sat practice test math

8/9/2019 SAT practice test math

http://slidepdf.com/reader/full/sat-practice-test-math 1/17



Nqtgr Figltre not dmwn to scale,

In

the

fieure

above, lhe

two circlcs dc

iangcnt

at

point B and,Ac

=

6. If

thc

circnnrlcrcncc of thc

circ1c

with centcr

-4

is lwice

the

cncumlerence

of

the

circle with center

C, what

is

lhc

length of

8-C ?

(A)

I

(B)

2

(c)

3

(D)

4

(E)

6

-,rir:i

wlich

of

thc

letrcrcd

poin{s

in

the

flgure

above

ha-s

cmrdin

es

(x,

r)

such

thar

lrl l)l=

3 ?

4.

(A)

A

(B)

A

(C)

C

(D)

/)

(E)

E

;

SL]RVEYRESTJLTS

Tho

ch:ul

$ovc shows 1he

rcsulls

whe. 1,000

peoplc

were

a.kcJ.

"Hor

old

drc

)oul

Thr aBc lhc)

gd\r

i,

rcFcscnl,ed by

r.

Ho$

many

pcoplc

said

thiu thcir

agc

(A)

200

(B)

300

(c)

450

(D)

500

(E)

550

6. Wbich

of

the

fbllowi.g could

be tbe remaindem

when

,l

conseutive positivc intcgers

arc cach

dividcd by

3

?

(A)

1,2,3,

1

(B)

1.2,3.4

(c)

0, 1,2, 3

@)

0, 1,2, 0

(E)

0,2,3, 0

94



ffitr-"_ffiww'

u

x il

I

I

.

Car A t-avcled

60

miles arld

avemged

20

mites

per

galotr

of

gasoline.

llcar

A brleted

15 miler

tor

each

galion

ofgasoline

iL us€n

how

mary

trIil€s

llad car s

raveled

wheo

I had osd

the

sflne

amounr

of

gasotine

tharcrr

A u3ed

to

tsavel

60

miles?

In

the figdeabove,points

A,

A

and

E li€

on

the

sa4ettne- wllat is the

yrlue

of

,

?

t2.

I

co

oNrortre Nsxr mce \

.__________-_n

13.

The

first telm of

a

s€quence is

20

and the

5€cold

term i6

8.

I

he

tbird

ierm add each t€rm

tberealler

is

fie

average

(arilbmetic

med

)

of he

rwo

teros

iflmediately

Ftcqding

it

What

is

tfie

value

ofthe

6rst term in

the sequerce that

is

r;j

gtr

ioieger?

14.

tlri of

].]

isaof

z.

ana

z

>

0.

rhmris

whal frac

otr

of

u

?



2n

uiaulro, zed spylnq

q'.ue.r

a.y

par

01

Ih

3

paqe

ls

irl .r

15. In the

figure

abo\e, ,BCD

is

a

s.ruarc

ur.l

Whal

is 1be area

of EBCD ?

16. In

a

mixture ofpeannts

and cashcws. thc

ralio by

welghr

of

panuts to crshews is 5 lo 2. Hov nuoy

pounds

olcashews

willlherehe in.l

pounds

olthis

I

t

I

17.

l-ine ,r

anol

shosn)

Dasses

throuoh O

and

int.rs.cts

ea bc[reen ..r and

B

Whrr

is

o.e .ossih]e vahe

of

,WES]ON

IIiCH SCIIOOL ENROLLNIENT

Numher oiSrldeni\ Enrolled

1992

r99l 1552

199,r

1995 t1-59

1996

l35l

18.

'ihe

rable above

shows studenl

enrollment at Wesbn

High School tiom I 992 lhrcugh I 996. lf t|c mctlian

cnrollrnenr lbr

lhe

tile

years

was

1351, xnd no t$'o

lc.*

had

Lhc

samc

eiroihrenl- \ hatis

the

greates

possiblc laluc

Lor .r

l

STOP

ll

you

finish

belore

time is called,

you

may check

your

work on

this section only.

Do

not turn lo any other

section in the lest.

