OHIO GRADUATION TESTS
Mathematics
Test
Spii 'Ng .P001
1. A mother is keeping a record of how her new baby's
weight changes as the baby grows. The mother's record
is shown in the table below.
Birth
1 month
2 months
3 months
4 months
5 months
6 months
7 months
8 months
9 months
10 months
/
7
9
11
13
14
15.5
16
17
17.5
18
18.5
What type of graph should she use to show how the
baby's weight changed over time?
line graph
B. histogram
C. circle graph
D. box-and-whisker plot
COncr. over -krne •ts
t ■ Re. ()mph
n coped an
2. Jill charges a base rate of $25 per lawn plus
$18 for each hour she mows the lawn. Which
equation gives the amount of money, m, Jill
earns from mowing a lawn for h hours?
A. m = 25h + 18
C. m= h - 18
25
D. m= h - 25
18
f
er or
nee.A cisr
eask e incilork, +bevaitabte,
3. In WnICn
figure Is me measure
OT Z. N
equal ro
4b"1
A.
( 5un,
B.
•
145°
(sun) = I s t-) )
•
C.
(64.&rn
.1
4. Leroy has a number cube with sides labeled
1 through 6. He tosses the number cube
4 times. Each toss results in a 5.
What is the likelihood that the next toss will
result in a 5?
rinclefeAciext
C. 13
9 3-611'i
74,0P corr-ed
OP
paVIE e
CoesWeri
ClAjtjef-S.
5. For lunch Fanya drank a can of cola that had a
diameter of 2 inches and a height of 5 inches.
After school, she drank a can of juice that
measures twice the diameter and twice the
height of the can of cola.
V=
OP awe. *h
Con = 41- i s . 5 = is ,17
5tAtl
In your Answer Document, find the volume of
each can. Show work or provide an explanation
to support your answers.
of 4(10
151*
-=
=
1,95 .
1,25.7
For question 5, respond
11,55er
completely in your Answer
Document. (2 points)
6. A virus measures 0.000022 mm in length..
Which value expresses the length of the virus in
scientific notation?
-4
0
2.2 x 10-5mm
2,2 IC
(93913&D.
avt. fit;;Mak
-6
C. 2.2 x 10 mm
kile. 65 W- oc
c
V:651- lAhole_ nuo,ber r
D. 2.2 x 10-7mm
7. This net is folded to produce a three-dimensional
object.
(-W ich object will this net produce?
B.
4:1bt
D.
X ?
9-imes
Determine how many times larger the volume of
the juice can is than the volume of the cola can.
A. 2.2 x 10 mm
7
inc.)es
8. At the beginning of the day, the owner of a
restaurant opens a new case of take-out boxes.
One case holds 500 take-out boxes. He uses an
average of 35 take-out boxes each day.
Based on his average usage, which expression
represents the number of take-out boxes that
remain d days after the new case of boxes is
opened?
or each in
wok hke, p er
500 - 35d
variable,
B. 500 + 35d
4-be- need Zr 0C. 500d - 35
D. 500d + 35
9. The diagram shows a hexagon drawn inside a
rectangle.
I•-- 3 cm —1.-1
2 cm
tende arect_
6,7
3 cm
7m
L
Thc area_ of
-Tien subifoL4
q
41-a.
A. 21 cm2
B. 24 cm2
30 cm2
D. 54 cm2
0)
ers
3 dt
6 cm --m-1
What is the area of the hexagon?
tin
a
30
02
16. Tonya and her friends earned extra money by
mowing lawns around their neighborhood.
Tonya created a table to show their earnings.
Tonya
Betty
Jose
Mario
Eliza
George
Sue
Pedro
$34
$34
$34
$25
$22
$22
$17
Mein s
'he cu./erase,
adac5 o II \ialues ten
?
ee:(5cid
MEM
Ale. Values ref 104n5
ftwit 814+ch-
/02f fiur fth a
Pedro noticed that Tonya made a mistake. His
earnings were $24, not $8.
How does this change affect the mean of the
group's earnings?
isk'rneeA
al- mean
tc269,C°
Pc94.50
A. The mean remains the same.
I@ The mean increases by $2.00.
C. The mean increases by $3.00.
D. The mean decreases by $9.00.
17. A pattern of shaded and unshaded squares is
shown below.
11;4 (mcle, o- k,Dicle.)
3 4 5.
9
Figure Figure Figure
1
2
3
Figure
4
Figure
5
In your Answer Document, find a formula for or
describe in words the number of shaded
squares in the nth figure.
Find the number of shaded squares in the
50th figure. Show your work or explain your \
50 lob ( shores comer)
answer.
