external measurement äé«°véjq of student achievement · pdf...
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∞``°üdGGrade
Mathematics
5äÉ«°VÉjQ
Test Instructions
Check that this question booklet has your correct details printed on it (eSIS number, name, date of birth, school name, class). If not, write the correct information neatly in the spaces provided.You are allowed 60 minutes for this test.You must not use a calculator.
There are two types of question:
Type 1: Multiple choice (28 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 shade in the bubble of your new answer.
Type 2: Open response (6 questions)Write your answers in the spaces provided within the test booklet.Do not write outside the answer spaces.
QÉÑàN’G äɪ«∏©J äÉeƒ∏©ŸG øª°†àj Gòg á∏Ä°SC’G Öq«àc q¿CG øe ócCÉàdG 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 60 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 28) Oó©àe øe QÉ«àN’G á∏Ä°SCG :∫hC’G ´ƒædG
.áë«ë°U É¡æe §≤a IóMGh áHÉLEG .á∏ªàfi äÉHÉLEG ™HQCG ∫GDƒ°S πμd »àdG äÉHÉLE’G ôFGhO π«∏¶àd §≤a ¢UÉ°U qôdG º∏b ΩGóîà°SG AÉLôdG
.ÉgQÉàîJIôFGO πq∏X qºK πeÉμdÉH áHÉLE’G í°ùà º≤a ,∂àHÉLEG ‘ äCÉ£NCG GPEG
.Iójó÷G ∂àHÉLEG
(á∏Ä°SCG 6) áMƒàØŸG äÉHÉLE’G äGP á∏Ä°SC’G :ÊÉãdG ´ƒædG.QÉÑàNE’G Öq«àc ‘ É¡d á°ü°üîŸG äÉZGôØdG ‘ ∂JÉHÉLEG ÖàcCG
.É¡d ¢ü°üîŸG ÆGôØdG êQÉN áHÉLEG áqjCG ¿ 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«≤dG ÜÓ£dG π«°üëàd
2012 ¢SQÉe
5051-01
*1505199999-7*1505199999-7
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
2
Aõ÷G Gò
g ‘ Ö
àμJ ’ .±ƒØ°U 4 ‘ á«≤«°Sƒe ábôa ‘ ò«eÓJ ∞≤j 1
.∞°U πc ‘ ò«eÓJ 9 ∞≤j
?á«≤«°SƒŸG ábôØdG ‘ Gò«ª∏J ºc
49 36 32 13
.kGóMGh kGΪ«àæ°S É¡JÉ©Hôe ¢SÉ«b ≠∏Ñj áμÑ°T ≈∏Y πμ°ûdG Gòg áî«°T ⪰SQ 2
?áî«°S ¬àª°SQ …òdG πμ°ûdG áMÉ°ùe Ée
á©qHôe äGΪ«àæ°S 6
á©qHôe äGΪ«àæ°S 8
á©qHôe äGΪ«àæ°S 10
kÉ©Hô` oe kGΪ«àæ°S 14
5051-02
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Grade 5 Mathematics
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1 The students in a choir stand in 4 rows.
There are 9 students in each row.
How many students are in the choir?
13 32 36 49
2 Shaika drew this shape on a 1 centimetre grid.
What is the area of Shaika's shape?
6 square centimetres
8 square centimetres
10 square centimetres
14 square centimetres
5051-03
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
4
Aõ÷G Gò
g ‘ Ö
àμJ ’ .á«dÉàdG OGóYC’G äÉbÉ£H ¿É£∏°S iód 3
.ÈcC’G Oó©dG ¤EG ô¨°UC’G Oó©dG øe kÉjóYÉ°üJ äÉbÉ£ÑdG ™°†j
?π°ù∏°ùàdG Gòg ‘ ¬«dG QÉ°ûŸG ådÉãdG Oó©dG ƒg Ée
6060 6006 6600 6660
6 × 7 = 4
36
42
48
54
?äGóMh â°S + äGöûY ¢ùªN + kÉØdCG IöûY á©Ñ°S …hÉ°ùj »∏j ɇ OóY q…CG 5
7 056
1 756
17 056
17 506
6660660060066060
ô¨°UC’GÈcC’G
5051-04
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Grade 5 Mathematics
5
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3 Sultan has these number cards.
He places them in a line in order from smallest to largest.
Which number is third in the line?
6660 6600 6006 6060
4 6 × 7 =
36
42
48
54
5 What number is equal to
seventeen thousands + five tens + six ones?
