2012 Edexcel Higher B Paper 2

8/12/2019 2012 Edexcel Higher B 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 the

quality 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 2 *hurchill 3aths 4imited Turn over

5ame *lass

MathematicsPaper 2B (Calculator)

i!her "ier

"ime # $ hour %& minutes

'or de cel C+

,ou must have#

(uler! protractor! compasses! pen! pencil! eraser! calculator.

Total 3arks


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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 = 43 r 3 Volume of cone = 13 r

2hSurface area of sphere = 4 r 2 Curved surface area of cone = rl

In an triangle ABC !he "uadratic E#uation

The solutions of ax 2 + bx + c = 0here a ! 0" are gi#en $%

x = b b2 4 ac

2 a

Sine $ule a

sin A =b

sin B =

csin C

Cosine $ule a 2 = b2 + c2 & 2bc cos A

Area of triangle =1

2 ab sin C

$01$ / aper $ age $ 2 *hurchill 3aths 4imited

sectioncross

l e n g t h 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.

(

Four gra'hs are sho n

hoose the correct gra'h in each 'art of this *uestion

(a) aterial is sol, for -1 .0 'er metre/hich gra'h coul, sho the cost (- y) of x metres of the material

)(*

ra'h

($) a#i, s 'hone has -. cre,it left/hich gra'h coul, sho the cre,it (- y) left x minutes after he calls a frien,

)(*

ra'h

(c) 5 car has 20 litres of 'etrol/hich gra'h sho s the #olume of 'etrol ( y litres) after - x of 'etrol is a,,e,

)(*

ra'h

)!otal for "uestion ( is + mar's*

$01$ / aper $ age " 2 *hurchill 3aths 4imited Turn over

x

y 6raph A

x

y 6raph

x

y 6raph 7

x

y 6raph *


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,- 5 sur#e% as6e, 'eo'le to rate the local 'a#ements as 78cellent" oo," 9oor or Terri$le

This 'ie chart sho s the results for a grou' of 1 a,ults ho ha, a 'ram or 'ushchair

5 secon, grou' consiste, of ;0 a,ults ho ,i, not ha#e a 'ram or 'ushchair


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)!otal for "uestion - is mar's*

+


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/

Scale0 (cm represents - 'm

The ma' sho s the 'osition of t o hillto's A an, B an, a to er C Hamnah s house is on a $earing of 0;3> from A an, on a $earing of 324> from B

(a) ar6 the 'osition of Hamnah s house on the ma'?a$el it H

)+*

($) Fin, the $earing of Hamnah s house from C )(*

>

(c) Fin, the ,istance of Hamnah s house from C )-*

6m

)!otal for "uestion / is 1 mar's*

$01$ / aper $ age 9 2 *hurchill 3aths 4imited

A

B

C

-


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(a) 7#aluate4(. @(;

2

:(1 0(@3

i#e %our ans er correct to 3 significant figures)+*

($) 7#aluate3 . 10 4 . 10 A

. 10 4

i#e %our ans er in stan,ar, form

)-*

)!otal for "uestion is mar's*

1 The e*uation x3 & 2 x = 30

has a solution $et een x = 3 an, x = 4

Bse trial an, im'ro#ement to fin, this solution correct to 1 ,ecimal 'lace


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2 Crian is in#estigating the cost of 'rescri'tionsHe as6s 10 a,ults their age an, ho man% 'rescri'tions the% got in the last %earThe scatter gra'h sho s his results

(a) Crian ,eci,es to ignore one of the 'oints on the scatter gra'h

ircle this 'oint an, suggest a reason for his ,ecision)(*

($) ra a line of $est fit on the scatter gra'h)(*

(c) /or6 out the gra,ient of %our line of $est fit)-*

)!otal for "uestion 2 is / mar's*

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5ge at last $irth,a% (%ears)0 10 3020 40 .0

Dum$er of

'rescri'tions

0

10

30

20

40

.0

;0


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30 cm30 cm

30 cm

3 5 com'an% is ,esigning an o'en to''e, 'lastic storage $o8

9ete suggests this ,esign

iagram 45!accuratel% ,ra n


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6 (a)


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(( 5 su'ermar6et claims that the mean time its customers *ueue for is un,er . minutes

?iam atches the *ueues one morning an, recor,s the information in this ta$le

Time in Gueue

(t minutes)

Dum$er of

ustomers

0 t I 2

2 t I 4 13

4 t I ; 21

; t I 1@

t I 10 @

(a) /or6 out an estimate for the mean time that customers ere in the *ueue )/*

minutes

?iam sho s his fin,ings to the store manager

J($)


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(- 5 car cost - ;00 hen it as ne

The car is no orth -3@;0

(a) /or6 out the current #alue of the car as a 'ercentage of its 'rice hen ne

)-*

K

The car s #alue has ,ecrease, $% 1.K in the last %ear

($) /or6 out the #alue of the car a %ear ago

i#e %our ans er correct to the nearest 'oun,)+*

-

)!otal for "uestion (- is mar's*

$01$ / aper $ age 1" 2 *hurchill 3aths 4imited Turn over


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(

5 com'uter screensa#er sho s coloure, circles gro ing an, multi'l%ing

The area co#ere, $% the circles increases $%1

. e#er% secon,

/hen the screensa#er starts" the circles co#er 4K of the screen/hat 'ercentage of the screen is co#ere, after 1. secon,s

K

)!otal for "uestion ( is + mar's*

$01$ / aper $ age 1: 2 *hurchill 3aths 4imited Turn over


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,(1 ar% s t%'ing s'ee, is .0 or,s 'er minute" correct to 1 significant figure

His manager as6s him to t%'e u' a re'ort that she nee,s in one hourThe re'ort contains 3300 or,s" correct to 2 significant figures

Ms it 'ossi$le that ar% ill t%'e u' the re'ort ithin one hourNou must sho %our or6ing

)!otal for "uestion (1 is mar's*

(2 There are x re, $ea,s in a $ag here x O 1Mn total there are 10 $ea,s in the $ag

Pne $ea, is 'ic6e, at ran,om from the $ag

(a) /rite ,o n an e8'ression for the 'ro$a$ilit% that the $ea, is re,)(*

The first $ea, 'ic6e, is re'lace,T o $ea,s are no 'ic6e, at ran,om from the $ag

($)


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(3

iagram 45!

accuratel% ,ra n

Fin, the siLe of the largest angle in triangle ABC

>

)!otal for "uestion (3 is / mar's*

$01$ / aper $ age 1; 2 *hurchill 3aths 4imited Turn over

12 cm cm

11 cm A

B

C


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(6 The histogram sho s information a$out the eight lost $% 'eo'le ta6ing 'art in a stu,%

1 'eo'le in the stu,% lost less than 10 6g

J (a) Ho man% 'eo'le in the stu,% lost more than 2. 6g)+*

.. 'eo'le in the stu,% lost more than


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,-7


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2012 Edexcel Higher B Paper 2

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Transcript of 2012 Edexcel Higher B Paper 2