1 Name: Teacher: Unit 2 Maths Methods (CAS) Exam 2 2015 Thursday November 10 (2.00 pm) Reading time: 15 Minutes Writing time: 60 Minutes Instruction to candidates: Students are only permitted to bring into the examination room: pens, pencils, highlighters, erasers, sharpeners, rulers. No calculator or notes are allowed. Materials Supplied: 8 page question and answer booklet. Instructions: • Write your name and that of your teacher in the spaces provided. • Answer all short answer questions in this booklet where indicated. • Always show your full working where spaces are provided. Total exam /48
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2015 Unit 1 & 2 Exam 2 (non calculator)...2 Question 1 a) On the axes below, draw the graph of the line !=!+3 . (1 mark) b) On the axes below, draw the graph of the line 5!+6!=60 (2
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Transcript
1
Name:
Teacher:
Unit 2 Maths Methods (CAS) Exam 2 2015
Thursday November 10 (2.00 pm)
Reading time: 15 Minutes Writing time: 60 Minutes
Instruction to candidates: Students are only permitted to bring into the examination room: pens, pencils, highlighters, erasers, sharpeners, rulers. No calculator or notes are allowed. Materials Supplied: 8 page question and answer booklet. Instructions: • Write your name and that of your teacher in the spaces provided. • Answer all short answer questions in this booklet where indicated. • Always show your full working where spaces are provided.
Total exam
/48
2
Question 1
a) On the axes below, draw the graph of the line ! = !!! ! + 3 . (1 mark)
b) On the axes below, draw the graph of the line 5! + 6! = 60 (2 marks)
c) Use simultaneous equations to find the co-ordinates of the point of intersection of the two lines.
(2 marks)
x =
y =
3
Question 2
The quadratic function ! = 3!! − 6! − 45 describes a parabola. a) Fully factorise the quadratic function. (2 marks)
b) Find the two x intercepts and the y intercept of the parabola. (3 marks)
x =
x =
y =
4
Question 3 Use long division or otherwise to fully factorise the cubic function
! ! = !!! − 2!! − 13! − 10 . (4 marks)
Question 4 Solve each of the following equations for x. (4 marks)