2012 Maths H Unit 3 - Mock Paper Mark Scheme

8/13/2019 2012 Maths H Unit 3 - Mock Paper Mark Scheme

1/16

Mark Scheme

Mock Paper

Modular Mathematics (GCSE)

Unit 3: 5MB3H!" (Hi#her)


2/16

Ede$cel is one o% the leadin# e$aminin# and a&ardin# 'odies in the U andthrou#hout the &orld *e pro+ide a &ide ran#e o% ,uali%ications includin#academic- +ocational- occupational and speci%ic pro#rammes %or emplo.ers

/hrou#h a net&ork o% U and o+erseas o%%ices- Ede$cel0s centres recei+e thesupport the. need to help them deli+er their education and trainin# pro#rammesto learners

1or %urther in%ormation- please call our GCE line on !2 54 !!65- our GCSE

team on !2 54 !!64- or +isit our &e'site at &&&ede$celcom

7% .ou ha+e an. su'8ect speci%ic ,uestions a'out the content o% this E$aminers0

9eport that re,uire the help o% a su'8ect specialist- .ou ma. %ind our Ask The

Expertemail ser+ice help%ul

sk /he E$pert can 'e accessed online at the %ollo&in# link:http:;;&&&ede$celcom;'outus;contact


3/16


4/16

NOTES ON MARKING PRINCIPLES

1 ll candidates must recei+e the same treatment E$aminers must mark the %irst candidate in e$actl. the same &a. as the. markthe last

2 Mark schemes should 'e applied positi+el. Candidates must 'e re&arded %or &hat the. ha+e sho&n the. can do rather thanpenalised %or omissions

3 ll the marks on the mark scheme are desi#ned to 'e a&arded E$aminers should al&a.s a&ard %ull marks i% deser+ed- ie i% theans&er matches the mark scheme E$aminers should also 'e prepared to a&ard ?ero marks i% the candidate0s response is not&orth. o% credit accordin# to the mark scheme

4 *here some 8ud#ement is re,uired- mark schemes &ill pro+ide the principles '. &hich marks &ill 'e a&arded and e$empli%icationma. 'e limited

5 Crossed out &ork should 'e marked U@>ESS the candidate has replaced it &ith an alternati+e response

6 Mark schemes &ill indicate &ithin the ta'le &here- and &hich strands o% A*C- are 'ein# assessed /he strands are as %ollo&s:

i) ensure that text is legible and that spelling, punctuation and grammar are accurate so that meaning is clearComprehension and meanin# is clear '. usin# correct notation and la'elin# con+entions

ii) selectand use a form and style of writing appropriate to purpose and to complex subject matter9easonin#- e$planation or ar#ument is correct and appropriatel. structured to con+e. mathematical reasonin#

iii) organise information clearly and coherently, using specialist vocabulary when appropriate /he mathematical methods and processes used are coherentl. and clearl. or#anised and the appropriate mathematical+oca'ular. used


5/16

7 Wth !"rk#$7% there is a &ron# ans&er indicated on the ans&er line al&a.s check the &orkin# in the 'od. o% the script (and on an. dia#rams)-and a&ard an. marks appropriate %rom the mark scheme7% &orkin# is crossed out and still le#i'le- then it should 'e #i+en an. appropriate marks- as lon# as it has not 'een replaced '.alternati+e &ork7% it is clear %rom the &orkin# that the correct ans&er has 'een o'tained %rom incorrect &orkin#- a&ard ! marks Send theresponse to re+ie&- and discuss each o% these situations &ith .our /eam >eader7% there is no ans&er on the ans&er line then check the &orkin# %or an o'+ious ans&ern. case o% suspected misread loses (and B) marks on that part- 'ut can #ain the M marks Discuss each o% these situations&ith .our /eam >eader7% there is a choice o% methods sho&n- then no marks should 'e a&arded- unless the ans&er on the ans&er line makes clear themethod that has 'een used

% &"''"! thr"($h )*rks1ollo& throu#h marks &hich in+ol+e a sin#le sta#e calculation can 'e a&arded &ithout &orkin# since .ou can check the ans&er.oursel%- 'ut i% am'i#uous do not a&ard1ollo& throu#h marks &hich in+ol+e more than one sta#e o% calculation can onl. 'e a&arded on si#ht o% the rele+ant &orkin#-e+en i% it appears o'+ious that there is onl. one &a. .ou could #et the ans&er #i+en

