mrjacksonmaths gcse foundation non calculator paper c

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  • 8/13/2019 Mrjacksonmaths GCSE Foundation Non Calculator Paper C

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    Name

    For Edexcel

    GCSE MathematicsPaper 1C (Non-Calculator)

    Foundation Tier

    Time: 1 hour and 30 minutes

    Materials required

    Ruler, protractor, compasses,pen, pencil, eraser.Tracing paper ma !e used.

    Instructions and Information for Candidates

    "rite our name in the !o# at the top o$ the page.%ns&er all the 'uestions in the spaces proided in this 'uestion paper.The mars $or each 'uestion and $or each part o$ a 'uestion are sho&n in !racets.The total num!er o$ mars $or this paper is 100. There are *+ 'uestions in this paper.Calculators must not be used.

    Advice to Candidates

    ho& all stages in an calculation."or steadil through the paper. o not spend too long on one 'uestion.$ ou cannot ans&er a 'uestion, leae it and attempt the ne#t one.Return at the end to those ou hae le$t out.

    Written by Shaun Armstrong

    Only to be copied for use in the purchaser's school or college

    EF1C 0 !age 1 " Churchill #aths $imited

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    b

    h

    a

    GCSE Mathematics

    /ormulae: /oundation Tier

    Area of a trapezium1

    *(a b)h

    olume of a prism area o$ cross section length

    EF1C 0 !age % " Churchill #aths $imited

    sectioncross

    length

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    !"

    Ans#er A$$ T%E&T' SI( questions.

    %rite )our ans#ers in the spaces provided.

    'ou must #rite do#n all the sta*es in )our #or+in*.

    'ou must &,T use a calculator.

    ". (a) "rite the num!er si-t)one millionin $igures.

    444444444444/"0

    (!) "rite the num!er 305*0 in &ords.

    444444444444444444444444444444444

    444444444444444444444444444444444/"0

    (c) "rite the num!er 61+3

    (i) correct to the nearest ten,

    4444444444

    (ii) correct to the nearest hundred.

    4444444444/10

    /Total 2 mar+s0

    EF1C 0 !age & " Churchill #aths $imited

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    !1

    A

    C

    E

    B

    D

    F

    1.

    The diagram sho&s a si#-sided shape made $rom a s'uare and t&o e'uilateral triangles.

    (a) "rite do&n the mathematical name o$ a si#-sided shape.

    444444444444/"0

    (!) 7easure the length o$ the lineAB.tate the units &ith our ans&er.

    444444444444/10

    (c) (i) "hich line is parallel toAB8

    444444444

    (ii) "hich line is parallel toBC8

    444444444/10

    (d) 9o& man lines o$ smmetr does the shape hae8

    444444444/"0

    /Total 3 mar+s0

    EF1C 0 !age " Churchill #aths $imited

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    !4

    !2

    /raction

    .........

    .........

    ecimal

    0.*

    .........

    Percentage

    *6

    .........

    +

    .........

    4. Complete the ta!le !elo&.

    1

    ;

    /Total 5 mar+s0

    2. The cost, in pounds, $or a ne& su!scription to a maga

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    !5

    !3

    5. The stem and lea$ diagram sho&s the num!er o$ applicants $or each o$ *0 ?o!s.

    0 5 >

    1 0 * 3 + + + 5 > >

    * 1 3 6 + > @

    3 * ; 5

    Ae: * 1 represents *1 applicants

    (a) 9o& man ?o!s had 1+ applicants8

    44444444/"0

    (!) 9o& man ?o!s had more than *0 applicants8

    44444444/"0

    (c) "hat is the range o$ the num!er o$ applicants $or these ?o!s8

    44444444

    /"0

    /Total 4 mar+s0

    3. (a) "or out ; o$ 300.

    4444444444

    /10

    (!) "or out 6; as a percentage o$ @0.

    4444444444/10

    /Total 2 mar+s0

    EF1C 0 !age ) " Churchill #aths $imited

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    !6

    !7

    2eae

    lan

    6. "or out

    (a) 63; B 1@5

    44444444

    /"0

    (!) @@ *+

    44444444/10

    (c) 13 15 B 10 15

    44444444/10

    /Total 5 mar+s0

    7. Nicole ass each o$ the pupils in her class this 'uestion.

    9o& man $ilms hae ou &atched on teleision in the last &ee8D

    esign a suita!le data collection sheet that she could use to record their ans&ers.

    /Total 4 mar+s0

    EF1C 0 !age * " Churchill #aths $imited

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    !8

    8.

    (a) Re$lect the shaded rectangle in they-a#is.2a!el this image A.

    /10

    (!) Rotate the shaded rectangle 1>0a!out O.2a!el this image 9.

    /10

    /Total 2 mar+s0

    EF1C 0 !age + " Churchill #aths $imited

    1 * ;3 6 x

    y

    B* B1 +

    B3

    B*

    1

    *

    ;

    3

    6

    B1

    B6

    B;

    OB6 B; B3

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    !":

    6

    10

    *0

    16

    *6

    7a# ue Roer Roc am udd

    Percentageo$ otes

    0

    ":. Eie&ers o$ a childrenFs TE programme are ased to ote $or one o$ si# names $or thesho&Fs ne& pupp.

