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£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