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2014 Team ScrambleThursday, November 6th, 2014

1. Simplify: 5200

2. Evaluate:5

6

3

8

. E!press .000""6#2 i$ scie$tific $otatio$ rou$ded to three si%$ifica$t fi%ures.

4. Evaluate:11! 3 !

5 ! 7 !

#. Evaluate: (74)6. E!press i$ simplest radical form: 3875

". &rra$%e the letters i$ decreasing$umerical order:Z=13 17 Y=987678 X=5432 19 W=123+421

'. (hat ordered )uadruple, of the form (r ,s , t ,u ) , satisfies the e)uatio$s2 r+2 s+2 t+3u=10 , 2 s+3t+2 u+2 r=11 , 2t+2u+3r+2 s=6 , a$d2u+2r+3 s+2 t=9 *

+. (hat values- of gsatisfy 5 (78g90 )+6 (1234g )=16944 *

10. &my %ives half of her marbles to illy, the$ buys 4" marbles, the$ %ives a third of hermarbles to /elia, after hich she %ives "4 marbles to avie, e$di$% ith 1"4 marbles. oma$y marbles did &my start ith*

11. (hat values- of c satisfy 7c+5=3c2 *

12. (hat values- of b satisfy 2 b25 b12=0 *

1. 3f you travel at a co$sta$t speed of "+ meters per seco$d for o$e seco$d less tha$ a mi$ute,ho ma$y meters do you travel*

14. ou bi5e uphill to school at a$ avera%e speed of 4 meters per seco$d, but bi5e home at ado$hill speed of + meters per seco$d. (hat as your avera%e speed, i$ meters per seco$d,for the rou$dtrip to a$d from school*

1#. E!press the e)uatio$ of the li$e throu%h the poi$ts (3,5 ) a$d (1,1 ) i$ slopei$terceptform (y=mx+b ) .

16. (hat are the coordi$ates, i$ the form (x , y ) , of the midpoi$t of the li$e se%me$tco$$ecti$% the poi$ts (9,8 ) a$d (2,4 ) *

1". (hat are the coordi$ates, i$ the form (x , y ) , of the poi$t of i$tersectio$ of the li$esy=2x+3 a$d 3x2y=1 *

7 2014 Natio$al &ssessme$t a$d Testi$%

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15259

w


1'. The poi$t (3,7 ) is rotated 90 cou$tercloc5ise about the poi$t (5,2 ) to 8oi$t .(hat are the coordi$ates, i$ the form (x , y ) , of 8oi$t *

1+. (hat are the coordi$ates, i$ the form (x , y ) , of the ri%htmost !i$tercept of the parabolay=3x2+12x4 *

20. 9r. acobso$ as5s his stude$ts to fi$d the roots of a parabola of the form r2+Br+C=0 o$

the scree$. 9e%a$ miscopied the value of a$d %ot roots of 6 a$d 4. ;re% miscopied thevalue of / a$d %ot roots of 6 a$d 1. (hat are the correct roots of 9r. acobso$

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#. The suppleme$t of the compleme$t of a$ a$%le measures 119 . (hat as the measure,i$ de%rees, of the ori%i$al a$%le*

6. =e%ular 24%o$ > has vertices labeled &? i$ cloc5ise order. Evaluate mADV , i$de%rees.

". (hat values- of q satisfy 42 q=48 4q512 *

'. @se the table to the ri%ht to evaluate

f(g (h1 ( f( g1 (1 ))))) .

+. The fu$ctio$ j (k)= 2 k

2

k2+1

has a

domai$ a$d a ra$%e that are subsetsof the real $umbers. E!press thera$%e i$ i$terval $otatio$.

