J~

..~~~,c-:~·-~-"",?~_~" ',.,-­

£AIISEE: I'1ATHEMATI(:S PRA(:TI(:ETEST #1

I. The table bdowdisplaysthe numhcr of hoursthai three students spent on-linc over ~I t(mr-WCCkpl'riod.

Hours Spent On~line

Week 1 Week 2 Week 3 Week 4

Nelson 10 ····6 9 1

Marisol 7 8 10 11

Donald 9 _6 7 9 -"

What is thl' IIll'an llundll"r or hours

Marisol spent un-line l)l'r'H'ck'?

A 7

Il ~

(' l)

I) 10

Sports Injuries in 2001 Participants Injuries

37,500,000 475,000

12,500,000 440,000

2. The local Bo.wdof' Edlll'Htinncllnsidered

drol)l)ing thotball as a varsit~'sJ1n ..t hl'('unsc too nmn)' playcrsgol hurt. At a fCl'ent hcmrd Inel,ting. a SPOkl'SPCI"SOIl ror the Ilarcnts of ihotbnll players. rl'felTing til tlw dUli} in thl:' dlart ahow daimcd. "Foothulllms7 l Yc' fcwl'r injuril's i1cr ~l'ar than hClsch~lll:' Wh~}t. is d~Cl'P.ti.1~ about

the Spokl'Sperson's l'inim'!

:\ The ;'l\L'ragl'lHlIllhl'r of injuriL':-' ~r .L()()il-l1afJil'il~,!nt"- i" greah:r fur hasebalL

H -fill' spokL'sfx'NHl should have s:lid, "llll\'-lhird thl' IlUmh~I' 01' injuriL's."

(' TIlt' spokl'spl'!"'-.on ~hould ha\\: said. "thirtyc-fhl:' perCCl1llewer injuries,"

3.F()urcoins,~' penny (1'), ~l nkkcl (:'.i).

'a dime (I»), and a quarter (Q) ~H'e

plHcedin a bag. Without looking.

Hakcem picks one COill. replates it. ~md then picks a coin. again. The tn'l'

:diagrnmshuwn helow represents all lhe pHssihk oulcnml'S.

1st 2nd Pick Pick ... ·..P

P~~ a

N~~ . P

o~~ a p

a~N --.:8

What is thl' tlll.'Orctil-al I)robahility

lhHt the total "Him' of ttwl'oins

Jiakccm Ilkks will hl' exadly $O']S'!

!A I (,

n x

(" -I

n )

-

l) The :t\cragr/ lIumher of injuries l)!:I

Ln.ou,varU.0ULJIlb is greater for CONTINUE

_Ii.lllthali. 173

CAHSEE: Mathematics Practice Test #1

Sport Baseball Football

· .

Anink.jet printer bas a suggested retaiJ price of $150. This weekend, it is on sale for 30 % otT. How much does the printer cost during the sale?

A $45

B $105.

C $120

D $195

5. The bubble gum machine shown above was just refined with an equal number of red, green, blue., yellow. purple, and orange gumballs. What is the probability that the first gumball to come out will not be green? AI

6

B J 2

C 4 5

D 5 6

Last·yearthe Pacific Packing Co. Jost 644 person-hours. of work due. to chronic back pain. If a normal day includes 8 hours ofwork, how many person-days of work did the company

80.5

636

652

5,152

7. 1.8 X 10-3 = A O.OOlS

B 0.018

C 180

D 1,800

8. Which sum below is equal to a negative number?

A (5) + (-9) + 0) B (~9) + (-5)

C (-5) + (9)

D (5) + (9)

CONTINUE

• • •••

One thousand is divided by a number between 10 and 100. The resulting number Dlust be

A less than 10.

B between 10 and 50 but Ilot 25.

C between 10 and 100 but not 50.

D between 10 and 100.

. 10. Of the 652 students enrolled at Lincoln.IDgbSchool,l60 are of Hispanic descent.·Approximately what percentage of the student enrollment is of Hispanic deScent?

