Korea Grade 10 Maths free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper Korea Grade 10 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
다항식 x³ + x² − 5x − 5을 x − 2로 나눈 나머지는? [2점]
A −6
B −3
C −1
D 1
E 3
Correct answer: B — −3
- 나머지정리: 다항식 P(x)를 x − a로 나눈 나머지는 P(a)입니다.
- P(x) = x³ + x² − 5x − 5 이고 나누는 식이 x − 2 이므로 a = 2 입니다.
- P(2)를 계산하면 −3 입니다.
- 따라서 나머지는 −3 입니다.
- 다른 선택지가 틀린 이유:
- A (−6): 결과를 2배로 했습니다.
- C (−1): 정답과 비슷하지만 같지 않습니다. 마지막 계산 단계를 다시 확인해 보세요.
- D (1): 나누는 식의 부호를 잘못 읽어 P(−2)을 계산했습니다.
- E (3): 부호를 잘못 처리했습니다.
다항식 P(x)를 x − a로 나눈 나머지는 P(a)입니다.
Your sample is downloading. Liked it? Korea Grade 10 Maths Paper 1 is the full paper: 30 questions in 100 minutes on the 2022 revised Common Mathematics 1 and 2 courses (21 five-choice and 9 short-answer), written in Korean, no calculator, with a worked solution for every question.
Get Paper 1 for A$11.99See all 20 papers from A$11.99More free South Korea National Curriculum (Grades 10 to 12) samples
Questions about this sample
What is in the Korea Grade 10 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 Korea Grade 10 Maths papers are there?
20 original papers for Grade 10 (고1) students in South Korea following the 2022 revised curriculum: Common Mathematics 1 and 2 (공통수학1·2). Each is 30 questions in 100 minutes on the 2022 revised Common Mathematics 1 and 2 courses (21 five-choice 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.