2:t-t - esswright - home mathematics 2006.pdf... · -5-no. testitems working colilliin do n at...

22
I I ; -4- SECTIONI Answ er A LI ... ques tions. E ac h que sti on is w orth 1 rria.rk. Show ALL working in th e Wor kin g Column. . ,. ;: ,I ., ., 0.20, 0 .12 , 0.21 t , Answer ) .- , 'l - 4. 3.0 0.5 = ..- Answer 1. 2. 3. 5. TEST ITE :NIS Writ e 0.75 as a common fraction. Answer _ Appro ximate 2 :t-t 13 to the NEAREST hundred. Answer __. _ Write the following numbers .in order of size, starting with the SMALLEST . U se ALL the digits below to make t he LARGEST four di git rrumber betwee n 2 000 and 300 0. WORKlL"TG COLUMN Do Not Writ e Her e KC AT PS ; GO ON TO THE NEXT PAGE : - - .: -: : ::" :JT &T SEA 200 6 .... - ... - .- - -- -_... . .. - - .- - -- -e.-s:_ . _ . •. . . - . - ----- --

Upload: hoanglien

Post on 30-Jul-2018

214 views

Category:

Documents


0 download

TRANSCRIPT

II

;

- 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. . ~ , .

; :, I . ,.,

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

;

GO ON TO THE NEXT PAGE

: - - .: -:: ::" :JT &T SEA 2006

-= ===---:=-~--:-::::::-:-=-- ----- - .... - ... - .- - -- -_.... .. - - .- - -- -e.-s:_. _ . ~ •. .

. - .- ------ -

... .-;. .. .

"

' . '

- 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 _

GO ON TO TP ~: ::, T' " xT PAGE

No.

- 6 -

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'.- ....

GO ON TO THE ~'"EXTPAGE\

04234011/T&T SR.s. 2006

No.

- 8 -

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---

I I I.i

I t -t

-,- ------------~--:------

c~~ . -._c_'""_:~

'-'7';pf.C.;-·-

.",

No. TEST lTETY.LS

-9-

vVORB~TG

COLUIvll-r

DoNatWriteHere

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

I

Ii

'I/

II

I1

I

. GO ON TO THE :NEXT PAGE

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) -

-,

f

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)

GO ON TO TF~ NEXT PA'~~

~.

I

._- '- --- . _.~ . :..:-.

- 11 -

\ 0

\ '.\

- - .. -- ,-.- ._--~-:~..• _ - 0 •• _ • .• • • ; ~ ... . _• • • • . .: . _ •. : • • • • ._ _ •• • _ •• __A...- •• __.~... '

- 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-

-. ..-., "

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)

,

--

- o.

,

GO ON TO 'r.dE NEXT PAGE

- 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~

! !'.

.,..

----_. ,-~--- -------

- 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 ,

I - -.R

S

.~

.' .. .. ,, .YVhich s;hape has the GREATER area? Showhow you, arrived at your answer ,- Answer \ . - , ..

C~imarks)

; - ..~

30. Calculate.

i .,::

,.. m cm >..

-26 54

,- 6 67

...."..Answer .

(2 :marks)

I

.

.

L,'

t

,

\ &" .,~

;-{"

GO ON TO THE NEXT PAGE. \

0423401]jT&T SEA 2011(;

----.-..._--~---_.. -,---- ..--.

7. '''''---..",-,

--~i .~\;

s:z::====== .-....--.-.=--=--=~~------

- 14-

I----...l..--""----------_--l--_,....---j,

DoNat'YTlrite ­Here

KC AT PS

- ..::;. .. '."

\fvORKINGCOLtTh1N

..

I~

. ---

I

, .Iff:.

.0

I I

-­.

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.

I

l

~ .

r-'Ifill:. II', '".

. ','.';.' i!

: if

.. 'Ii "!1';~ !I:I I1/! "lr" .If

, 'ii'

it I1;1

.. il,-• 11._ ill1'1 i

it!; t!

~- I

il·~fi!.:i:

._--- ..:._-_..------~...~~ -._..,.-~.