    The incomplete !ar chart sho&s the percentage o$ otes receied $or $ie o$ the names.

    (a) "hat percentage o$ the otes &ere $or the name ue8

    44444444 /"0

    (!) "hich t&o names receied the same percentage o$ the otes8

    444444444444 and 444444444444/"0

    (c) "or out the percentage o$ the otes receied $or the name udd.

    44444444 /40

    /Total 5 mar+s0

    EF1C 0 !age " Churchill #aths $imited

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    !""

    1 * ;3 6

    B1

    1

    3

    *

    ;

    6

    +

    B1 O x

    y

    5

    + 5

    "". Gn the grid, dra& the graph o$ y *xB 1

    /Total 2 mar+s0

    EF1C 0 !age 10 " Churchill #aths $imited

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    !"1

    A C

    B

    > cm

    + cm

    > cm

    A C

    "1. iagram &,Taccuratel dra&n

    The diagram sho&s a setch o$ an isosceles triangle,ABC.ABBC > cm.AC + cm.

    (a) 7ae an accurate dra&ing o$ triangleABC.The sideAChas !een dra&n $or ou.Hou must sho& all our construction lines.

    /10

    (!) 7easure the si

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    !"5

    6 cm

    ; cm

    + cm

    > cm

    !"3

    "5. iagram &,Taccuratel dra&n

    (a) Calculate the perimeter o$ the shape a!oe.

    44444444 cm/10

    (!) Calculate the area o$ the shape a!oe.

    44444444 cm*

    /10

    /Total 2 mar+s0

    "3. "or out 3;

    o$ *;.

    444444444

    /Total 1 mar+s0

    EF1C 0 !age 1& " Churchill #aths $imited

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    !"6

    !"7

    +6

    x

    y

    A

    E

    C

    D

    B

    "6. iagram &,Taccuratel dra&n

    n the diagram,ABDEis a parallelogram andBCDis an isosceles triangle.ABCis a straight line.

    (a) "or out the si

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    !"8

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    lan

    "8. The ta!le sho&s ho& man !oos *6 children read in the last &ee.

    Num!er o$ !oos Num!er o$ children

    0 10

    1 6* +

    3 3

    ; 1

    (a) /ind the median num!er o$ !oos read ! these children.

    44444444/"0

    (!) /ind the mean num!er o$ !oos read ! these children.

    44444444/40

    /Total 2 mar+s0

    EF1C 0 !age 1( " Churchill #aths $imited

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    !1:

    !1"

    1:. (a) impli$

    (i) m m m

    444444444

    (ii) 3n

    *n

    444444444/10

    (!) Kean and Aate collect Terrible Science!oos.

    Kean hasx!oos.Aate has 3 more !oos than Kean.

    (i) "rite do&n an e#pression $or the num!er o$ !oos Aate has.

    4444444444

    et&een them, Kean and Aate hae 16 Terrible Science!oos.

    (ii) /ind the alue o$x.

    x 4444444/40

    /Total 5 mar+s0

    1". tudents in Class P and Class L complete the same home&or.The t&o-&a ta!le sho&s in$ormation a!out the grades the students &ere gien.

    Complete the t&o-&a ta!le.

    /Total 4 mar+s0

    EF1C 0 !age 1) " Churchill #aths $imited

    Jrade % Jrade CJrade Total

    Total

    Class L

    Class P >

    *; *3

    5

    ; 30

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    !11

    11. iagram &,Taccuratel dra&n

    The diagram sho&s the net o$ a 3- shape.The net is made up o$ si# rectangles.

    The net is $olded to mae a 3- shape.

    (a) "rite do&n the mathematical name o$ the 3- shape.

    4444444444/"0

    (!) 7ar &ith a cross ( ) the t&o ertices &hich touch the erte# la!elled P./"0

    (c) "or out the olume o$ the 3- shape.

    44444444 cm3

    /10

    /Total 2 mar+s0

    EF1C 0 !age 1* " Churchill #aths $imited

    6 cm* cm

    + cm

    P

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    !14

    !12

    14. (a) (i) "rite do&n the alue o$ @*.

    444444444

    (ii) /ind the alue o$ *3 3*

    444444444/40

    (!) "rite as a po&er o$ >

    (i) >5 >*

    444444444

    (ii) >@ >;

    444444444/10

    /Total 5 mar+s0

    12. (a) oley

    6 10

    y 44444444

    /"0

    (!) G *a >

    /ind the alue o$ a&hen G @.

    a 44444444/10

    /Total 4 mar+s0

    EF1C 0 !age 1+ " Churchill #aths $imited

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    !13

    !15

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    15. 9ere are some e#pressions.

    a *c b * ab c* a(b c)

    *b3 c * ab(c *) *b(a* c* )

    a, band crepresent lengths.and * are num!ers &hich hae no dimensions.

    "rite do&n one o$ the e#pressions a!oe &hich could !e

    (a) a length,4444444444

    /"0

    (!) an area,4444444444

    /"0

    (c) a olume.4444444444

    /"0

    /Total 4 mar+s0

    13.

    % compan !us 1+ computer monitors $or =3;+;

    "or out the cost o$ each monitor.

    = 444444444

    /Total 4 mar+s0

    T,TA$ F,;