A 16%

B 25%

C 50%

D 160%

11. Giventhaty is an integer, what is the solution set for 51 y I= 20?

A {-4,O}

B {-4,O,4}

C {-4.4}

D {0,4}

Autbmotiile Mileage

•4 •• .§.·35 •• (;30 ••••CJ ••"'" 25 &20 •• .1 15 • • i 10 •

5 O. o 1 234 5

Engine Size (Liters)

12. For a project about energy conservation, Shana did some research· on gas mileage attained by certain automobiles. The results of her reseat'Ch are shown in the scatter plot pictured above. What conclusion can Shaua draw that is supported by her data?;

A The number of miles per gallon attained increases as the size of a car's engineincreases.

B The number of miles per gallon attained decreases as the size of a car's engine increases.

C The number of miles per gallon attained remains the same as the size ofa car's engine increases.

D The number of miles per gallon attained has no relationship to the size ofa car's engine.

Whidline'luaHtyiseqmvwent f()

2+

;\2

B 2

14. Lllh-l..ingroneda.c.ube"'idl tam numbered 1-6 three tiOIes, aD4~c_ ~~he rollman. even nn~~r~lf 'jllb,..UnglVll~ tbe-number cube one more tf~, wbat·t.. (betbeoretical probabUity thAt! theWillroU anOOtl JlUlbbet?

D 4

is. 32 x 3"=

1\

R (; ()"

I)

Wbichof thie~pr~~ion$ below

t~f.!·p1"ime fadodzation ot ·th~. least

cqmm().. den~)lnmat(.r

A'2. 2 3.><3

A 140

One quart is·equal toappro~iJnutely 0.946 fiter. A~)Outhow eqtJ1l1 to 4 quarts?

A

1 -g D 8

20. Carlos is thinking of a number. He

says that if you divide. the number by 3, and then add 5 to the result~ the answer is 12.

Wbicb equation below could be used to find tbe number that Carlos is thinking or.

A = 12

B 5 = 12 + ~ 3

C !l.. + 5 ::;;:; 123

D n 3 5 + 12

21. For a certain hockey team traveling on the road, the number· of sticks, s, equals 5 times the number of players, p.

Which of the following equations agrees with the infonnation above?

A 5'p=s

B 5' S ::=: 5 'p

C 5's=p

D s'p=5

Evaluate the following expression.

2(3x - 4)2

A 6x~8

B 12x + 16

C 18x2 -48x + 32

D.36x2 - 96x+ 64

23. The line on the graph below represents whicbofthe following equations?

y

6 ~..

5 l/4 73 . I l/2 V1 .. / x

, V-1 ...... V-2 V-3 / .-4

/-5 -6 ... ~3~2-1 1234567

A y=x+2

B y x-2

C y=x 4

D y = x-4

CONTINUE·

24. The grapb below illustrates the total

cost of bowling t(lr l)Ilt' person at eacb

of tWH bowling alleys.

$14.00

$12.00 iii $10.00 o () $8.00

S $6.00 ~

$4.00 $2.00 $O+-~--~~--~--~~ 0123456

Number of Games Bowled

Larry's Lanes costs less than

Bnwl-a-I.tama

,\ at all lillll'~.

H if a person howl:.. k~~ than .\ 11;1In..:.."

(' if a person bowl~ 3 ~al\ll''''

D if a pl'rSOI1 howh-. ilion.' than ,~ g:tll1e,>,

'\78

! Roadmap to the CAHSEE: Matherraticsb

25. Simplify and c\'aluate 5.:.1

r: ;\

'::5

B T~

'i

C :h

D 2)'\,'

10 in

6 in

16. Find the volumc. in cuhk inchcs.

of til\' hux shm·\n ill the diagram ahovc.

A .~ I

H [50

(' t )()()

D I .:1 O{)

CONTINUE

IUd

I

27. Which graph shown below could be the graph of the equationy = 2 + Xl'!

c

G).

x

n

x x

28. Sohe till' It)\Jowing C(luation tf)r ll. 21). Ifp = 7 muJ q ;:::: J, tlll'n Ptf,.( I) + 4 = 5([-9 < 16

A 0<3 A -+ B a<-+ B !

