2012 Edexcel Higher C Paper 2
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Transcript of 2012 Edexcel Higher C Paper 2
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8/12/2019 2012 Edexcel Higher C Paper 2
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Instructions and Information
Write your name in the box at the top of the page.
Answer all the questions in the spaces provided. The total mark for this paper is 100.
The marks for each question are shown in brackets. Calculators may be used.
f your calculator does not have a button! take the value of to be ".1#$ unless the question instructs otherwise.
%uestions labelled with an asterisk &*' are ones where thequality of your written communication will be assessed.
Advice
(ead each question carefully before you start to answer it.
)eep an eye on the time. Try to answer every question. *heck your answers if you have time at the end.
Written by +haun Armstrong
,nly to be copied for use in the purchaser-s school or college
$01$ /* aper $ age 1 *hurchill 2aths 3imited Turn over
4ame *lass
MathematicsPaper 2C (Calculator)
Hiher !ier
!ime " # hour $% minutes
&or 'decel C'
+ou must have"
(uler! protractor! compasses! pen! pencil! eraser! calculator.
Total 2arks
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GCSE Mathematics
Formulae: Higher Tier
You must not write on this formulae page.
Volume of prism= area of cross section length Area of trapezium=1
2(a+ b)h
Volume of sphere=4
3r3 Volume of cone=
1
3r2h
Surface area of sphere= 4r2 Curved surface area of cone= rl
In an triangle ABC !he "uadratic E#uation
The solutions of ax2+ bx+ c= 0here a! 0" are gi#en $%
x=
bb24 ac 2 a
Sine $ulea
sin A=
b
sinB=
c
sin C
Cosine $ule a2= b2+ c2& 2bccosA
Area of triangle=
1
2 absin C
$01$ /* aper $ age $ *hurchill 2aths 3imited
sectioncross
length b
h
a
r
l h
r
c B
C
A
b a
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Answer A%% #uestions.
&rite our answers in the spaces provided.
You must write down all stages in our wor'ing.
( 'ohsin is a ecoratorHe ecies to o some mar*eting to increase his income
He sens ,31- on rinting leaflets romoting his ser#icesHe then sens ,120 on ha#ing the leaflets eli#ere to local houses
'ohsin fins that his income is higher for 1. ee*s after the leaflets ere eli#ere/n a#erage" he mae an etra ,40 er ee*
as 'ohsins mar*eting a successho ho %ou ecie
555555555555
)!otal for "uestion ( is * mar's+
$01$ /* aper $ age " *hurchill 2aths 3imited Turn over
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6istance (*m)0 -0 1-0100 200 2-0
7#erage
see
(*m8h)
90
0
9-
-
;0
, 7 #an ri#er ma*es eli#eries to customers/ne ee*" she recors the istance she ri#es an her a#erage see for each eli#er%The scatter grah shos this information
(a) hat t%e of correlation oes this scatter grah sho)(+
555555555555
($) uggest a reason for this t%e of correlation)(+
55555555555555555555555555555555555
55555555555555555555555555555555555
(c) /n the scatter grah" ra a line of $est fit)(+
() or* out the graient of %our line of $est fit),+
555555555555
$01$ /* aper $ age # *hurchill 2aths 3imited
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< (e) lain hat %our graient reresents),+
55555555555555555555555555555555555
55555555555555555555555555555555555
)!otal for "uestion , is - mar's+
(a) imlif% y9y3
)(+
555555555555
($) an an simlif% -m(m& 2) & m(2m+ 3)),+
555555555555
(c) Factorise ; &p2
)(+
555555555555
() ol#e 3x2& 4 = 0),+
555555555555
(e) Factorise full% .a2+ 3ab),+
555555555555
)!otal for "uestion is / mar's+
$01$ /* aper $ age 5 *hurchill 2aths 3imited Turn over
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* 7 an > are fair -?sie sinnersach sie of the sinners is $lac*" gre% or hite
inner 7 inner >
>oth 7 an > are sun once
or* out the ro$a$ilit% of $oth sinners laning on the same colour
@ou can use this gri if %ou ant to
555555555555
)!otal for "uestion * is * mar's+
$01$ /* aper $ age 6 *hurchill 2aths 3imited
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01 Ha*eem an collect some con*ersThe ratio of the num$er of con*ers Ha*eem has to the num$er has is - : 4
Af Ha*eem ga#e 3 con*ers to the ratio oul $e 1 : 1
hat oul the ratio $e if ga#e 3 con*ers to Ha*eem
Bi#e %our anser in its simlest form
555555555555
)!otal for "uestion 1 is * mar's+
2 (a) ress 19. in the formp4 qherepan qare rime num$ers),+
555555555555
($) Fin the highest common factor (HCF) of 19. an 1;),+
555555555555
)!otal for "uestion 2 is * mar's+
$01$ /* aper $ age 7 *hurchill 2aths 3imited Turn over
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- 7 coman% uses to local courier firmsFor the t%e of eli#eries the coman% nees" these are the costs of the couriers
