29
Name Examinationregistrationnumber Once youare instructedtostart the examination,fill inyour examination registrationnumber andname. Rules of Examination 1.Donot leave the room without proctor’s permission. 2.Donot take this questionbooklet out of the room. Instructions for the QuestionBooklet 1.Donot openthis questionbooklet until instructed. 2.After beinginstructed,write your name andexaminationregistrationnumber inspace providedbelow,as printedonyour examinationvoucher. 3.Course 1 is onpages 1-13,andCourse 2 is onpages 15-27. 4.If your questionbooklet is missinganypages,raise your hand. 5.Youmaywrite notes andcalculations inthe questionbooklet. Instructions for how toanswer the questions 1.Youmust markyour answers onthe answer sheet withanHB pencil. 2.Eachletter,,,…inthequestions represents anumeral(from 0to9) or the minus sign(-). When you mark your answers,fill in the oval completely for eachletter inthe correspondingrow of the answer sheet(mark-sheet). 3.Sometimes ananswer suchas or is usedlater inthe question.In suchacase,the symbol is shadedwhenit is usedlater,as or . Note the following: ⑴Reduce square roots( )as muchas possible. (Example:Express 32as42,not as28or32.) ⑵For fractions,attach the minus sign to the numerator,and reduce the fraction toits lowest terms. (Example:Substitute 1 3 for 2 6 .Alsosimplifyas follows: 2 6 -2 6 6 -6 3 .Thenapply -6 3 tothe answer.) ⑶If your answer to is -3 4 ,markas shownbelow. ⑷If the answer to is-,mark“-”for and“1”for as shown below. 0 1 2 3 4 5 6 7 8 9 0 1 2 4 5 6 7 8 9 0 1 2 3 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 2 3 4 5 6 7 8 9 4.Carefullyreadthe instructions onthe answer sheet,too. 2015 Examinationfor Japanese UniversityAdmission for International Students Mathematics (80 min. ) Course 1( Basic ), Course 2( Advanced )】 Chooseoneof thesecoursesandanswer itsquestionsonly. QuestionBooklet ⓒ 2015 Japan Student Services Organization

Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

  • Upload
    others

  • View
    25

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

**

Name

Examinationregistrationnumber

※ Once you are instructed to start the examination,fill in your examination registration number and name.

Rules of Examination

1.Do not leave the room without proctor’s permission.2.Do not take this question booklet out of the room.Instructions for the Question Booklet

1.Do not open this question booklet until instructed.2.After being instructed,write your name and examination registration numberin space provided below,as printed on your examination voucher.3.Course 1 is on pages 1-13,and Course 2 is on pages 15-27.4.If your question booklet is missing any pages,raise your hand.5.You may write notes and calculations in the question booklet.Instructions for how to answer the questions

1.You must mark your answers on the answer sheet with an HB pencil.2.Each letter , , ,… in the questions represents a numeral(from 0 to 9)

or the minus sign(-).When you mark your answers,fill in the oval completelyfor each letter in the corresponding row of the answer sheet(mark-sheet).3.Sometimes an answer such as or is used later in the question.Insuch a case,the symbol is shaded when it is used later,as or .Note the following:

⑴Reduce square roots( )as much as possible.(Example:Express 32as42,not as28or 32.)

⑵For fractions,attach the minus sign to the numerator,and reduce the fractionto its lowest terms.

(Example:Substitute13for

26.Also simplify as follows:

- 26=-266 =- 6

3 .Then apply- 63 to the answer.)

⑶If your answer to is- 34 ,mark as shown below.

⑷If the answer to is- ,mark“-”for and“1”for as shown below.

● 0 1 2 3 4 5 6 7 8 9

- 0 1 2 ● 4 5 6 7 8 9

- 0 1 2 3 ● 5 6 7 8 9

● 0 1 2 3 4 5 6 7 8 9

- 0 ● 2 3 4 5 6 7 8 9

4.Carefully read the instructions on the answer sheet,too.

2015 Examination for Japanese University Admission for International Students

Mathematics(80min.)【Course1(Basic),Course2(Advanced)】※ Choose one of these courses and answer its questions only.

11/2015Question Booklet

ⓒ 2015 Japan Student Services Organization

Page 2: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

ⓒ 2015 Japan Student Services Organization

Page 3: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-1

ⓒ 2015 Japan Student Services Organization

Page 4: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

C

Mathematics-2

ⓒ 2015 Japan Student Services Organization

Page 5: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-3

ⓒ 2015 Japan Student Services Organization

Page 6: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-4

ⓒ 2015 Japan Student Services Organization

Page 7: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-5

ⓒ 2015 Japan Student Services Organization

Page 8: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

C

E

H

Mathematics-6

ⓒ 2015 Japan Student Services Organization

Page 9: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-7

ⓒ 2015 Japan Student Services Organization

Page 10: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-8

ⓒ 2015 Japan Student Services Organization

Page 11: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-9

ⓒ 2015 Japan Student Services Organization

Page 12: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

G

Mathematics-10

ⓒ 2015 Japan Student Services Organization

Page 13: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-11

ⓒ 2015 Japan Student Services Organization

Page 14: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

O

Mathematics-12

ⓒ 2015 Japan Student Services Organization

Page 15: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-13

ⓒ 2015 Japan Student Services Organization

Page 16: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-14

ⓒ 2015 Japan Student Services Organization

Page 17: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-15

ⓒ 2015 Japan Student Services Organization

Page 18: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

C

Mathematics-16

ⓒ 2015 Japan Student Services Organization

Page 19: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-17

ⓒ 2015 Japan Student Services Organization

Page 20: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-18

ⓒ 2015 Japan Student Services Organization

Page 21: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-19

ⓒ 2015 Japan Student Services Organization

Page 22: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

G H

Mathematics-20

ⓒ 2015 Japan Student Services Organization

Page 23: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-21

ⓒ 2015 Japan Student Services Organization

Page 24: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

N

R R R

Mathematics-22

ⓒ 2015 Japan Student Services Organization

Page 25: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-23

ⓒ 2015 Japan Student Services Organization

Page 26: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-24

ⓒ 2015 Japan Student Services Organization

Page 27: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-25

ⓒ 2015 Japan Student Services Organization

Page 28: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-26

ⓒ 2015 Japan Student Services Organization

Page 29: Mathema tics(80min.) 【Course1(Basic),Course2(Advanced)】€¦ · 【Course1(Basic),Course2(Advanced)】 ※ Choose one of these courses and answer its questions only. 11/2015

Mathematics-27

ⓒ 2015 Japan Student Services Organization