953



uM0lrqiz6d

oopying { reu*

ol

any

prn

ol nlis

pn €

is

illelst

SECTION

5

Tim€

-

25

minut€s

20

Questions

Turn to

Section

5

(page

5) ol

your

answer sheel to answer

the

questions

in lhis seclion.

DirectioN:

For

this scciion.

solve each

Eoblem

and

decide

which

js

the

best

of

the choices

given.

Fill

in

the

conesponding

clcle

on the

arswer

sheel-

You

may use any

available

space for

scratcbwork.

1 . The ose of a crlcul$or

js

pefmil .d.

2. AII

.umb.N rs.d

nft ral ntmtrers-

-

I

3.

F rsurcs thar

J(mmpany

preblcms

rn rh i\

te$

are intend€d

to

proyide

informalion

uielul ir

solving

the

pIoblemr-

I

rr,"l

we ,1,$'

n

a

accurarely a.

possible

EXCSPT

wheo ii

ii

nated

ir

n spe.ilic

pmb,em

ftar fie lisure is ,ot

zl

'

.:.

drae ro icrle, All

figur€s

lic

in

r

plane

unless

orhcrwise indicaled.

4.

Unle$s

otherwise

sF.ified,

the

domain

olany

fitrcrior

/is

assumed

to

bs

$e s€t of nll r€ll lumhers x for *hich

/(:r)

h n

real

"nmbe..

(

9

n, /i\

L_J"

ht

8'f'\X"k

i

-;:,,

A"'jtr' a'ttt

v'Lwh

Thc nrmber o.f delrees

()1

arc

in

a

ci.cle

i 360.

.-fi

Special

Risht Triatrgles

,E

Thc

su

of

rhe

mersur.s

in degrees

of

$e

rngles of a triangle is I

80.

,. o;i;=f

.,r'",,=

STLIDENTS

IN AN ADVANCED BIOLOGY CL\SS

(A)

(B)

(c)

(D)

(E)

31

39

4t

'78

Boys k

Cirls

To(al

In

the table above, each

letter

represents

lhe

number o

students in that catcgory. Which oI the tbllowing must

2.

(A)

(B)

(c)

(D)

(E)

96



F

AC

3.

In A.{BC

above.

what

is

thc

value

of

i

?

4. The

Marrind

retrigerator

is

broken

and it wiLl

cosr

$100

lo

n\

ir.

A nck

encrg)-etfir

ienr

retrigera,ur,

co\iog

$o00.

williJ e

rhe

Mar:n.

\tr per

monrh

on

rhcireleclrlc

biU. tt

rhey

bu)

rhe

ncw retrirerJlor,

rn

r

months

the

Ma

ins

wiil hnve

saved

an anrount

equal to

the

difference

beiwccn

the

cosr

of

the

ncw

refiigcralor

and

lhe tuir

ol ir\ing

rbe

nrd

onc. w]lal

is thc vrlue

oi r

,

(A)

2.5

(B)

30

(c)

3s

(D)

.10

(E)

60

(A)

20

(B)

25

(c)

36

(D)

40

(E)

60

966

5.

The

pernneter

of equilateral

t.iangle

ABC

is

3

times

the perimete.

of cquilaieral

rJiangle

DEa.

II the

Frimerer

ol ADfr

i\ t0. sbar

is rhe

tcnELh

o,

one side

of A/4aC ?

(A)

3l

(B)

10

(c)

ls

(D)

30

(E)

40

6-

A nachine

mints

coins at

ihe Ete

of

one

coin .cr

\econJ.

ll i(

drei

'hi.

t.{ t0

hour.

eacb dc).

a;p,or

imJtcly

hoq

mcny

dals witt

ir

take rhe

m.chi

e uJ

minl360,000

coins?

10

100

r.000

r

0,000

100,000

(A)

(B)

(c)

(D)

(E)



;t

b

(A\

2

(B)

4.

(c)

6

P)

tz

(E)

24

.Fi

t

7.

f

thea*rage

(a.ifhtlettui

mean, of

.I,rnd 3r iS

12,

$,hatis

theialre of r: ?

At

Mapli, Cre€{ High School,

sorit

membefB of the

chess.chb

are on tha switr

&am

ard no ine4bers of

the

ilwim

t€am ars tenth

gaders.

