Further Maths Past Paper Jun 2013

Past Paper questions from June 2013

HideShow resource information
  • Created by: SRB000
  • Created on: 03-05-16 16:51
Preview of Further Maths Past Paper Jun 2013

First 219 words of the document:

For Examiner's Use
Centre Number Candidate Number
Surname
Other Names
Examiner's Initials
Candidate Signature
Pages Mark
Level 2 Certificate in Further Mathematics 3
June 2013
4­5
6­7
Further Mathematics 8360/1 8­9
10 ­ 11
Level 2 12 ­ 13
Paper 1 Non-Calculator 14 ­ 15
Wednesday 19 June 2013 1.30 pm to 3.00 pm 16
TOTAL
For this paper you must have:
* mathematical instruments.
You may not use a calculator.
Time allowed
*
1 hour 30 minutes
Instructions
*
Use black ink or black ball-point pen. Draw diagrams in pencil.
*
Fill in the boxes at the top of this page.
*
Answer all questions.
*
You must answer the questions in the spaces provided. Do not write
outside the box around each page or on blank pages.
*
Do all rough work in this book. Cross through any work that you do
not want to be marked.
*
In all calculations, show clearly how you work out your answer.
Information
*
The marks for questions are shown in brackets.
*
The maximum mark for this paper is 70.
*
You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer book.
(JUN138360101)
P61254/Jun13/8360/1 6/6/6/ 8360/1

Other pages in this set

Page 2

Preview of page 2

Here's a taster:

Formulae Sheet
Volume of sphere ¼ 4 p r 3
3
Surface area of sphere ¼ 4p r 2
Volume of cone ¼ 1 p r 2 h
3
Curved surface area of cone ¼ p rl
In any triangle ABC
Area of triangle ¼ 1 ab sin C
2
a b c
Sine rule ¼ ¼
sin A sin B sin C
Cosine rule a 2 ¼ b 2 þ c 2 À 2bc cos A
b2 þ c2 À a2
Cosine rule cos…read more

Page 3

Preview of page 3

Here's a taster:

Do not write
outside the
3 box
Answer all questions in the spaces provided.
dy
1 A curve has gradient function ¼ 9 À x3
dx
1 (a) Work out the gradient of the curve when x ¼ À1
........................................................................................................................................
........................................................................................................................................
Answer.............................................................................. (2 marks)
1 (b) Work out the value of x where the rate of change of y with respect to x is 1 .
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Answer..............................................................................…read more

Page 4

Preview of page 4

Here's a taster:

Do not write
outside the
4 box
2 A is ðÀ4, 3Þ and B is ð2, 11Þ
AB is a diameter of the circle.
y
Not drawn
accurately
P
B
A
O x
2 (a) Work out the coordinates of the centre of the circle.
Centre ¼ ................ , ................…read more

Page 5

Preview of page 5

Here's a taster:

Do not write
outside the
5 box
2 (b) Work out the radius of the circle.
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Radius ¼ ....................................................... (2 marks)
2 (c) Write down the equation of the circle.
Answer ............................................................................. (1 mark)
2 (d) P is another point on the circle.
The gradient of the line AP is 2.
Write down the gradient of the line PB.
Answer..............................................................................…read more

Page 6

Preview of page 6

Here's a taster:

Do not write
outside the
6 box
3 ABC is a right-angled triangle.
P is a point on AB.
A
x Not drawn
accurately
P
4 cm
x
B C
BP ¼ 4 cm and tan x ¼ 2
3
3 (a) Work out the length of BC.
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Answer ...................................................................... cm (2 marks)
3 (b) Work out the length of AP.
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Answer ......................................................................…read more

Page 7

Preview of page 7

Here's a taster:

Do not write
outside the
7 box
pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
pffiffiffi ffi
4 Solve ð33 þ xÞ ¼ 6
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Answer x ¼ ............................................................. (3 marks)
5 (a) Show that ðx þ 7Þ2 À ðx À 3Þ2 simplifies to 20ðx þ 2Þ
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
(3 marks)
5 (b) Hence, or otherwise, work out 1072 À 972
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Answer..............................................................................…read more

Page 8

Preview of page 8

Here's a taster:

Do not write
outside the
8 box
6 Simplify ð3xy 5 Þ4
........................................................................................................................................
........................................................................................................................................
Answer.............................................................................. (2 marks)
7 Expand and simplify ðy 2 À 5y þ 2Þð2y À 3Þ
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
........................................................................................................................................
Answer..............................................................................…read more

Page 9

Preview of page 9

Here's a taster:

Do not write
outside the
9 box
8 A curve has equation y ¼ x 4 À 5x 2 þ 9
dy
8 (a) Work out
dx
dy
Answer ¼ ............................................................ (2 marks)
dx
8 (b) Work out the equation of the tangent to the curve at the point where x ¼ 2
Give your answer in the form y ¼ mx þ c
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
Answer..............................................................................…read more

Page 10

Preview of page 10

Here's a taster:

Do not write
outside the
10 box
9 Solve x 2 þ 6x þ 7 ¼ 0
pffiffiffi
Give your answer in the form a Æ b , where a and b are integers.
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
Answer.............................................................................. (4 marks)
a þ 2x
10 Make x the subject of the formula ¼n
aÀx
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
Answer..............................................................................…read more

Comments

No comments have yet been made

Similar Further Maths resources:

See all Further Maths resources »See all resources »