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METHODIST GIRLS' SCHOOLFounded in 1887
}j%M®lt
PRIMARY 6 MID-YEAR EXAMINATION 2011MATHEMATICS
PAPER 1
(BOOKLET A)
Total Time for Booklets A and B: 50 minutes
INSTRUCTIONS TO CANDIDATES
Do not turn over this page until you are told to do so.Follow all instructions carefully.Answer all questions.Shade youranswers in the Optical Answer Sheet (OAS)provided.The use of calculators is NOT allowed.
Name:
Class:
Date:
Primary 6.
5 May 2011
( )
This booklet consists of 6 printed pages including this page.
69
Questions 1 to 10 carry1 mark each. Questions 11 to 15 carry2 marks each. Foreachquestion, four options are given. One of them is the correct answer. Make your choice(1,2,3 or 4). Shade the oval (1.2,3 or4) on the Optical Answer Sheet (20 marks)
Mrs Tan had m sweets. She gave 10 sweets to her neighbour.She then shared the remaining sweets equally between her two sons.How many sweets did each son receive?
(D(2)
(3)
(4)
/n-(10 + 2)
(/n-10)«*-2
(10-m) + 2
10-(/n*2)
The figure below is not drawn to scale. AB, CD and EF are straight lines. Find z.s.
(1) 44°
(2) 46°
(3) 54°
(4) 56°
In the figure below, not drawn to scale, ABCD is a trapezium and AB // EF.z r + z. s= z + z. v.
(1) t
(2) u
(3) V
(4) w
(Go on to the next page)
4 Which of the following nets will form a pyramid?
(1)
(2)
(3)
(4)
5 80 tens. 88 tenths and 8 thousandths is
(1) 80.808
(2) 88.808
(3) 800.808
(4) 808.808
(Go on to the next page)
7/
\ ofXtsequaltof ofY. WhatisY:X +Y?
(1) 2:3
(2) 2:7
(3) 5:7
(4) 5:9
Express 0.25% as a decimal
(1) 25
(2) 2.5
(3) 0.025
(4) 0.0025
8 Find the value of 7 x (34 -28) -24 + 2.
(D 9(2) 30
(3) 44(4) 93
9 Complete the following number pattem:
4400, 2200, 6600. , 9900, 4950
(1) 1100(2) 3300(3) 4400(4) 5 500
2210 Rnd the diameter ofthe circle ifits circumference is132 cm. (Takew-7 .)
(1) 12 cm
(2) 21 cm
(3) 42 cm(4) 84 cm
(Go on to the next page)
211 In a bookstore, g ofthe booksare Chinese books.The rest of the books are in English.2g of the English books arenon-fiction.What fraction of the books are English fiction books?
(1)
(2)
(3)
(4)
_2_15
_7_15
A_45
H45
12 Malcc4mliadblueandredmarolesintrieratio7:2. After he had given away 15 bluemarbles, the ratio of blue marbles to red marbles became 2:1. How many marbleswere there altogether at first?
(1) 18
(2) 27
(3) 30
(4) 45
13 The length of a square is 1.0cm. Rnd the percentage increase in the area of thesquare if each side is increased by 20%.
(1) 20%
(2) 40%
(3) 44%
(4) 80%
(Go on to the next page)
73
14 The figure below, not drawn to scale, is formed by a semicircle and two,quadrants in a22 %
rectangle. Rnd the perimeterof the shaded part (Taken=y.)
(1) 330 cm
(2) 420 cm
(3) 540 cm
(4) 750 cm
210 cm
15 Mr Wong left his house for work at 6.50 a.m.His office was 120 km away from his house.MrWong drove his car at a speed of 80 km/h.At what time did he reach his office?
(1) 7.30 a.m.
(2) 8.00 a.m
(3) 8.20 a.m
(4) 8.40 a.m
End of Booklet A
METHODIST GIRLS' SCHOOLFounded in 1887
tasJMSK
PRIMARY 6 MID-YEAR EXAMINATION 2011MATHEMATICS
PAPER 1
(BOOKLET B)
Total Time for Booklets A and 8: 50 minutes
INSTRUCTIONS TO CANDIDATES
Do not turn over this page until you are told to do so.Follow all instructions carefully.Answer all questions.Write your answers in this booklet.The use of calculators is NOT allowed.
Name:
Class:
Date:
Primary 6.
