2:t-t - esswright - home mathematics 2006.pdf... · -5-no. testitems working colilliin do n at...
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II
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- 4 -
SECTION I
Answe r A LI... questions. E ach que stio n is w orth 1 rria.rk.Show ALL working in the Wor king Column. . ~ , .
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0.20, 0.12, 0.21t
,
Answer ) .-, ' l
-4. 3.0 0.5 =
..-Answer
1.
2.
3.
5.
TEST ITE :NIS
Write 0.75 as a common fraction.
Answer ~ _
Appr oximat e 2:t-t 13 to the NEAREST hundred.
Answer __. _
Write the following numbers .in order of size,starting with the SMALLEST.
Use ALL the digits below to make the LARGESTfour digit rrumber between 2 000 and 3000.
WORKlL"TGCOLUMN
Do NotWriteHere
KC AT PS
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GO ON TO THE NEXT PAGE
: - - .: -:: ::" :JT &T SEA 2006
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- 5-
No. TEST ITEMS WORKINGCOL illiIN
Do N atTfTlriteH ere
KC AT PS6. At a su permark et opernng, every fifth customer
is given a prize. If 63 customers enter in thefirst hour, how many prizes would be given out ?
Answer -'- prizes
7. Write the number in t h e box to complete thesentence.
111 + 222 + 333 = 222 x 1__1
8. What number should go ill the circle to makethe operation correct?
oAdd 10
Multiply by 2
Answer _
•
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t·
No.
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TEST ITEMS WORKINGCOLUMN
DoNatWriteHere
19. B'illy earns $7 per hour. How much money willhe earn in 6 hours?
Answer $__--::. _
KC AT' PS
/
10. A bat was bought for $300.00 and sold for$350.00. Calculate, in DOLLARS, the profitmade.
Answer $ _
11. How many 10<;t coins can I get from $6.00?
Answer __--<-- 10¢ coins
12. The cuboid below is made up ofblocks ofvolum.e1 em". What is the volume of the cuboid?
Answer ~__ em3
13. Jeremy did a Maths test in 75 minutes. Howmany hours did he take?
.Answer __~~__ hours,
nL!.').~4-011JT&TSEA 2006------
No. TEST ITEIvlS . WORKINGCOLID/IN
Do NetWriteHere
KC AT PS14. The perimeter of an equilateral triangle is
42 em.
What is the length of Ot-IE side of the triangle?
Answer --'-_ em
15.- Below is a diagram of Bob's vegetable garden.He constructs a fence around it by placing posts2 metres apart. How many posts will he use?
~--10m -,....-~
Answer posts'.- ....
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04234011/T&T SR.s. 2006
No.
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TEST ITEIYIS vVOPJUNGCOLUiYIN
Do J:IotTjflriteHere
IS. 1 How many lines of symmetry are there in thisshape?
Answer lines
KC AT PS
17. Order the angles p, q and r according to sizefrom the LARGEST to-the SMALLEST
4cm
Answer ---'--e-ee----"7-----
18. Study the position ofthe shaded triangles in thesquares below•.
Complete the pattern by shading a triangle inthe last square.
l i'.-F1'J,11111 f'T.R...,'T' SEA 2006---
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No. TEST lTETY.LS
-9-
vVORB~TG
COLUIvll-r
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KC AT PS19. The pie chart shows the favourite colours of 20
students. How many students selected yellow?
- Answer -----'-_ students
20. The pictograph shows the ice cream flavourschosen by a.group of children.
Flayour Number of children'
. Chocolate <\IVv\lvStrawberry vv\l'Vanilla \Iv
If ? represents 2 children, how many childrenchose vanilla ice cream?
Answer ~_ children
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04234011fT&T SE..~ 2006
-'.-._ _._ - -., , -_ .
- 10 -
SECTION II -I
L
:'.
Answer ALL questions. Each question is worth either 2 or 3 marks.Show ALL working in- the Working Column.
TEST ITEMS WORKD.'TG", DoNat
"No. WriteCOLUNIN Here
KC AT PS
21. 1 3Calculate the S'tlID. of 12 and 4'
Answer .(2 marks) -
-,
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22. Kwesi has 6=-red; 8 green, '7 blue and 3 whitespinners. What FRACTION of his spinners isred?
\ Answer- (2 marks)
23. The numbers in the circles below add up to thesame total vertically, horizonpally and diagonally. -
Fill "in the 2 missing numbers. "
0 0) 00) ® 00 (2) 0 (2 marks) i
II
24. Half the sum of two nutnbers is 17, One of thenumbers is 24. What is the other number?
/,,
Answer 1
(2 marks)
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- Do Not- TEST ITEMS WORKINGo. Wr iteCOLUIvIN Here
KC AT PS./
25 . .Mrs Roberts packs lunch for the pupils in her.cla ss . In ev ery lunch box she puts 2 chocolate-biscuit s and 3 sandwiches. Altogether she uses96 sandwiches. How many chocolate biscuitsdoes she use?
