South Korea · CSAT

CSAT Maths free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper CSAT Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

수직선 위를 움직이는 점 P 의 시각 t 에서의 속도가 v(t) = 3t² − 18t + 24 이고 t = 0 에서의

위치가 4 일 때, 시각 t = 5 에서의 점 P 의 위치는? [2점]

A −24

B 9

C 20

D 24

E 48

Worked answer

Correct answer: D — 24

  • 위치는 속도의 부정적분이므로 x(t) = t³ − 9t² + 24t + C 입니다.
  • x(0) = 4 이므로 C = 4 입니다.
  • x(5) = 24 입니다.
  • 다른 선택지가 틀린 이유:
  • A (−24): 부호를 잘못 처리했습니다.
  • B (9): 위치가 아니라 속도를 구했습니다.
  • C (20): 처음 위치를 더하지 않았습니다.
  • E (48): 결과를 2배로 했습니다.

위치 = (속도의 부정적분) + 처음 위치.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the CSAT Maths free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.

How many full CSAT Maths papers are there?

20 original papers for Students preparing for the Korean CSAT (Suneung) Mathematics section. Each is 30 questions in 100 minutes: 21 five-choice (A to E) and 9 short-answer, written in Korean, no calculator, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.