Your name (in full) .................................................................................................................................................................................................................................

Your candidate number ......................................................................................................................................................................................................................

Name of your present school ........................................................................................................................................................................................................

this paper must not be taken from the examination room

KING EDWARD’S SCHOOLB I R M I N G H A M

Admission Examination 2011

A B C

MATHEMATICSTime allowed: One hour

• Aimtocompleteasmuchasyoucaninthetimegiven,withoutmakingmistakes.

• Don’tstartSection CuntilyouhavedoneasmuchasyoucanonSections A and B.

• No calculators, calculator watches, or pencil-cases with tables are allowed.

1

A1. (a) Whatnumberis1000morethan56821?

Answer____________________

(b) Whatnumberis0·02morethan16·99?

Answer____________________

(c) Whatisthesmallestwholenumberthatyoucanmakeusingthe digits4,3,9and1?Useeachdigitonlyonce.

Answer____________________

(c) Istartcountingat19andgoupto89.Itakeonesecondtosayeachnumber.HowlongdoItakealtogether?

Answer____________________

(d) Whatnumbermustbeaddedto79togivetheresult2100?

Answer____________________

3. (a) 25318 ismorethan 24318 Howmuchmore? Answer____________________

(b) 749834= Answer____________________

2. (a) 8 8 8 8 6 6 6 6 4 4 4 4 2 2 2 2

6 6 6 6

1

2. (b) 5 4 3 2 1 2 1 2 3 4 5

6 0 6 6 6

2

3. (c) 546337=

Answer____________________

(d) 108048=

Answer____________________

4. (a) Whatishalfof79? Answer____________________

(b) Whatis75%of40? Answer____________________

(c) Whatis40%of75? Answer____________________

(d) Whatis125%of24? Answer____________________

(e) Thereare55applesinabox.40%ofthemareredandtherestaregreen.Howmanygreenapplesarethereinthebox?

Answer____________________

1.2.

3

5. (a) Howmanytilesshapedlikethis:

areneededtocoverthefigurebelow.

Answer____________________

5. (b) Ifoldedapieceofpaperinhalfandcutoutashape.Drawapicturetoshowwhatthecutoutshapewilllooklikewhenitisopenedupandflattenedout.

Cuts through both layers ✂

Fold

Tile

4

5. (c) Whatfractionofeachfigureisshaded?

Answer____________________ Answer____________________

6. (a) 3333p = £____________________

(b) 3 cm = ______________________m

(c) 1m23cm = ______________________m

(d) 4m5cm = ______________________m

(e) 6m78cm = ______________________cm

(f) 9km 10m = ______________________m

(g) 2hr = ______________________mins1.3.

8. Whichofthefollowingisgreaterthan2butsmallerthan3?

10 -9- 11 -6-

3 5 4 2

Answer____________________

7. Writethecorrectnumberineachbox.

080=

0000=

0000=

0480=

0560=

.128-

15 60 135 000 000 000

5

9. Whatisthesizeofangle“a”?

Answer____________________

90°

90°60°

32°

a

10. Writethecorrectnumberineachbox.

(a) 6·25 3= 6250

(c) 602 3= 60·2

(b) .53·2- = 5·32

(d) 100 = 36 4

11. (a) 1 2 = Answer____________________

(b) 1 = Answer____________________

4.11.

1

.5.11.20.

12. WoodyandBuzzarebusystudyingatraintimetable.UnfortunatelyBusterhaswalkedalloveritwithhismuddypawsandtheycan’treadthreeentries.Completethetableforthem.

Route Departs Arrives Journey Time

London – Birmingham 09:15 1 hr 20 min

London – Manchester 10:05 12:03

London – Carlisle 15:12 3 hr 17 min

6

15. Iwanttocutoutacircleofradius6cmfromasquarepieceofcard.WhatistheareaofthesmallestsquareIcanuse?

Answer____________________

13. AnoaktreewasplantedintheyearinwhichLordOwnlynosewasborn.Hediedin1940,aged80.Howoldistheoaktreenow(in2011)?

Answer____________________

14. Herearethreenumbersandtwooperationsonfivecards.

Arrangethecardsbelowtogivetheanswer15.

