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Key Facts: Mathematics Advanced Exam

Mathematics is offered at basic and advanced syllabus levels; this bank targets the advanced syllabus.

YTL mathematics maximum score is 120 points.

Each mathematics test day lasts six hours in Abitti.

Part A uses restricted calculator tools; Part B unlocks advanced tools after the candidate closes Part A.

Advanced structure (from YTL): 13 tasks, answer 10 (A:5 of 6; B1:3 of 4; B2:2 of 3), mostly 12-point tasks.

Basic structure (from YTL): 11 tasks, answer 9 (A:5 of 6; B:4 with a mix of 12- and 18-point tasks).

2026 per-test fees are €38 (spring) and €41 (autumn).

Drill Finland Ylioppilastutkinto mathematics advanced skills with 100 original English MCQs: functions, algebra, geometry, probability, modeling, and calculus ideas. Official exam is a 6-hour digital constructed-response paper (max 120 points).

Sample Mathematics Advanced Practice Questions

Try these sample questions to review concepts for the Mathematics Advanced exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Let f(x) = 3x^2 - 5x + 2. What is f(2)?
A.4
B.6
C.8
D.12
Explanation: Substitute x = 2: f(2) = 3(2)^2 - 5(2) + 2 = 3·4 - 10 + 2 = 12 - 10 + 2 = 4.
2The quadratic f(x) = x^2 - 6x + 5 has roots at:
A.x = 1 and x = 5
B.x = -1 and x = -5
C.x = 2 and x = 3
D.x = 0 and x = 6
Explanation: Factor x^2 - 6x + 5 = (x - 1)(x - 5). Setting each factor to zero gives roots x = 1 and x = 5. The quadratic formula with Δ = 36 - 20 = 16 yields the same roots: (6 ± 4)/2.
3What is the vertex of the parabola y = x^2 - 4x + 7?
A.(2, 3)
B.(2, 7)
C.(-2, 3)
D.(4, 7)
Explanation: For y = ax^2 + bx + c the vertex abscissa is x = -b/(2a) = 4/2 = 2. Then y = 2^2 - 4·2 + 7 = 4 - 8 + 7 = 3. Completing the square gives y = (x - 2)^2 + 3, confirming vertex (2, 3).
4The domain of f(x) = 1/(x - 3) is all real x except:
A.x = 3
B.x = 0
C.x = 1
D.x = -3
Explanation: A rational function is undefined where the denominator is zero. Solving x - 3 = 0 gives the excluded value x = 3. Every other real number is in the domain.
5Simplify (x^2 - 9)/(x - 3) for x ≠ 3.
A.x + 3
B.x - 3
C.x^2 - 3
D.9
Explanation: Difference of squares: x^2 - 9 = (x - 3)(x + 3). Cancelling the common factor (x - 3) for x ≠ 3 leaves x + 3.
6If f(x) = 2^x, what is f(3)?
A.8
B.6
C.9
D.4
Explanation: By definition of exponential powers, 2^3 = 2·2·2 = 8, so f(3) = 8.
7log_2(16) equals:
A.4
B.2
C.8
D.16
Explanation: log_2(16) is the exponent that produces 16 when the base is 2. Since 2^4 = 16, log_2(16) = 4.
8sin(π/6) equals:
A.1/2
B.√3/2
C.√2/2
D.1
Explanation: The standard special-angle value is sin(π/6) = sin(30°) = 1/2.
9cos(π/3) equals:
A.1/2
B.√3/2
C.0
D.√2/2
Explanation: The standard special-angle value is cos(π/3) = cos(60°) = 1/2.
10The range of f(x) = e^x is:
A.(0, ∞)
B.(-∞, ∞)
C.[0, ∞)
D.(-∞, 0)
Explanation: The exponential e^x is positive for every real x. As x → -∞, e^x → 0 but never reaches 0; as x → ∞, e^x → ∞. Therefore the range is the open interval (0, ∞).

