Ib Math Past Paper

M13/5/MATME/SP1/ENG/TZ1/XX

22137303

mathematics
STANDARD level
Paper 1

Candidate session number
0

0

Thursday 9 May 2013 (afternoon)

Examination code
2

1 hour 30 minutes

2

1

3

–

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 in the answer booklet provided. Fill in your session number on the front of the answer booklet, and attach it to this examination paper and your cover sheet using the tag provided.

Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.
 clean copy of the Mathematics SL information booklet is required for this paper.
A
 maximum mark for this examination paper is [90 marks].
The

11 pages
© International Baccalaureate Organization 2013

0112

–2–

M13/5/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. Working may be continued below the lines if necessary.
1.

[Maximum mark: 6]
 2
1
Consider the vectors a =   and b =   .
 −3 
 4

(a)

Find
(i)

2a + b ;

(ii)

2a + b .

[4 marks]

Let 2a + b + c = 0 , where 0 is the zero vector.
[2 marks]

(b) Find c .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . .