RAFFLES JUNIOR COLLEGE
JC2 Preliminary Examination 2007
MATHEMATICS
9740/01
Higher 2
Paper 1
12 September 2007
3 hours
Additional materials :
Answer Paper
List of Formulae (MF15)
READ THESE INSTRUCTIONS FIRST
Write your name and CT group on all the work you hand in.
Write in dark blue or black pen on both sides of the paper.
You may use a soft pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer
all
the questions.
Give nonexact numerical answers correct to 3 significant figures, or 1 decimal place in the case of
angles in degrees, unless a different level of accuracy is specified in the question.
You are expected to use a graphic calculator.
Unsupported answers from a graphic calculator are allowed unless a question specifically states
otherwise.
Where unsupported answers from a graphic calculator are not allowed in a question, you are
required to present the mathematical steps using mathematical notations and not calculator
commands.
You are reminded of the need for clear presentation in your answers.
The number of marks is given in brackets [ ] at the end of each question or part question.
At the end of the examination, fasten all your work securely together.
This document consists of
6
printed pages.
RAFFLES
JUNIOR
COLLEGE
RJC IES 2007
Math Department
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View Full DocumentRJC 2007
9740
/
01
/
S
/
07
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2
1
Find the set of values of
x
for which
2
e
80
1
x
x
x
.
Hence solve
2
e
1
x
x
x
.
[4]
2
Prove by induction that, for
n
Z
,
2
2
2
2
1
2
(
1)
(
2)
(
3)
... ( 1)
(1)
(
1) .
2
n
n
n
n
n
n
n
[5]
3
A sequence of negative numbers is defined by
1
23
4
n
n
n
x
x
x
, where
1
1
7
x
.
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 Summer '07
 MOE
 Math, Addition, Glass, Tetrahydrogestrinone, Hebe, graphic calculator, Raffles Junior College

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