I

C X

I) 17

C ([<)

n (/<7

I CONTINl'E

30, Soledad is appl)ing H watt~rsealant to

the de(.'kamund her pnnl al .frait of'

] 2.5 slJum'c red pt~r minut<.'. Uthe de(k

hasH tHt~tl sllrfacc,an~aof 475 S(llmrC

f{'C(. how long will it take, to liuish

apIJI)'ing \\ ahT st~~llant to the t'ldire.

dei.'k if she l:Imtinlll's ~l' this ratt'?

H -15 mllluh";

C ,t{)"':,'\ miIHlIl':-;

f) ·+~7,) Illillllk"

.H. Tlu:'slol)(' of till' lillt' showl} HII thl'

gnlph hl'low i:-.

y

7 6 5 4 3 2

.-III~

..

" ..-""" "....

,

1

-~ ~ fiiI"'" ,."

t---r-

I i '" 1 2 3 4 .5 (; 7 8 9 10

,\

H

.u, Thl' dl'nsif~ 01 ""lIbstann' i<i !,'qual to it..,

fll~tSS dhich:d In it"! \ uilnlle l/) :.:~ .~I i. " . ., . ~

A,i(:...shu ml'asnn'd the mas... ilml .ohmll~

ofsh ahulIinmn <;ampil's. I h'r (i;Ha al';,'

plltHcd fin lilt' L:raph Iwilm,

\IT(lnlin~ !o\.""l'"ha'" dab!. \\11:11 i-;

Ihl.'appnn.imah· tIl'n:...ii\ HI' "lumtmulI:

\

B

. 1,1 !!f\lil

;"

( II

D

Th..• 'quart' ,'out nl' 7'1:' tll!h! IH' ;i

IIIHnht'I' hd'H.'~'n

\ ,

:)Ild ';';

;qH dHd

( , ({!:2'1 ~i!ld

n 3() ;Illd 1 !

180

Roadmapto the CAHSEE: Mathematics

34. Thediagram below shows a scale drawing of a soccer field.

The scale used for the drawing is 1 centimeter (em)::::: S meters (m).

B.Bcm

7.4 em---------------'--+)10

What is the length, in meters, of the soccer field?

A 87 III

B 105 m

C 122.5 m

D 174 m

CONTINUE

The figure below shows a parallelogram

drawn inside a rectangle. What is the

area of the shaded portion of the

rectangle'! (Area of.a triangle == lb11;

Givt.·o the fhrmula for the area of a

triangle (.4 = ~blr). what is the3rea of

the triangle in tht· figure below?

CONTINUE

Area of a paraHelobJTam = bill

4em 11 em

5cmV 11 em

A 20 cm-'

H 4!l ~:m2

C 5) em:'

I) 7') CIIl-:

J6. Which of the followingllairs of c\'t.'nts

d(.'scrihes two ~klWl1dent c'vents'!

A Flippint! ,,(ninthal ,-'OlllCS up heads: rolling a cube vvilh faces Illlllihered 16 :tndgetting a5

B Pid,ing a spade from a siandard tb.:k of 52 I:urds without replacingil: picking another spade frCJIlI the Sallie deck of cards

C DrawillJ:! a vow'e! from a box of 26 lIi l'kn:llt alphabet lilesand replacing it: drawing a con"iorlalll

from rile :-ame hox or alphabt'l tiles

l) Piddnt! a red jelly hean from a dish cOlltaining 20 each or eight assorted colors: pi..:king a short.stravv from a hat containing I "Iwrlstraw ami 9 long slraws

37. A train in .h11)an travels a distance of

U2 miles in thl'cC-lluarters of all hour.

What is the tntin's uvcragc SI>t'cd'!

A l)l) rnik:-, pCI' lmur

B 176 miles per hour

C I X2 miles per hour

1) I X4 miles per hour

A 17 "quare units

n JJ squ,u'c lIllits

C 54 square units

D hh '>quarctlnils

39; In the diagram shown belo\\'. Circle A

has a radius of 4 in and Circlt' Il has a bldius or S in. What is the vnluc of art'll (>,(Ci/:dc: \ .) (,i ~ 2: \

/ '('" . f /,. It - nr Iarea t! . Ire e J

A ~I

B I , -

C J(

~I

n IT ~ "­

Circle A Circle B

(3 . Bin

~

40. Migdalia is cuttingoufa triangular stencH from a gray circular piece of paper that measures 18 inches in diameter. Approximately how many square inches is the area of the remaining paper (the shaded. portion of the diagram)?

