NAN HUA PRIMARY SCHOOLSEMESTRAL ASSESSMENT 1- 2011

PRIMARY 6

MATHEMATICS

Paper 1

Section A: 15 Multiple Choice Questions (20 marks)Section B:15 Short Answer Questions (20 marks)Total Time for Paper 1 :50 minutes

iMSTRUCTtOH" TO CANDIDATES

1 Write your name and index number in the space provided.2. Do not turn over the page until you are told to do so.3. Follow all instructions carefully.

1-15.

6. You are nplallowed to use the calculator for Paper 1.

Marks Obtained

Paper 1

Paper 2

Total

Name:

Class: P 6

Date: 11 May 2011

/40

/60

/100

Parent's Signature:.

^r

Section A (20marks)

Questions 1 to 10 carry 1 mark each.Questions 11 to 15 carry 2 marks each.For each question, four options are given. One ofthem is the correct answer.Make your choice (1.2.3 or 4). Shade the oval (1. 2. 3or 4) on the OpticalAnswer Sheet.

2 31. What is the value of — * - ?

£6

(1)1

6

(2)8

27

(3)8

(4) 6 ( >

2. Express 40 minutes as a fraction of 2Ji2Ui£

(1)

(2)

(3)

(4)

_1_20

1_5

3

2 ( )3

Johnson bought acamera that cost $1 100 when rounded off to the nearesthundred dollars. Which one of the following could be the actual cost of thecamera?

(1) $1 039

(2) $1049

(3) $1 119( )(4) $1 159 v

4.Simplify4r+5+3r-2.

(1)r-7

(2)r+7

(3)lr+3

(4)7r-3

5.Theareasoftwosquaresareintheratio1:4.Theareaofthesmallersquareis9cm2.Whatisthelengthofthesidesofthelargersquare?

(1)6cm

(2)9cm

(3)3cm

(4)36cm

6.Atankwasleftwith6-litresofwaterinitafter-litresofwaterwasremoved8^

fromit.Howmuchwaterwasthereinthetankatfirst?

(1)6-litresv'8

(2)6—litres v/12

(3)6-litresv'4

(4)6-litres()v'8

7.Thereare90marblesinabag.18arewhite,45areblueandtherestarered.Whatpercentageofthemarblesinthebagarered?

(1)20%

(2)27%

(3)30%

(4)50%

<?7

8. The ratio of the base to the height of a triangle is 5 : 4. The base of the triangle is15 cm. Find the area of the triangle.

(1) 12 cm2

(2> 27 cm2

(3) 90 cm2

(4) 180 cm2 ( >

An aeroplane takes 40 minutes to complete a distance of 540 km from one

airport to another. What is the average speed?

(1) 13.5 km/r

(2) 81 km/h

(3) 135 km/h

(4) 810 km/h ( )

10. The figure, which is not drawn to scale, shows the net of a solid. What is thename of the solid?

3?

(1) cube

(2> cuboid

(3) prism

(4> pyramid ( )

11.Inthefigurebelow,ABDandCBEarestraightlines.FindZBCD.A

(1)48°

(2)52°

(3)64°

(4)112°

12.Christophersaved$150lessthanJeremy.30%ofChristopher'ssavingswasthesameas20%ofJeremy'ssavings.Howmuchdidtheysavealtogether?

(1)$450

(2)$750

(3)$1500

(4)$3000

13.Samyboughtapairofshoes.Afteradiscountof20%fortheshoes,thesalesgirlgaveSamyafurthercashdiscountof$20.Finally,Samypaid$120fortheshoes.Whatwasthepriceoftheshoesatfirst?

(1)$100

(2)$125

(3)$150

(4)$175

*°l

14.ThetablebelowshowsthepostageratesofsendingparcelsbyairtoFrance.

Country

France

PostageRates(ByAir)

First200g

$25

Everyadditional100gorpart

thereof

$6

Calculatethetotalpostageforsendinga650gparceltoFrancebyair.