...,.~
Answer ~ L..,
(3 marks) r-
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26. I --
I~~\ "\ \
Grace's grasshopper eats 35% of its w eight infood a day. The grasshopper weighs 20. 0·g. ,
(a ) Calculate the grassh opper's d aily f oodintake.
" ~.
Answ er g(2 m arks)
(b) If by midday t he grasshopper eats 4 g offood, what FRACTION of its daily foodintake does it eat?
.-
Answer . -(1 mark)
,
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,
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- 12 -
No. TEST ITEMS WORKINGCOLUJYIN
Do NotWriieHere
KC AT PS
I!
~ kg(3 marks)
jm.swer
Answer $ -'--L- _
3r d I
2-nd
(3 :marks)
-.How much does the first place winner get?
~~~s shared among 3 winners. The first placewrnner gets $5 more thaD. the second ,place
-winner. The second place wmner gets $5 morethan the third place winner.
28.
27. Mother used 3.75 kg offlour to make bread and2.5 kg to make cakes. How much flour is leftfrom a 10 kg bag of flour?
GO ON TO THE N"EXT PAG~
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----_. ,-~--- -------
- 13 -
.' Do NotNo. TEST ITEMS 'YVORKING Write
COLT.J1YfrT Here.
,., KC AT PS29. Below are diagrams of a rectangle, J;\ and· a . .
square, S.,
-...~ -:
'Uem gem ,
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S
.~
.' .. .. ,, .YVhich s;hape has the GREATER area? Showhow you, arrived at your answer ,- Answer \ . - , ..
C~imarks)
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30. Calculate.
i .,::
,.. m cm >..
-26 54
,- 6 67
...."..Answer .
(2 :marks)
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0423401]jT&T SEA 2011(;
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- 14-
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\fvORKINGCOLtTh1N
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Wages($)
1 $150 I
TESTITE.MS
Rate of Pay
TOTAL 535.00 ..
(3 marks)
John ~:;;.~~~ days wages at $45 per day 225.00
(2 marks)Answer' $~_~ _
James 4 days wages at $ t.-'·~I per day 220.00'
Nam.e
Frank 2 days wages at $45 per day
32. Fill In the 3 boxes' below to complete thepaysheet....
~o.
IsJ... A store offers 20% discount on all items.Calculate the price a customer will pay for thepants adverfised in the diagram below.
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- 1.5 -
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TEST ITEIvlS WOR.KIN"GDoNatWrite
COLUNlli Here
~'t- ! 1" ••-", .- - .;. -v KC AT PS- ., -24 drawingbooks were bought at $1.00 each and ~ .::-
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sold at 2 for $3.00. What is the PERCENTAGE --
profit? - >- .' i- \ ...
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~ Answer %»r: (3 :marks) . --
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4. Gary has in his pocket: . ~ ~. - . .7!"~;
,-
two $20 notes -three $10 notesthree $5 notes -
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:.. ..'0" - ~-- - 1.
($89.60 '. "i;," I.
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Gary wants to buy the shovel shown above. Ho\vmuch MORE money does he need?
.., ." ~'"'~.'" , \
Answer $~~.(3 marks)
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No.
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- 16-
TEST lTEJYIS WORB:::INGCOLUJYl.L'f
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KC AT PS
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no ON '1'0 'T'HR i'TRXT FAGS
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Answer cm2 !(1 m.ark)
Answer ~cnr
(1 mark)
4cm----/>~ r ..-, ~< 10 em
<, 1
. Answer --''--'''--_ ern"(1 m.ark)
(c) the shaded region.
(b) the unshaded region
Calculate the area of
On the grid .above draw an isosceles trianglewith a base of 4 units. (2 m.arks)
(a) the rectangle
36.
35~ Below is a rectangle.
l__
No.
rr-:."--
- 17 -
,TEST ITEMS vVORKING. COLUiYlli
DoNatWriteHere
KC AT PS
37. In the game of spin, a circular disc divided intothree equal parts is used. "The pointer .alwaysstarts' at o.
Complete the shape so that the lineAE is theline of symmetry; (3 m.arks)
..""The size ofthe angle turned by the pointeris approximately
~degrees
(1 mark)
______ degrees(l.mark)
Answer
Answer
'. ----=-",
o.
Green Red--- "
~" i,
, ~-JYellow--- ;
(
I
. . - .. . . .. . " "
. , .L . /) : :'BLmeOfSymmetry
(b) Sita spins the pointer and it does not makea complete turn stQ~g in thepillo,wregiWl.
(;3.) ~" "Kevin spins the pointer and it makes O:t\TEcomplete turn stopping at zero". Throughwhat angle did the pointer tum?
A
r :
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KG ATPS
WORKI..N'GGOLTJJYIN
Answer -_,_'~ _a
- 18-
(2 m.arks)
TEST ITEMS
Go:mplete the diagram to show the net ofthe solid.