(Area of a circle =1Tr2; 1T =3.14; Area of a triangle =jbh) A 84

B 179

C 198

D 254

41. The line whose equation is 3x +. 2y = 8 has a y..intercept whose coordinates are

A (0. -3)

B (0,4)

C (2,0)

D (5,0)

42. Mr. Harris's backyard measures 30 feet by 24 feet and is covered with grass. He·buHt a hexagonal gazebo (that is actually two identical trap~zoids placed base to base) in the center of the yard as shown in the diagram above. What is the area of the grass that remains uncovered?

[Area of a trapezoid = t<b] + b2)hl A 224 ft2

B 496 ft2

C 528 ftl

D 608 ft2

43. What is the result of (3x3yz4)(3xylz3) if you simplify it?

A 6x3y4z6

B 9x9y3z12

C 9x4y4z7

D 9x5y4z7

44. Maria's bedroom measures 9 feet by 12 feet. The carpet store sells wall~to-waU carpeting by the square yard. How many square yards of carpet does Maria need to cover her bedroom?

A 7 B 12

C 36 CONTINUE

45. The \,t'rtkes of a (Itwddlaterl,ll <Ire -Ut Till' tahle hdow lists (he numhl'r

rCI>resented hythepnints II. -2', of hours thn'l' students sp(:nt (Joinj!

(3,3),17,3). and 15. -2i. \Vhat kind of h.)mc\\ork O\l'I' a rOtlr~\'red\ period,

quadrilatl'ral is It'? Hours of HomeworkI:\ Paralltlug.rClIlI

!B RCl'l;lII!!k

C Sql!~m:

I) Tr;l[ll~/lJid I I

4(}. In the diaj!nllulwltm. finlltlu: \Vha1 is till' !nudal !lUlUhel' of !lolu'svallie of c Pt'!' wed" that U'II,Jml' spellt lIuinj!; IH.'r,~A -.' hnm~"Hwk me," tiw -I-Wt't'k PlTiod'!

n 2:'1 ,\ i)

C ,~ I B Iii

n 62;) C i I

I) ! ,:

-l9. nk dail~ hij!h h:mpenlrIlH's for .1 d(~

{tH'I' a t'iH··da~ IwrilHI an: ~llfmn ill tht:

~nlph h.:lm,.

47. lutht' dia/.!,t'am hdmv, :l awl /) an

hnlhdj!hl <l!1glt.'s. and (' is Ill(' midpoint

of I\D. '''hkh or tll,,' It.llowillg hih HI'

inlhrmatiou is nl't'd('d to prnnthal

.lAlU ~f)FC!

A ,\f? ( '/:

B ' ,\/U . j)( 'F

C IW nt.

J) ,ncr. He \

B Whkh da:v<.; hij!;hh'mplTlilurl'

iIllT,,'aSl'd the must (,'41mplln'd tn

thc·IJrniolls da~··'!

;\SUil(ia)

B i\lolltia)

(,' TlK'.da\

n .\VL'dll~'"d;J\'

CO.'\;TlNl'E

84

Roadmap to the CAHSEE: Mathematics

5-4. .\ lullipnp-manul'acturing planf can pmdlln.' I.l0U lollipups iuOlw hour, and lin' I}Jant rC<:I.'in's $tL I" f.-revery lullipOl} cr{'att'«!. For t'\ c ..~' huur fhnt thel,lan{ i .... H(>t'rating.W cmplo.\ecs n·t,'l'hc '!\ 10 p\'I~ hOUI" cadI. If the nmllufafturlng plant ('\tcll(kd itsthl.\· fnull ~ hnurs Iii L! hours. how muth more IHunt) \\HU!d IIH.'lllani lIIakt' J)t'r

da~, l'onsjdl'l'inl,t tin' IIlHUl'.\ n.'('dYcd

from the lollipop,'>; and HI(' ('ost of the Nil rJI'.~t't's'.'