(1)$39

(2)$52

(3)$55

(4)$78

15.Inthefigure,notdrawntoscale,theratiooftheareaofRectangleAtoareaof

RectangleBtoareaofRectangleCis1:2:8.If-ofBisshaded,whatisthe

ratiooftheareaoftheshadedparttotheareaoftheunshadedpartofthefigure?

*>

(1>1:4

(2)1:11

<3>1:15

(4)1:21()

Section B (20 marks)

Questions 16 to 25 carry 1 mark each. VVrite your answers in the spaces provided. Forquestions which require units, give your answers in the units stated. [10 marks]

16. 68 * 1 000 = + 10

The missing decimal in the box is

17. Express 2— as a percentage.4

18. If a = 3, find the value of2a +6

Ans:

Ans: %

Ans:

19. Rachel had y beads. Tammy had thrice as many beads as Rachel. Jackie had 12

more beads than Tammy. How many beads did the 3 girls have in all?

Ans:

Subtotal /4

<-H

20. The figure shown below is folded to make a cube, which letter is at the base of

the cube?

-•Top of cube•

~

;

o L

;d i

s

21. Fill in the missing decimal.

|—I 1 I I I I5.2 5.4 5.6

Ans:

1—h5.8

Ans:

22. The average of 12 numbers is 97. if the sum of the 11 numbers is 1 039, what is

the 12th number?

Ans:

7 223 The sum of — of a number and - of the same number is 132.10 5

What is the number?

Ans:

Subtotal

8

M*

/4

24. BulbA lights up every 3 minutes.Bulb B lights up every 4 minutes.Bulb C lights up every 8 minutes.Ifall the 3 bulbs light up 7.25 p.m.Whenwill be the next timethey light up together again ?

Ans:

25. What percentage of the figure is shaded?

Ans:

j).m.

%

Subtotal /2

<A5

Questions 26 to 30 carry 2 marks each. Show your working clearly in the spaceprovided for each question and write your answers in the spaces provided. For eachquestions which require units, give your answers in the units stated. [10 marks]

26.

27.

4<f

Mr. Yong cycled at a speed of 12 km/h. Howlong did he take to

complete a journey of 30 km?

Ans: h mm

Mrs. Leong places 15 potted plants around a triangular garden. Every

corner of the garden is placed with a potted plant. There is an equal

number of potted plants on each side of the garden. How many potted

plants are on each side of the garden?

10

Ans:

j. Subtotal /4

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in this space

28. The figure below is an octagon made up of four parts, P, Q, Rand S.

Which two parts will add upAq- make — ofthefigure?16

Ans and

29. Kelly had some sweets. She gave Josiah ^ of her sweets and 3more.

Then shegave Matthew -^ of the sweets left. In the end, she had 18sweets left. What was the total number of sweets that Kelly had at first?

11

Ans

Subtotal 14

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S4T

30. Siti gave 5% of her collection of stickers to Alice thereby increasingAlice's collection by 10%. If Siti had 76 stickers left, how many stickersdid Alice have at first?

('\>

Ans:

Subtotal f2

END OF PAPER

12

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in this space

NAN HUA PRIMARY SCHOOLSEMESTRAL ASSESSMENT 1-2011

PRIMARY 6

MATHEMATICS

Paper 2

Section A : 5 Short Answer Questions (10 marks)

Section B : 13 Long Answer Questions (50 marks)

Total Time for Paper 2 :1 hour 40 minutes

INSTRUCTIONSTO CANDIDATES

1. Write your name and index number in the space provided.2. Do not turn over the page until you are told to do so.

3. Follow all instructions carefully.

4. Answer all questions and show your workings clearly.

5. You are allowed to use the calculator for Paper 2.

Marks Obtained

Total 7 60

Name:

Class: P 6

Date: 11 May 2011

±f*

Section A (10 marks)

Questions 1 to 5 carry 2 marks each. Show yourworking clearly in the space providedfor each question and write your answers in the spaces provided.For questionswhich require units, give your answers in the units stated.

1.

3.

H2

The breadth of a rectangle is 60% of its length. Ifthe breadth of therectangle is 18 cm, what is the perimeter of the rectangle?

Ans: cm

A tailor has 3 metres of cloth. He uses — metres of cloth to make a15

headband. What is the maximum number of headbands he can makewith his cloth?