7 056
1 756
17 056
17 506
6660 6600 6006 6060
smallest largest
5051-05
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
6
Aõ÷G Gò
g ‘ Ö
àμJ ’ .´ƒÑ°SC’G ‘ ΩÉjCG áà°S äÉLGQódG ܃côd …OÉf ¤EG »∏Y Ögòj 6
65 km áaÉ°ùŸ áLGQódG Öcôj ΩÉjCG á©HQCG ‘
40 km áaÉ°ùŸ áLGQódG Öcôj Úeƒj ‘h
?áLGQódÉH É¡©£≤j »àdG áaÉ°ùŸG ´ƒª› ƒg Ée
.π◊G äGƒ£N í q°Vh
km
?Îd 1.2 ‘ kGΪ«∏e ºc 7
12 000 1 200 120 12
.OGóYCG äÉbÉ£H ™HQCG »∏j ɪ«a 8
? Iôe 100 ̀ H 333 Oó©dG ¥ƒØj …òdG Oó©dG qÚÑJ ábÉ£H áqjCG
.OGóYCG äÉ©Hôe øe káëF’ »∏Y Öàc 9
?»∏Y áëF’ ¿ƒμJ ¿CG øμÁ »∏j ɇ áëF’ áqjCG
7 ,4 ,1 9 ,4 ,1 12 ,8 ,4 6 ,4 ,2
33.33333 33033 300
5051-06
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Grade 5 Mathematics
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6 Ali goes to a cycling club on six days.
On four days he cycles 65 km
On two days he cycles 40 km
How far does he cycle altogether?
Show your working.
km
7 How many millilitres are there in 1.2 litres?
12 120 1 200 12 000
8 Here are four number cards.
Which card shows the number that is 100 times larger than 333?
9 Ali wrote a list of square numbers.
Which of the following could be Ali's list?
2, 4, 6 4, 8, 12 1, 4, 9 1, 4, 7
33.3 333 3 330 33 300
5051-07
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
8
Aõ÷G Gò
g ‘ Ö
àμJ ’ .RƒeôdG √òg Ωóîà°SG 10
< > =.¥hóæ°U πc ‘ í«ë°üdG õeôdG ÖàcCG
.Iôe øe ÌcCG ¬°ùØf õeôdG ΩGóîà°SG ∂æμÁ
?√ÉfOCG qÚÑŸG å∏ãŸG ´ƒf ƒg Ée 11
´Ó°VC’G …hÉ°ùàe å∏ãe
Ú©∏°†dG …hÉ°ùàe å∏ãe
ájhGõdG ºFÉb å∏ãe
´Ó°VC’G ∞∏àfl å∏ãe
4 × 4 2 × 8
8 × 7 6 × 9
4 × 6 5 × 5
5 × 4 4 × 5
20º
40º
4 cm
8 cm
≥«bO ÒZ º°SôdG
5051-08
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Grade 5 Mathematics
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10 Use these signs
= < >Write the correct sign in each box.
You can use each sign more than once.
11 What type of triangle is shown below?
Equilateral triangle
Isosceles triangle
Right-angled triangle
Scalene triangle
4 × 4 2 × 8
8 × 7 6 × 9
4 × 6 5 × 5
5 × 4 4 × 5
20º
40º
4 cm
8 cm
Not drawn accurately
5051-09
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
10
Aõ÷G Gò
g ‘ Ö
àμJ ’ .kɪgQO 5.49 ÜÉàμdG øªK 12
.kɪgQO 8.65 º∏≤dG øªK
.kɪ∏bh kÉHÉàc áæ«eCG äΰTG
?¬à©aO Ée ´ƒª› ¤EG ÜôbCG á«dÉàdG ä’ɪàM’G øe …CG
kɪgQO 12
kɪgQO 13
kɪgQO 14
kɪgQO 15
.äÉ©HôŸG øe •É‰CG áKÓK »∏j ɪ«a 13
.áeóîà°ùŸG äÉ©HôŸG OóY qÚÑàd ‹ÉàdG ∫hó÷G πªcCG (a
.áeóîà°ùŸG äÉ©HôŸG OóYh §ªædG ºbQ ÚH §HôJ IóYÉb ,äɪ∏μdÉH ,ÖàcCG (b
§ªædG ºbQ12345
äÉ©HôŸG OóY4
5051-10
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Grade 5 Mathematics
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12 A book costs Dhs 5.49
A pen costs Dhs 8.65
Aminah buys one pen and one book.
Which is the closest to the total cost?
Dhs 12
Dhs 13
Dhs 14
Dhs 15
13 Here are three patterns made from squares.
a) Complete the table to show how many squares are used.
b) Write, in words, a rule that connects the pattern number and the
number of squares used.
