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Student Number: …………………………….
.
2001
HIGHER SCHOOL CERTIFICATE
Sample Examination Paper
MATHEMATICS
Extension 1
General Instructions
Reading time  5 minutes
Working time  2 hours
•
Attempt ALL questions
•
Show all necessary working, marks
may be deducted for careless or
untidy work
•
Standard integrals are printed on the
last page
•
Boardapproved calculators may be
used
•
Additional Answer Booklets are available
Directions to School or College
To ensure maximum confidentiality and security, examination papers must NOT be removed from the examination room.
Examination papers may not be returned to students or used for revision purposes till September 2001. These examination
papers are supplied Copyright Free, as such the purchaser may photocopy and/or cut and paste same for educational purposes
within the confines of the school or college.
All care has been taken to ensure that this examination paper is error free and that it follows the style, format and material
content of the new Higher School Certificate syllabus. Candidates are advised that authors of this examination paper cannot in
any way guarantee that the 2001 HSC Examination will have a similar content or format.
C
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View Full DocumentMathematics Extension 1, HSC  2001
2
Question One
(a)
If
x
y
2
sin
1

=
, find
(i)
dx
dy
2
(ii)
2
2
dx
y
d
1
(b)
Use the definition
h
x
f
h
x
f
x
f
h
)
(
)
(
lim
)
(
'
0

+
=
→
to find the derivative of
x
x
+
3
2
2
(c)
Solve the equation
π
θ
2
0
for
0
cos
4
1
2
sin
2
≤
≤
=

+
3
(d)
How many arrangements of the letters of the word SUBSTITUTE are
possible?
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