2012 edexcel higher c paper 2

8/12/2019 2012 Edexcel Higher C Paper 2

1/20

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


2/20

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


3/20

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


4/20

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


5/20

< (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+



6/20

* 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


7/20

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+



8/20

- 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+


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


9/20

5555555555555555555555555555555555555

5555555555555555555555555555555555555

5555555555555555555555555555555555555

5555555555555555555555555555555555555

5555555555555555555555555555555555555

)!otal for "uestion - is / mar's+



10/20

/

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+


1

2

4

3

-

y

x&1

&4

&2

&3

&1

O&2 1 2 3 4&3&4

G


11/20

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+



12/20


13/20

(( (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

-


14/20


15/20

( 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+



16/20

(* 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+


40 .0-0 90 0 ;0

FreKuenc%

ensit%

eight (g)


17/20

(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+


4 cm

4 cm

cm


18/20


19/20

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+



20/20

(/

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

2012 edexcel higher c paper 2

Documents