Pattern 1 Pattern 2 Pattern 3
Pattern number 1 2 3 4 5
Number of squares 4
5051-11
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
12
Aõ÷G Gò
g ‘ Ö
àμJ ’ .ΩÉbQCG á©HQCG »∏j ɪ«a 14
?35 Oó©∏d (kɪ°SÉb) kÓeÉY ¿Ó qμ°ûj ÚªbQ q…CG
9h 5 7h 5 9h 3 7h 3
( 3, 5 ) óæY kGöTDƒe ó«©°S ™` n°V nh 15
.kÉHôZ IóMhh k’ɪ°T äGóMh 4 öTDƒŸG ó«©°S ∑ôëj
?ójó÷G öTDƒŸG ™bƒe Ée
( 3, 1 ) ( 2, 9 ) ( 2, 5 ) ( 3, 9 )
6 cm á∏«£à°ùe ábÉ£H ∫ƒW ≠∏Ñj 16
.É¡dƒW ∞°üf É¡°VôY ≠∏Ñjh
?ábÉ£ÑdG áMÉ°ùe »g Ée
72 cm2 36 cm2 18 cm2 9 cm2
3579
N
5051-12
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Grade 5 Mathematics
13
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14 Here are four numbers.
Which two of these numbers are factors of 35?
3 and 7 3 and 9 5 and 7 5 and 9
15 Saeed puts a counter at ( 3, 5 )
He slides the counter 4 units North and 1 unit West.
What is the new position of the counter?
( 3, 9 ) ( 2, 5 ) ( 2, 9 ) ( 3, 1 )
16 A rectangular piece of card is 6 cm long.
The width is half the length.
What is the area of the piece of card?
9 cm2 18 cm2 36 cm2 72 cm2
3 5 7 9
N
5051-13
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
14
Aõ÷G Gò
g ‘ Ö
àμJ ’ 29 461 h 1 758 øjOó©∏d ‹ÉàdG ∫hó÷G πªcCG 17
.π◊G äGƒ£N íq°Vh
.AÉKÓãdG Ωƒj ΩÉ©£dG øe 163 kg h ÚæKE’G Ωƒj ΩÉ©£dG øe 158 kg lπ«a πcCG 18
.ÚæKE’G Ωƒj ìÉÑ°U π«ØdG ΩÉ©W øe 500 kg ∑Éæg ¿Éc
?AÉKÓãdG Ωƒj ájÉ¡f ‘ ΩÉ©£dG øe ≈≤Ñàj ºc
.π◊G äGƒ£N í q°Vh
kg
ìô£dGœÉædG
29 461 h 1 758
5051-14
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Grade 5 Mathematics
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17 Complete the table for the numbers 1 758 and 29 461
Show your working.
18 An elephant eats 158 kg of food on Monday and 163 kg of food on
Tuesday.
There was 500 kg of elephant food on Monday morning.
How much food remains at the end of Tuesday?
Show your working.
kg
Difference Sum
1 758 and 29 461
5051-15
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
16
Aõ÷G Gò
g ‘ Ö
àμJ ’ .܃°SÉ◊G ≈∏Y á£jôÿG √òg ÒÑμJ q»∏Y ójôoj 19
.150% áÑ°ùæH É k©e É¡°VôYh á£jôÿG ∫ƒW OGR ó≤d
?ójó÷G á£jôÿG πμ°T uÚÑoj »∏j Éq‡ q…CG
5051-16
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Grade 5 Mathematics
17
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19 Ali wanted to enlarge this map on his computer.
He increased both height and width of the map by 150%.
Which shows his new map?
5051-17
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
18
Aõ÷G Gò
g ‘ Ö
àμJ ’ .á≤°U’ ábQh 120 ó«©°S ™e 20
.äÉëØ°U 8 ¬H ¢UÉÿG á≤°UÓdG ¥GQhC’G ÎaO ‘ óLƒj
.áëØ°U πc ≈∏Y á≤°UÓdG ¥GQhC’G øe ¬°ùØf Oó©dG ™°Vh
?áëØ°U πc ≈∏Y É¡©°Vh »àdG á≤°UÓdG ¥GQhC’G OóY ƒg Ée
16 15 14 13
.»°SQóe ¢Vô©e ‘ âjƒμ°ùÑdG áªWÉa ™«ÑJ 21
.âjƒμ°ùH á©£b 248 Ωƒ«dG ájGóH ‘ É¡©e ¿Éc
.âjƒμ°ùH á©£b 32 Ωƒ«dG ájÉ¡f ‘ É¡©e ≈ q≤ÑJh
.Ωƒ«dG ∫ÓN É¡àYÉH »àdG âjƒμ°ùÑdG ™£ pb OóY äQ qób
?ôjó≤J π°†aCG É¡«£©J á«HÉ°ùM á«∏ªY …CG
240 – 30
240 – 40
250 – 30
250 – 40
.OGóYC’G øe É£ªf º°SÉL ¿ qhO 22
8 ƒg §ªædG Gòg ‘ ∫hC’G Oó©dG
.‹ÉàdG Oó©dG ≈∏Y ∫ƒ°üë∏d "≥HÉ°ùdG Oó©dG øe 2 Oó©dG ìôW" IóYÉb º°SÉL Ωóîà°SG
?§ªædG Gòg øe ¢ùeÉÿG Oó©dG ƒg Ée
6 4 2 0
5051-18
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Grade 5 Mathematics
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20 Saeed has 120 stickers.