5 May 2011
_( )
Paper 1Booklet A
Paper 1Booklet B
Paper 2
TOTAL
This booklet consists of 8 printed pages including this page.
/ 20
/ 20
/ 60
MOO
7*
Questions 16 to 25carry 1 markeach. Write your answers inth^ spaces provided.Forquestions which require units, give youranswers in the units stated.
(10 marks)
16 Glen is facing west. He turns anticlockwise to face north-east. What angle does heturn?
Ans:
17 In the diagram below, what is the least numberof small squares that must be shadedsuch that line AB is the line of symmetry?
Ans:
(Go on to the next page)
18 Evaluate 2.99 * 3. Round off your answer to 2 decimal places.
Ans:
19 3Amy and John have 56 stamps altogether. The numberofstamps that Amy has isg ofJohn's stamps. How many more stamps does John have than Amy?
Ans:
20 A:B:C = 2:5:7andB:D = 2:3. Whatis A: B : C : D?
Ans:
(Go on to the next page)
77
21 The ratio of the number of boys to the number of girls is 3 :5. If there are 24 fewerboys, how many children are there in the class?
Ans:
22 A boutique was having a 20% storewide sale. Mandy bought 2 dresses which originallycost $80 each. How much savings did Mandy enjoy?
Ans: $.
23 $395 259 was collected during the sale of books at a book fair.Expressthe amount collected to the nearestten thousand dollars.
Ans: $
(Go on to the next page)
24 What is the missing number in the box?
8x7+40-5-1 1=64
25 . The average speed ofa train is 180 km/h.How far will. It travel in 20 minutes?
Ans:
Ans: km
(Go on to the next page)
79
Questions 26 to 30 cany 2 marks each. Show your working clearly in the space beloweach question and writeyouranswers in the spaces provided. For questions which requireunits, give your answers in the units stated.
(10 marks)
26 Sandra and Bridget saved a total of $y.Sandra saved $5 less than Bridget<a) Express the amount Bridget saved in terms of y(b) If y = $80, how much did Bridget save?
Ans: a)$j
b)$„
27 The following figure is not drawn toscale. ABCD is a rectangle that is folded along CE.Given that Z ECF = 28°, find
W Z DEFOT* Z BCF.
Ans: a)
b)
(Go on to the next page)
28 Below are two different views of a cube with sbc faces.
Based on the two views of the cubes shown, complete the net of the cube below.9
♦ •
:__. _.
• • •
29 Apples were sold at either 3 for $1 or 40 cents each.What is the least amount of money Farah needs to buy 32 apples?
Ans: $
(Go on to the next page)*/
30 Eliza usually jogs at an average speed of 100 m/min and takes 24 minutes to reach thepark.If she jogs at 20 m/min slower than her usual speed, how much longer will she take toreach the park?
Ans: _min
End of Paper
METHODIST GIRLS' SCHOOLFounded in 1887
KE£7M©*j
PRIMARY 6 MID-YEAR EXAMINATION 2011MATHEMATICS
PAPER 2
Gviration: 1 h 40 min
INSTRUCTIONS TO CANDIDATES
Do not turn over this page until you are told to do so.Follow all instructions carefully.Answer all questions.Write your answers in this booklet.The use of an approved calculator is expected, whereappropriate.
Name:
Class:
Date:
Primary 6._
5 May 2011
( )
This booklet consists of 14 printed pages including this page.
*3
'Questions 1 to 5 cany 2 marks each. Show your working clearly and write your answers inthe spaces provided. For questions which require units, give your answers in the unitsstated. (10 marks)
1 In the diagram below, not drawn to scale, ABCD is a trapezium.AB is parallelto DC. CE and BE are straight fines. Rnd Z BEC.
'134°
Ans:
2 Add 2 more faces to complete the net to form a prism. Make use of the lines givenand a ruler.
ft-' i 1 1i ~4~-
!
V-*. J
I
f •«.-»•.,•- **r --n.--'•'
.: 1
t
it
t
... - .. .... .-,,..
:
........ ..-.-••<•»•>. -.-. ,.y
:
\
:
•- •-*• -
i:
|~--.~ -
.,.
:
,
•
;_ >
J
y
IJ•
'-•"•
"
—
I
!
