Anglo-ChineseSchool (Junior)logicalroot.com/SingaporeMath/Grade6/2011-P6-Math-SA1-ACSJ.pdf · Thursday 12 May 2011 50 min INSTRUCTIONS TO PUPILS DO NOTTURN OVERTHE PAGES UNTIL YOU

Anglo-Chinese School(Junior)

SEMESTRAL ASSESSMENT 1 (2011)PRIMARY 6

MATHEMATICS

PAPER 1

Booklet A

Thursday 12 May 2011 50 min

INSTRUCTIONS TO PUPILS

DO NOT TURN OVER THE PAGES UNTIL YOU ARE TOLD TO DO SO

Follow all instructions carefully.

There are 15 questions in this booklet.

Answer ALL questions.

You are not allowed to use a calculator.

Name * .( )

Class: 6.( )

Parent's Signature:.

This question paper consists of 8 printed pages. (Inclusive of cover page)

ACS(J)P6MASA12011 A1

i/9

loX

Questions1 to 10 carry 1 mark each. Questions 11 to 15 carry2 markseach.For each question, four options aregiven. One of themis the correct answer. Make yourchoice (1, 2, 3 or 4). Shade the oval (1, 2, 3 or 4) on the Optical Answer sheet. (20marks)

1 625 978 is 10 000 more than

(1) 525 978

(2) 615978

(3) 624978

(4) 635978

- of X is equal to - of Y. What is the ratio X: Y ?3 4

(1) 1 :3

(2) 2:3

(3) 3:4

(4) 4:5

A car travels 85.5 km on 5 £ of petrol. How far does it travel on 3 £ of petrol?

(1) 17.1 km

(2) 28.5 km

(3) 51.3 km

(4) 80.5 km


There are 115 pupils in a school's badminton CCA. There are 23 more boys thangirls. What isthe ratio ofthe number ofboys to the number ofgirls?

(1) 2:1

(2) 3:1

(3) 3:2

(4) 4: 1

The average amount oforange juice in 4 jugs is 11 650m£. The average amountof orange juice in 3 of the jugs is \t 50ml. What is the amount of orange juicein the fourth jug?

(1) 600 ml

(2) 2 £100 ml

(3) 3£450m£

(4) 61600 ml

An MP3 player cost $80. Bala bought it at a 20% discount during a sale. Howmuch did he pay?

(1) $16

(2) $48

(3) $64

(4) $72

ACS(J)P6MASA12011 A313.1

Rnd the area of the unshaded figure below (Rgure hot drawn to scale).

(D

(2)

(3)

(4)

4 cm

16 cm2

32 cm2

60 cm2

2 cm

8 Given that XY is the diameter of the circle (not drawn to scale), what is the areaof the figure? Leave youranswers in terms of k.

0)

(2)

(3)

(4)

75k cm

lOOjccnr

30Cbc cm2

400jc crrr


in the figure shown below (not drawn to scale), AB and CD are straight lines.RndZk

(1) 37°

(2) 43°

(3) 45°

(4) 47°

10 If Creighton makes a 270° clockwise turn, he would face North-West. Where willCreighton face ifhe makes a 135° anti-clockwise turn from the original position?

NW

W

SW

(1). West

(2) East

(3) South

(4) North

ACS(J)P6MASAI 2011 A5

•v3

11 The figure below shows the net of a cube. If B is the top of the cube, which oneof the faces A, C, D, E or F is the base of the cube?

(1) A

(2) D

(3) E

(4) F

B

12 Melissa took 10 minutes to cycle the full distance from her home to the park.

When she jogged - of the distance from her home to the park and cycled the

remaining distance, she took16 minutes for the whole journey.

How long would Melissa take ifshe jogged the full distance to the park?

(Assume that she jogged and cycled ataconstant speed)

(1) 10 minutes

(2) 24 minutes

(3) 32 minutes

(4) 40 minutes


13 All spent a total of 16 hours working on a school project. He completed it in 5days. If All spent an equalamount of time each day on the project, how manyhours would he have spent per day?

(D if I.

(2) si h

(3) 3| h

(4) 4i h

14 Ahmad, Betty and Charlie shared $700 in the ratio 3:4:7. Betty used - of her

share tobuy a dress. How much money had she left?

(1) $50

(2) $100

(3) $125

(4) $150

ACS(J)P6MASA12011 A7 |XS

15 In the figure, O is the centre of the circle. If - of the figure is shaded, find the6

perimeter of the unshaded part. (Correct your answer to the nearest wholenumber.)~ 22(Taken — )

(1) 108 cm

(2) 110cm

(3) 152 cm

(4) 174 cm


.i>

BIWE^TRAL ASSESSMENT i&M%

Thursday

Booklet B

60 min

do urnwmcmR themmmim^^^"^w^*®Follow a1&^^

There an*1S Questions in 1his#ooktei

Answer A&L questions.

