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2011 Examinationfor Japanese UniversityAdmission for International Students Mathematics 80min. ) Course 1( Basic ), Course 2( Advanced )】 Chooseoneof thesecoursesandanswer itsquestionsonly. Name Examinationregistrationnumber Once youare informedtostart 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. Instructionfor the QuestionBooklet 1.Donot openthis questionbooklet until instructed. 2.After beinginstructed,write your name andexaminationregistrationnumber inspace providedbelow,as printedonyour examinationvoucher. 3.Course1is onpages 1-13,andCourse 2 is onpages 15-27. 4.If your questionbooklet is missinganypages,raise your hand. 5.Youmaywrite notes andcalculations inthe questionbooklet. Instructionfor the Answer Sheet 1.Youmust markyour answers onthe answer sheet withanHB pencil. 2.Eachletter,,,…inthequestions represents anumeral(from 0to9) or theminussign(-).Completelyfill inyouranswerforeachletterinthe correspondingline of the answer sheet(mark-sheet). Note the following: ⑴Express square roots( )intheir simplest form. (Example:Substitute23for 12.) 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 3.Carefullyreadthe instructions onthe answer sheet,too. 11/2011 QuestionBooklet K © 2011 Japan Student Services Organization

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2011 Examination for Japanese University Admissionfor International Students

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

**

Name

Examinationregistrationnumber

※ Once you are informed 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.Instruction 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.Course1is 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.Instruction for the Answer Sheet

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(-).Completely fill in your answer for each letter in thecorresponding line of the answer sheet(mark-sheet).Note the following:

⑴Express square roots( )in their simplest form.(Example:Substitute23for 12.)

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

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

11/2011Question Booklet

K

© 2011 Japan Student Services Organization

© 2011 Japan Student Services Organization

© 2011 Japan Student Services Organization

Mathematics-1

© 2011 Japan Student Services Organization

Mathematics-2

© 2011 Japan Student Services Organization

Mathematics-3

© 2011 Japan Student Services Organization

Mathematics-4

© 2011 Japan Student Services Organization

Mathematics-5

© 2011 Japan Student Services Organization

Mathematics-6

© 2011 Japan Student Services Organization

Mathematics-7

© 2011 Japan Student Services Organization

Mathematics-8

© 2011 Japan Student Services Organization

Mathematics-9

© 2011 Japan Student Services Organization

Mathematics-10

© 2011 Japan Student Services Organization

Mathematics-11

© 2011 Japan Student Services Organization

Mathematics-12

© 2011 Japan Student Services Organization

Mathematics-13

© 2011 Japan Student Services Organization

Mathematics-14

© 2011 Japan Student Services Organization

Mathematics-15

© 2011 Japan Student Services Organization

Mathematics-16

© 2011 Japan Student Services Organization

Mathematics-17

© 2011 Japan Student Services Organization

Mathematics-18

© 2011 Japan Student Services Organization

Mathematics-19

© 2011 Japan Student Services Organization

Mathematics-20

© 2011 Japan Student Services Organization

Mathematics-21

© 2011 Japan Student Services Organization

Mathematics-22

© 2011 Japan Student Services Organization

Mathematics-23

© 2011 Japan Student Services Organization

Mathematics-24

© 2011 Japan Student Services Organization

Mathematics-25

© 2011 Japan Student Services Organization

Mathematics-26

© 2011 Japan Student Services Organization

Mathematics-27