';
1
I1
1 J» 1
... .V-..1i 1
• •-*--*. r t ..........-h [-*---,
(Go on to the next page)
3 Bemie and Ahmad shared the cost of a meal. Bemie paid $15. If Bemie paid $2 less,Ahmad would have had to pay 20% more. What was the cost ofthe meal?
Ans: $
In the figure below, not drawn to scale, A is the centre of the circle.The diameter ofthe circle is 12 cm.What is the perimeter ofthe figure shown below? (Take n =3.14.)
Ans: cm
(Go on to the next page)
2S
Irian and Jason jogged from the school to the swimming pool along the same route.Jason started his journey ten minutes later than Irian.Irtan jogged 4 km at an average speed of 3 km/h for the whole journey.Both ofthem arrived at the swimming pool at the same time.What was Jason's average speed?
Ans: j km/h
(Go on to the next page)
For questions 6 to 18, show your working clearly and write your answers in the spacesprovided. The number of marks available is shown in brackets I ] at the end of eachquestion or part-question. <50marks)
2 33 ofAli's story books wasthe sameas g of Raju's story books.(a) Who had more story books?(b) If Afi had 100 fewer books, how many books would AGhave?
AAS $X
The figure below, notdrawn to scale, showsa square anda rectangle that are'ovedayppina ^ach other.Thejareabfthe square tothe area ofthe rectangle is2:5.The ratio of the area of the square to the area of the shaded part is 5: 2.Ifthe shaded area is 10 cm2, find the areaof the unshaded part of the figure.
Ans:
0)
_[3]
(Go-on to the next page)
*7
8 In.the figure below, not drawn to scale, G is the centre of the circle.AB, CD, DE, EF are straight lines. Z CGE is twice the size of Z AGC.ZABD = 123°.
(a) Name the angle which is the same size as Z CAG.(b) Find the value of Z GAG.
<Jr
Ans: (a)
(b)
Hi
Pf
(Go on to the next page)
The figure below, not drawn to scale, is made up of a semi-circle and a rectangle.M is the mid-point of AB. AC and BDare straightlines.
22Find the area ofthe shaded part. (Take it=-y)
36crp
24 cm
Ans: 13]
10 David bought 120 purple and green pencil cases.Each green pencil case cost $2.50 and each purple pencil case cosf$1.75 eaeh.If the total cost of the pencil cases was $246, how many green pencil cases did he buy?
Ans: t3]
<feo on to the next page)
S?
8
11 Melissa had $28.20 at first. She used that amount of money to buy 3 identical pencilsand 5 simitar books. If she had used that amount of money to buy 1 pencil and 2books, she would have received $17 change.(a) What is the cost of 1 pencil?(b) What is the maximum number of books shecan buy with $40?
Ans: (a)_ .[31
(b) [2]
(Go on to the next page)
"212 A dining chair costs j as muchas a dining table.Mr Lim bought'a dining table arid 6 dining chairs.The dining table costs $q.(a) How much did Mr Lim pay altogether, in terms of q.(b) If q = $700, how much did Mr Lim pay?
Ans: (a)_ J2]
<b) __.[2J
13 26%"bf the people who attendeda party were children. 4&fc of the adultswere men.There were 240 more men than children. How many Women were at the party?
Ans. [3j
(Go on to the next page)
91
10
14 Keith had some toy cars. He lost-a^of his to^/tars and his mother bought himanother 9 toycars. The next day, he gave O-itr of.his toy cars tohis best friend andhad 75 toy cars left How many toy cars did Keith have at first?
Ans: [4]
(Go on to the next page)
11
15 Town A and Town B are 760 km apart.At:9,40 a.m., Gopal set off from Town A to Town B at a constant speed of 80 km/h.Half an hour later. Baron set off from Town B to Town A at a constant speed which is10 km/h slower than GopaFs speed.What time will they meet each other along the way?
Ans: [4]
(Go on to the next page)
93
12
16 In an amusement park, there were ^ asmany girts asboys. After 20 boys left thatparte and 12 girls entered the parte, the ratio of boys to girls became /(a) Howmany girls were at the amusement parkat first?(b) How many children were at the amusement parte at the end?
Ans: (a) [3]:
(b) j m
(Go on to the next page)
13
317 In an examination,-92% ofthe candidates passed. 72ofthe failures were boys and 5of the failures were girls. 1380 girts passed the examination.(a) What was the total number of pupils who sajfcr the examination?(b) What percentage ofthe candidates jvho ftasseejthe examination were boys?