He has 8 pages in his sticker album.
He places the same number of stickers on each page.
How many stickers does he place on each page?
13 14 15 16
21 Fatima is selling biscuits at the school fair.
At the beginning of the day she has 248 biscuits.
At the end of the day she has 32 biscuits left.
She estimates how many biscuits she sold during the day.
Which expression would give her the best estimate?
240 – 30
240 – 40
250 – 30
250 – 40
22 Jasem writes a number pattern.
The first number in his pattern is 8
He uses the rule ‘subtract 2 from the previous number’ to get to the
next number.
What is the fifth number in his pattern?
0 2 4 6
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
20
Aõ÷G Gò
g ‘ Ö
àμJ ’ .OGóYCG á©HQCG »∏j ɪ«a 23
3 4 7 16
?56 Oó©∏d ¿ÓeÉY ɪg øjOóY q…CG
16 h 4 7 h 4 16 h 3 7 h 3
.áμÑ°T ≈∏Y B h A Úà£≤ædG ™°Vh ” 24
?B h A Úà£≤ædG äÉ«KGóMEG »g Ée
( 0, 3 ) h ( 4, 0 )
( 3, 0 ) h ( 4, 0 )
( 3, 0 ) h ( 0, 4 )
( 0, 3 ) h ( 0, 4 )
0
1
2
3
4
5
6
7
0 1 2 3 4 5 6 7
y
x
A
B
5051-20
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Grade 5 Mathematics
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23 Here are four numbers.
3 4 7 16
Which two of these numbers are factors of 56?
3 and 7 3 and 16 4 and 7 4 and 16
24 Two points A and B are marked on a grid.
What are the co-ordinates of points A and B?
( 4, 0 ) and ( 0, 3 )
( 4, 0 ) and ( 3, 0 )
( 0, 4 ) and ( 3, 0 )
( 0, 4 ) and ( 0, 3 )
0
1
2
3
4
5
6
7
0 1 2 3 4 5 6 7
y
x
A
B
5051-21
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
22
Aõ÷G Gò
g ‘ Ö
àμJ ’ ?áë«ë°U á«HÉ°ù◊G á«∏ª©dG √òg íÑ°üàd ÚàfÉÿG ‘ ¬©°Vh Öéj ºbQ …CG 25
3
4
6
7
?ΩGôZ 2010 ‘ ÉeGôZƒ∏«c ºc 26
0.201 kg
2.01 kg
20.1 kg
201 kg
.Iôe πc 50`H á©HÉààŸG á∏°ù∏°ùdG √òg ‘ OGóYC’G ójõJ 27
?á∏°ù∏°ùdG √òg ‘ ¿ƒμ«°S …òdG 1000 øe ÈcC’G ∫hC’G Oó©dG ƒg Ée
210
1010
1060
1160
4 + 3 = 100
60 110 160+50 +50 +50
…
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Grade 5 Mathematics
23
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25 Which digit must go in both boxes to make this calculation correct?
3
4
6
7
26 How many kilograms are the same as 2010 grams?
0.201 kg
2.01 kg
20.1 kg
201 kg
27 The numbers in this sequence increase by 50 each time.
What is the first number greater than 1000 that would be in the
sequence?