÷ + 3 7 24

= 15

B

7

17. Buzz,Woody,Ham,Rex,SlinkyandMrPotatoHeadwenttothecinema.Theyspent£33onticketsand£20·40onfood.Theysharedthecostequally.Howmuchdideachhavetopay?

Answer____________________

18. Iopenedabookatrandomandmultipliedthetwovisiblepagenumberstogether.Theanswerwas506.Whatwerethenumbersonthetwopages?

Answer____________________

16. Thefigurebelowismadeupofnineequalsquares.Theperimeterofthefigureis128cm.Whatistheareaofoneofthesquares?

Answer____________________cm2

8

19. Alocalfootballteamhasthirty-fourshirtsnumberedfrom1to34onthebackonly.Howmanydigit1’sareusedonthecompletesetofshirts?

Answer____________________

21. Fivefootballteamsplayeachotheronce.Howmanymatcheswillneedtobeplayed?

Answer____________________

A B

20. A B C Disarectangle.Whatistheareaoftheshadedregion?

Answer____________________cm2

CD10 cm 10 cm

8 cm 8 cm

8 cm 8 cm

9

22. Acarpetwhichmeasures4m33mcovers60%ofthefloorareaofarectangularroom.Thelengthoftheroomis5m.Whatisitswidth?

Answer____________________

23. BuzzisthreetimesasheavyasJessie.IfBuzzis450gheavierthanJessie,whatistheweightofBuzzingrams?

Answer____________________grams

24. Whatistheanglebetweenthehandsofaclockathalfpastnine?

Answer____________________

10

25. Iamthinkingofanumberlessthan60.Whenmynumberisdividedby4,itgivesremainder3.Whenmynumberisdividedby5,itgivesremainder4.Whenmynumberisdividedby6,itgivesremainder5.

WhatnumberamIthinkingof?

Answer____________________

2·798 ismatchedwith.....................................................................

2·801 ismatchedwith.....................................................................

2·778 ismatchedwith.....................................................................

2·794 ismatchedwith.....................................................................

2·816 ismatchedwith.....................................................................

2·784 ismatchedwith.....................................................................

26. Matchthefollowingnumberstothelabelledpointsonthenumberline.

2·798 2·801 2·778 2·794 2·816 2·784

A B C D E F

11

C27. Yesterday’stomorrowisThursday.

Whatdayisthedayaftertomorrow’syesterday?

Answer____________________

29. Woody’slassois30cmlongerthanJessie’s.Jessie’slassois60cmlongerthanRex’s.Thetotallengthofthethreelassosis3m.WhatisthelengthofRex’slasso?

Answer____________________cm

example of a lasso

28. Writethecorrectdigitineachbox.

(a) (b) 1 1 1

2 1 1

1

7) 0

6

4 6

12

31. WoodyandMrPotatoHeadstartatthesamepointonthetoyroomfloorandwalkinoppositedirectionsfor80cm.Eachthenturnsleftandwalks40cm.Finallyeachofthemturnsleftagainandwalks80cm.Howfarapartaretheythen?

Answer____________________

30. Thefigureshowstwoidenticaloverlappingtriangles.Four-ninthsofeachtriangleisshaded.Whatfractionofthewholefigureisshaded?

Answer____________________

13

32. Acrossnumberislikeacrossword,butwithdigitsinplaceofletters.Onedigitgoesineachsmallsquareandthereareno zeros.Completethiscrossnumber.

Across Clues1. Squarenumber4. Amultipleof16

Down Clues2. 231across3. Acube

33. Whichofthedicebelowcanbemadefromthisnet?

Answer____________________

1 2

3

4

A B C D

14

34. Woodyorganisedaquiznightinthetoyroom.Heasked25questions.

Foreachcorrectansweryougained4points.Foreachincorrectansweryoulost2points.Foreachquestionyoudidnotattemptyouscored0points.

Rexansweredallbutoneofthequestionsandgotascoreof66points.Howmanycorrectanswersdidhehave?

Answer____________________

35. Myspecialnumberhasa9intheunitscolumn.IfIremovethe9fromtheunitscolumnandplaceitatthelefthandendofthenumber,butleavealltheotherdigitsunchanged,Igetanewnumber.Thisnewnumberisfourtimesmyspecialnumber.Whatismyspecialnumber?

Answer____________________

15