transformations of graphs (translations, stretches, reflections).
- How do I find the inverse of a function?
- Write y = f(x), swap x and y, solve for y, and state the domain of f⁻¹ (which equals the range of f). Verify by checking f(f⁻¹(x)) = x.
- What are common H2 functions mistakes?
- Wrong domain restrictions for composite functions, assuming f⁻¹ exists without checking one-to-one, and incorrect order in composite functions (f ∘ g means g first).
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Free on Tutorly.sg
Want more Functions questions — with step-by-step help?
These 35 questions are a sample. On Tutorly.sg/app you can practise unlimited A Level Mathematics questions, get instant explanations after you try, and use past-year papers — no sign-up needed to start.
- ✓ Unlimited practice questions (not just 10)
- ✓ Step-by-step working when you are stuck
- ✓ Singapore syllabus: A Level
Opens tutorly.sg/app — same subject ready for you.
Study this topic in depth
Notes, worked examples, common mistakes, and exam tips for Functions.
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