210
1010
1060
1160
4 + 3 = 100
60 110 160+50 +50 +50
…
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
24
Aõ÷G Gò
g ‘ Ö
àμJ ’ .™ q°SƒŸG õ«eÎdÉH 27 272 Oó©dG ò«eÓJ á©HQCG Öàc 28
.áë«ë°U ÒZ IóMGh áHÉLEG .èFÉàædG »∏j ɪ«a
?áë«ë°U ÒZ áHÉLEG áqjCG
D C B A
.äÉ©Hôe áμÑ°T ≈∏Y ¿Éã∏ãe »∏j ɪ«a 29
.B å∏ãŸG ≈∏Y ∫ƒ°üë∏d A å∏ãŸG ÒÑμJ ”
? A åq∏ãª∏d ÒÑμàdG πeÉ©e ƒg Ée
6 3 2 1
A7 000 + 70 + 20 000 + 200 + 2
B20 000 + 7 000 + 200 + 70 + 2
C2 + 200 + 20 000 + 70 + 7 000
D2 + 200 + 20 000 + 70 + 700
A
B
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Grade 5 Mathematics
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28 Four students record the number 27 272 in expanded notation.
Here are the results. One answer is not correct.
Which answer is not correct?
A B C D
29 Here are two triangles on a square grid.
Triangle A is enlarged to give triangle B.
What is the scale factor of the enlargement?
1 2 3 6
A 7 000 + 70 + 20 000 + 200 + 2
B 20 000 + 7 000 + 200 + 70 + 2
C 2 + 200 + 20 000 + 70 + 7 000
D 2 + 200 + 20 000 + 70 + 700
A
B
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
26
Aõ÷G Gò
g ‘ Ö
àμJ ’ ‘ IQGô◊G áLQO óªM π qé°S ,(ôjÉæj) ÊÉãdG ¿ƒfÉc ΩÉjCG øe Ωƒj ‘ 30
1°C âfÉch ¿óæd
:óªM ∫Éb
'.3°C `H OôHCG IQGô◊G áLQO âfÉc ¢ùeC’G ‘'?¢ùeC’G ‘ IQGô◊G áLQO qÚÑj OGóYCG §N …CG
–10 10–5 50
–10 10–5 50
–10 10–5 50
–10 10–5 50
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Grade 5 Mathematics
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30 On a day in January, Hamad records the temperature in
London as 1°C
He says:
'Yesterday the temperature was 3°C colder.'
Which number line shows yesterday's temperature?
–10 10–5 50
–10 10–5 50
–10 10–5 50
–10 10–5 50
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
28
Aõ÷G Gò
g ‘ Ö
àμJ ’ .äÉ©Hôe áμÑ°T ≈∏Y äÓ«£à°ùe á©HQCG »∏j ɪ«a 31
?¬°ùØf §«ëŸG ɪ¡d Ú∏«£à°ùe …CG
A h D B h C D h B C h A
.∫GhódG ádBG »∏j ɪ«a 32
.‹ÉàdG ∫hó÷G πªcCG
A
B
C
D
× 2+ 1
äÓNóŸGäÉLôîŸG
37
5
17
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Grade 5 Mathematics
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31 Here are four rectangles on a square grid.
Which two rectangles have the same perimeter?
A and C B and D C and B D and A
32 Here is a function machine.
Complete the table.
A
B
C
D
INPUT OUTPUT× 2 + 1
INPUT OUTPUT
3 7
5
17
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äÉ«°VÉjQ - ¢ùeÉÿG ∞°üdG
30
Aõ÷G Gò
g ‘ Ö
àμJ ’ .áqeÉY á≤jóM ‘ Gvô‡ sÚÑoJ »gh ,1 cm `H 1 cm áμÑ°T √òg 33
.GkÎe 40 B h A ÚH áq«≤«≤◊G áaÉ°ùŸG ≠o∏ÑJ
? qôªª∏d áq«q∏μdG áaÉ°ùŸG Ée
200 m 160 m 140 m 40 m
.á°ûFÉY ≥jôHEG ‘ AÉŸG ¢†©H ∑Éæg 34
.ºé◊G ájhÉ°ùàe É¡©«ªL ÜGƒcCG 8 ≥jôHE’G øe á°ûFÉY äCÓe
.≥jôHE’G ‘ AÉe øe ≈≤ÑJ Ée √ÉfOCG IQƒ°üdG ‘ ô¡¶j
?܃c πc ‘ á°ûFÉY É¡àÑμ°S »àdG AÉŸG ᫪c Ée
125 mL 250 mL 750 mL 1 L
A
B C
D
1L
2L
1L
2L
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Grade 5 Mathematics
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33 This 1 cm by 1 cm grid shows a pathway in a park.
The actual distance between A and B is 40 metres.
What is the total distance of the whole pathway?
40 m 140 m 160 m 200 m
34 There is some water in Aysha's jug.
Aysha then fills up 8 glasses, all the same size.
The amount left is shown below.
How much water did Aysha pour into each glass?
1 L 750 mL 250 mL 125 mL
A
B C
D
1L
2L
1L
2L
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