Orders of Magnitude and Answer
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
MATHEMATICS Paper 3 (Core)
*058001*
0580/03 0581/03
May/June 2006 2 hours
w w w e tr .X m eP e ap .c rs om
Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Mathematical tables (optional) Tracing paper (optional)
Candidate Name
Centre Number
Candidate Number
READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN THE BARCODE. DO NOT WRITE IN THE GREY AREAS BETWEEN THE PAGES. Answer all questions. If working is needed for any question it must be shown below that question. The number of marks is given in brackets [ ] at the end of each question or part question.
For Examiner's Use
The total number of marks for this paper is 104. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Given answers in degrees to one decimal place. For π , use either your calculator value or 3.142. This document consists of 11 printed pages and 1 blank page.
IB06 06_0580_03/4RP UCLES 2006
[Turn over
2 1 y For Examiner's Use
6 B 4
2 T x 2 4 6 8 10
–6
–4
–2
0
–2 A –4
–6
The shapes T, A and B are drawn on the grid above. (a) In each case describe fully the single transformation which maps (i) T onto A,
Answer(a)(i) (ii) T onto B.
[3]
Answer(a)(ii) (b) Draw on the grid the rotation of T by 90° anticlockwise about (0,0). Label your answer R. (c) Draw on the grid the reflection of T in the line y = –2. Label your answer M.
[3]
[2]
[2]
© UCLES 2006
0580/03 0581/03 Jun 2006
3 2 A candle, made
MATHEMATICS Paper 3 (Core)
*058001*
0580/03 0581/03
May/June 2006 2 hours
w w w e tr .X m eP e ap .c rs om
Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Mathematical tables (optional) Tracing paper (optional)
Candidate Name
Centre Number
Candidate Number
READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN THE BARCODE. DO NOT WRITE IN THE GREY AREAS BETWEEN THE PAGES. Answer all questions. If working is needed for any question it must be shown below that question. The number of marks is given in brackets [ ] at the end of each question or part question.
For Examiner's Use
The total number of marks for this paper is 104. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Given answers in degrees to one decimal place. For π , use either your calculator value or 3.142. This document consists of 11 printed pages and 1 blank page.
IB06 06_0580_03/4RP UCLES 2006
[Turn over
2 1 y For Examiner's Use
6 B 4
2 T x 2 4 6 8 10
–6
–4
–2
0
–2 A –4
–6
The shapes T, A and B are drawn on the grid above. (a) In each case describe fully the single transformation which maps (i) T onto A,
Answer(a)(i) (ii) T onto B.
[3]
Answer(a)(ii) (b) Draw on the grid the rotation of T by 90° anticlockwise about (0,0). Label your answer R. (c) Draw on the grid the reflection of T in the line y = –2. Label your answer M.
[3]
[2]
[2]
© UCLES 2006
0580/03 0581/03 Jun 2006
3 2 A candle, made