33
^gia-dljutfc&B j&rlfflol (JJrimarg) END-OF-YEAR EXAMINATION 2011 MATHEMATICS PAPER 1 (BOOKLET A) PRIMARY FIVE Name: Date: 2 November 2011 ( ) Class: Primary 5 Duration of Booklet A& B: 50min : Jj# P^^st|^:p^(^^s||i^^f 7 pri •.* *:;.!£--::: pages. ;^SJpj^ (OAS) provided. 5if ^^nare iiMaljoSved to use^j calculator. 3/

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Page 1: ^gia-dljutfc&Bj&rlfflol (JJrimarg) - Brain Training Centerlogicalroot.com/SingaporeMath/Grade5/2011-P5-Math-SA2... · 2015. 7. 19. · (b) Amongthe stampsthat Elijah have at first,

^gia-dljutfc&Bj&rlfflol (JJrimarg)

END-OF-YEAR EXAMINATION 2011MATHEMATICS

PAPER 1 (BOOKLET A)PRIMARY FIVE

Name:

Date: 2 November 2011

( ) Class: Primary 5

Duration of Booklet A & B: 50min

: Jj# P^^st|^:p^(^^s||i^^f7pri•.* *:;.!£--:::

pages.

;^SJpj^ (OAS) provided.5if ^^nare iiMaljoSved to use^j calculator.

3/

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Questions 1 to 10 carry 1 mark each. Question 11 to tS carry 2 marks each.Make your choice (1,2, 3or4>. Shade the correct oval (1, 2, 3or4) on-the OpticalAnswer Sheet (OAS). (20 marks)

1. Find the value of 13 + 52 x t2_ 8.

1) 229

2) 260

3) 629

4) 722

2. Find the value of 6.09 * 80.

1) 4.872

2) 48.72

3) 487.2

4) 4 872

3. Express 2.5 m as a percentage of500 cm.

1) 5%

2) 20%

3) 50%

4) 500%

4. Jay has 108 Star Wars figurines. He gave J- of the figurines to his sister

and - ofthem to hisbrother. How many figurines did he have left?

1) 45

2) 63

3) 72

4) 81

5}

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5. Calvin is | as heavy as Danny. If their total mass is 126 kg, what isCalvin's mass?

1) 14 kg

2) 45 kg

3) 56 kg

4) 70 kg

6. 2students pay atotal of $0.90 to play agame at the carnival. How muchwould aclass of40 students pay altogether to play the game?

7.

1) $ 3.60

2) $18

3) $36

4) $40.90

The ratio of the lengths of two ribbons is 1:9. If their difference in length is312 cm, find the length ofthe longer ribbon.

1) 31.2

2) 39

3) 351

4) 390

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8.

9.

In the figure below not drawn to scate, WOX and YOZ are straight lines.Find ZTOZ.

T

1) 70°

2) 85°

3) 135°

4) 155°

In the figure below not drawn to scale, ABC is an isosceles triangle.ZABC =84°and BD isa straight line. Find ZACD.

1) 48°

2) 96°

3) 132°

4) 168

if

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10.

11

In the figure below not drawn to scate, ABC and AED are straight lines.ZBAE =45°and Z BED =120° Find ZCBE.

1) 60°

2) 75°

3) 105e

4) 120°

Atap took 12 minutes to fill up a container with a capacity of 4 I At thesame rate, how long would it take for the tap to fill up 50% of anothercontainer with a capacityof 261?

1) 36 min

2) 39 min

3) 52 min

4) 78 min

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12. Claudia had a^sum ofmoney. If she bought 18&cards, she wouldhave $42* left If shebought 164cards, she wouldhave $90 left.How much money did she have at first?

1) 328

2) 334

3) 376

4) 418

13. Acontainer of base 18 mby 11 mwas filled with water to aheight of 8When water from the container is used to fill up 3empty bottles to the

brim, the water level in the container dropped to 2 of its original height.Find the volume of 5 such bottles.

1) 330 m3

2) 990 m3

3> 1 650 m3

4) 1 782 m3

m.

n

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14. The charges for renting a car are given in the box below. Mr Yeo rented a

car at 11.50 a.m. He returned it at2.05 p.m. onthe same day. How muchdid Mr Yeo pay for renting the car?

15.