Name the shape ofme solid formed by thetent.
,The tent is opened to form a flat shape.(b)
(a)
/Y- ,,4-"
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GO ON TO T:ffE NEXT PAC+E
WORKrnGCOLUNlN
- 19 -
(2 marks)
. --.
.....
TEST ITE:NIS
G.am.e Tally Frequency
Cricket"/7.
--"
Football N11 ffil II 12
Basketball N1J rt~j 10
Ifthere are 30 boys in Standard 5, complete th.~tally and frequency chart above.
40. .The incomplete tally chart below shows thefavourite sport of Standard 5 Boys.
No.
. - --.:---,-~~\.:.- ...... _ c...__._---_... -
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- 20 -
SECTION III
Answer ALL questions. Each question is worth 5 m ar-ks.Show ALL working in the Working Column.
No. TEST ITEMS WORK:!J:'TGDoNatWrite
COLUlVIN Here-
-,. ,., KC AT PS,..•. .. - -,
A radio station spends'; of its bro~dcast time.-:: -
4l. "--"- '.
on music and; of its time on news. . ,...~.. ~';:::..~:-
7!~1 \:.- _.'.,
(a) What fraction of the total time is spent on -, -,.r
music and news, together? , ..,.:.." .. ,
" ,."" "0
-Answer . -
(1 mark) ......,
(b) The remaining time is spent on other 1, I" . -features. What percentage of the time isspent on other features?
,.
Answer %(2 marks}
(c) Andy complained to the station that theyspend more tirne on other features than
.' on news. Is he correct? Use calculation to.support your answer.
" .
- ..Answer
i \ , (2 marks)I ,\
-,,
II j
t__
.,_ ... :I •• •
... :: _'.~...;:-- -- --- .
- 21 -
TESTITElYIS
The table below gives the number of calories inONE serving of food:
I"· ~ •
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WORKINGCOLillvrn
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KC AT PS:ig
TABLE 2
(a) Bnan chose a meal made up of the foodsshown below. Galculate the number of
'-calories in Brian's meal.
Number of Calories per serving!i;1;:
,I I ;
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(2 m.ark.s)
2
4
1
Number of Servings
Answer
200
TABLE 1
Brian's Choice .
Cucumber
Chicken
Rice
Food
Cucumber
Carrot
Chicken
Rice
Food
(b) Nathanhas a meal consisting of665 calories.. Select from the foods in table 1 above tocomplete the table below to.show one possiblemealth at Nathan had..
Nathan's Meal
F ood Num.berofServings
Number ofCalories
C~c:..\~(
~ UL
c.u.o.t."J',i)CD.m:;~
I1
Total 665
(3 m.arks)
. GO ON TO THE l't~.IT PAGE
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- 22 -
No. TEST ITEMS WOREINGCOLUJYIN
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The square w-xYZ below, has been divided intoeight equal parts.
. (d) What is the length of the base, PQ, of theshaded area?
KC AT PS
- em(2 marks)
y, R
Answer --"-_
z
43.
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---
- 23 -
TEST ITEMS vVORKINGCOLlTh'lN
Do N otWriteHere
KC AT PS
~. . An 'a qu arium when it is ~ full holds 9litres ofwater. -
t ,
(a) If 1 litre = 1000 em", how many litres ofwater will the aquarium:hold when full?
Answer ---, litres(2 marks)
(b) What is the height of the aquarium if it is40 em long and 20 em wide? • I
j : , 'r
Answer __--: \
GO ON TO THE NE"XT :_-:.2
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- 24 -
(
No.
45. (a)
TEST ITEMS'
Identify two transformations which moveA onto C.
WORKINGCOLUNIN ·
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KC AT PS ! ;:
BA
+(i).c
The transformation that moves A onto B
is --,_.,---~---...--~--
(1 :mark)
The transformation that moves B onto C
d mai-k)
..-(b) Draw the NEXT TWO shapes to continue
the pattern.. ..,..
DOOODraw shapes
above this line
(1 mark)
(c) What transformation moves one shape tothe next one ill the sequence
Ao.swer -'-- ~'" _ _'.~- _(1 mark)
.~
o. TEST ITEMS
- 25 -
vVORKINGCOLUIvIN
DoNatWriteHeTe
KC AT PS
.-.i .... _;:- .. -_.
!,s. In three cricket innings Chris scores 35 runs,22 runs and 93 runs respectively.
(a)
(b)
Chris' mean score is?
Answer-----~~---
(2 m.arks)
How many runs must he score :in his nextinnings in order to raise his mean score to60?
AJJ.swer _-'--__..,.--(3 m.arks)
.....
END OF TEST"
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IF YOU FINlSH BEFORE TIM:E IS CALl;,ED, CHECK YOUR WORK ON TEIS TEST./1 . . .
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