You arsigtNMJweo* to use** calckititbr

Name: -- - » • - -— '(

Class :6.( )

Parents Sigtsatiw-e:^--.

) Booklet Marks

MarksObtained

A 20

B 20

TOTAL ! 40.,. ::—\—

This cpe^Wi*aper consists of7eriiitS* pages. (Inclusive of coversAGS (J)tGMASA1 2011 B1

n7

Questions 16to25 carry 1 mark each. Write your answers inthe spacesprovided. Forquestions which require units, giveyour answers mtheunits stated. (10 marks)

16 How many eighths are there in 1—?

Ans:

17 Johnny started cycling at 11.35 p.m. If he reached his destination at 2.14 a.m. the nextday, how long was his journey?

Ans: . hr mm

18 James has$48. Ryan has$10 more than James. What is the average amount of moneythey have?

Ans:$

ACS(J)P6MASA12011 B2

Sub-total:

4\V

19 The figure below (not drawn to scale) is made up of 2 identical semi-circles and a square.The area ofthe square is 196 m2. What is the area of the figure?

22(Takeic= —)

Ans:. jmf

20 Amy bent a piece of wire to form the shape below. It consists of 2 identical semi-circlesand a horizontal line. Rnd the length of the wire. (Take k =3.14)(Rgure is not drawn to scale)

25 cm

Ans: cm


Sub-total:

z9

21 In the figure below (not drawn to scale), find value ofZw

22 Express 4— as a decimal.8

Ans:

Ans:_

23 A cellphone costs $540 before GST. IfAlihas to pay 7% GST, how much does he haveto pay altogether?

Ans:$_

ACS(J)P6MASA12011 B4Sub-total:

24 For every 6cupcakes Azra baked, she also baked 5curry puffs. If she baked atotal of66 cupcakes and puffs, how many curry puffs did Azra bake?

Ans:

25 Debbie has 25%more hair pins than ribbons. If she has 36 ribbons, how manyhairpinsdoes Debbie have?

Ans:

ACS (J) P6 MASAI 2011 B5

Sub-total:

in

Questions 26 to 30 carry 2marks each. Show your working cleariy in the space provided foreach question and write your answers in the spaces provided. For questions which require unitsgive your answers in the units stated. (10 marks) ^ '

26 Vinod had 480 stickers. He gave - to his sister and shared the rest equally with 3otherfriends. Howmany stickersdideach friend receive?

27

Ans:

In the figure below (not drawn to scale), ABCD isa parallelogram and QRST isa squareIf BC // RS, find ZADQ

A

Ans:


Sub-total:

rt*

28 . The table below shows the rates of parking charges at a car park.

1s1 hour $2Every subsequent 5 minutes $0.10

If Mr Zhou paid $3.30 forhis parking fee, howlong did he park his car at the car park?

Ans: hr min

I 329 There are 215 beads in a pouch. - of them are red beads. — of the remainder are

5 4

green beads and the rest are blue beads. How many blue beads are there in the pouch?

Ans:

30 Dave and Hock Heng share 495 marbles in the ratio 8:3. How many more marbles doesDave have than Hock Heng?

ACS(J)P6MASA12011

END OF PAPER

B7

Ans:

Sub-total:

/3 *

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jvb^vr

tti^pSSviifi*lV4;*triHiSS?^ is?.w&>f

:£-;^*s?i^^;^ _- •£v±-<iv£c-'^£t-'~':-Z:tZ;-'* i'-v'r•*•;',<' » -^••••.•r;. o.'.-.^;. *»..-.*; ••£'5 -"~',\ is. .$•:•- •.?-i;CM3lMMIlSI3E'BK^ClU^ »-.••-'- • -';; ;i-.v...-.-.- •.•;'.

r'ytf?-.'>::

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sas&fe

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1^hr-4S:min-'

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-.ft1*

Questions 1 to 5 carry 2 rnarks each. Show your working clearly in the spaceprovided for each questfon and write your answers in the spaces provided. Forquestions which requireunits, give youranswers in the units stated. (10 marks)

In the diagram below (not drawn to scale), AB // CD and AB = AD.Rnd Zy

B

Ans:

A jacket cost 4 times as much as a skirt. The skirt cost $12.60 more than a shawl.IfSusie paid $171 for these 3 items, how much did the shawl cost?

Ans:£.

ACS(J)P6MASA12011Sub-Total:

• 3*

Yazid took —h to wrap 4 parcels. He spent an equal amount of time wrapping3

each parcel. At thisrate, how longwould ittakeYazid to wrap 7 such parcels?