Ans:

Ray has more than 10 but less than 60 cards. If he packs them intopackets of 6 cards, he will have 3 cards left over. If he packs theminto packets of 7 cards, he will be short of 5 cards. How many cardsdoes Ray have?

Ans

Da not write

in this space

4. ' What is the areaof the shaded figure?

5.

10 cm

2 cm

4 cm

Ans: cm'

A departmental store was having a storewide discount of20%. Samybought a pair of jeans at $56. What was the original price of the pairof jeans?

Ans:$

Do not write

in this space

4*j

Section B (50 marks)

For questions6 to 18, show your working clearty in the space provided for eachquestion and write your answers in the spaces provided.The number of marks available is shown in the brackets [ ] at the end of eachquestion or part question. Remember to include the units wherever possible.

D>

5 1Mary had - as many sweets as Lucy. After Lucygave -- of her8 4

sweets to Mary, Mary had 10 more sweets than Lucy. How many

sweets did Mary have at first?

Ans [3m]

Jack had 8p marbles. Samuel had twice as many marbles as Jack.Dave had 7 marbles less than Samuel.

a) How many marbles did Dave have?

b) How many marbles did they have altogether?

Ans: a)_ .Jim]

*2m]

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in this space

8 The ratio of the number of pencils Kathy has to the number of pencilsJoseph has is 3 : 2. After Kathy gives away 30 pencils, this ratiobecomes 2 :3. How many pencils does Kathy have at first?

Ans: jtfSm]

9. The cuboid below is formed with 4-cm cubes. What is the volume ofthe cuboid?

4cm

/ y ' y A/ X / / Atgj«

i'l

Ans [3m]

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in this space

r|

10.

11

Devi and Laura took part in a cycling competition. Devi's averagespeed was 400 m/min. When Devi completed the journey in45 minutes, Laura still had 900 metres to cover.

a) Whatwas the distance of the cycling competition?

b) What was Laura's average speed?

Ans: a)

b)

jtm]

[2m]

There are 36 pupils in a class. The ratio of the number of boys to thenumber ofgirls is 5 :4. If 2 more boys join the class, what fraction oftheclass are girls? Express your answer in its simplest form.

£ri§ J3m]

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in this space

12.

13.

A pen costs - as much as a magazine and —- as much as a book. If5 * '

the book costs $14 more than the magazine,

a) how much does the pen cost?

b) what is the total cost of the 3 items?

Ans: a),

b)

.[2m]

[2m]

Mrs Lim baked 480 cheese cookies"and cpcrcolate cookies altogether.She gave 75%'iof her cheese cookies and 50%Lof the chocolatecookies to her mother. She was left with 160 cookies. How manycheese cookies did she bake?

Ans [4m]

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in this space

SS

14. The ratio of the number of 20-cent coins to the number of 50-centcoins to the number of $1 coins in a bag is 2 :6: 7. Given that the totalamount of money in the bag is $156, how many coins are therealtogether?

Ans: _J4ntf

8

Mr

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in this space

15.

Ans: [5m]

I

i Do not writein this space

sr

252 postcards mtheeno. nu

Ans:

10

tf>

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\J5m]

17. Box Ahad | as many beads as box B. A of box A«s beads weretransferred to box B. | of box B's beads were then transferred to boxA. If boxes Aand Bhad 88 beads altogether, how many beads werethere in box A at the end?

Do not writein this space

Ans: J5m]

11

FT

18. Town A and Town B were 395 km apart. At 6 a.m., a car startedtravelling from Town A to Town B at a constant speed of 60 km/h. At6.20 a.m., a motorcycle started travelling from Town B to Town A at aconstant speed of 90 km/h.

a) At what time djd they pass each other?

b) How far away was the car from Town Bwhen it passed themotorcycle?

