MUFY semester 1 mathematics trial examination 2012
MATHEMATICS PART A MUF0091
TRIAL EXAMINATION 1/2012
Question and Answer Booklet
Reading Time: 15 minutes
Writing Time: 2 hours
Structure of the Examination
Number of Questions
Questions to be answered
Total raw marks in Examination
13
ALL
145
Materials Permitted
Directions to Candidates
Candidates are to fill in the following
Examiner Use Only
Question
1
2
3
4
5
6
7
8
9
10
11
12
13
Total
Mark
/8
/6
/13
/13
/6
/12
/13
/15
/14
/15
/16
/9
/5
/145
MONASH UNIVERSITY FOUNDATION YEAR MATHEMATICS PART A
REFERENCE FORMULAS
CALCULUS
Each horizontal straight line is perpendicular to each vertical straight line
Otherwise, two straight lines are perpendicular to each other if the product of their slopes is –1.
MEASUREMENT
Area of triangle
Area of circle
Area of trapezium
Curved surface area of a cylinder
Volume of rt. circular cylinder, height h
Volume of right circular cone, height h
Volume of sphere
Volume of right pyramid, base area A, height h
Question 1 [5 + 3 = 8 Marks]
Consider the function
(a) Find the derivative of the function, to the simplest form.
(b) Hence, show that the graph of the function has no stationary points.
Question 2 [4 + 2 = 6 Marks]
Find the following, to the simplest form:
(a)
(b)
Question 3 [7 + 6 = 13 Marks]
(a) Find and hence evaluate the exact value of
(b) Find and hence evaluate the exact value of
Question 4 [5 + 5 + 3 = 13 Marks]
(a) Given below is the graph of On the same axes, sketch the graph of .
(b) Given below is the graph of On the same
TRIAL EXAMINATION 1/2012
Question and Answer Booklet
Reading Time: 15 minutes
Writing Time: 2 hours
Structure of the Examination
Number of Questions
Questions to be answered
Total raw marks in Examination
13
ALL
145
Materials Permitted
Directions to Candidates
Candidates are to fill in the following
Examiner Use Only
Question
1
2
3
4
5
6
7
8
9
10
11
12
13
Total
Mark
/8
/6
/13
/13
/6
/12
/13
/15
/14
/15
/16
/9
/5
/145
MONASH UNIVERSITY FOUNDATION YEAR MATHEMATICS PART A
REFERENCE FORMULAS
CALCULUS
Each horizontal straight line is perpendicular to each vertical straight line
Otherwise, two straight lines are perpendicular to each other if the product of their slopes is –1.
MEASUREMENT
Area of triangle
Area of circle
Area of trapezium
Curved surface area of a cylinder
Volume of rt. circular cylinder, height h
Volume of right circular cone, height h
Volume of sphere
Volume of right pyramid, base area A, height h
Question 1 [5 + 3 = 8 Marks]
Consider the function
(a) Find the derivative of the function, to the simplest form.
(b) Hence, show that the graph of the function has no stationary points.
Question 2 [4 + 2 = 6 Marks]
Find the following, to the simplest form:
(a)
(b)
Question 3 [7 + 6 = 13 Marks]
(a) Find and hence evaluate the exact value of
(b) Find and hence evaluate the exact value of
Question 4 [5 + 5 + 3 = 13 Marks]
(a) Given below is the graph of On the same axes, sketch the graph of .
(b) Given below is the graph of On the same