Ans: mm.

May received 55% ofthevotes of her class to become Class Captain. If Mayreceived 4 more votes than the other candidate, what was the total number ofvotes?

Ans:


*«•

In an aquarium, there were 121 swordtails. The ratio of the number of maleswordtails to the number of femafe swprdtaiis was 4 : 7. A few days later, 33

2swordtails died, — of which were males. Express the ratio of the number of male

3swordtails to the number of female swordtails left in the aquarium. Give youranswer in the simplest form.

Ans:


iif

Forquestions 6 to 18, show your working clearly in the space provided for each questionand write your answers in the spaces provided.The number of marks available is shown in brackets [ ] at the end. of each question orpart-question. (50 marks)

The length of a rectangle is y cm. The ratio of its length to its breadth is2:1.

a) What is the perimeter of the rectangle? (Give your answer in terms of y)b) Find the perimeter of the rectangle if y = 24cm.

Ans: (a) J2]

0>)_ HI

~7 In the figure below (not drawn to scale), ABCD is made up of 4 identicalrhombuses. Given that AC = DC, find ZEOB

Ans: [3]


iV

8 A rectangular container, measuring 80cm by 50cm by 50cm, was filled with waterto a depth of 40cm. The water was drained out for 14 minutes at a rate of 2£ perminute. What was the new height of the water level after 14 minutes?

40cm

AnsL [3]

— kg of prawns and 2 kg of minced meat cost $52. — kg of prawns and 1 kg ofi • j

minced meat cost $24. Rnd the cost of 1 kg of prawns.

Ans: [3]


'*9

10 The numberof members in a stamp-collectors club increased by 40% from Marchto April. However, the number ofmembers dropped by 25% from April to May. Ifthe difference in the number of members between March and May was 9, howmany members were there in May?

Ans: .[3]

11 Cindy has 650 hair bands, clips and ribbons altogether. The ratio of the numberof hairbands to the number of clips is 7 :5. IfCindy has 30 fewer ribbons thanclips, how many hairbands does Cindy have?

Ans: .13]


I**'

12 The figure below is made up of 1 large circle, 1 triangle and 2 small identicalcircles.The length, of XY is 56 cm and the diameter of the large circle is 40cm.Rnd the area of the shaded part Round off your answer to 1 decimal place.

Ans: [41


ih-i

13 Mr Tok leftTown A for Town B at 11.30 am. He travelled at an average speed of75km/h. At 12.15 pm, Ms Selva left Town A for Town B, travelling On the sameroute at an average speed of lOOkm/h.

(a) At what time would Ms Selva overtake MrTok?(b) After Ms Selva had overtaken Mr Tok, she took another 2 hours to reach

Town B. What was the distance between Town A and Town B?

Ans: (a) 12]

(b) [2]


14 Mrs Lee has 60 pencils to give to her class. Ifshe gives each boy 2 pencils andeach girl 3 pencils, she will have 6 pencils left over. However, if she gives eachboy 3 pencils and each giri 2 pencils, she will have 4 pencilsleftover. How manypupils are there in Mrs Lee's class?

Ans: [4]

ACS(J)P6MASA12011 10

Sub-Total:IV*

15 David used coins to form a series of L-shaped patterns. The first three patternsare shown below.

o

o o

0

0

0 0 0

1st 2nd

(a) Complete the table below.

O

O

O

O O O O

3rd

L-shaped pattern Number of coins

1st 3

2"° 53*. 7

4m5m y

6th11]

th(b) Write down the number ofcoins that David would need to form the 1001pattern?

(c) A pattern is formed with601 coins.Which patternwould it be?

Ans:(b) [2]

(c) [2]

ACS(J)P6MASA12011 11Sub-Total:

»*'

16 There were an equal number of boys and girls at a funfair. After — of the boys

2and — of the giris left the funfair, there were 25 more giris than boys remaining

behind.

(a) How many boys were there at the funfair at first?

3(b) Later 165 more children turned up at the funfair. Then there were — as many

4

boys as giris.What was the total;number of girls present at the funfair at theend?

Ans: (a) [2]

(b) [3]


1*3

17 Daphne had 20% fewer books than Jocelyn. Yan Ming had 8 more books thanJocelyn. IfJocelyn were to give 4 books to Daphne* they wouldboth have anequal number of books.

(a) How manybooksdidthe 3 girls havealtogether?

(b) Yan Ming went to buy some new books. The ratio of books that YanMing had to the ratio that Jocelynhad then became 3:2. How many newbooks didYan Ming buy?

