Maths Question Paper GCSE

8/13/2019 Maths Question Paper GCSE

1/16

Centre Number Candidate Number

Surname

Other Names

Candidate Signature

General Certificate of Secondary EducationHigher Tier

Mathematics

Unit 2 Higher Tier

Practice Paper Set 3 Specification 4360

Time allowed

1 hour 15 minutes

Instructions

Use black ink or black ball!oint !en" #ra$ diagrams in !encil"

%ill in the bo&es at the to! of this !age"

'ns$er all(uestions" )ou must ans$er the (uestions in the s!ace !ro*ided" #o not $rite outside the

bo& around each !age or on blank !ages"

#o all rough $ork in this book" Cross through any $ork that you do not $ant to

be marked"

Information

The marks for (uestions are sho$n in brackets"

The ma&imum mark for this !a!er is ++"

The (uality of your $ritten communication is s!ecifically assessed

in (uestions ,-a./ 0-b. and 11"

These (uestions are indicated $ith an asterisk -

. )ou may ask for more ans$er !a!er and gra!h !a!er"

These must be tagged securely to this ans$er booklet"

d!ice

n all calculations/ sho$ clearly ho$ you $ork out your ans$er"

22343+67H

43602H

H

Practice Paper Set 3"43602H

%or E&aminer8s Use

E&aminer8s nitials

2ages 9ark

3

5

+,

0:

1611

1713

1

TOT';

#or this paper $ou must ha!e%

mathematical instruments"

)ou may notuse a calculator"

)ou may use a calculator"


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There are no &uestions printed on this page

'( )(T *+IT, () THIS P-,)S*,+ I) TH, SP.,S P+(/I','


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3

1a The nth term of a se(uence is 166 < 3n"

1a 1i =ork out the first three terms"

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'ns$er ..... , .. , ..... (2 marks)

1a 1ii =ork out the first term of the se(uence that is negati*e"

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'ns$er ......................................................................... (2 marks)

1 Thenth term of a different se(uence is 7-3n> ."

' term in the se(uence is 16"

=ork out the *alue ofnfor this term"

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'ns$er ......................................................................... (4 marks)

Turn o!er for the net &uestion

5

'ns$er all(uestions in the s!aces !ro*ided"

#o not $riteoutside the

bo&


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2 Here is a reci!e forchilli con carne"

;eroy is the cook on a cam!ing tri!"

He is going to use the reci!e to make chilli con carne for 71 !eo!le"

=ork out ho$ many grams of tomatoes he needs"

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'ns$er ......................................................................... (3 marks)

3 a? 16/ b? 7 andc? < +

=ork out the *alue of4+

c

cab

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'ns$er ......................................................................... (3 marks)

Ser!es 6 people

1 kilogram of mince566 grams of tomatoes7 chillies

066 grams of kidney beansSalt and !e!!er


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5

4 Here are three e&!ressions"

7x> 5 3x< 0 x< 71

s there a *alue ofx that makes all the e&!ressions e(ual@

)oumustsho$ your $orking"

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'ns$er ............................................................................. (5 marks)



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Here is a mobile !hone tariff"

2lan A is a different mobile !hone tariff"

These gra!hs sho$ the cost/ in B/ for each of the !lans"


bo&

Plan

9onthly charge B36

%ree minutes of calls !er month 66

E&tra minutes charged at 76 !ence !er minute

9inutes of calls

Cost/ B

0 100 200 300 400 500 600 700 800 900

0

10

20

30

40

50

60

70

80

90

100

110

120

130

140

150

2lan '

2lan A


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,

1a Com!lete the mobile !hone tariff for 2lan A"

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-4 marks.

1 ;ouis is deciding $hether to use 2lan ' or 2lan A"

=ork out the number of minutes of calls for $hich 2lan A is chea!er"

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'ns$er ......................................................................... (2 marks)

6 pis a number"

17 is the highest common factor of 7 andp"

=ork out twodifferent !ossible *alues forp"

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'ns$er ...............................and .............................. (2 marks)


78 1a T$o banks calculate the yearly interest they !ay customers"

Plan 9

9onthly charge B6

%ree minutes of calls !er month

E&tra minutes charged at !ence !er minute

5


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Talia has B566 to in*est for one year"

=ork out $hich bank $ill !ay her more interest"

State ho$ much etrainterest she $ill earn"

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Aank.................................................

E&tra interest B................................................. -5 marks.

8 1 =ork out the in*estment that $ill earn the same yearly interest at the t$o banks"

..............................................

:ondon 9an;

D of the total that you in*est

%or e&am!le n*est B,66

nterest ? D of B,66

)ational 9an;

1D of the first B366 that you in*est

+D of amounts o*er B366 that you in*est

%or e&am!le n*est B,66

nterest ?1D of B366 > +D of B66


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:

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'ns$er B......................................................................... (3 marks)


5 1a nis an integer and < 7"5 nF 1

=rite do$n all the !ossible *alues ofn"

5


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..............................................

'ns$er ......................................................................... (1 mark)

75 1 Three ine(ualities identify the shaded region on this diagram"

=rite do$n the ine(ualities"

The first one has been done for you"

'ns$er xF 3

"........................................................................

"........................................................................

-2 marks.

< n a sale the !rice of a com!uter is decreased by 36D"

The !rice in the sale is B5+6"

y= 1 2x

y

y=x+ 1x= 3

x0


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11

=ork out the !rice before the sale"

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'ns$er B........................................................................ (3 marks)

0 1a %actorise fully 16c7> 0cd

..............................................

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'ns$er ......................................................................... (2 marks)

0 1 Sim!lify -7ab.3

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'ns$er ......................................................................... (2 marks)


The diagramsho$s a sketch of t$o straight lines"

0


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2ro*e that the lines $ill ne*er meet"

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'ns$er ............................................................................. (3 marks)

2 9akedthe subect of the formula c=d

dt .- 10

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'ns$er ............................................................................. (4 marks)

y

)ot drawnaccuratel$

x0

,

X

X

(4, 9)

(10, 3)


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3 1a Sho$ that3

1

0

27

3

is a recurring decimal"

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'ns$er ............................................................................. (3 marks)

3 1 =ork out 25

4

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'ns$er ............................................................................. (2 marks)

4 Here is a formula"

r= 22 xy

%ind the *alue ofr $heny=5 2 andx= 6

=rite your ans$er in the forma b $hereaandbare integers greater than 1"

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'ns$er ............................................................................. (3 marks)



bo&


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Sol*ethe simultaneous e(uations

y? 1 < 7x

y?x7< 3x< 5

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'ns$er ............................................................................. (6 marks)

,)' (# =U,STI()S


bo&

4

6


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Maths Question Paper GCSE