1
g o 96
1^^,
For question 17, respond
completely in your Answer
Document. (2 points)
18. Trapezoid RSTU is shown on the grid.
TO-6s
efacin e
mow_ 11- u,P S
sea.
Which graph shows the image of trapezoid RSTU after it is
tr.nslated 5 units up and 3 units to the left?
B.
MOMWOM. UMMINIMM
MOMMIMMIUMMIMME
EMEM
■■M■■MMM
NOMMIIMMOSIIMM
MMEMM
INAMENTI
OI I
MOW M OMMSE
WETamill MMUMMINI
OMM
NEMMEMTIMME
MMEMOr MEWS
MIUMMEN
IIMOMMOMMEMMU
MUMMINEMMEMS1
glarinffail
D.
C.
MNSMIMMINOMMO
MOMMUMMIMAM
MMINIMMMAMOVAMM
:1212111112::
mum maim
mo
memo
mom
m mom
MIMI=
mumarisimms.
111111p111111
12111L1111111
MOMMIIII
MOM
■■O ■ ■■M ■■■■■■■
■■■■■M■■■M■■M
■M■■■ ■ M ■■■O■■■
WOOMMIMMOMMEM
camel
(ma tePl- 3
1...1‘11 be.,
341 ,
(7.75, 7. (09.5, 7. 0 7 , 7. $a)
71, VR), 7.82
Which shows these numbers ordered from least to
greatest?
dn each
A. 71, 3,4, 7.82, Vio
Ti
3 , •71
B. 1/ 3, 7.82, 4
4 3,4 ,
AD 0_
number.
oat So
dew
,
CO
CD
19. Four numbers are shown.
rean ezmfore-
4-hern
7.82
3 , joi, 71, 7.82
D. 4
20. Zack is packing for a trip to Scotland. He read
that the average temperature in the summer is
18°C during the day and 7°C during the night.
?LA I g° k" 7 ° in Pur C
IN
(F= 5C+32)
What is the difference between the high and low
temperatures in degrees Fahrenheit?
19.8°F
B. 43.0°F
C. 51.8°F
D. 77.4°F
21. A grocery store has a triangular pyramid of soup
cans on display. Steven counts the number of
cans in each of the top five layers. Each
successive layer continues following the same
pattern.
Ft5
-rhea su.63/4-ract ,
/0
A. 25
B. 30
C. 45
(---a 55
-6 cind
arkM.4-eflee..
eirri‘ne._
do-knu, 14te.
al )+7
The display has 10 layers. How many cans are in
the 10th layer?
vt,4
Fr. 5(i)
to
q
(I?) l-sas
'411.10
„, )46
7
eclat:4;0n
The-
3240
c 2
)4
sa'AL cAern
22. Local residents have requested a traffic light at
the intersection of Polk Road and Vine Street.
They claim that the intersection has become
unsafe for their children due to the high volume
of drivers using these roads as shortcuts during
rush hour from 4 p.m. to 6 p.m.
In response, the street department installed a
device that would count cars going through the
intersection. The device counted the total
number of cars each day for a two-week period.
The department used the results to determine the
average number of cars passing through the
intersection each day. They decided the number
was normal for an intersection with no light, and
refused the residents' request.
In your Answer Document, explain how the
residents can claim that the method the
department used to collect the data does not
provide valid information for evaluating their
request.
Explain how the department's method can be
altered to provide more valid data.
st.(teit
buir A.V)e
P
0.1
ovi
atf ortrneni- cDLteded
ce_5-,ctefy\-s
a
elk5 \ hour
(p p
A-ts
tAYe rit concerned
For question 22, respond
completely in your Answer
Document. (2 points)
dole-
-Yur
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kou,r3 bekan
cutn5
on
ci
aio,
kJ
ci
co\
l
. 1 keij shou
v 001 Urn
os-cpstil
ae.Aarrtime
more
' 23. Points
grid.
Q, R,
and
W
are plotted on the coordinate
\NIa_ Scackuocts
-1101- 1-be
pdin-\5 3\ien 'In
aftSvJec
aAck
e
Lse -
one- L3ot\c5
ATorosUosrarn murk
.
50ene 516Q e. 4-6015‘0.Where should point Z be plotted so that
parallelogram QRWZ is formed?
A. (-2, -6)
(-1, -3)
C. (3, -2)
D. (2, -1)
24. A manufacturer wants to make a rectangular
storage box with volume 0.75 cubic meters,
length 1.5 meters, and width 0.4 meters.
What is the height of this box?