For the first hour$80

For every additional - houror part thereof $40

(1) $120

(2) $160

(3) $200

(4) $240

When Yanling increases her savings by 50% and Serene decreases hers

by 75%, both of them will save the same amount which is $240. Howmuch

are their total savings at first?

1) $480

2) $800

3) $960

4) $1 120

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^nglo^fi^hiBSB^r^i (Irrintarg)

ENDOF-YEAR EXAMINATION 2011MATHEMATICS

PAPER 1 (BOOKLET B)PRIMARY FIVE

Name:

Date: 2 November 2011

( ) Class: Primary 5

Duration of Paper Booklet A & B: 50 min

Parent's/Guardian's signature

INSTOUCTIOffSTTO CANDIDATES

1-^TKisquestionpaper cohsistsof8printed pages.2. Danqttum'thispage until you are toldto do so.3. Follow-all instructions carefully.4r Answer all questions.5.""Xou are not alloWed to use a calculator.

Paper 1Booklet A. Multiple-Choice Questions

Paper 1Booklet B. Short Answers: Part 1

Paper 1Booklet B. Short Answers: Part 2

Total Marks

20

10

10

40

*r

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Questions 16 to 25 carry 1mark each. Write your answers in the spaces providedGive your answers to the units stated and to its simpiesUoim wheneverneC6SSary- (10 marks)

16. Express 809 hundredths as a decimal.

Answer:

17. Find the sum of - of400qand - of4ka4 4

Answer: kg

18. Find the value of ~- 7. Express your answer asa decimal correct to 2decimal places.

Answer

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19. Owen spends 20% of a day studying. How many hours does he study ineach day? Give your answer as a mixed fraction in itssimplest form.

Answer:

20. The average age of 3 girls is 5 years 4 months and the average age of 2boys is 9 years 11 months. Find the total age of the 5 children.

Answer , yr mth

21. - ofWinnie's father's age h equal to.twice her age. What Is the ratio ofWinnie's age to her father's age?

Answer

fH

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22. A basket of eggs was shared among Alan, Brian and Cathy in the ratio4:5:6. Brian received 660 eggs. How many more eggs did Cathy receiveas compared to Alan?

Answer.

23. The average marks of4 students in a Math exam is 81. If the averagemarks of 3 students is 76, how many marks did the 4th student score?

Answer

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24. In the figure below not drawn to scale, PQRS is a trapezium.

Z SPQ = 125° and Z PSR is half of Z PQR. Find Z PQR.

Answer:

25. The figure below is not drawn to scale. Find Zz.

Answer

*i

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Questions 26 to 30 carry 2marks each. Show all mathematical statements clearlyin the space below each question and write your answers in the spaces provided.

. . (10 marks)

26. In the figure below not drawn to scale, FHG is an isosceles triangle.ZEFH = 30°and Z FEH = 40°. Find ZFGH.

Answer

27. A container with a base 14 cm by 10 cm is filled with 0.46 Iof lemon juice.If 0.8 I more lemon juice is needed to fill up the container completely, findthe height of the container.

Answer: cm

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2

28. Jay used - of his money to buy 10 pencils and 3 pens. Each pencil cost

- as much asa pen. How many pens could he buy with the remaining of

his money?

Answer:

29. 9friends pay equally for ameal that cost $63.82 at arestaurant. How muchdoes each person have to pay? Round off your answer to the nearest10 cents.

Answer: $

ftr

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30. There were atotal of 370 chocolates and sweets in abox. There were 4times as many chocolates as sweets. After 82 chocolates and sweets weretaken out of the box, there were 3times as many chocolates as sweets leftHow many sweets were taken out of the box?

Answer

End-of-Paper

8

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Name:

^gln^lrinesBJStltnol (primary)

END-OF-YEAR EXAMINATION 2011MATHEMATICS

PAPER 2

PRIMARY FIVE

Class: Primary 5

Date: 2 November 2011 Duration of Paper 2:1 h 40mtn

•:Vj0. ^Musmuesuonjoaper cojosists^i^5;pnnted^pafies;

^3^]^lcViv^3ij^^

; J5.55$j^^ acalculator.

Paper 2Section B. Short Answers: Part 2

Paper 2Section C. Problem Sums

Total Marks

Parent's/feuardian's signature

. - j t s —.