40. (hat is the product of the reciprocals of the roots of 3 m32 m2+m4=0 *

41. (hat are the coordi$ates, i$ the form (x , y ) , of the ce$ter of the co$ic ith e)uatio$9x

22y236x24y=100 *

42. o ma$y positive i$te%ers are factors of #40*

4. (hat is the product of the smallest a$d lar%est threedi%it pali$dromes*

44. Aist hich of the folloi$% $umbers are divisible by 12:

#142 +"#6' #+62 14"+6 +'62 1'#14 '260'

4#. Eve$t = has a probability of1

4a$d Eve$t S has a probability of

2

3. 3f these eve$ts are

mutually e!clusive, hat is the probability of " *

46. 3$ ho ma$y disti$%uishable ays ca$ the letters i$ the ord BT&AA&&SSEEC bearra$%ed*

4". (hat is the sum of the perfect s)uares less tha$ 1000*

4'. (hat is the 124th term of a$ arithmetic se)ue$ce ith a first term of #6 a$d a commo$

differe$ce of "'*

4+. (hat is the smallest possible sum of a$ i$fi$ite %eometric se)ue$ce ith a third term of 1'a$d a fifth term of 2*

#0. Evaluate: 1,3,5>#

7 2014 Natio$al &ssessme$t a$d Testi$%

$=1 $=2 $=3 $=4 $=5 $=6

f($) 1 # 2 6 4

g($) 4 2 1 # 6

h($ ) 6 4 2 # 1

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#1. 3$ a fiveeleme$t data set of i$te%er test scores from 0 to 100 i$clusive, the mea$ is "0 a$dthe media$ is 60. (hat is the smallest possible value of the ra$%e*

#2. (hat is the product of the media$ a$d ra$%e of the data set {7,2,9,3,5 } *

#. Set is the set of positive eve$ $umbers less tha$ 20, a$d Set A is the set of positivemultiples of 4 less tha$ 10. o ma$y subsets of set are supersets of Set A*

#4. (hat is the measure of the a$%les at the cor$ers of the %i%a$tic recta$%ular %eolo%ic featurerece$tly discovered o$ the moo$*

##. /o$vert

7i$to de%rees, mi$utes, a$d seco$ds to the $earest seco$d i$ the form

% m&s

& & .

#6. 3f sin k=5

13, hat is the lar%est possible value of sin

k

2*

#". E!press the cyli$drical coordi$ates (8, 5 3 , 2) i$ recta$%ular form (x , y , $) .#'. (hat is the area of the re%io$ bou$ded by 2

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2

5

10

6

5


6#. 3

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"+. 3f to poi$ts are chose$ o$ a meter stic5, hat is the probability they are ithi$ 20 cm of o$ea$other*

'0. To people play a %ame i$ hich they ta5e tur$s rolli$% a fair si!sided dice. They ta5e tur$su$til somebody i$s by rolli$% a $umber e)ual to or %reater tha$ the $umber Fust rolled by

the other player. &ccordi$% to these rules, the first player ca$$ot i$ o$ her first tur$. (hatis the probability that the seco$d player i$s the %ame eve$tually*

'1. Give disti$%uishable 5eys, each ith a flat side a$d a bumpy side, are placed o$ a sta$dard5ey ri$%. o ma$y disti$%uishable arra$%eme$ts are possible*

'2. &s the millio$th customer at the casi$o, you

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'+. 3$ the data set of i$te%ers {8, u ,2, ' , 4, w , 1,4,2} , the si$%le mode is %reater tha$ themedia$, hich is %reater tha$ the mea$. (hat is the lar%est possible value of u+'+w *

+0. Set K is the set of people ho li5e Ka$illa, a$d co$tai$s 1 eleme$ts. Set / is the set ofpeople ho li5e /hocolate, a$d co$tai$s 41 eleme$ts. 3f the set of all people surveyed

co$tai$s 61 people, hat is the lar%est possible $umber of eleme$ts i$ the set V &

C & *

+1. 3$ the cryptarithm "./+0A.1="./0 , each i$sta$ce of a particular letter represe$ts thesame di%it 0+- a$d $o to differe$t letters represe$t the same di%it e.%. if a$ & is a 1, the$all &

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+#. &$ a$t is o$ a$ ed%e of a cube to ce$timeters from a verte!, a$d ishes to reach a poi$t o$a$ ed%e to ce$timeters from the opposite verte!. (hat is the mi$imum $umber ofce$timeters the a$t must al5 if the cube

2014_ts_test

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