Math IB exam
M11/5/MATME/SP1/ENG/TZ1/XX
22117303
mathematics
STANDARD level
Paper 1
Candidate session number
0
0
Wednesday 4 May 2011 (afternoon)
Examination code
2
1 hour 30 minutes
2
1
1
–
7
3
0
3
instructions to candidates
Write your session number in the boxes above.
not open this examination paper until instructed to do so.
Do
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 must be given exactly or correct to three significant figures.
11 pages
© International Baccalaureate Organization 2011
0112
–2–
M11/5/MATME/SP1/ENG/TZ1/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.
1.
[Maximum mark: 5]
Let f ( x) = 7 − 2 x and g ( x) = x + 3 .
(a)
Find ( g f ) ( x) .
[2 marks]
[1 mark]
(b) Write down g −1 ( x) .
(c)
Find ( f g −1 ) (5) .
[2 marks]
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22117303
mathematics
STANDARD level
Paper 1
Candidate session number
0
0
Wednesday 4 May 2011 (afternoon)
Examination code
2
1 hour 30 minutes
2
1
1
–
7
3
0
3
instructions to candidates
Write your session number in the boxes above.
not open this examination paper until instructed to do so.
Do
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 must be given exactly or correct to three significant figures.
11 pages
© International Baccalaureate Organization 2011
0112
–2–
M11/5/MATME/SP1/ENG/TZ1/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.
1.
[Maximum mark: 5]
Let f ( x) = 7 − 2 x and g ( x) = x + 3 .
(a)
Find ( g f ) ( x) .
[2 marks]
[1 mark]
(b) Write down g −1 ( x) .
(c)
Find ( f g −1 ) (5) .
[2 marks]
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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