Y&jch oftle

tolloMns mu$

aiso be true?

(A)

No rEnbers

ofr.lt9

cEss

club

arE

{erith

gradals.

(B)

Som

mmbbrs oI

the chess

club

are

ientb

cradeis.

(C)

Sone

roeinbers

of

the

cbess

club

are

nat ienth

effden:

(D)

More.teoth

graders

sre

on thc

swim

t. mthan

4re

io

De

ches club.

(E)

More tenth

eraders

are

iLthq

chess

club

ihan

are

on the

swim.teafii.

r''''1

EI

9.

ff3r

+.

=,

+ l, whatis,1 intemxof x?

(A)

4., + I

(B)

2r+l

(o

2.-

:t

(D)

1-2,

(E)

1-

4x

lO.

If r

js

a

positiye integer, 1et

@

be

delimd

as

tle

sel ofall

multiple.

ol

l. Allollbe numbers in whjch

ol

the

followins sirts*€

,ilio

in all

t}1r€s ofthe seld

E,E,ardlIl?

(A)

ti

,B/

fsl

(c)

LraJ

ror

E

(B)

@



II

r-r

:h#ff*1ifiF""1ffi:,

t:=

5

F

IhE;

figirr

@tiliarn to srde.

11. tn

the

figlre above,

7r, aE,

and

Cri

intersect at

poinr

o. If

fie measure

or z

AoB

is 80"

aI,d af

bkects ZBOD, what

is the xF.easurc

of

ZEOF

'1

(A)

40"

(B)

s0'

(c)

60"

(D)

70o

(E)

80"

12. If * is

a

positive

integer,

what is the teast

value of

i

fm which

E isa

inteser?

I3

(A)

3

(B)

s

(c)

ls

(D)

25

(E)

60

96A

13.

rfl

z

'tr

'-t-r-

il

The

fieures

abave

represEnt thee

pieces

of

cardboard.

All

angles

of

the cardboanl

piec$

are

right

anglgs,

all

shora sides

have

lensth

1,

and

aI

long

sides

have

length

2. Wlich ofthe

following figures couldbe

made

Irom only

the lhree

pjeces

ofcardboard

ithoutover-

lapping or cuning

them?

r.3

lt.

L

Ir

I

II.

(A)

(B)

(c)

(D)

(E)

Norc

I only

fl oily

II

only

I

ard II



14. How mmy integeB

greater

than

20

and

le,ss

than

30

ee

each the

product

bf exactly trvo

4& ett

lumbers, bolh

of which

arc

pdne?

TEto

Three

(A)

(B)

(c)

(D)

c)

15.

N &

Flgllfe ml

dm* & stal*

The

fisure

aboye

is

a

iight

triangte. What

is the

value

ot

4s

+;1

(A)

s0

(B)

sl

(c\

12

(D)

98

(E)

10O

Tbe

figure

above shows the

g.aph

of

a

quadratic

tunction /

wh@

rruinun value is

n(2).

lf

n(a)

=

O,

which of

fne

foltowins

codd

be fte

vahe

of

a

?

ff * ud

l, are constants

and

;

+

kr

+'7

is

equivalent

io

(,

+

1)(r

+ r), what

is

the value of

,t

?

(A)

-1

(B)

0

(c)

2

(D)

3

(E)

4

17,

(A)

(B)

(c)

(D)

(E)

0

t

7

I

It cannot be

.Letemined

fron dte information

given.

96



18.

dg-q

ligots

not

dllwr

ro stjla

In

the

fiet]re

above,

if

the tess

of aiansle ABC

are

pdallel

to

the axes,

which oI

the

following

could

be

the

lengths

of

the

sides of

triansle

,4-BC

?

(A)

2,5, Nd

aqg-

(B)

2,5.

and

7

(c)

3,3. and

3J2

(D)

3,4, and 5

@)

a,5, ad

JAI

STOP

970

19.

Id the

tunctioi

/be

deffned by

/(r)=2r-1.

If

;

f(Jt)

=

4.

uhat is the value ot

I

?

If

i

is a

positive integer, wnich

of

the following

must

reFesetrt

aD even

integd

that is

b{ice

the value

of an

@i

@+

,cr

9

,2

Gr)

+

*,?

