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Mathematics past exams

Read original questions and check official answers. Work through a full exam or choose a free edition for the way you want to study.

24 exams · 1,104 questions

Choose an exam
2022학년도 대학수학능력시험 수학 공통 1번 홀수형
2022학년도 대학수학능력시험 수학 공통 1번 홀수형
2022학년도 대학수학능력시험 수학 기하 28번 홀수형
2022학년도 대학수학능력시험 수학 기하 28번 홀수형

Study one real exam

Choose the common section and one elective. A complete sitting has 30 questions, 100 points and 100 minutes.

2021 academic year · April Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2021 academic year · July Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2021 academic year · October Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2022 academic year · April Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2022 academic year · July Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2022 academic year · March Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2022 academic year · October Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2023 academic year · April (held May 10) Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

2023 academic year · March Grade 12 national joint academic assessment · Mathematics

Common 22 + 8 per elective · Original Korean questions and official answers

Choose a source

Open a source to choose your edition. A includes concepts, examples and solutions; B includes tips and complete solutions; C includes questions and official answers.

Korea Institute for Curriculum and Evaluation6 editions

A · Concepts and solutions

Study layout · one column · 690 questions · 455 pages

A · Concepts and solutions

Exam layout · two columns · 690 questions · 242 pages

B · Questions, tips and solutions

Study layout · one column · 690 questions · 466 pages

B · Questions, tips and solutions

Exam layout · two columns · 690 questions · 253 pages

C · Questions only

Study layout · one column · 690 questions · 356 pages

C · Questions only

Exam layout · two columns · 690 questions · 143 pages

Gyeonggi Provincial Office of Education6 editions

A · Concepts and solutions

Study layout · one column · 138 questions · 109 pages

A · Concepts and solutions

Exam layout · two columns · 138 questions · 67 pages

B · Questions, tips and solutions

Study layout · one column · 138 questions · 101 pages

B · Questions, tips and solutions

Exam layout · two columns · 138 questions · 59 pages

C · Questions only

Study layout · one column · 138 questions · 76 pages

C · Questions only

Exam layout · two columns · 138 questions · 34 pages

Incheon Metropolitan Office of Education6 editions

A · Concepts and solutions

Study layout · one column · 92 questions · 91 pages

A · Concepts and solutions

Exam layout · two columns · 92 questions · 57 pages

B · Questions, tips and solutions

Study layout · one column · 92 questions · 77 pages

B · Questions, tips and solutions

Exam layout · two columns · 92 questions · 43 pages

C · Questions only

Study layout · one column · 92 questions · 59 pages

C · Questions only

Exam layout · two columns · 92 questions · 25 pages

Seoul Metropolitan Office of Education6 editions

A · Concepts and solutions

Study layout · one column · 184 questions · 139 pages

A · Concepts and solutions

Exam layout · two columns · 184 questions · 83 pages

B · Questions, tips and solutions

Study layout · one column · 184 questions · 129 pages

B · Questions, tips and solutions

Exam layout · two columns · 184 questions · 73 pages

C · Questions only

Study layout · one column · 184 questions · 95 pages

C · Questions only

Exam layout · two columns · 184 questions · 39 pages

Focus on one unit

Open the unit you want to practise. Every unit uses edition C, with questions and official answers.

Exponents and logarithms2 editions

C · Questions only

Study layout · one column · 95 questions · 40 pages

C · Questions only

Exam layout · two columns · 95 questions · 23 pages

Trigonometry and triangles2 editions

C · Questions only

Study layout · one column · 80 questions · 52 pages

C · Questions only

Exam layout · two columns · 80 questions · 26 pages

Sequences and recurrences2 editions

C · Questions only

Study layout · one column · 95 questions · 45 pages

C · Questions only

Exam layout · two columns · 95 questions · 23 pages

Limits and continuity2 editions

C · Questions only

Study layout · one column · 61 questions · 40 pages

C · Questions only

Exam layout · two columns · 61 questions · 24 pages

Derivatives and functions2 editions

C · Questions only

Study layout · one column · 93 questions · 36 pages

C · Questions only

Exam layout · two columns · 93 questions · 19 pages

Velocity, acceleration and motion2 editions

C · Questions only

Study layout · one column · 25 questions · 17 pages

C · Questions only

Exam layout · two columns · 25 questions · 14 pages

Definite integrals and area2 editions

C · Questions only

Study layout · one column · 72 questions · 37 pages

C · Questions only

Exam layout · two columns · 72 questions · 19 pages

Counting2 editions

C · Questions only

Study layout · one column · 97 questions · 42 pages

C · Questions only

Exam layout · two columns · 97 questions · 20 pages

Probability and conditional probability2 editions

C · Questions only

Study layout · one column · 53 questions · 34 pages

C · Questions only

Exam layout · two columns · 53 questions · 16 pages

Probability distributions and means2 editions

C · Questions only

Study layout · one column · 32 questions · 20 pages

C · Questions only

Exam layout · two columns · 32 questions · 12 pages

Sample means and estimation2 editions

C · Questions only

Study layout · one column · 10 questions · 9 pages

C · Questions only

Exam layout · two columns · 10 questions · 6 pages

Sequence limits and series2 editions

C · Questions only

Study layout · one column · 64 questions · 42 pages

C · Questions only

Exam layout · two columns · 64 questions · 25 pages

Differentiation methods2 editions

C · Questions only

Study layout · one column · 65 questions · 33 pages

C · Questions only

Exam layout · two columns · 65 questions · 18 pages

Substitution and integration by parts2 editions

C · Questions only

Study layout · one column · 30 questions · 19 pages

C · Questions only

Exam layout · two columns · 30 questions · 12 pages

Conic sections2 editions

C · Questions only

Study layout · one column · 97 questions · 68 pages

C · Questions only

Exam layout · two columns · 97 questions · 30 pages

Plane vectors2 editions

C · Questions only

Study layout · one column · 55 questions · 33 pages

C · Questions only

Exam layout · two columns · 55 questions · 17 pages

Spatial coordinates and projections2 editions

C · Questions only

Study layout · one column · 40 questions · 32 pages

C · Questions only

Exam layout · two columns · 40 questions · 18 pages

Equations and function graphs2 editions

C · Questions only

Study layout · one column · 15 questions · 12 pages

C · Questions only

Exam layout · two columns · 15 questions · 10 pages

Length and volume by integration2 editions

C · Questions only

Study layout · one column · 9 questions · 11 pages

C · Questions only

Exam layout · two columns · 9 questions · 8 pages

Trigonometric limits2 editions

C · Questions only

Study layout · one column · 16 questions · 16 pages

C · Questions only

Exam layout · two columns · 16 questions · 13 pages

Practise by difficulty

Choose Foundations, Connections or Advanced. These are Aldus editorial categories based on solution complexity, rather than measured candidate performance.

Foundations2 editions

C · Questions only

Study layout · one column · 471 questions · 146 pages

C · Questions only

Exam layout · two columns · 471 questions · 73 pages

Connections2 editions

C · Questions only

Study layout · one column · 395 questions · 242 pages

C · Questions only

Exam layout · two columns · 395 questions · 100 pages

Advanced2 editions

C · Questions only

Study layout · one column · 238 questions · 185 pages

C · Questions only

Exam layout · two columns · 238 questions · 82 pages

Sources and permission

The questions are used with permission, and copyright belongs to each examining institution. Aldus Libris edits these free learning editions and writes its own explanations. The editions do not imply institutional endorsement.

Each PDF lists its included exams on the copyright page. Questions, concept lessons and explanations are in Korean. The explanations are written with the help of AI tools, and answers are checked against official keys.