A. 0.15 m
B. 0.45 m
0.80 m
1.25 m
01= 'to .11
Mc9 your ,bex-s
gmJo_
IS:
4.)h.
25. Kim is selling sandwiches for a school fundraiser.
She made the chart below to help her
with pricing.
3.95/3
3.75/5
q .zo/ t
Which function represents the cost of the
sandwiches?
1- I. Is
'• is
°LIS ecirj"
.
AU sonde
(x)= 1.15x
B. f(x) = 3.45x
C. f(x) = 1.15x + 3.45
2
D. f(x) = x + 1.15x- 9
26. A banquet center offers a choice of 3 salads,
5 main courses and 4 desserts.
How many different meals can be created by
selecting one salad, one main course and one
dessert?
A. 12
B. 20
C. 35
60
27. Joel has a 50-meter roll of copper wire that
weighs 7.5 kilograms. Approximately how
many meters of wire will be in a new shipment
that weighs 502.5 kilograms?
A.
B.
75 m
610m
3,350 m
D. 3,770 m
Sep t a
poP6r6n
50m
7.5
x
50Q
50 (5b
.75/aS
7, 5
3)
x-r.
Se+Cos
28. Frank makes and sells small picture frames. His
revenue from sales can be represented as
R = S1 3.60x for x frames sold. The cost of
making the frames can be represented as
C = $5.80x + $120 for x frames made.
€94a0
5,80ox i-IX =
reuenue
13 b(co
So 1Qe. Q- X
"This line 17 reakexien pdicA.
Ue wov-la need tosolue, more.
For question 28, respond
completely in your Answer
Document. (2 points)
In your Answer Document, determine the
minimum number of frames Frank must make
and sell in order for his revenue to be greater
than his costs. Show your work or provide an
explanation for your answer.
29. Similar trapezoids are shown.
9
What is the value of
A. 10
13) 12
C. 15
D. 19
n?
Creak 0_
41e_ borse
spec; 33-L2D-90 bianste.
of llle smaitect -1-mce-u5kci
Igen se.,4-- kAp
(3-
9
an
to
-
n
30. The value of x is even, and the value of y is odd.
Which expression will produce an even number?
® x + 2y
B. 2x + y
C. x2 + y2
D.
(x +
o9or--1on
G.
▪
•
31. The
bar graph shows the number of customers in
Rio's restaurant each day last week.
Customers Each Day
1000
900
r. 800
E 700
600
U 500
400
§ 300
z 200
100
0
irnc±e3 a-c'
Spsif
each a01 . •R‘d \e, meaA
osiatn5 voltes
(aierose)
AiseMrvi and avian5
/ / sod\ ‘6,.6k
xce
Day
What is the approximate mean number of
customers per day in Rio's restaurant last week?
A. 360
B. 400
C. 440
500
32. Mitchell is planting tulip bulbs in a
rectangular planter with the
dimensions shown.
V=
I
4( La
isa Li-
8 in.
6
3
Mitchell plans to fill :4- of the planter with soil.
How much soil will Mitchell need?
1,188 cubic inches
1,584 cubic inches
C.
2,107 cubic inches
D. 11,880 cubic inches
11
Qr
7,
°
33. When a car travels at a constant rate, distance
varies directly with time. Which graph could
represent the distance as a function of time?
A
B.
A
A
a)
a
Con,kon-V 'indica\ets
N_
C
3/44-10_1( d-,5Vance- (MA bow,
op_
Time
Time
pc-
34. The employees of a company will vote on two
options for pay increases. The first option states
that each employee will receive a $500 raise; the
second option states that each employee will
receive a 2% raise.
The table shows the annual salaries of the
employees of the company.
Annual Salaries of Employees
Annual Salary
$18,500
$20,300
$24,100
$31,000
$42,000
$58,000
$71,000
01- The- SO-me, 03ei
8107,
eseak, a 101\es. Oct
P(5to ro:kst- and lit.
Setoins
DA-her o-
ra45e.
kke. ern0
kstui ci mask-t'.),r3er you('
(nuke
‘JCA-9-•
- 31
oP ern pl ores bdween O lt
Number of Employees
Receiving the Salary
6
10
18
L.21
5
3
v
1
In your Answer Document, determine which
option is likely to receive the most votes. Support
your response by comparing the effects of each
option on the given salaries.
For question 34, respond
completely in your Answer
Document. (4 points)
k.,
rz.*. 90,a51)
35. A town census was conducted every year for
the past 10 years. The scatterplot below shows
the results of the census.
AP
Population of Town
50,000
40,00D
30,000
• ■
20,000
10,000
■•
■ • EA
-of\n woth.0 be
2 3 4 5 6 7 8 9 10
Years of the Survey
If the linear trend Continues, which prediction
is supported by the data?
