Please write clearly in block capitals.
Centre Candidate
number number
Surname
Forename(s)
Candidate ure
Level 2 Certificate
FURTHER MATHEMATICS
Paper 1 Non-Calculator
Friday 14 June 2019 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
For this paper you must have:
mathematical Pages Mark
instruments. You must not 3
use a calculator. 4−5
6−7
Instructions
Use black ink or black ball-point pen. Draw diagrams in pencil. 8−9
Fill in the boxes at the top of this page. 10−1
Answer all questions. 1
You must answer the questions in the spaces provided. Do 12−1
not write outside the box around each page or on blank 3
pages. 14−1
If you need extra space for your answer(s), use the lined pages at 5
the end of this book. Write the question number against your 16−1
answer(s). 7
Do all rough work in this book. Cross through any work you do not want 18−1
to be marked. 9
In all calculations, show clearly how you work out your answer. 20−2
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.
,*jun19 360101*
IB/M/Jun19/E8 8360/1
, 2
Do not write
outside the
Formulae Sheet box
Volume of sphere =
4
r
3
3
Surface area of sphere = 4r 2
Volume of cone = 1
r 2 h
3
Curved surface area of cone = r l
In any triangle ABC
Area of triangle = 1
ab sin C
2
Sine rule a b c
sin = sin = sin C
A B
Cosine rule a 2 = b 2 + c 2 – 2bc cos A
b2 c2 a2
cos A =
2bc
The Quadratic Equation
2
_ b (b2 _ 4ac)
The solutions of + bx + c = 0, where a 0, are given by x=
ax 2
a
Trigonometric Identities
tan θ sin
2 2
sin θ + cos θ 1
θ
cos
θ
*02
IB/M/
* Jun19/8360/1
, 3
Do not
write
Answer all questions in the spaces box the
outside
provided.
1 A straight line passes through the points ( −2, 11)
and (1, 2) Work out the equation of the line.
Give your answer in the form y = mx + c
[3 marks]
Answer
Turn over for the next question
3
*03
IB/M/
* Jun19/8360/1
Centre Candidate
number number
Surname
Forename(s)
Candidate ure
Level 2 Certificate
FURTHER MATHEMATICS
Paper 1 Non-Calculator
Friday 14 June 2019 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
For this paper you must have:
mathematical Pages Mark
instruments. You must not 3
use a calculator. 4−5
6−7
Instructions
Use black ink or black ball-point pen. Draw diagrams in pencil. 8−9
Fill in the boxes at the top of this page. 10−1
Answer all questions. 1
You must answer the questions in the spaces provided. Do 12−1
not write outside the box around each page or on blank 3
pages. 14−1
If you need extra space for your answer(s), use the lined pages at 5
the end of this book. Write the question number against your 16−1
answer(s). 7
Do all rough work in this book. Cross through any work you do not want 18−1
to be marked. 9
In all calculations, show clearly how you work out your answer. 20−2
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.
,*jun19 360101*
IB/M/Jun19/E8 8360/1
, 2
Do not write
outside the
Formulae Sheet box
Volume of sphere =
4
r
3
3
Surface area of sphere = 4r 2
Volume of cone = 1
r 2 h
3
Curved surface area of cone = r l
In any triangle ABC
Area of triangle = 1
ab sin C
2
Sine rule a b c
sin = sin = sin C
A B
Cosine rule a 2 = b 2 + c 2 – 2bc cos A
b2 c2 a2
cos A =
2bc
The Quadratic Equation
2
_ b (b2 _ 4ac)
The solutions of + bx + c = 0, where a 0, are given by x=
ax 2
a
Trigonometric Identities
tan θ sin
2 2
sin θ + cos θ 1
θ
cos
θ
*02
IB/M/
* Jun19/8360/1
, 3
Do not
write
Answer all questions in the spaces box the
outside
provided.
1 A straight line passes through the points ( −2, 11)
and (1, 2) Work out the equation of the line.
Give your answer in the form y = mx + c
[3 marks]
Answer
Turn over for the next question
3
*03
IB/M/
* Jun19/8360/1