About the Mathematics Advanced Exam

The Finnish Matriculation Examination mathematics advanced syllabus test is a national digital constructed-response exam organised by YTL. Maximum score is 120 points. Candidates may choose basic or advanced mathematics regardless of their upper-secondary study track. This OpenExamPrep bank is an English-language multiple-choice study adaptation with genuine calculation items; it does not replace official Abitti constructed-response practice.

Exam sponsor: Matriculation Examination Board (Ylioppilastutkintolautakunta, YTL). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Advanced syllabus: 13 tasks, candidate answers 10. Part A: 6×12 p, answer 5 (restricted tools). Part B1: 4×12 p, answer 3. Part B2: 3×12 p, answer 2 (full programmes). Maximum 120 points. (YTL Mathematics page.)

Time Limit

6 hours

Passing Score

Relative grades L (laudatur), E (eximia cum laude approbatur), M (magna cum laude approbatur), C (cum laude approbatur), B (lubenter approbatur), A (approbatur), or I (improbatur). Score-to-grade thresholds are set after each examination period by the Matriculation Examination Board; there is no fixed national percentage cut-score published in advance.

Exam / Certification Fees

€38 per test (spring 2026); €41 per test (autumn 2026). Fee for a request for administrative review: €56 (spring 2026) / €60 (autumn 2026). Candidates subject to extended compulsory education may take some tests free of charge. (Official YTL examination fees page.)

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

High

Numbers, algebra, and functions

Core symbolic manipulation and function reasoning.

High

Geometry and measurement

Figures, coordinates, trigonometry as required by level.

High

Probability and statistics

Chance models and data sense-making.

High in advanced; applied in basic

Calculus and applied modeling

Change, accumulation, and real-context models.

Preparing for the Mathematics Advanced Exam

What You Need to Know

  • Passing score: Relative grades L (laudatur), E (eximia cum laude approbatur), M (magna cum laude approbatur), C (cum laude approbatur), B (lubenter approbatur), A (approbatur), or I (improbatur). Score-to-grade thresholds are set after each examination period by the Matriculation Examination Board; there is no fixed national percentage cut-score published in advance.
  • Assessment: Advanced syllabus: 13 tasks, candidate answers 10. Part A: 6×12 p, answer 5 (restricted tools). Part B1: 4×12 p, answer 3. Part B2: 3×12 p, answer 2 (full programmes). Maximum 120 points. (YTL Mathematics page.)
  • Time limit: 6 hours
  • Exam / certification fees: €38 per test (spring 2026); €41 per test (autumn 2026). Fee for a request for administrative review: €56 (spring 2026) / €60 (autumn 2026). Candidates subject to extended compulsory education may take some tests free of charge. (Official YTL examination fees page.) Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Mathematics Advanced: Suggested Study Strategy

1Master Part A fundamentals without relying on CAS tools.
2Write full solution outlines even when practising MCQs so method marks become a habit.
3Balance pure calculation drills with modeling word problems.
4Review common error patterns: sign errors, domain mistakes, and probability condition confusions.
5Time mixed sets to build six-hour endurance and task selection judgment.
6After concept drills, complete official-style constructed responses under Abitti-like constraints.

Frequently Asked Questions

Can I take advanced mathematics without studying the advanced syllabus at school?

Yes. YTL states a candidate may choose which mathematics level to take regardless of general upper secondary studies.

What is the maximum score?

The digital mathematics tests have a maximum score of 120 points.

How is the advanced test structured?

Advanced syllabus: 13 tasks, candidate answers 10. Part A: 6×12 p, answer 5 (restricted tools). Part B1: 4×12 p, answer 3. Part B2: 3×12 p, answer 2 (full programmes). Maximum 120 points. (YTL Mathematics page.)

Are calculators allowed?

Part A restricts calculator programmes in the exam environment; after finishing Part A, candidates gain access to advanced calculator software for Part B.

What is the 2026 fee?

€38 per test in spring 2026 and €41 per test in autumn 2026.

Is this MCQ bank the official format?

No. Official tasks require written methods and justifications. These MCQs are a study aid for concepts and calculation fluency.