'\ "sn B ". !~Il

C \:411 I n \-1 :-ill I

I Tht' ~dw(lule bdH\\ indkatc,·s dl'IHU·tUl'l' ! alUl anhal t im('" for I)assl'nger Insins nmning fnnul,o.,\ngl'lt·s (L\.).

I

\'hkh trail! mah.{'s till' tripifl tilt' shm'h'st linw'!

\ Ihl: !l;!ill !lUi dq,;ln., ,Ii 7:-.J.0 \.\1.

H nil' tr;{ill Ilia! dq';lrh al l);(jf) \,\1.

(' lh' o:!i!l Ih;;! ,kl'arh;t! ill: 15,,\,\1.

J) nil' Hai'i !klf d~'J1;;n';1I j ~:()() I1<H1I1

56. hHsosc:cles triangle ,1Be. the meaSlIl'(.'

01' the H.'rtcx ~lI1gll' is more than twin' tlil' measun' 1)1' (Ill(' of tht, hase angles. Which of the '.,lIl/wing stah~mcn(s ..honl .1.,lI1C b tnlt."!

A ,\ANC j" illl aeu!'.' lriallgk

B ,"HH' j"all Oh!th"': Iri~lll.'!h:

ClAm i., all cqllifall'r:!I Il1an;,~k

57. Tlit, {'I)onlinatcs or two Iwints in H lim' iH~l" (0, -I' <Hut I.t -Jl. What is tilt,

slope of this linl"!

fioEldrnap 10 the CAHSEE: Mathematics

186

The U.s. Department of Agriculture publishes statistics about diet trends. The grapb representstbe.amount of wbole milk consumed per person in· the United States from 1965 to 1995.

U.S. Whole Milk Consumption cu 35 :a. 30 lJ25 ... 20 8. 15 f!·10 ~ 5as

..

.....

.... ...

" 0i>~ ~r;;;, ~~ ~r::;;,. ~Qo,VJ p.?..o.~"cs "Cb "Cb "crJ "'{J,,Q) ,,~-

Year

Based on this information, what was the most likely value for gallons of whole milk consumed per capita in 1965?

A 20

B 23

C 25 D 29

59. While-getting ready·to leave for school one rainy morning, Sherine stated. the following:

If I do not take my umbrella, my hair will get wet.

If my hair gets wet, I wUllook silly.

If I look silly, I will not feel very good.

Which -of the following conclusions can be drawn from Sherine's statements?

A If she feels very good,Sherine took her umbrella.

B If she does not feel very good, Sherine's hair got wet.

C If she takes her umbrella, Sherine will feel very good.

D lfher hair gets wet, Sherinedid not take her umbrella.

75~--~~--------~--~

! 70 ::J 65 J...;------ ­a:: 60 J-...-o__--'-____c 4)E 55~---":"··c:..-

~ 50 I-....;.,.~-..---.

'0 45 .. 40 ~""'-r----~;-:-.! 35 E 30::J Z 20

10 o

1997 1998 1999 2000 2001

o Year

Barry Bonds 0 Sammy Sosa_

60. The double-bar graph above compares the homerun totals for Barry Bonds andSf;UDmy Sosa in the years 1997 through 2001. In which years did Sammy Sosa hit more home runs than Barry Bonds?

.

A

B

C

D

1997 and 200 I

1997; 2000, and 2001

1998 and 1999

1998; 1999, and 2000

CONTINUE

t. C ,\ 1...,. 0

. ;. 1) , Lt. \3

5# ~

[P: ~

7. A (3, '8> q. 1/ '0..13 \L e­\1, 1?>

13. C i~, C \r;~ A

U" e \7~ \)

t~ P ,q. D "Lb C

. 2\, ~ ~2. C . '23. ~

2~. 0

*2.5.B1-". 1)

1-7. A ~S, C 'l9w 1;,

00. A

2> \, c.., ~2, 13 :'3. ~

".> ~\ A 35. ~

;~. 13 a7. 13>

3~'1? ~. fA \olD. 1:)

L-\\1 B 42.. ~ 43, C ~~f B '-lS, ~

ij~t 'B 1..f7. D Lt~. 1)

4<}. C SOl {)

S', 13 5Z, A 53. C Stt, A 55~A 5,.10 51, B 58" V sq, A W·D