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super high level mathematics quizzes (easy)

Authored by 石田光希 石田光希

Mathematics

12th Grade - University

Used 2+ times

super high level mathematics quizzes (easy)
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5 questions

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1.

FILL IN THE BLANK QUESTION

15 mins • 1 pt

2022より大きい4桁の3の倍数であって、各位に現れる数字が2種類であるものうち、最小のものを求めよ。(JMO 2022)

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

cos(π/10)を解にもつ方程式を選べ。

8x^3-6x-1=0

8x^3-6x+1=0

8x^3+6x-1=0

8x^3+6x+1=0

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Evaluate the following limit.

e^1

e^i

e^(-1)

e^(-i)

4.

FILL IN THE BLANK QUESTION

15 mins • 1 pt

1111の2018乗を、11111でわったあまりを求めよ。(JMO 2018)

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Evaluate the following integral.

 π^4/e

π^3/e^2

π^2/e^3

π/e^4

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