+ I$#"r#$ s(,se-(e#t !"rk7t is appropriate to i#nore su'se,uent &ork &hen the additional &ork does not chan#e the ans&er in a &a. that is inappropriate%or the ,uestion: e# incorrect cancelin# o% a %raction that &ould other&ise 'e correct7t is not appropriate to i#nore su'se,uent &ork &hen the additional &ork essentiall. makes the ans&er incorrect e# al#e'ra/ranscription errors occur &hen candidates present a correct ans&er in &orkin#- and &rite it incorrectl. on the ans&er line markthe correct ans&er

1. Pr",*,'t/Pro'a'ilit. ans&ers must 'e #i+en a %ractions- percenta#es or decimals 7% a candidate #i+es a decimal e,ui+alent to a pro'a'ilit.-this should 'e &ritten to at least 6 decimal places (unless tenths)7ncorrect notation should lose the accurac. marks- 'ut 'e a&arded an. implied method marks

7% a pro'a'ilit. ans&er is #i+en on the ans&er line usin# 'oth incorrect and correct notation- a&ard the marks7% a pro'a'ilit. %raction is #i+en then cancelled incorrectl.- i#nore the incorrectl. cancelled ans&er


6/16

11 L#e*r e-(*t"#s1ull marks can 'e #ained i% the solution alone is #i+en on the ans&er line- or other&ise unam'i#uousl. indicated in &orkin#(&ithout contradiction else&here) *here the correct solution onl. is sho&n su'stituted- 'ut not identi%ied as the solution- theaccurac. mark is lost 'ut an. method marks can 'e a&arded

12 P*rts "0 -(est"#sUnless allo&ed '. the mark scheme- the marks allocated to one part o% the ,uestion C@@F/ 'e a&arded in another

13 R*#$e "0 *#s!ersUnless other&ise stated- &hen an ans&er is #i+en as a ran#e (e# 35 6) then this is inclusi+e o% the end points (e# 35- 6)and includes all num'ers &ithin the ran#e (e# - ")

G(*#e "# the (se "0 "es !th# ths )*rk she)e

M" method mark" accurac. markB" *orkin# markC" communication markA*C ,ualit. o% &ritten communicationoe or e,ui+alentcao correct ans&er onl.%t %ollo& throu#hsc special casedep dependent (on a pre+ious mark or conclusion)indep independentis& i#nore su'se,uent &orkin#


7/16


8/16

5MB3H_01

Question Working Answer Mark Notes

1 (31.755) 7 44.45 2 M1 for 31.755 or 31.757 or (31.755) 7

A1 cao

2 1.62124 2 B2 for 1.62124

(B1 for 54.02 or 33.32 or50

2701or

25

833)

3 Medium 4 M1 for 3.6948 or1.7824 or1.1412M1 for 3.6948 and 1.7824 and1.1412

A1 for 0.076 and 0.074 and 0.095 or7.69 and 7.42 and

9.5

!1 for deci"ion "uor#ed $% &or'in

Alternative method

M1 for "i# of a common mu*#i*e of 12+ 24 and 48 (e. 48)

M1 for a##em# #o find co"# of "ame num$er of $i"cui#" foreac "i,e of ac'e#

(e. 13.69 and 21.78 and 41.14)

A1 for correc# rice(e. 3.69+ 3.56+ 4.56)

!1 for deci"ion "uor#ed $% &or'in

4 (a) 9 2 M1 for 7x- 74 35 or x- 4 357

A1 cao

($) -3+ -2+ -1+ 0+ 1+ 2+ 3 2 B2 for -3+ -2+ -1+ 0+ 1+ 2+ 3

(B1 for an% 5 correc# /a*ue" &i# no incorrec# /a*ue")

(c) x -7 2 M1 for 5x- 3x -11 - 3 or x -7A1 cao


9/16

5MB3H_01


5 (3655) 100 Ma#" 3 M1 for (3655) 100

A1 for 65.5!1 eci"ion &i# "uor#in &or'in

Alternative method

M1 for 3655 or 68100A1 for 0.654 and 0.68

!1 for deci"ion &i# "uor#in &or'in

Alternative methodM1 for 0.6855 oe

M1 for 37.4!1 eci"ion &i# "uor#in &or'in

6 !orrec# reion "aded 3 M1 for circ*e cen#re M+ radiu" 6 cm 2mm

M1 for circ*e cen#re + radiu" 7.5 cm 2mm

A1 for correc# reion "aded

7

3

2ba 2 M1 for 3t a2- $ ordi/ide a** #erm" $% 3

A1


10/16


11/16

5MB3H_01


10 x 6 432

x 7 637x 6.5 528(.125)

x 6.4 507(.904)

x 6.3 488(.187)

x 6.35 497(.98)