Ans:'a) J3m]

b)

END OF PAPER

[2m]

12

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^>91Z&

EXAM PAPER 2011

SCHOOL : NAN HUA PRIMARY

SUBJECT: PRIMARY 6 MATHEMATICS

TERM SA1

Qi Q2 Q3 Q4 Q5 Q6 07 Q8 Q9 QIO Qll Q12 Q13 Q14 Q152 3 3 3 1 4 3 3 4 3 1 2 4 3 3

16)0.86 17)225% 18)4

21)5.65 22)125 23)120

26)2h 30min 27)6 28)P and R

Paper 2

19)7y+12 20)D

24)7.49p.m 25)40%

29)45 sweets 30)40 stickers

l)breadth->(60%)->18cm 2)3 -r 4/15 = 11R 1Length(100%)->(18/60 x 100)cm He can make a maximum of 11 headbands

=30cm

Perimeter*18cm+18cm+30cm+30cm

=96cm

The perimeter of rectangle is 96cm

3)6X + 3 = 7X-5 4)area of shaded figure->(V2 x 2 x 8)cim->6X +3 + 5 = 7X = 8cm2

=6X+8 = 7X The area of the shaded figure is 8am

X ->8

6X +3 = 6x8 + 3 = 51 cards

Ray has 51 cards.

5)80%-->$56 6)7u —6u = lu100°/o-->$56/80 x 100 = $70 lu^lO

The original price of the pair of jeans 5u-»50

is $70 Mary had 50 sweets at first

7)a)Jack-»80 7)b)total->8p + 16p + 16p - 7Samuel->16p = 40p - 7Dave-»16p —7 They had (40p —7 )marbles altogetherDave have (16p —7 )marbles.

page 1 to 3 pagel

s-»

<*

8)9u - 4u= 5u5u-*30

lu-*6

9u-*54

Kathy has 54 pencils at first

10)a)D^(S xT)m = (400x45)m= 18000m

T-*45min

S-*400m/minThe distance of the cycling competitionis 18000m.

b)D->18000m - 900m = 17100mS-*D/Tm/min = 17100/45= 380m/min

Laura's average speed is 380m/min

12)a)22u - 15u = 7u7u->$14lu^$2Pen (6u)-»$2x6=$12The pen cost $12

b)total (15u+6u+22u=43u)-*43 x $2 = $86

The total cost of the 3 item is $86

14)1 set*(2 x 20c)+(6 x 50c)+(7x$l)= $10.40

There are ($156 4- $10.40=15)sets altTotal no. of coins-*15 x (2+6+7)=225

9)Length-*4 x 4cm = 16cmBreadth-*2 x 4cm = 8cmHeights3 x 4cm = 12cmVolume-*(16x8xl2)cm3 = 1536cm3

The volume of the cuboid is 1536cm3

11) Beforetotal-*36

boys(5u)-*5/9 x 36 = 20girls(4u)-*4/9 x 36 = 16

After

girls-*16boys-*20+2= 22total-*16+22 = 38

16/38 = 8/198/19 of the class are girls.

13)3A of cheese cookies +V2 of chocolatecookies-*480 — 160 = 320

1A of cheese cookies + V2 of chocolatecookies-*160

% - V4 = 2/42/4 of cheese cookies-*3 20 - 160=160total cheese cookies-* 160 x 2 = 320She baked 320 cheese cookies.

15) unshaded part of rectangle3p4.5u

5u -r 3p= 2u - lp-*5u-3p + lp = 2u-*5u - 2p = 2u

3u-*2pArea of square-*(6x6)cm236cimShaded part-*36cim-i-4 = 9cm2The area of the shaded part is 9cim

unshaded part of squarelp1.5u

16)175% xJ-*25275% x J-*252/175 x 75 =10890u-*108

400u-*108/90 x 400 = 480Cindy had 480 postcards at first.

17)22u^8813u-*88/22 x 13 = 52There were 52 beads in box A in theend.

Page 2

18)a)20min = l/3h1/3 x 60km = 20kmCombined speed-*60km/h + 90km/h = 150km/hTotal distance-*395km - 20km = 375kmTime taken for them to meet-*375/150h = 2 h 30 min2 h 30 min after 6.20a.m. = 8.50a.m.

b)6 a.m. to 8.50a.m. = 2h 50min = 2s/eh(25/6 x 60)km = 170km395km - 170km = 225km

Page 3

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