21.

(A)

2k

(B)

2k+3

(C)

2k+4

(D)

4i. +

1

(E)

4k+2

lf

you

finish beJore llme is called,

you

may ch€ckyourworkon this sectlon only.

Do not tum to any othet section in the test.



BOO

Ql;*',,'*,'*,,r,a,*'Q

O

O

B

SECTION 8

Tinc

-

20 minutes

l6

Qrestions

Directions:

For

rhis se. jo

-

soheeachprcblem

and decide

which

isrhe

bcst

of

rhe chojces gl vcn.

l,iI in

rhc con.esponding

circle on

thc

ansver

shec(. Yon

ma]

use any

a aihbte

spacc titr

sfialch$uk.

l.

The use.f.r

c lc lal.r is

pdrnrir eli.

:. All nrnrb.N

uscd.r

ltulnu,rbe6

-l

I I-riur$rh,n:(

i,pxn

)

pn,h

r. nr \

rn

rh i\

rcsr a'"

inond.d

ro p.o id.

iDibnnorior

Lrseflt

in

sorlnrg

the

p$hlsms.

El

rhcv,e

Li,J{ n

'A

^\

L,rrr

r\ J. ph\rhre

Excarvr

when

ir

is stared

i, srecili.

probrem

rtrr

rhe

r'i8urc is

ror

l

I

JrJ\,'i'.(,,1r

qll

iJUrc,

.

.

in

I

rtrn,

,t,..,.,rtkr ,,...nJr..,..J.

i

.l

L nl{..

urh.r\

i\c

.nrlitied

,he

&{,,J,n oi.n}

,utuftni

/

js

er\umcd

ro

be lrre

J.r

ofnlt

rc.J

numbeN

I

tirr

$hich

| /ir)

1., r.Jl

u

,hcr.

l\

'

/L \

,t=

\t,r,

Therohbe.olil.gnesot.E

ina(iEl.

is160.

Thesun

oIih.

ne.s .cs

i desrecs

otttrlr {ngles

oirtdancle

is ,ito

.9

E

:

e

e

O

r::

Sf.rirlRrEhr

I n 1.\

<:

-;-lu

(-4

N

I

l

i L"l \ 24

,

\

-'a'

I

"

"/l

1.

A

rcslaurant menu

llsts

8 dinners

and 3 desscrrs.

How

many

di llcrcDt din nerdcssert

.ombinations

are

possihle

(A)

(B)

(c)

(D)

(E)

The

$un of

l-r

uid 5

is equ,rl

lo

rhe

fnxluct

of

,

,n4

1

3

2. Wh;ch

olrhc

lblLowing

equalions

Eives

rhc

rctarionship

srated

in

(hc

phhlenirbovel

,,q, :.

=

1,

*.

(B)

5G_r)

=

(c)

l(r

+ 5)

=

21

l2

t1

6

l

.-l

1

rD):lr+5=

(E)

lr+5=

1

,=r

I

971



Cy,;w:nm*r.,,m,

C

O

O

B

J.

A.h1\

a.cidcnrallyrhres,

\Jtuab,.d ,urnenlir{o

one

uf

r0

hrsh

cans.Ir

ii

crtur

)

trkety

lharrhe

d.JL

IenL

r\ rn

Jn)

,,r

.he..

on

,.asn

can5.

lt eid.1r\

l5of

rhe.coUrr-.ic.,..

.rcbtue. {t,ir

i,rheorob;

bil,r) rnar

rl,e

do..ume{

srtjh-

in

t

ht,(

r-a.h

c.d,l

4.

Ho1 many

diftir.ent

inle8cr pai.s

(

))

sarisl),

the

(B)

rwo(C)

rhree

(D)

Four

(E)

Morc tnan

lonr

._

)

rnr

'-5

,.,

*

ror

t5

,",*

r=1,

r2

974

BOOKSTORE

SALES

LLEN'S

.""

,."-"#

"r-*'

*d

-df'

r

+c*

o-

+"*

Accoding

to

thc

graph

abole,

durinc

which

ot fie

following

iwo

moDth periods

did

El[n's

Aooksrorc

sell

the

least numbe.

ot

books?

