For Examiner’s Use
Candidate Number
Surname
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Pages
General Certificate of Secondary Education
Higher Tier
June 2012
Mark
2– 3
4–5
6 –7
Mathematics (Linear)
43652H
10 – 11
Paper 2
Wednesday 13 June 2012
8 –9
H
9.00 am to 11.00 am
For this paper you must have:
12 – 13
14 – 15
l
a calculator
16 – 17
l
mathematical instruments.
18 – 19
20 – 21
22 – 23
Time allowed l 2 hours
TOTAL
Instructions
l Use black ink or black ball-point pen. Draw diagrams in pencil. l Fill in the boxes at the top of this page. l Answer all questions. l You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. l Do all rough work in this book.
Information
l The marks for questions are shown in brackets. l The maximum mark for this paper is 105. l The quality of your written communication is specifically assessed in Questions 3 and 10. These questions are indicated with an asterisk (*). l You may ask for more answer paper, tracing paper and graph paper. These must be tagged securely to this answer book.
Advice
l In all calculations, show clearly how you work out your answer.
(JUN1243652H01)
WMP/Jun12/43652H
43652H
2
Formulae Sheet: Higher Tier
a
1
Area of trapezium = –
(a + b)h
h
2
b
Volume of prism = area of cross-section × length
crosssection h lengt
r
4
Volume of sphere = – πr3 3
Surface area of sphere = 4 π r 2
1
Volume of cone = – πr2 h
3
l
h
Curved surface area of cone = π rl
r
In any triangle ABC
C
1
Area of triangle = 2 ab sin C
Sine rule
a sin A
=
b sin B
=
b
a
c sin C
A
c
B
Cosine rule a 2 = b 2 + c 2 – 2bc cos A
The Quadratic Equation
The solutions of ax 2 + bx + c = 0, where a ≠ 0, are given by
x=
(02)
– b ± √ (b2 – 4ac)
2a
WMP/Jun12/43652H
Do not write outside the box 3
Answer all questions in the spaces provided.
1
Andy thinks of a number.
He multiplies it by 4
He then subtracts 6
His