South Korea · Grade 11

Korea Grade 11 Maths free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper Korea Grade 11 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

2(3 + √5) × 2(1 − √5)의 값은? [2점]

A 4

B 8

C 10

D 16

E 32

Worked answer

Correct answer: D — 16

  • 밑이 같으므로 지수끼리 더합니다: (3 + √5) + (1 − √5).
  • √5 가 서로 소거되어 지수는 4 입니다.
  • 따라서 구하는 값은 24 = 16 입니다.
  • 다른 선택지가 틀린 이유:
  • A (4): 거듭제곱 대신 지수를 더한 값입니다.
  • B (8): 밑의 거듭제곱 하나를 빠뜨렸습니다.
  • C (10): 밑과 지수를 곱했습니다.
  • E (32): 밑의 거듭제곱 하나를 더했습니다.

밑이 같으면 곱셈은 지수의 합, 나눗셈은 지수의 차이며 (am)n = a(mn) 입니다.

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

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Questions about this sample

What is in the Korea Grade 11 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 11 Maths papers are there?

20 original papers for Grade 11 (고2) students in South Korea following the 2022 revised curriculum: Algebra and Calculus I (대수, 미적분Ⅰ). Each is 30 questions in 100 minutes on the 2022 revised Algebra and Calculus I courses (15 questions each; 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.