3750-001 dec 2008 numeracy - stage 1.pdf

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  • 8/9/2019 3750-001 Dec 2008 Numeracy - Stage 1.pdf

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    City~

    Gu i l d s

    3750 001 DECEMB ER 2008

    Numeracy Stage 1

    Written

    Wednesday

    3 Dec em ber 2008

    09: 30 11 :30

    You should have the

    f ol lo wi ng f or t hi s ex am in at io n

    • a multiple-choice answer sheet

    • a pen with black or blue ink

    • a ruler

    • a protractor

    • a pair of compasses, a ruler

    • the use of a calculator is

    no t

    permitted

    This question paper is the property of the City and Guilds of London

    Institute and is to be returned after the examination.

    Read the following notes before you answer any questions

    • You must use a pen with black or blue ink to complete all parts of the answer sheet.

    • Check that you have the correct answer sheet for the examination.

    • Check that your name and candidate details are printed correctly at the top of your answer sheet.

    • Inform the invigilator if your name or examination details are not correct.

    • Each question shows four possible answers (lettered  a ,  b ,  c and d ); only on e is correct.

    • Decide which on e is correct and mark your answer on the an sw er s heet with your pen.

    For example if you decide  a   is correct, mark your answer like this

    G

    -

    ®

    @ @

     1

    I Cancel I I Cancel I I Cancel I ~

    If you want to change your answer, cancel your first choice by filling in the  cancel 

    box below the circle like this

    G

    e®@ @

    1 1

    -~~~

    Then mark the answer which you have now decided is correct. For example if you

    now decide c is correct, mark your answer like this

    Any other marks on the form may invalidate some of your answers .

    • Any calculations or rough working can be done on the question paper .

    • Attempt all questions. If you find a question difficult, leave it and return to it later.

    Th is pap er co ntain s 60 qu esti on s. Answ er t hem u sin g t he bo xes n umb er ed

    1 to 60 on the answer sheet.

    ©

    The C it y and Guilds o f Londo n Institut e 200 8 .

     

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    SOME HISTORICAL EVENTS

    A

    B

    C

    o

    1940

    1666

    1215

    1588

    Battle of Britain

    Great Fire of London

    Magna Carta

    Spanish Armada

    Refer to Figure 1. The earliest event was

    Figure 1

    a A

    b B

    c C

    d 0

    800 m et res Res ul ts

    Time

    2 min 20 see

    2 min 19 sec

    2 min 24 see

    2 min 30 see

    Brown

    Patel

    Wong

    Jones

    2 Refer to Figure 2. The fastest time was

    Figure 2

    a 2 min 20 sec

    b 2 min 19 see

    c 2 min 24 sec

    d 2 min 30 see

    Fig u re

    3 Figure 3 shows a bracelet of beads.

    How many beads are there in the bracelet?

    a 15

    b 16

    c 17

    d 18

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    • •

     

    •••

    • • •

    • • •

    • • •

    • •

    9

    • •

    Figu re 4

    4 In Figure 4 how many dots need to be

    added to the last set of dots to make the

    next square number?

    a

    4

    b 7

    c 8

    d 16

    1, 3, 5, 7,

    Figu re 5

    5 Refer to Figure 5. The next two numbers in

    the sequence should be

    a 8,9

    b 8,10

    c

    9,10

    d 9, 11

    6 The symbol   stands for

    1

    a

    4

    b 4

    c 9

    d 36

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    12 *=6

    7 The symbol * stands for the number

    1

    a

    2

    b 2

    c

    6

    d 72

    8 The cost of the shopping is twenty pounds

    and five pence. Write this amount in

    figures.

    a £12.05

    b £12.50

    c

    £20.05

    d £20.50

    9 A cheque is written for three hundred and

    eight pounds. What is this in figures?

    a

    £3008

    b £380

    c

    £308

    d £38

    10

    6.25 is the same as

    a

    6

     

    5

    b

    6

     

    4

    c

    63.

    5

    d

    6~

    2

     469252

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    11

    3.75 is the same as

    3

    a

    3-

    5

    5

    b

    3-

    7

    3

    c

    3-

    4

    7

    d

    3-

    5

    12 Which one of the following radios costs

    nearest to £70?