6.4 4 B2 for #ria* e/a*ua#ed u"in 6 : x: 7

(B1 for #ria* e/a*ua#ed u"in 6 ; x; 7)B1 for differen# #ria* e/a*ua#ed u"in

6.3 ; x; 6.4

B1 (de on a# *ea"# 2 re/iou" B1) for 6.4

11 (a)


12/16

5MB3H_01


14 1.68 104 2 B2 cao

(B1 for 16800 or 1.68 10n+ n@ 4)

15 x 4+ y -2 3 M1 for coefficien#" of xor y#e "ame fo**o&ed $% correc#oera#ion (condone one ari#me#ic error)

M1 (de) for "u$"#i#u#in found /a*ue in one eua#ion

A1 cao

16 (a) 840 0.2 oe or84 84

(168)840 168

1008 3 M1 for 840 0.2 oe or84 84 (168)

M1 for 840 168A1 cao

Alternative scheme

M2 for 1.2 840

A1 cao

($) 462 0.55 840 3 M1 for 0.55 or 100 - 45 or 55

M1 for 462 0.55 oe

A1 cao

17 h2 (92)2 92

h 25.2081

7.79 3 M1 for h2 (92)2 92

M1 for 25.2081

A1 7.79 - 7.795

Alternative method

M1 for "in 60 9

horco" 30

9

h

M1 for 9 "in 60 or9 co"30

A1 for 7.79 - 7.795


13/16

5MB3H_01


18 2160 2M1 for

3

6

18

or 33or27

A1 cao

19

52

754)3(3 2

1.52+ -0.921 3

M1 for52

754)3(3 2

acce# condone

incorrec# "in" for $ and c

M1 for 10

1493

A1 1.52-1.521 and -0.9206-0.921

20 108o 5 M1 for an*e ABD 54M1 for an*e DAB 180 - 254

A1 for 108

!2 for a** rea"on" i/en (a*#erna#e "emen# #eorem+ an*e" in

a #rian*e "um #o 180o+ $a"e an*e" in an i"o"ce*e" #rian*e+oo"i#e an*e" in a c%c*ic uadri*a#era* "um #o 180o)

(!1 for an% 2 or 3 correc# rea"on" i/en)

or

M1 for an*e ADO 36M1 for an*e DAO an*e BAO 36

A1 cao

!2 for a** rea"on" i/en (an*e $e#&een #anen# and radiu" i"

90o+ an*e" in a #rian*e "um #o 180o+ $a"e an*e" in an

i"o"ce*e" #rian*e+ oo"i#e an*e" in a c%c*ic uadri*a#era*"um #o 180o)

(!1 for an% 2 or 3 correc# rea"on" i/en)


14/16

5MB3H_01


21

92"in

134

55"in=

ST

55"in92"in

134=ST

(109.833)

for 134 109.8 "in(180 - 92 - 55)

4010 5M1 for

92"in

134

55"in=

ST

M1 for 55"in92"in

134=ST

A1 for 109.833

M1 for 134 109.8 "in(180 - 92 - 55)A1 for 4007 - 4010

Alternative method

(e# C $e oin# &ere erendicu*ar from Tmee#" SR)M1 for (TX ) 134"in55 (109.76)

M1 for D33"inD92"in

134 =SR (73.02..)

A1 for 73.02M1 for 109.7 73.02

A1 for 4007 - 4010

22 12x- 18 x2 2x 2x2 4x-3x- 6

x2- 13x 12 0

(x- 12)(x- 1) 0

12+ 1 5 M1 for mu*#i*%in #rou $% common denomina#or (x 2)(2x- 3)

M1 (de) for ei#er 12x- 18 x2 2xor2x2 4x- 3x- 6

A1 for x2- 13x 12 (0)

M1 for a correc# me#od #o "o*/e a 3 #erm uadra#icA1 cao for $o# "o*u#ion"


15/16

1urther copies o% this pu'lication are a+aila'le %rom

Ede$cel Pu'lications- dams&a.- Mans%ield- @otts- @G"2 1@

/elephone !"63 44

1a$ !"63 5!2"

Email pu'licationordersede$celcom

Frder Code UG!62"I June 6!""

1or more in%ormation on Ede$cel ,uali%ications- please +isit

&&&ede$celcom;,uals


16/16

Pearson Education >imited 9e#istered compan. num'er 246262&ith its re#istered o%%ice at Edin'ur#h Gate- Harlo&- Esse$ CM6! 6JE

Documents

2012 Maths H Unit 3 - Mock Paper Mark Scheme