Mrjacksonmaths GCSE Foundation Calculator Paper D

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    Name

    For Edexcel

    GCSE MathematicsPaper 2D (Calculator)

    Foundation Tier

    Time: 1 hour and 30 minutes

    Materials required

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

    Instructions and Information for Candidates

    #rite !our name in the "o$ at the top o% the pae.&ns'er all the uestions in the spaces proided in this uestion paper.The mar*s %or each uestion and %or each part o% a uestion are sho'n in "rac*ets.The total num"er o% mar*s %or this paper is 100. There are 2+ uestions in this paper.Calculators may be used.% !our calculator does not hae a "utton, ta*e the alue o% to "e 3.1-2 unless theuestion instructs other'ise.

    Advice to Candidates

    ho' all staes in an! calculation.#or* steadil! throuh the paper. Do not spend too lon 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

    EF2D 0 !age " # $hurchill %aths &imited

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    b

    h

    a

    GCSE Mathematics

    /ormulae: /oundation Tier

    Area of a trapeium1

    2(a b)h

    !olume of a prism area o% cross section lenth

    EF2D 0 !age 2 # $hurchill %aths &imited

    sectioncross

    lenth

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    "0

    0. (a) tee "u!s the %ollo'in items %rom the "utcher.

    Item Cost

    & 7oint o% "ee% 89.

    & pac*et o% sausaes 81.20

    2 chic*ens 83.90 each

    #or* out ho' much he spends in total.

    8 5555555555,$-

    (") &nila "u!s 3 tops each costin 83.- and a hat costin 8-.;0he pa!s 'ith a 820 note.

    #or* out ho' much chane she should et.

    8 5555555555,0-

    ,Total 1 mar+s-

    EF2D 0 !age ( # $hurchill %aths &imited

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    "2

    2. (a) The %irst odd num"er is 1

    (i) #rite do'n the ne$t three odd num"ers.

    5555555555

    (ii) /ind the 20th odd num"er

    5555555555,$-

    (")

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    "1

    3erby

    45ford

    )or+

    &eeds

    +=

    1;2

    19

    ;

    2=

    10-

    "6

    1. >ic* lies in Der"!.

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    "7

    3;91 ab

    QP

    7. (a) #rite do'n the t!pe o% anle sho'n in each o% these diarams.

    (i)

    555555555555

    (ii)

    555555555555

    (iii)

    555555555555,0-

    (") Diaram (4Taccuratel! dra'n

    n the diaram, PQis a straiht line.

    (i) #or* out the siBe o% anle a.

    5555555555

    (ii) #or* out the siBe o% anle b.

    5555555555,$-

    ,Total 1 mar+s-

    EF2D 0 !age + # $hurchill %aths &imited

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    "8

    8. & spinner has ; eual sections, each 'ith a num"er 'ritten on.

    The arro' is spun.

    #rite do'n the pro"a"ilit! that the arro' lands on

    (a) the num"er 100,

    5555555555

    ,#-

    (") the num"er =0,

    5555555555,#-

    (c) the num"er 1,

    5555555555,#-

    (d) an odd num"er.

    5555555555,#-

    ,Total 2 mar+s-

    EF2D 0 !age , # $hurchill %aths &imited

    $9

    1

    #

    1

    #

    #99

    #

    #9

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    ":

    "#9

    :. 4se !our calculator to 'or* out the alue o%12. =.01

    2

    3.1+

    ie !our ans'er correct to 1 decimal place.

    5555555555

    ,Total $ mar+s-

    #9. (a) #rite do'n the %raction o% this shape that is shaded.

    5555555555,#-

    (") (i) hade2

    3o% this shape.

    (ii) hade1

    ;o% this shape.

    ,$-

    ,Total 0 mar+s-

    EF2D 0 !age # $hurchill %aths &imited

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    "##

    ##. The ta"le ies in%ormation a"out 0 peoples %aourite t!pe o% puBBle.

    ;ule Frequency

    #ord 3;

    Num"er 29

    oic 11

    6ther 1=

    Dra' an accurate pie chart to sho' this in%ormation.