    ~~

    a~c~

    £79 95 £69 95

    b~d~

    £7 95 £6 95

    13 An adult s height is usually measured in

    a

    em

    b

    mm

    c

    Ib

    d m

    0469252

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    Figure 6

    14 Refer to Figure 6. The temperature in °C of

    boiling water is

    a 100°C

    b 98.4°C

    c

    3rC

    d O°C

    15 How many millilitres are there in a litre?

    a 10

    b 100

    c 1000

    d 1 000 000

    16 Which one of the following lengths is the

    smallest?

    a

    1 inch

    b

    1

    2   metre

    c 2 centimetres

    d 10 millimetres

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    U

    -<

     -

    r

    0

    po

    -<

    m

    U

    HIGH STREET

    CARFAX QUEEN STREET

    0

    ~ U

    U-

    :D

    CAAPAAK

    COVERED

    A

    l

    MARKET

     fJ

    -I

    : :D

    m

    ~

    MARKET SmEET

    SHIP STREET

    ST MICHAB.:S STREET

    Figure 7

    17 Refer to Figure 7. A person starts at

    Carfax. To go along High Street the person

    would walk

    a North

    b South

    c East

    d West

     469252

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    Figure 8

    18 Refer to Figure 8. In which direction is

    Crawley from East Grinstead?

    a North

    b South

    c East

    d West

     469252

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     p ce for rough work

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    Broadgate Ice

    BRITAIN S ONLY OPEN-

    AIR ICE RINK

    Opening Times:

    11.00 15.00

    11.00 15.00

    16.00 20.00

    11.00 14.00

    15.00 18.00

    MON(TUES

    WED·FRI

    s  

    SATSUN

    s  

    Figure 9

    19 Refer to Figure 9. How long is the ice rink

    open on Tuesday?

    a

    3

    hours

    b 4

    hours

    C

    5

    hours

    d

    8

    hours

    20

    In the Imperial system, an adult s weight

    (mass) is usually measured in

    a

    st

    b g

    c Ib

    d

    kg

    Figure 10

    21 Refer to Figure 10. I estimate the mass of

    one potato. Which one of the following

    could be a correct estimate?

    a 1 g

    b

    10

    g

    c 100

    g

    d 1

    kg

     469252

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    NUMBER OF HOURS OF SUNSHINE DURING ONE WEEK

    o  @  :

     

    .~ ,8:

    .~. -l :::/

    W

    /f

    ·\   ,,'

    : c  - . .  8 .

    . . ~

    ...

    ~.

     ,,  I I

    ,  

    CoI.-

    .~

    h-i.

    - \ .   : : : I • .

    »

    @

    u_

     

    ,, 

    t

    ,@, -

    v-

      ,I 

    , ~o

    -8 ,-

      ,

    :@'~':

    .

    ,

     / ,

    ,

    ,

    :@ .~

     

    ,

    ,,I

      @  :

    ,

    ,

     /

    /

     @  

    v .

    < f I 

    \ r • •

     r ;\

    \W,

    .,.,\ 

    ~@ :

     J  

    @ /.

    ...

      v ...

      , I 

    MON TUE WED THU FRI SAT SUN

    Figure 11

    22 Refer to Figure 11. There was the most

    sunshine on

    a Monday

    b Tuesday

    c Saturday

    d Sunday

    CRYSTAL WEST LONDON

    PALACE ~ NORWOOD ~ BRIDGE

    0536

    0606

    0636

    0706

    0727

    0735

    0541

    0611

    0641

    07 11

    0732

    0741

    Figure 12

    0558

    0628

    0658

    0728

    0749

    0757

    23 Refer to Figure 12. The

    07

    06 train from

    Crystal Palace is due at London Bridge at

    a 07 11

    b 0727

    c

    0728

    d 0735

    0469252

    \

     

    . @:

    =1 hour of sunshine

    .

    ,

      I

    10

    Space for rough work

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    Hi gh Ti des

    London Bridge

    Dover

    Liverpool

    .Avonrnouth

    Hull

    Greenock

    Leith

    Dun Laoghaire

    Space for rough work

    Time

    0201

    11 27

    11 36

    0730

    0645

    0646

    0253

    11 50

    1425

    2346

    2358

    1955

    1850

    1230

    1509

    Figur e 13

    24 Refer to Figure 13. The morning high tide

    in Hull is at

    a

    0645

    b 0646

    c 0730

    d 1850

    Figu re 14

    25 Figure 14 shows part of the A684 road in

    the Yorkshire Dales. The numbers give the

    distance between the towns. The distance

    from Sedburgh to Bedale is

    a 26 miles

    b 33 miles

    c 36 miles

    d 43 miles

     4 69252

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    PA UL s WEEK LY HA nl S HA RK S

    1

    80

    ~ 6

    0::

    «i 

    L

    20

    o

    1 2 3 ~ 5

    WEEKS

    /

    ~

    ./

    Figure 15

    26 Refer to Figure 15. Paul s mark for week 4

    was

    a

    40

    b 60

    c

    80

    d 100

    27 A student pays a postal order into his bank

    account. How will this be shown on their

    next bank statement?

    a As a standing order

    b As a debit

    c As a credit

    d As a direct debit

     469252

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    12

    I

    I

    1

    i

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    A

    B L

    >C

    Fi gur e 16

    28 Refer to Figure 16. Using J as the centre,

    draw a circle of radius 2.5 cm. The circle

    a crosses the line AB but does not cross

    the lines BC or AC

    b crosses the line AC but does not cross

    the lines AB or BC

    c crosses the lines AB, AC and BC

    d crosses the lines AB and AC but does

    not cross BC

     58

    Fig ur e 17

    29 Which of the numbers in Figure 17 has a

    line of symmetry?

    a

     

    b 3

    c

    5

    d 8

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    4m

    Figure 18

    :: 0 The per imeter of the rectangle i n Figure 18

    is

    a 6m

    b 8m

    c 12 m

    d 24 m

    5em

    10 em

    Figure 19

    31 The perimeter of the rectangular card

    shown in Figure 19 is

    a 15cm

    b 30 cm

    c 50 cm

    d 100 cm

    32 Which of the following is no t a tessellation

    of the shape that has been shaded?

    a  if

    c f fl

    b~ d~

     469252

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    E

    If

    Figure 2

    33 The floor of the living room shown in

    Figure 20 is to be covered with carpet.

    The area of the carpet is

    a 6 m2

    b 11

    m2

    c

    22 m2

    d 30 m 2

     

    Figure 21

     

    34 Four students were asked to find the area of

    the square shown in Figure 21. Which one

    of their answers is correct?

    a 8m

    b 8

    m2

    c

    16

    m

    d 16 m2

    35 A square floor covering has sides of length

    3 metres. What is its area?

    a 3 square metres

    b 6 square metres

    c 9 square metres

    d 12 square metres

     469252

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    Space for rough work

    36 Which one of the following is the net of a

    cuboid?

    a

    b ~----4--.

    c

    d

    Fi gu re 22

    37 Figure 22 shows a box filled with one layer

    of 1 inch cubes. What is the volume filled

    by the cubes?

    a 13 square inches

    b 13 cubic inches

    c 42 square inches

    d 42 cubic inches

    0469252

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    \.

    ~.

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    Figu re 23

    38 Refer to Figure 23. The value of the coins

    is

    a

    4p

    b 67p

    c 80p

    d 130p

    39 A bus leaves a bus station with 5 people on

    board. At the first stop 7 people board the

    bus and no-one gets off. At the second

    stop 15 board the bus and no-one gets off.

    The number of people on the bus after the

    second stop is

    a 12

    b 20

    c 22

    d 27

    8   5 =

    5 + 3 =

    5

    +

    8

    =

    Total

    =

    X

    40 In the above calculation, the total at X is

    a

    32

    b 34

    c

    36

    d 39

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    Space for rough work

    41 A customer pays a bill for £ 16 with a £20

    note. How much change does he receive?

    a

    £4

    b £6

    c

    £14

    d £36

    42· 31 -

    7

    is

    a 24

    b

    26

    c

    34

    d 36

    Figure 24

    43

    Refer to Figure 24. The cost of a box of

    135 chews is

    a

    £6.55

    b

    £6.75

    c £6.80

    d £7.02

    44

    6

    x

    3=

    a

    9

    b

    15

    c

    18

    d 21

    45 How many 20p coins make £1?

    a

    2

    b

    5

    c

    10

    d

    100

     469 252

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    46 A prize of £5000 is equally shared between

    two people. Each person receives

    a

    £25

    b £250

    c

    £2000

    d

    £2500

    Sale

    Price

    I £13.99

    Figur e 25

    47 Refer to Figure 25. The price of the Filter

    Coffee Maker is normally

    a

    £5.99

    b £14.07

    c

    £21.99

    d

    £93.99

    DEVELOPING AND PRINTING 499

    EXTRA SET 2.49

    TOTAL

    48 Refer to Figure 26. The total should be

    Fi gu re 26

    a

    £6.11

    b £6.38

    c

    £7.21

    d £7.48

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    - - - - - - - - - - - - - - - - - - - - - - - - -

    r

    (,

    I

    v

    pace for rough work

    HOTPOINT

    Electronic

    1 00 0 p lu s

    £3 9 9

    HOOVER

    E le ct ro n

    x c l u s i v e

    £299 95

    Fi gu re 27

    49 Refer to Figure 27. The Hoover is cheaper

    than the Hotpoint by

    a

    £190.05

    b £110.05

    c £10.05

    d £9.95

      R D S

    N W S P P R S

    TOTAL

    7 32

    Figu re 28

    50 Figure 28 shows a torn receipt. How much

    did the cards cost?

    a £3.93

    b £3.97

    c

    £4.03

    d £4.07

    51 A jar of coffee contains 3.5 oz. 10 of these

    jars w i l l contain

    a 30.50z

    b

    350z

    c 3050z

    d 3500z

     469 5 

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    52 Electricity costs 5p per unit. How much

    would 100 units cost?

    a £0.50

    b £5

    c £50

    d £500

    53 7   coach tickets of equal v lu cost £59.50.

    The cost of 1 ticket is

    a

    £0.85

    b

    £7.15

    c £8.05

    d £8.50

    54 A jar of coffee costs £5.07. The cost is

    shared equally between three people.

    How much does each person pay?

    a

    £1.69

    b £1.63

    c £1.39

    d £1.09

    55 A baby weighs 3 ~ kg at birth. In the first

    2

    two months 2 kg is gained. What is the

    4

    baby s weight after the first two months?

    1

    a

    - kg

    4

    b

    1

    3- kg

    4

    3

    c

    3- kg

    4

    d

    4 kg

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    56 A farmer grows only cereals and grass on

    his farm.   of the land is used to grow

    grass. What fraction is used to grow

    cereals?

    a

    b

    3

    4

    c

    1

    2

    d

    1

    4

    57 Half of a 3 m length of wood is used to

    make a shelf. What is the length of the

    shelf?

    1

    a

    -m

    2

    1

    b

    1- m

    2

    1

    c

    2- m

    2

    1

    d 3- m

    2

    58 Packs of four lemons cost 68p. Which one

    of the following calculations will give the

    amount that one lemon should cost?

    a

    68 -:-

    4

    b

    68

    x 4

    c 68 - 4

    d 68 + 4

    59 A calculator is used to add up some

    amounts of money. The display shows

    13.2. The correct way to write this is

    a £13.02

    b £13.2

    c

    £13.20

    d £132

     469252

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    Space for rough work

    60 The whole numbers that are greater than 5,

    but less than 10 are

    a 5,6,7,8,9, 10

    b 5,6,7,8,9

    c

    6,7,8,9,10

    d 6,7,8,9

    NOW GO BACK AND CHECK YOUR WORK

    IM PO RT AN T -

    Are the details at the top of the answer sheet correct? .

    Have you filled in your answers in INK in the appropriate boxes on the answer sheet?