A. The population will stay the same for the
next 5 years.
B. The population will reach 120,000 within
the next 10 years.
C. The population will decline steadily over
the next 10 years.
he population will exceed . 50,000 people
ICIDwithin
the next 5 years.
T
36. A ramp is being built next to a 4-inch-high
sidewalk, as shown in the diagram below.
x
Which trigonometric relationship could be used
to find the value of x?
A. cos10°=
B.
4
x
COS10°=-74
4
tan10°= —
x
D. tan10°=- x
In, kat, d allovan
.where
t6ltA1/21,
s
rs
n 5 1hen ‘t)
37. The number of hamburgers sold at a local
restaurant varies inversely with the price that is
charged. The number, n, of hamburgers sold at
a price, p, in dollars can be found using the
formula n = 687.5 Approximately how many
p
hamburgers did the restaurant sell if the price
of the hamburgers was $3?
ettoiion
A. 278
229
C. 225
D. 215
38. The areas in square miles of the Great Lakes are shown
in the bar graph.
Areas of the Great Lakes
sl y0 30,000
,A7V- aitc
20,000
g
g
Mole a. goo
10,000
17
ec
o2
x
Dn
Pe, sen\e, and odd Alen-%
1-osekinex
Based on this graph, which set of numbers is the closest
to the total area of the five Great Lakes?
A.
B.
D.
between 70,000 and 80,000 square miles
between 80,000 and 90,000 square miles
between 90,000 and 100,000 square miles
between 100,000 and 110,000 square miles
Q.Amok 17aseci
39. Points R and T are the midpoints of the sides of
triangle QSU, as shown in the diagram below.
S
e0C6 5.)8e,
0 g .6c-
s maller
I 0,3e,
A
A
i5 hog P
(small
Teri. ,Aer : aJd all 1-besides ,
Q
What is the perimeter of ARST?
A. 26
40
C. 54
D. 80
40. The vertices of a kite are located at the points
P (-2, -1), Q (-1, -2), R (-2, -5), and S (-3, -2).
The image of the kite is reflected over the
x-axis, and then the reflected image is
translated 3 units to the right and 2 units up.
In your Answer Document, provide the
coordinates for the vertices of the final image
of the kite. Provide a graph, calculations or
reasoning to explain how you determined
the coordinates.
41e.. f c> “1-ks
on
cesqe060 an a Icrcilis
For question 40, respond
completely in your Answer
Document. (2 points)
star rapt and ergrn,
°C‘
1-he coo( Anoie.) 9-C -41e,
go al S
02 . •
ma.5
.s w2
1
41. What is the value of the expression n-- — if n=q
31
w=-6 and q= 3?
Ong
'n eArevi1/2
I \)
3
31,0
3
-
_5 ti
42. Population data for Ohio is provided in the table below.
1998 Ohio Population Data
White/Nonhispanic
Hispanic
Black
All other
Total Population
Male
4,459,172
76,660
606,772
72,969
5,215,573
Female
4,950,779
79,554
682,989
78,608
5,791,930
Based on the data, what is the probability,
rounded to the nearest ten thousandth, that a
male selected at random in Ohio in 1998 would
have been Hispanic?
A. 0.4910
0.0170
.0147
D. 0.0070
1
Ose41J—E—
"`n2963
T64-0_1 ih ai
(rJ"'
Total
9,409,951
156,214
1,289,761
151,577
11,007,503
Mile)(00
5-1,2145
43. A company is comparing two different postage plans for
next year. The company can purchase a postage plan
where the total cost, 0 1 , is $45,000 plus $3,000 per
mailing, where n is the number of mailings. The cost,
02, of the other plan is $0.35 for each piece, p, mailed.
Which of the following is a set of equations modeling
the costs of the two plans?
A. ci = 45000n + 3000
c2 = 0.035p
Ter
4- each i
-Qc-
B. al = 45000 + 3000n
02 = 0.35 + p
nchcae Alie-n
\JO/ICS \
C. ci = 45000n + 3000
02 = 0.35 + p
= 45000 + 3000n
c2 = 0.35p
44. The Johnsons were going to a family wedding
and drove a total of 1,244 miles to reach their
cousin's house. They spent 9 hours driving the
first day at an average speed of 60 miles per
hour. They reached their cousin's house on the
second day after driving 11 hours.
What was their average speed on the second
day?
A. 60 miles per hour
B. 62 miles per hour.
aaa
9 ha
64 miles per hour
D. 78 miles per hour
704
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