2012 Mathematics Hl Paper 1 Tz2
M12/5/MATHL/HP1/ENG/TZ2/XX
22127205
mathematics
Higher level
Paper 1
Candidate session number
0
0
Thursday 3 May 2012 (afternoon)
Examination code
2
2 hours
2
1
2
–
7
2
0
5
instructions to candidates
Write your session number in the boxes above.
Do not open this examination paper until instructed to do so.
You are not permitted access to any calculator for this paper.
Section A: answer all questions in the boxes provided.
Section B: answer all questions on the answer sheets provided. Write your session number on each answer sheet, and attach them to this examination paper and your cover sheet using the tag provided.
At the end of the examination, indicate the number of sheets used in the appropriate box on your cover sheet.
Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.
A clean copy of the Mathematics HL and Further Mathematics SL information booklet is required for this paper.
The maximum mark for this examination paper is [120 marks].
17 pages
© International Baccalaureate Organization 2012
0120
–2–
M12/5/MATHL/HP1/ENG/TZ2/XX
Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working.
Section a
Answer all questions in the boxes provided. Working may be continued below the lines if necessary.
1.
[Maximum mark: 6]
The same remainder is found when 2 x3 + kx 2 + 6 x + 32 and x 4 − 6 x 2 − k 2 x + 9 are divided by x +1. Find the possible values of k .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
22127205
mathematics
Higher level
Paper 1
Candidate session number
0
0
Thursday 3 May 2012 (afternoon)
Examination code
2
2 hours
2
1
2
–
7
2
0
5
instructions to candidates
Write your session number in the boxes above.
Do not open this examination paper until instructed to do so.
You are not permitted access to any calculator for this paper.
Section A: answer all questions in the boxes provided.
Section B: answer all questions on the answer sheets provided. Write your session number on each answer sheet, and attach them to this examination paper and your cover sheet using the tag provided.
At the end of the examination, indicate the number of sheets used in the appropriate box on your cover sheet.
Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.
A clean copy of the Mathematics HL and Further Mathematics SL information booklet is required for this paper.
The maximum mark for this examination paper is [120 marks].
17 pages
© International Baccalaureate Organization 2012
0120
–2–
M12/5/MATHL/HP1/ENG/TZ2/XX
Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working.
Section a
Answer all questions in the boxes provided. Working may be continued below the lines if necessary.
1.
[Maximum mark: 6]
The same remainder is found when 2 x3 + kx 2 + 6 x + 32 and x 4 − 6 x 2 − k 2 x + 9 are divided by x +1. Find the possible values of k .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .