emsa march 2012 maths gr7 released items.pdf

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  • 8/19/2019 EMSA March 2012 Maths Gr7 Released Items.pdf

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    ∞``°üdGGrade

    Mathematics

    7äÉ«°VÉjQ

    Test Instructions

    Check that this question booklet has yourcorrect details printed on it (eSIS number,

    name, date of birth, school name, class).If not, write the correct information neatlyin the spaces provided.

     You are allowed 80 minutes for this test.

     You must not use a calculator.

    There are two types of question:

    Type 1: Multiple choice (29 questions)

    Each question has four possible answers.Only one is correct.

    Use only a pencil to shade in the

    answer bubble of your choice. If you make a mistake then rub out

    your answer completely and shadein the bubble of your new answer.

    Type 2: Open response (8 questions)

    Write your answers in the spaces providedwithin the test booklet.

    Do not write outside the answer spaces.

    QÉÑàN’G äɪ«∏©J  äÉeƒ∏©ŸG øª°†àj Gòg á∏Ä°SC ’G Ö q«àc q¿C G øe ócC ÉàdG AÉLôdG  

     ïjQÉJ ,º°S’G ,eSIS ò«ª∏àdG ∞jô©J ºbQ) ∂H á≤∏©àŸG áë«ë°üdG ÖàcÉa ,∂dòc øµj ⁄ ¿EG .(∞°üdG ,á°SQóŸG º°SG ,IO’ƒdG

    .É¡d ¢ü°üîŸG ÆGôØdG ‘ í°VGh πµ°ûH áë«ë°üdG äÉeƒ∏©ŸG.á≤«bO 80 QÉÑàNEÓd ¬H 샪°ùŸG øeõdG  

    .QÉÑàN’G ∫ÓN áÑ°SÉ◊G ádB  ’G ΩGóîà°SÉH íª°ùj ’  

    :á∏Ä°SC’G øe ÚYƒf QÉÑàN’G Gòg øª°†àj (’GDƒ°S 29) Oó©àe øe QÉ«àN’G á∏Ä°SCG :∫hC’G ´ƒædG

    .áë«ë°U É¡æe §≤a IóMGh áHÉLEG .á∏ªàfi äÉHÉLEG ™HQC G ∫GDƒ°S πµd  

     »àdG äÉHÉLE’G ôFGhO π«∏¶àd §≤a ¢UÉ°U qôdG º∏b ΩGóîà°SG AÉLôdG 

    .ÉgQÉàîJIôFGO π q∏X qºK πeɵdÉH áHÉLE’G í°ùà º≤a ,∂àHÉLEG ‘ äC É£NC G GPEG  

    .Iójó÷G ∂àHÉLEG(á∏Ä°SCG 8) áMƒàØŸG äÉHÉLE’G äGP á∏Ä°SC’G :ÊÉãdG ´ƒædG

    .QÉÑàNE’G Ö q«àc ‘ É¡d á°ü°üîŸG äÉZGôØdG ‘ ∂JÉHÉLEG ÖàcC G   .É¡d ¢ü°üîŸG ÆGôØdG êQÉN áHÉLEG á q jC G ¿ qhóJ ’  

    School

     :eSIS No.

    Family name

    Father's name

    Date of birth First name

    Class

      / Absent

    External Measurement

    of Student Achievement

    March 2012

    »LQÉÿG ¢SÉ«≤dGÜÓ£dG π«°üëàd

    2012 ¢SQÉe

    5071-01

    *1507199999-9*1507199999-9

    -

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    äÉ«°VÉjQ - ™HÉ°ùdG ∞°üdG

    2

      A  õ  ÷  G  G  ò  g  ‘  Ö  à  µ  J  ’ .ká≤°U’ kÉbGQhC G AÉahh IóªM ™ªŒ  1

    á≤°UÓdG ¥GQhC ’G OóY ±É©°VC G çÓK …hÉ°ùj AÉah IRƒëH »àdG á≤°UÓdG ¥GQhC ’G OóY.IóªM IRƒëH »àdG

    .á≤°U’ ábQh x

     IóªM iód ?AÉah IRƒëH »àdG á≤°UÓdG ¥GQhC ’G OóY Ée x

    3  3 x    x – 3    x + 3  

    .§£îŸG ¤EG ô¶fC G  2

    ?e

     ájhGõdG=

     d 

     ájhGõdG GPÉŸ¿ÉàdOÉÑàe ¿ÉàjhGR ɪ¡ qfC ’¿ÉJôXÉæàe ¿ÉàjhGR ɪ¡ qfC ’

    ¿ÉàdOÉÑàe ¿Éà«∏NGO ¿ÉàjhGR ɪ¡ qfC ’¿ÉàªFÉb ¿ÉàjhGR ɪ¡ qfC ’

    ?á«dhC G kGOGóYC G É¡©«ªL á«dÉàdG OGóYC ’G øe áYƒª› …C G 3

    1, 3, 5, 7, 9  2, 5, 13, 19, 23  

    7, 13, 21, 23, 29  23, 27, 29, 31, 37  

    a   b

    c   d 

    e   f 

    g   h

    5071-02

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    Grade 7 Mathematics

    3

     d  on o t wr i   t  ei  n t 

    h i   s  s  p a c  e

      1  Hamda and Wafa collect stickers.

    Wafa has three times as many as Hamda.

    Hamda has x

     stickers.

    How many stickers does Wafa have?

       x + 3  x – 3 3 x  x

    3

      2  Look at this diagram.

    Why does angle d  = angle e?

      Because they are alternate angles

      Because they are corresponding angles

      Because they are co-interior angles

      Because they are right angles

      3  Which one of these sets of numbers is prime?

      1, 3, 5, 7, 9

      2, 5, 13, 19, 23

      7, 13, 21, 23, 29

      23, 27, 29, 31, 37

    a   b

    c   d 

    e   f 

    g   h

    5071-03

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    äÉ«°VÉjQ - ™HÉ°ùdG ∞°üdG

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      A  õ  ÷  G  G  ò  g  ‘  Ö  à  µ  J  ’ ..¿Gó«©dG øe áYƒæ°üŸG •É‰C ’G ¢†©H »∏j ɪ«a  4

    ?§ªædG Gòg ∞°üJ »àdG á«∏ª©dG »g Ée4n  + 1  4n  + 5  

    5n  5n  + 4  

    .AÉah ´QÉ°T ‘  mO’hC G 10h kÉàæH 15 øµ°ùJ  5

    ?(O’hC ’Gh äÉæÑ∏d) » q∏µdG ´ƒªéŸG øe äÉæÑ∏d ájƒÄŸG áÑ°ùædG »g Ée60%   25%   15%   5%  

    ?πµ°ûdG Gòg áMÉ°ùe »g Ée  6

    cm

    2

     

    ( n) §ªædG ºbQ12345

    ( s) ¿Gó«©dG G OóY59131721

    123

    ≥«bO ÒZ º°SôdG6 cm

    8 cm

    9 cm

    5 cm

    5071-04

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    Grade 7 Mathematics

    5

     d  on o t wr i   t  ei  n t 

    h i   s  s  p a c  e

      4  Here are some patterns made from sticks.

    What is the rule describing this pattern?

      4n  + 1

      4n  + 5

      5n

      5n  + 4

      5 15 girls and 10 boys live on Wafa’s street.

    What percentage of the children are girls?

      5% 15% 25% 60%

      6  What is the area of this shape?

    cm

    2

     

    1 2 3

    Pattern number ( n) 1 2 3 4 5

    Number of sticks ( s) 5 9 13 17 21

    6 cm

    8 cm

    9 cm

    5 cm

    Not to scale

    5071-05

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    äÉ«°VÉjQ - ™HÉ°ùdG ∞°üdG

    6

      A  õ  ÷  G  G  ò  g  ‘  Ö  à  µ  J  ’ ?»£«£î sàdG º°SqôdG ‘ m° `H É¡«dEG õneôo j »àqdG ájhGqõdG ¢SÉ«b Ée  7

    65° 55° 45° 35°

    ?á«dÉàdG á«HÉ°ù◊G á«∏ª©dG ÜGƒL ƒg Ée  80.9 × 0.6

    54   5.4   0.54   0.054  

    ?q‹hC G á«JB  ’G OGóYC ’G øe OóY …CG  991 89 87 85

    ?ÈcC G ɪ¡ q jC G  10

    40  øe 60%  hC G 60 øe  40%60 øe 40%  

    ¿ÉjhÉ°ùàe ɪgÓc40 øe 60%  

    ÈcC G ɪ¡jC G áaô©e øµÁ ’

    .áHÉLE’G áØYÉ°†e â“ ºK OóY ¤EG 5 áaÉ°VEG ”  11?Gòg qÚÑJ »∏j ɇ á«HÉ°ùM á«∏ªY …C G

    n  + 5 × 2  2n  + 5  

    (n  + 5 )2  2 (n  + 5 )  

    145º

    5071-06

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    Grade 7 Mathematics

    7

     d  on o t wr i   t  ei  n t 

    h i   s  s  p a c  e

      7  What is the size of the angle marked m° in this diagram?

      35° 45° 55° 65°

      8  What is the answer to this calculation?

    0.9 × 0.6

      0.054 0.54 5.4 54

      9  Which one of these is a prime number?

      85 87 89 91

     10  Which is bigger?

    40% of 60 or   60% of 40

      40% of 60

      They are both the same

      60% of 40

      It is not possible to know

     11  A number has 5 added to it, then the answer is doubled.

    Which expression shows this?

      n  + 5 × 2

      2n  + 5

      (n  + 5 )2

      2 (n  + 5 )

    145º

    5071-07

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    äÉ«°VÉjQ - ™HÉ°ùdG ∞°üdG

    8

      A  õ  ÷  G  G  ò  g  ‘  Ö  à  µ  J  ’ :Qƒ°ùc ∫hóL »∏j ɪ«a  12

    :»∏j Ée œÉf OÉéjE’ √ÓYC G ∫hó÷G Ωóîà°SG13

      +512

      = (a

     

    56

      –13

      = (b

     

    .É¡°ùØf áMÉ°ùŸG √ÉfOC G á©HQC ’G ∫ɵ°TC Ód  13?§«fi ÈcC G ¬d πµ°T q…C G

    112

    1

    6

    13

    5071-08

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    Grade 7 Mathematics

    9

     d  on o t wr i   t  ei  n t 

    h i   s  s  p a c  e

     12  Here is a fraction table:

    Use it to help you work out:

    a)13

      +5

    12  =

     

    b)56

      –13

      =

     

    13  The four shapes below have the same area.

    Which shape has the largest perimeter?

    112

    1

    6

    13

    5071-09

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    äÉ«°VÉjQ - ™HÉ°ùdG ∞°üdG

    10

      A  õ  ÷  G  G  ò  g  ‘  Ö  à  µ  J  ’ .á«dhC G πeGƒY øe ÜöV π°UÉM πµ°T ≈∏Y 315 Oó©dG ÖàcC G  14

    315 =

    ?á«dÉàdG á«HÉ°ù◊G á«∏ª©dG ÜGƒL ƒg Ée  15

    7.2 ÷ 0.6

    0.12   1.2   12   120  

    .¿Gó«Y øe áYƒæ°üŸG ∫ɵ°TC ’G øe m•É‰C G á∏°ù∏°S √òg  16

    .¬°ùØf §ªædÉH á∏°ù∏°ùdG ôªà°ùJ.§ªædG πµd áeóîà°ùŸG ¿Gó«©dG OóY √ÉfOC G ∫hó÷G ô¡¶j

    ?13 ºbQ §ªædG ™æ°üd Ωóîà°ù«°S kGOƒY ºc 29 28 27 25

    πµ°ûdG ºbQ123…13

    ¿Gó«©dG OóY357…?

    5071-10

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    Grade 7 Mathematics

    11

     d  on o t wr i   t  ei  n t 

    h i   s  s  p a c  e

     14  Write 315 as a product of prime factors.

    315 =

    15  What is the answer to this calculation?

    7.2 ÷ 0.6

      120 12 1.2 0.12

     16  Here is a sequence of patterns made from sticks.

    The sequence continues in the same way.

    The table of values shows how many sticks are used to make each pattern.

    How many sticks are used to make the pattern 13?

      25 27 28 29

    pattern 1 pattern 2 pattern 3

    Pattern number 1 2 3 … 13

    Number of sticks 3 5 7 … ?

    5071-11

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    äÉ«°VÉjQ - ™HÉ°ùdG ∞°üdG

    12

      A  õ  ÷  G  G  ò  g  ‘  Ö  à  µ  J  ’ »JB  ’G πµ°ûdG ‘ z áª«b Ée  17

    146 134 107 102

    .äÓ«£à°ùe …RGƒàe ™æ°üàd iôNC ’G ¥ƒa IóMGƒdG πàµdG ¿ÉÁEG ™°†J  181 cm3 á∏àc πc ºéM ≠∏Ñj

    ?äÓ«£à°ùŸG …RGƒàe ºéM ƒg Ée32 cm

    3   26 cm3   24 cm3   12 cm3  

    ? 615 930 Oó©dG º°ù≤J É¡©«ªL á«dÉàdG OGóYC ’G øe áYƒª› …C G  19

    2, 3, 5, 6  2, 3, 4, 10  2, 4, 5, 10  5, 6, 9, 10  

    34º

     z º

    5071-12

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    Grade 7 Mathematics

    13

     d  on o t wr i   t  ei  n t 

    h i   s  s  p a c  e

     17  What is the value of  z  in this diagram?

      102 107 134 146

     18  Eman stacks some blocks to make a cuboid.Each block has a volume of 1 cm3

    What is the volume of the cuboid?

      12 cm3 24 cm3 26 cm3 32 cm3

     19  Which set of numbers divides exactly into 615 930?

      2, 3, 5, 6

      2, 3, 4, 10

      2, 4, 5, 10

      5, 6, 9, 10

    34º

     z º

    5071-13

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    5071-32

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