Ans: (a) .[2]

(bi. .[3]


>«V>

18 The ratio of the number of ducks to the number of geese on Farmer Zhou's farmwas 5:6. When Farmer Zhou acquired 242 more ducks, there was an overallincrease of 40% of the totalnumber of ducks and geese he had at first.

(a) How many ducks and geese were there on FarmerZhou's farm at the end?

(b) What was the percentage increase in the number of ducks on FannerZhou's farm?

ACS(J)P6MASA12011

Ans: (a).

END OF PAPER

14

(b)L

Sub-Total:

.[3]

12]

!*?

0fgS2Q£fto.

y<*Iiu6T

EXAM PAPER 2011

SCHOOL : ACS (JUNIOR)SUBJECT: PRIMARY 6 MATHEMATICS

TERM SA1

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

16)9 17)2hr39rnin 3L8)$53 19)350im 20)36.4cm

21)106° 22)4.375 :23)$577.80 24)30 25)45

26)100 27)135° 28)2h 5min 29)43 30)225

PAPER 2

1)48° +48° =96°180° -96° =84°

180° -65° -84° = 31°

2)6u^$17 + $12.60 = $183.60lu-*$183.60 -5- 6 = $30.60SH^$30.60 - $12.60 = $18

3)4 parcels->40min1 parcel->10min7 parcels-^70min

4)55%->ll/201-11/20 = 9/2011/20 - 9/20 = 2/202/20-^420/20->4 x 10 = 40

5)1:3 6)a)y + y +b)y = 24

3y = 24

Viy+

x3 =

V2y =

72cm

:3y

7)60° +60° +30° =150'

9)6/7 = 18/21 1/3 = 7/2118/21p + 2m = $527/21p + lm = $24 \x214/21p+2m = $48J4/21p = $52 - $48 = $421^4 = 5.25

$4x5.25 = $21

8)80cm x 50cm x 40cm = 16000cm32L = 2000cm3

14 x 2000cm3 = 28000cm3

16000cm3 - 28000cm3 = 132000am

132000aii3 -5- 80cm -r-50cm = 33cm

10)March = 100%April = 140%May = 75/100 x 140/1 = 105%5%->9

105%-->9/5 x 105/1 = 189

Page 1 to 2 pagel

i^

study

Rectangle

11)650 + 30 = 68017u->680

lu->680 -M7 = 40

hb->40x7 = 280

l2)Triangle->1/2 x 56cm x 40cm = 1120cm256cm v4= 14cm

Small drde->14cm x 14cm x II = 196ITcm2

2 small circles^196II x 2 = 392IIcm2

40cm -7-2 = 20cm

20cm x 20cm x II = 400IIcm2

Total area->392IIcm2 + 400IIcm2 = 792IIcm2

Shaded area = 792IIcm2 -1120 = 1368.1am

13)a)75kn/h x % = 56.25kmlOOkm/h - 74km/h = 25km/h56.25km ^25km/h = 2.25h = 21Ah12.15pm 2%h ~ 2.30pm

b)2V4 + 2h = 4V4h4V4h x lOOkm/h = 425km

14)2B + 3g = 60-6 = 543B + 2g = 60-4 = 564B + 6g = 54 x 2 = 1089B + 6g = 56 x 3 = 1689B-4B= 168-108

5B = 60

IB = 60^-5 = 12

3g = 54-24 = 30lg = 30 -5- 3 = 1010 + 12 = 22 pupils

17)a)J = 100%D = 80%

Y = 100% + 8

100 - 80 = 20

20 -5- 2 = 10

10%->4

280%->4/10 x 280/1 = 112112 + 8 = 120

b)J = 100% = 4/10 x 100/1 = 40Y = 40 + 8 = 48

Y : J

3 : 2

2u-»40

lu-»40/2 = 203u->20 x 3 = 60

60-48 = 12

15)a)9,11,13b)2xl00 + 1 = 201c)601 -1 = 600

600 -r 2 = 300

16)a)lu->259u-»25 x 9 = 225

b)13u^25 x 13 = 325325 + 165 = 490

3p + 4p = 7p7p^490lp^490 -5- 7 = 704p^70 x 4 = 280

18)a)40%~>24220%->121

140$~>121x7 = 847b)5 + 6 = 11

11/5 x 7 = 15.415.4 = 9.4

9.4-5 = 4.4

4.4/5 x 100% = 88%

Page 2

Documents

Anglo-ChineseSchool (Junior)logicalroot.com/SingaporeMath/Grade6/2011-P6-Math-SA1-ACSJ.pdf · Thursday 12 May 2011 50 min INSTRUCTIONS TO PUPILS DO NOTTURN OVERTHE PAGES UNTIL YOU