    ,Total 2 mar+s-

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    "#$

    O

    E=

    =

    10

    1=

    y

    E2 E1 1 2 3 x

    #$. (a) 6n the rid, dra' the raph o% y 3x 2

    ,0-

    (") 4se !our raph to %ind the alue o% x'here the line crosses the xFa$is.

    x 5555555555,#-

    ,Total 2 mar+s-

    EF2D 0 !age "" # $hurchill %aths &imited

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    "#0

    "#2

    #0. -3= * o% coal is to "e diided in the ratio 2 : 3

    #or* out the 'eiht o% the smaller share.

    55555555 *

    ,Total $ mar+s-

    #2.

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    "#1

    #1.

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    "#6

    -3

    9

    2

    =

    1

    #6. (a) Ti"ah ma*es a dice usin this net.

    #rite do'n the num"er that 'ill "e opposite the 1 on this dice.

    5555555,#-

    (") #rite do'n the mathematical name o% the 3FD shape that can "e made usin each

    o% these nets.

    (i)

    55555555555555

    (ii)

    55555555555555,$-

    ,Total 0 mar+s-

    EF2D 0 !age "( # $hurchill %aths &imited

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    "#7

    N

    A

    #7. re oes %or a 'al*.

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    "#8

    10 cm

    ;0 cm

    #8. Diaram (4Taccuratel! dra'n

    /our identical pieces o% 'ood are 7oined toether as sho'n to ma*e a picture %rame.Gach piece o% 'ood measures ;0 cm "! 10 cm.

    & picture is to "e placed inside the %rame, %illin the shaded area on the diaram.

    (a) #or* out the perimeter o% the picture.

    5555555555 cm

    ,$-

    (") #or* out the area o% the picture.

    5555555555 cm2

    ,#-

    ,Total 0 mar+s-

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    "#:

    10 20 -030 =0

    =

    10

    20

    1=

    2=

    litres

    pints

    O

    30

    #:. The ta"le can "e used to conert pints into litres.

    Pints itres

    1 0.=+

    10 =.+

    =0 2;.=

    (a) 4se the ta"le to chane 11 pints into litres.

    5555555555 litres,#-

    (") 4se the in%ormation in the ta"le to dra' a raph to conert "et'een pints andlitres.

    ,$-

    (c) 4se !our raph to chane 2= litres into pints

    5555555555 pints,#-

    ,Total 2 mar+s-

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    "$9

    $9. To"! conducts a sure! a"out teleision prorammes on the internet.

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    "$#

    "$$

    $#. (a) ole 2x 3 -

    x 55555555,$-

    (") ole 3(y =) 21

    y 55555555,0-

    ,Total 1 mar+s-

    $$. Calculate ho' lon it ta*es to trael a distance o% 9 *m at a speed o% 0 *mKh.

    ie !our ans'er in minutes.

    555555555 minutes

    ,Total 0 mar+s-

    EF2D 0 !age " # $hurchill %aths &imited

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    "$0

    $0. Tim is inestiatin suare num"ers.

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    "$2

    "$1

    32 cm

    x

    2= cm

    $2. Diaram (4Taccuratel! dra'n

    The diaram sho's a rihtFanled trianle.

    #or* out the lenth x.ie !our ans'er to an appropriate deree o% accurac!.

    5555555555 cm

    ,Total 2 mar+s-

    $1. (a) impli%! %ull! 2rE 3sE 9r -s

    5555555555,$-

    (") /actorise %ull! 2p2E ;p

    5555555555,$-

    ,Total 2 mar+s-

    EF2D 0 !age 2" # $hurchill %aths &imited

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    "$6

    =.= cm

    1.= cm

    ;.= cm

    A

    C

    E

    B

    D$6. Diaram (4T

    accuratel! dra'n

    The diaram sho's a compan! identit! card.

    The card is rectanular in shape "ut one corner has "een rounded.AE ;.= cm.DE =.= cm.BCis a uarterFcircle o% radius 1.= cm.

    /ind the area o% the card.tate the units o% !our ans'er.

    5555555555

    ,Total 1 mar+s-

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    "$7

    $7. The ta"le sho's in%ormation a"out the 'eiht lost "! 120 men oer t'o months.

    #eiht lost (W*) /reuenc!

    0 WL - 29

    - WL ; -3

    ; WL 12 2=

    12 WL 19 1+

    19 WL 20

    #or* out an estimate %or the mean 'eiht lost "! the men.

    55555555 *

    ,Total 2 mar+s-

    T4TA& F4< ;A;E