50

60

n

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Questions 1to 5carry 2marks each. Show your mathematical statements clearlyin the space provided for each question and write your answers in the spacesprovided. Give your answers to the units stated and to its simplest form whenevernecessary. (10 marks)

1. The figure PQRST as shown below is made up ofan equilateral triangleand a square. If the area ofsquare PQRS is 144 cm2, find theperimeter ofPQRST.

Answer cm

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Claire bought an equal number of forks and spoons for $489^60 Eachspoon cost $3.40 and each fork cost $2.80 more than each spoon Howmany forks did he buy?

Answer:

7 ^ . 33. The sum of — of anumber and - of the same number is 624.

What is the number?

Answer:

*?

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Lucas spends 40% of his salary and saves the rest every month. If hissalary is increased by 20% in September, he would spend $1 188. Howmuch is his salary in August?

Answer: $

5. Ming has 2.5 times as much money as Olivia. Evelyn has $21 less thanMing. They have atotal of $327. How much does Evelyn have?

Answer: $

4

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For questions 6 to 18, show your steps clearly in the space provided for eachquestion and write your answers in the spaces providedFor questions which require units, give your answers in the units stated'The number of marks available is shown mbrackets [ ] at the end of eachquestion or part-question. ^q marksv

6. Nitin could buy 8 packets of potato chips and 5 bottles of coke with $1 &80.With the same amount of money, he could buy 18 such packets of potatochips. If he only wants to buy coke, how many bottles of cokes can he buywith $55?

Answer: [3]

7. Ewan had - as many orange as apples. He sold 40 oranges and bought

70 more apples. Now, he has 190 more apples than oranges. How manyapptes did he have atthe beginning?

Answer: _____ [31

SI

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8. Jaslyn has two strings ofequal length. One string is blue and the other isgreen in colour. After cutting, 2.2 m of the blue string and 3.6 m of thegreen string, the length of the blue string is 1.5 times that of the greenstring. Find the original length ofthe green string.

Answer: [3]

Every customer at a shop has to pay a 7% GST on their purchases. Theoriginal price of a television set without GST is $1 650 as shown in thefigure. At asale, the television set is sold at adiscount of 10% of its originalprice. What is the amount of money a customer has to pay for buying thetelevision set atthe sale? -

$1 650

Answer: __ [3]

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10. The ratio ofJane's savings to Matz's savings is 5: 2. When Jane gives $25

to Matz, she stilr has$55more than him. What was Jane's original savings?

Answer: _[3]

r>

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11 In the figure below, a fish tank measuring 52 cm by 25 cm by 48 cmcontained 2 720 me ofwater. Sandy then turned on a tap that flows ata

rate of4.321 per minute. How long does it take for the tank to be - filled3

with water? Give your answer in minutes.

48 cm

25 cm

52 cm

Answer W

8

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12. At first, Daniel had 185 twenty-six-cent stamps. After giving 30 stamps to

Elijah, they both have the same number of stamps.

(a) How many stamps did Elijah have at first?

2(b) Among the stamps that Elijah have at first, - of them were

fifty-five-cent andthe rest weretwenty-six-cent stamps. How many

twenty-six-centstamps did both Daniel and Elijah have altogether?

Answer (a) __ [1 ]

(b) J3]

*r

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13. Bryan's marks for English and Science are in the ratio 6 : 5. His Mathematics

7

marks is - of his Science marks. The total marks for his Mathematics ando

English is 166.

(a) Find his marks for English.

(b) What is the average mark of the 3 subjects?

10

Answer (a) [2]

(b) ;[2]

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14. There were 864 more chocolate muffins than banana muffins in a shop.

After - of the chocolate muffins and - ot the banana muffins were sold,

there were 1728 more chocolate muffins than banana muffins left. Howmany chocolate muffins were there at first?

Answer: mi

11

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15. In a school library, 48% of the books were English books, 25% of the

remaining books were Malay books and the rest of the books were Chinese

books. Given that there were 897 Chinese books,

(a) howmany books arethere inthe library inall?

(b) how many Malay books were there?

12

Answer (a) [2]

(b) [2]

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16. In the figure below, not drawn to scale, ABCE is a square and EDC is anequilateral triangle. Find z x.

Answer [5]

13

*1

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17. Ryan, Sean and Tristan collected atotal of492 bookmarks. Ryan had theleast number of bookmarks. At first, the ratio of the number of bookmarks

Sean had to the ratio ofbookmarks Tristan had was 3 :2. After Ryan andSean each gave away 50% of their bookmarks, Sean had 74 bookmarks

more than Ryan. If the three boys had 326 bookmarks left, how manybookmarks did Ryan have in the beginning?

