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100+ Free Korean CSAT Mathematics Practice Questions

Pass your Korean College Scholastic Ability Test (CSAT) Mathematics exam on the first try — instant access, no signup required.

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If f(x) = x^2 + 1, what is the instantaneous rate of change at x = 3?

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Key Facts: Korean CSAT Mathematics Exam

30

questions in the real CSAT Mathematics section

KICE 2026 CSAT Guideline

100 minutes

official real-exam time for Mathematics

KICE 2026 CSAT Guideline

100

original local practice questions on this page

Open Exam Prep local practice bank

3

selected-subject choices: Probability and Statistics, Calculus, Geometry

KICE 2026 CSAT Guideline

2, 3, 4 points

official mathematics item point values

KICE 2026 CSAT Guideline

37,000-47,000 KRW

2026 CSAT application fee range by number of areas selected

KICE 2026 CSAT Guideline

The real Korean CSAT Mathematics section has 30 questions in 100 minutes. KICE lists the scope as common Mathematics I and Mathematics II plus one selected subject from Probability and Statistics, Calculus, or Geometry. Ministry of Education materials describe the structure as about 75% common and 25% selected-subject content, with the math section including short-answer items. This local practice bank contains 100 original four-option questions for extra practice; it does not reproduce official released KICE questions.

Sample Korean CSAT Mathematics Practice Questions

Try these sample questions to test your Korean CSAT Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If f(x) = 2x - 5, what is f(7)?
A.9
B.11
C.12
D.14
Explanation: Substitute x = 7 into the function: f(7) = 2(7) - 5 = 14 - 5 = 9. A direct substitution question checks whether you keep the order of operations simple and exact.
2What are the real zeros of x^2 - 5x + 6?
A.1 and 6
B.2 and 3
C.-2 and -3
D.-1 and -6
Explanation: Factor the quadratic: x^2 - 5x + 6 = (x - 2)(x - 3). The zeros occur when each factor is 0, so x = 2 and x = 3.
3What is the value of log_2 32?
A.4
B.5
C.16
D.64
Explanation: log_2 32 asks for the exponent to which 2 must be raised to get 32. Since 2^5 = 32, log_2 32 = 5.
4For 0 <= theta <= pi, if sin theta = 1/2, which value can theta be?
A.pi/6
B.pi/4
C.pi/3
D.pi/2
Explanation: On the unit circle, sin(pi/6) = 1/2. Although sin(5pi/6) is also 1/2, it is not listed, so pi/6 is the matching option.
5An arithmetic sequence has first term 3 and common difference 4. What is the 6th term?
A.19
B.20
C.23
D.27
Explanation: The nth term is a_n = a_1 + (n - 1)d. Thus a_6 = 3 + 5(4) = 23.
6A geometric sequence has first term 2 and common ratio 3. What is the 4th term?
A.18
B.24
C.54
D.81
Explanation: For a geometric sequence, a_n = a_1 r^(n - 1). Therefore a_4 = 2 * 3^3 = 54.
7What is lim_{x -> 2} (x^2 + 3x)?
A.8
B.10
C.12
D.14
Explanation: Polynomials are continuous, so substitute x = 2 directly. The value is 2^2 + 3(2) = 4 + 6 = 10.
8If f(x) = x^3, what is f'(2)?
A.6
B.8
C.12
D.16
Explanation: Differentiate f(x) = x^3 to get f'(x) = 3x^2. Then f'(2) = 3(2^2) = 12.
9What is the value of integral from 0 to 2 of 3x^2 dx?
A.4
B.6
C.8
D.12
Explanation: An antiderivative of 3x^2 is x^3. Evaluating from 0 to 2 gives 2^3 - 0^3 = 8.
10A fair die is rolled once. What is the probability of rolling an even number?
A.1/6
B.1/3
C.1/2
D.2/3
Explanation: The even outcomes are 2, 4, and 6, giving 3 favorable outcomes out of 6 equally likely outcomes. Thus the probability is 3/6 = 1/2.