Ans: (a) i. ^3]
<b). _[2]
(Goq/nto the next page)
9B
14
18 The figure below is not drawn to scale. AK = BC = CF = £F = DH = 7 cm.BCJK and EFGH are identical squares. ABK, AFJ, DEH and CDG are quarter circles.
22Rndthe total area ofthe shaded figure. (Take it=y.)
Ans: 14]
End of Paper
^eKve^
EXAM PAPER 2011
SCHOOL : MGS PRIMARYSUBJECT : PRIMARY 6 MATHEMATICS
TERM SA1
m. _Q1 -01 _Q± _Q_L _Q6 .QZ. _Q8 09 jQIO Qll 012 513 Q14 _Q15
16)225°
21)96
26)a)$(y+5/2)b)$42.50
17)3
22)$32
27)a)124b)34°
18)1.00
23)400000
28)
19)14 20)4:10:14:15
24)5 25)60km
29)$10.80 30)6 min
» «
.*0
Paper2
1)ZBAD = 180° - 134° = 46°Z BFA = 180° - 118° = 62°
ZABF =180° -46° -62° =72°
ZBEC = ZABF = 72°
2) ji
...j—±._._ . . _._... 4-
• -• •-.^..k- j-i.. ....
•- f j •-! •
J ,
i
i •
V / Ifi \' 5±: .. i
1JL.JL L
3)20%-->2100%->2 x 5 = 10
10 + 15 = $25
4)12 -5- 2 = 6 (r)6/8x3.14x12 = 28.2628.26 + 6 + 6 = 40.26cm
5)4 -a- 3 = li/311/3-10/60 = 11/64 -5- li/6 = 33/7km/h
6)a)Rajub)l/9->100
9/9-» 9 x 100 = 900
Page 1 to 3 pagel
97
7)4u-»10 8)a)ZGCAlu->10 -5- 4 = 2.5 b)71°27u-»2.5 x 7 = 67.5
The area of the unshaded part is67.5cim
9)24 •£- 2 = 12 10)48 green pencil cases1/4 x 22/7 x 12 x 12 = 1131/7V2 x 36 x 24 = 432
432-^2 = 216
216^- 2x3 = 324
324 + 113i/7 = 437i/7CimThe area is 437i/7Cim
ll)cost 12)a)q + 7 = q/73p + 5b->28.20 q/7 = l^ = 19q/7lp + 2b-> 28.20 -17 = 11.20 Mr Lim paid $(19q/7)2p + 3b-»17 b)700^ 7 = 100lp + lb-»17 -11.20 = 5.80 100 x 19 = 1900
lb^11.20 - 5.80 = 5.40 Mr Lim paid $1900a)lp->5.80 - 5.40 = 0.40
The cost is $0.40b)40 -5- 5.40 = 7R2.20($)
She can buy 7 books
13)4u->240 14)3/4 ->75lu->240 -r- 4 = 60 Vk ->25
llu->60 x 11 = 660 4/4->100There were 60 women at the party 100-9 = 91
91 -5- 7 X 10 = 130
Keith had 130 toy cars at first
15)lh->80 + 70 = 150 16W>3u + 12 = 3/7
760-40 = 720 8u-20
720 -S- 150 = 4 R 120(km) 7(3u+12) = 3(8u-20)+21u+84120/150 = 4/5 = 24u-60
44/5h = 4h 48min 84 + 60 = 24u - 21u
144 =3u
1010b 4h 1410h 48min 1458h 3lH>144
i 1 i lu->48
48 x 3 = 1441 i l
1458h = 2.58p.m. There were 144 girlsThey will meet at 2.58p.m. b)48 x 11 = 528
528 + 12-20 = 520
There were 520 children
Page 2
17)a)4u-»72lu-»72 -7- 4 = 18
125u-»125xl8 = 2250
The total number was 2250 pupils.b)115u^l8 x 115 = 2070
2070 - 1380 = 690
690/2070 x 100% = 33i/3
18)V4 x 22/7 x 7 x 7 = 38.57 x 7 = 49
7 + 7 = 14
V4 x 22/7 x 14 x 14 = 154154-38.5-49 = 66.5
66.5 x 2 = 133
The total area is 133cm2
Page 3
99