Answeut [5]

14

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18. Mrs Ho had 2boxes of oranges. At first, there are 228 more oranges in BoxAthan in Box B. Mrs Ho then transfers 600 oranges from Box Ato Box B.Now, Box Bcontained 5times as many oranges as Box A. How manyoranges are there in each box at first?

Answer: Box A: m

Box B: __ pi

End-of-Paper

15

it

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Oelive^.

«?06#

EXAM PAPER 2011

SCHOOL : ACS

SUBJECT : PRIMARY 5 MATHEAMATICS

TERM SA2

Ql Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 QIO Qll Q12 Q13 Q14 Q1543 3 3 1 2 2 3 2 3 3 2 4 3 3

16)8.09 17)l.lkg

21)1:6 22)264

26)55° 27)9cm

Paper 2

1)12x5 = 60cmIt is 60cm

2)spoon->$3.40Fork->$6.206.2 + 3.4 = 9.6

489.64-9.6 = 51

She bought 51 forks

3)3A = 9/127/12 = 9/12 =16/12624/16 x 12 = 468It is 468

4)4/10 x 12 = 4.81188/48 = 247.5247.5 x 10 = $2475His salary is $2475

5)D^luM-»2.5u

E^2.5u-21

327 + 21= 348

3484-6 = 58

(58x2.5)-21 = $124She has $124

18)0.06 19)44/5

23)96 24)110°

28)12 pens 29)$7.10

20)35 yr 10 mth

25)127°

30)2 sweets

6)19.804-18 = 101.10x8 = 8.80

19.80 - 8.80 = 11

114-5 = 2.20

554-2.20 = 25

He can buy 25 bottles of coke

7)o->lua^>2u

lu-40 + 190 = 2u + 70

lu + 150 = 2u + 70

150 - 70 = 80

80/1 = 8080 x 2 = 160

He had 160 apples at first

8)2.2m + 1.5u = 3.6m + lu1.5u - lu = 0.5u

3.6-2.2 = 1.4

0.5u-»1.4

lu-~>2.8

1.5 x 2.8 = 4.2

4.2 + 2.2 = 6.4

2.8 + 3.6 = 6.4m

It is 6.4m

«*

study
Rectangle
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9)9/10 x 1650 = 1485107/100 x 1485 = $1588.95The amount of money is $1588.95

10p:M J-»5u

5:2 M->2u

5u - 25 = 2u + 25 + 55

5u-25 = 2u + 80

80 + 25 = 105

105/3 = 35

35x5 = 175

It was $175

11)2/3 x 52 x 25 x 48 = 4160041600 - 2720 = 38880

38880/4320 = 9It takes 9 minutes

12)a)185 - 30 = 155155 - 30 = 125

He had 125 stamps at firstb)3/5 x 125 = 75

75 + 30 + 155 = 260

They had 260 twenty-six cent stamps

13)a)48 + 35 = 831664-83 = 2

48 x 2 = 96

It is 96 marks

b)48 + 40 + 35 = 123123 x 2 = 246

246 4-3 = 82

It is 82 marks

14)C->12u B-4>12uLeftC->10u

B->10u-1728

(lOu -1728) x 4 = 40u - 691240u - 6912 = 12u - 864

6912-864 = 6048

6048/28 = 216216 x 12 = 2592

There were 2592 chocolate muffins

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15)E->48M-»13

C-»39

897/39 x 100 = 230013/100 x 2300 = 299a) There were 2300 booksb) There were 299 Malay books

16)ZEDC = 60°ZBCE = 90°

ZBCD = 60° + 90° = 150°

ZCBD or ZBDC

= (180° -150° ) 4- 2 = 15°ZDBE = 45° -15° =30°

Zx = 180° -45° -30° = 105°

It is 105°

17)492 - 326 = 166166 x 2 = 332

R+S = 332

166-74/2 = 4646 + 74 = 120

After 50% taken awayS->120

R-»46

46 x 2 = 92

He had 92 bookmarks

18)Before AfterA->u A-»u- 600

B->u - 228 B->(u - 228)4-600 = u + 372

5u - 3000 = u + 372

372 + 3000 = 3372

33724- 4 = 843

843 - 228 = 615

There were 843 oranges in Box A and 615 oranges in Box B

fr