About the Korean CSAT Mathematics Exam

Korean CSAT Mathematics is the period-2 math section of the College Scholastic Ability Test administered by KICE for university admission in South Korea. The current structure uses a common-plus-selection model: all candidates who choose Mathematics answer common Mathematics I and Mathematics II content and one selected subject from Probability and Statistics, Calculus, or Geometry. The real section has 30 questions in 100 minutes, with item scores of 2, 3, or 4 points and official short-answer items; this page provides 100 original four-option practice questions aligned to those official skill areas.

Assessment

Local practice bank: 100 original four-option questions. Real CSAT Mathematics: 30 questions in period 2, 100 minutes, common Mathematics I/II plus one selected subject from Probability and Statistics, Calculus, or Geometry; the official section uses 2-, 3-, and 4-point items and includes short-answer items.

Time Limit

100 minutes for the real CSAT Mathematics section

Passing Score

No pass/fail cutoff; Mathematics is used for admission ranking and is reported by standard score, percentile, and grade

Exam Fee

No separate math-only fee; 2026 CSAT application fee is 37,000 KRW for 4 or fewer areas, 42,000 KRW for 5 areas, or 47,000 KRW for 6 areas selected (Korea Institute for Curriculum and Evaluation (KICE))

Korean CSAT Mathematics Exam Content Outline

Common section

Mathematics I

Exponential and logarithmic functions, trigonometric functions, sequences, finite sums, and series reasoning.

Common section

Mathematics II

Limits, continuity, derivatives, tangent lines, monotonicity, optimization, antiderivatives, definite integrals, and area or net-change reasoning.

Selected subject

Probability and Statistics

Counting, permutations, combinations, probability models, conditional probability, random variables, expected value, means, medians, and data interpretation.

Selected subject

Calculus

Additional limit, derivative, integral, graph behavior, and applied calculus practice beyond the common Mathematics II core.

Selected subject

Geometry

Coordinate geometry, circles, vectors, dot products, section formulas, triangle area, and spatial or geometric reasoning.

How to Pass the Korean CSAT Mathematics Exam

What You Need to Know

  • Passing score: No pass/fail cutoff; Mathematics is used for admission ranking and is reported by standard score, percentile, and grade
  • Assessment: Local practice bank: 100 original four-option questions. Real CSAT Mathematics: 30 questions in period 2, 100 minutes, common Mathematics I/II plus one selected subject from Probability and Statistics, Calculus, or Geometry; the official section uses 2-, 3-, and 4-point items and includes short-answer items.
  • Time limit: 100 minutes for the real CSAT Mathematics section
  • Exam fee: No separate math-only fee; 2026 CSAT application fee is 37,000 KRW for 4 or fewer areas, 42,000 KRW for 5 areas, or 47,000 KRW for 6 areas selected

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

Korean CSAT Mathematics Study Tips from Top Performers

1Practice common Mathematics I and II skills first because the official structure gives the common section the larger share of the math test.
2Choose one selected-subject track deliberately, then drill its distinctive question types: probability distributions, advanced calculus, or vectors and coordinate geometry.
3For calculus items, connect symbolic work to graph behavior: derivative sign, local extrema, net change, and area are frequent reasoning patterns.
4For probability and statistics, write the sample space or counting structure before calculating; many mistakes come from treating ordered and unordered choices the same.
5For geometry and vectors, translate diagrams into coordinates, distances, dot products, or ratios so the problem becomes algebraic.

Frequently Asked Questions

How many questions are in the real CSAT Mathematics section?

The real CSAT Mathematics section has 30 questions in 100 minutes. This local practice set intentionally contains 100 original questions for broader study coverage.

What are the CSAT Mathematics choice subjects?

Students who take Mathematics choose one of three selected subjects: Probability and Statistics, Calculus, or Geometry, alongside common Mathematics I and Mathematics II content.

Does this practice bank copy official KICE released questions?

No. The questions are original and aligned to official section skills and structure; official released question PDFs remain KICE copyrighted material.

Is the practice bank format identical to the real exam?

No. The real math section includes official 5-choice multiple-choice and short-answer items. This bank uses four-option multiple-choice questions because that is the local practice-bank format.

Is there a passing score for CSAT Mathematics?

No universal pass/fail cutoff is published. CSAT Mathematics is used for university admission ranking and score reporting rather than credential pass/fail status.