- _..- ..•. _.. .-.. ... -

- 1.5 -

~-

TEST ITEIvlS WOR.KIN"GDoNatWrite

COLUNlli Here

~'t- ! 1" ••-", .- - .;. -v KC AT PS- ., -24 drawingbooks were bought at $1.00 each and ~ .::-

I. <' ~ .:-.;.. .. :=, -,

sold at 2 for $3.00. What is the PERCENTAGE --

profit? - >- .' i- \ ...

~,

"..,

. v'- ~ ....-,.,

~ Answer %»r: (3 :marks) . --

". ; --"" .

,-, '--, ', .-s. i

- , .-- -v . -.

. -.::._·r:

---~

4. Gary has in his pocket: . ~ ~. - . .7!"~;

,-

two $20 notes -three $10 notesthree $5 notes -

;

-

~ -"'

,-.j<. . >

:.. ..'0" - ~-- - 1.

($89.60 '. "i;," I.

e :.,

! , ,- "."

/~ "-., -".

I \ "\ ...

: ~ ~

Gary wants to buy the shovel shown above. Ho\vmuch MORE money does he need?

.., ." ~'"'~.'" , \

Answer $~~.(3 marks)

r

r

No.

-..- ----_ ... _-"--".~-_.'

- 16-

TEST lTEJYIS WORB:::INGCOLUJYl.L'f

DoJ.VotWriteHere·

KC AT PS

-;;.~_..

r:

no ON '1'0 'T'HR i'TRXT FAGS

lC

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 :

-8.

· ......~.

· ;~

· "..:

DoNatWriteHere

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-"

:!is'--7{~ _ ~__~_"••.. .c. ~_~ ..

,{i~~~~"_c__c ---

39.

No.

L

--- ,,--_.. _-~-~--,

i-a

",..

:;:

.e'-.-

D01VotWriteHere

KC AT PS

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...__._---_... -

.. ---' --~"" ---

-----_.-~--' ......:.;..:.:.;_._.. ---'~:.=.:.-

-r-_!~--""-~._'=="~~:~;;'-:='._:'~=C;~~:_~-~=~~'._~~_' ~ ._-~ ". . ..._.. _. ...__ . ~ .-.-:-..__.... _.__, .

- 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"· ~ •

~..~' . '

WORKINGCOLillvrn

DoNat'WriteHere

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 ;

~ ~Iii:' i:if , j

Ii '1

ItI

"

:1I' i;!I

I"I;:: !",

i'i;: (!.ij ·; ~ ;I19: il'! ~ ! :1

Ii!' j

'!fi ~ !

itI'·:l~

'!'JI

fri !!

iiio!!

- ;i1·;

~f

~ . o '

--."". ;,.

(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

...... '

/'

~==c...:==-== ..:-"._- -,-.----.--.

._----._-

--.,~ --.-_.~:..-~---,,--,#.~ -----

.';:'~~:~';~~~~": ~~:._._::.C_CC~ .~-,~:o.:_~~~_. ': :._'~=" -_~ __~"-:~~~~~ ._~;~~.~~~""'~,---.-

.~."" ..

- 22 -

No. TEST ITEMS WOREINGCOLUJYIN

Do NotWriteHere

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.

o.

. _.

~=...=.=~-=. ..-. ---,---­

---

- 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

. . ..;' .,.

.f' ./r.. .". i~ ..~--

.. !~.--\- - . :~~.. . ~~_. ~.~---

. _ ~: ,~::i~;;;:.L~~.·==-~.~.:: -: _~~~ ·. :~;:~~~::.~· .~~: ~~~~~:~~~~- ~~ . ~~~~~_~~~:~ . ~:.~~~~-.=:::=-=- ~_.:-~~--~'= " :... ;_.~ .'...~~:~..

- 24 -

(

No.

45. (a)

TEST ITEMS'

Identify two transformations which moveA onto C.

WORKINGCOLUNIN ·

~Do Not'WriteHere

,

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"

ft' ~.

iti.i .i~

IF YOU FINlSH BEFORE TIM:E IS CALl;,ED, CHECK YOUR WORK ON TEIS TEST./1 . . .