(a) ho thatFast Wheelsis ,1 cheaer for an item orth ,300)+
Duc% has to rite guielines as to hich courier is cheaer for items of ifferent #aluesu to ,-00
< ($) rite a short reort that Duc% coul useho ho %ou arri#e at the guielines@ou ma% use the grah aer on the net age
)1+
$01$ /* aper $ age 8 *hurchill 2aths 3imited
SA3E 4A56S
Cost er item
incluing insurance:
, + 2E of #alue of item
Fast Wheels
6eli#er%: ,4 er item
Ansurance: 3E of #alue of item
'inimum charge ,10 er item
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5555555555555555555555555555555555555
5555555555555555555555555555555555555
5555555555555555555555555555555555555
5555555555555555555555555555555555555
5555555555555555555555555555555555555
)!otal for "uestion - is / mar's+
$01$ /* aper $ age 9 *hurchill 2aths 3imited Turn over
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/
haes " G an are shon on the gri
(a) 6escri$e full% the single transformation that mas onto G),+
55555555555555555555555555555555555
55555555555555555555555555555555555
($) 6escri$e full% the single transformation that mas onto )+
55555555555555555555555555555555555
55555555555555555555555555555555555
(c) 7 single rotation can ma G onto
rite on the coorinates of the centre of this rotation)(+
(555" 555)
)!otal for "uestion / is 2 mar's+
$01$ /* aper $ age 10 *hurchill 2aths 3imited
1
2
4
3
-
y
x&1
&4
&2
&3
&1
O&2 1 2 3 4&3&4
G
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7 The ta$le shos the ro$a$ilit% of 0" 1" 2 or 3 or more uils $eing late for a lesson
Ium$er ofuils late
0 1 2 3 or more
ro$a$ilit% x 03 y 2x
's illis teaches 320 lessons in a term
(a) or* out an estimate for the num$er of her lessons in a term that ill ha#eeactl% 1 uil arri#e late
),+
555555555555
The ro$a$ilit% of at least 1 uil $eing late for a lesson is 0-
($) or* out the ro$a$ilit% of 2 uils $eing late for a lesson)+
555555555555
)!otal for "uestion 7 is 1 mar's+
$01$ /* aper $ age 11 *hurchill 2aths 3imited Turn over
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(( (a) /n the gri" ra the line y= 4 & 2x)+
($) /n the same gri" ra the line erenicular to y= 4 & 2x hich asses throughthe oint (&1" 0)
)(+
(c) Fin the eKuation of the line %ou ha#e ran in art ($)),+
555555555555
)!otal for "uestion (( is 2 mar's+
$01$ /* aper $ age 1" *hurchill 2aths 3imited Turn over
y
xO
1
2
4
1 2 3&2 &1
&1
3
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( hane is going to in#est ,-00He is consiering to otions an has to ecie hich is $est
9:!I95 (
3-E comoun interest er annum
9:!I95 ,
33E comoun interest er annum for to %ears41E comoun interest er annum from the start of the thir %ear
hich otion is $est if he in#ests for 3 %ears
Lustif% %our anser
555555555555
)!otal for "uestion ( is 1 mar's+
$01$ /* aper $ age 15 *hurchill 2aths 3imited Turn over
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(* The incomlete histogram shos information a$out the eight of some eggs
eight (wg) Ium$er of ggs
40 M wN .0
.0 M wN .4
.4 M wN . 19
. M wN 92 1.
92 M wN 0 1.
0 M wN ;0 9
(a) Jse this ta$le to comlete the histogram)+
($) Jse the histogram to comlete the ta$le),+
)!otal for "uestion (* is 1 mar's+
$01$ /* aper $ age 16 *hurchill 2aths 3imited
40 .0-0 90 0 ;0
FreKuenc%
ensit%
eight (g)
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(1
6iagram 59!
accuratel% ran
The iagram shos a turret for a moel castleThe turret is mae from a c%liner an a coneThe c%liner is cm high an has a iameter of 4 cmThe cone is 4 cm high an has a $ase ith a iameter of 4 cm
(a) or* out the #olume of the turret)*+
55555555555 cm3
The moel castle also has smaller turretsThese are mathematicall% similar to the one a$o#e $ut onl% half as tall
($) or* out the #olume of one of the smaller turrets),+
55555555555 cm3
)!otal for "uestion (1 is 2 mar's+
$01$ /* aper $ age 17 *hurchill 2aths 3imited Turn over
4 cm
4 cm
cm
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oute 555555555555 $% 555555555555 *m
)!otal for "uestion (2 is - mar's+
(- 7 satellite is 3. 104*m a$o#e the surface of the earth correct to 2 significant figures
The moon is 4 10-*m from the surface of the earth correct to 1 significant figure
or* out the least ossi$le istance $eteen the satellite an the moon
55555555555 *m
)!otal for "uestion (- is * mar's+
$01$ /* aper $ age 19 *hurchill 2aths 3imited Turn over
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(/
6iagram 59!accuratel% ran
7 sKuare rism measuresxcm $%xcm $% 12 cm7ngleABC= 21O
Calculate the #alue ofx
x= 55555555555
)!otal for "uestion (/ is 1 mar's+
!9!A% 39$ :A:E$ IS (88 MA$;S
12 cm21O
xcm
xcmA
C
B