(A)

(B)

(c)

(D)

(E)

August

and

Seprcmber

Scprembcr

and

Ocrober

Ocrober

ard

November

In

the

figue above,

,4C

=

.ed

AB

=

(notshown)

is

on the

lincbetwee,

,4

and

A,

=

.I)6.

Wlar.loes

,C

eqxal?

(A)

6

(B)

12

(c)

l6

(D)

18

(E)

20

AC

Poinr

D



7.

ff/ is

a

positive

intesei,

lhen

(o

x

ro

,)+

(r

"

ro-)"'*t

"quur

(c)

'7

10"

7

702n

6

10"

6

a;

8.

How many

more

degrees

of

ac

are

trere

in

I

ot

a

1

circle

than in

f

ofa cirle,

5

18.

30"

36'

(B)

(D)

(A)

(B)

(c)

(D)

(E)

B

O

C

Ory,"m**s,**"

O O

C

B

Based

on

rhe

gmph

ofihe

function

/

above.

whar

aE

rhe vaiues

of

,I for

which

/(x)

is

negative?

(A)

-6<r<0

(B)

0<,r<6

(C)

6<r<7

(D)

-6<x<6

(E)

-6<,<0and6<x<7

10.

The

figure

above.bo$,

|nedjrensjon

ota

pedesht

consr,-uocd

ot4la)ers

ot rnarbte

Lachhyer

isu

recrangular

solid

rhar

js

I

toot high

and

ds a

"quae

br.e.

How

man)

obic

teer

otm;rbte

mate

uD

rhe

Dedestat:,

(A)

14

(B)

16

(c)

30

(D)

36

(E)

80



ff r

ed

/

are

positive intecers

arid

4(2i)

=

2j'

what

is

,

in Grmr of

f

?

@\

r-2

(B)

r-1

(ql

(D):v+1

(E)

y+2

12. If *le

dese€ neasures

of

the

egles

of

n

triangle

are i

tIE

ntio 2:3:4 by

how many degrels

does ine

neaslrre

of

the largest angle

e"\c€ed th€

neasule of

the

smallest

angle?

9AO

(A) 20"

(B)

30"

(c)

40"

(D)

s0"

(E)

60"

,O

C

Qwr'*m-er,O

O

O

B.

13.

The mte for a

telephore

cafl between

City

A

and

citv ,

is

50

ce

s for

tbe

first minute

ard 3o.cellts

for;ach

addition{minute

orpo

ion

thereot

w}ich

of thefolowingfimctionsddsciibe the

cost,

i dola,

of

a

phone

cal

between

these

two oties

that lasts

for

z

minutes,

if ,l is aposiiive

inleger?

(A)

/(,)

= o3o,l

rB)

/(n)

=

O.so

-

0lou

(c)

/(n)

=

0.50 + 0.30(r

+

1)

(D)

/(n)

=

0.s0

+0.30("-r)

(E)

/(,) -

0.5or +

0.30

(,

-

l)

14 In the

ffgule

above,

if I llr,,

what

does

z

equal io

lerms of .I and

y

?

(A)

.t+

)

(B)

r-

y

(C)

180

-

r

(D)

180-r+y

(E)

180 ,

-,



ls.ff--L. .

L

=

for

cr:sitive

inresers

n-1 n n+l k

z

Bnd

Lsnn

is

the

value

of

r

?

(A)

I

(B)

5

(c)

a

(D)

25

E)

16.

To

celebrale

a colleague's

gmiluation,

the a coworkers

in

an

oflice a$eed to co$tribute

equally 10 a

catered

lunch

rhar costs a

loLd

ol

dollaJs. U

p

ollbe

coworkeF

lail

to

cooribur, which oI

dle

lollowing

reFesenis

the addiliorsl

amount.

in dolla$,

that

each

of

the

remaining coworkers must coDtribute

to pay for

the

lunch?

(A)

I

-__L

__L

r@-

p)

w

STOP

lfyou

finish before time

is called,

you

may

checkyourwork

on

this secllon

only

Do not turn to any other

section

in

the

tesi.

(B)

(c)

(D)

(E)

sat practice test math

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