ISEE SSAT HSPT
Mixed Numbers
Lower
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Middle
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Upper
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Mixed numbers contain an integer followed by a proper fraction. Before trying to solve problems that contain
mixed numbers, it’s best to convert the mixed number into an improper fraction.
Mixed Numbers Exercise #1
Convert each mixed number into an improper fraction.
1. 1 ____
2. 3 ____
3. 4 ____
4. 5 ____
5. 6 ____
6. 2 ____
Helpful Hint
A proper fraction has a numerator
that’s smaller than the denominator.
An improper fraction has a
denominator that’s larger than the
numerator.
Mixed Numbers Exercise #2
Convert each improper fraction into a mixed number.
1. 3. 172 5.
2.
4.
6.
1.
2.
3.
Mixed Numbers Activity
Whatisthevalueoftheexpression2
3 ?
5.
4
2
(A) 5 (A) 3 (B) 5 (B) 4 (C) 6 (C) 5 (D) 6 (D) 6 Whatisthevalueoftheexpression5
2 ?
6.
Whatisthevalueoftheexpression5
(A) 1 (A) 1 (B) 2 (B) 2 (C) 2 (C) 4 (D) 3 (D) 5 3
2
2 ?
(A) 5 (B) 6 (C) 8 (D) 10 4.
Seanhas5 slicesofpizza.Adaylater,heonly
has ofhispizzaremaining.Howmanyslices
ofpizzadoeshehaveleft?
(A) 1 (B) 2 (C) 3 (D) 4 Numbers & Operations 173 ISEE SSAT HSPT
Percent Change
Lower
Middle
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Upper
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Percent change problems are the same as basic percent problems but with an extra step at the end. To answer
these problems, you must calculate a percentage and then either add or subtract the percentage from the
original number.
Percent Change Exercise
Increase and decrease each number by the given percent. Estimate if necessary.
Helpful Hint
Other ways to say
percent change:
 discount
 mark-up
 increased by
 decreased by
1.
2.
3.
4.
5.
Increase
Decrease
100by15% ____
____
20by10% ____
____
30by20% ____
____
28by25% ____
____
15by33% ____
____
1.
Percent Change Activity
Whichvalueis30%lessthan20?
(A)
(B)
(C)
(D)
2.
3.
$7
$14
$42
$55
Whichvalueisequivalentto16increasedby
75%?
(A)
(B)
(C)
(D)
188 6
10
14
18
Kylehas$35.Ifheincreasesthatamount
by20%,howmuchmoneywillhehave?
(A)
(B)
(C)
(D)
4.
4
12
24
28
When isincreasedby25%,theresultis45.
Whatisthevalueof ?
(A)
(B)
(C)
(D)
5.
20
36
44
52
TheDiscountSushiEmporiumisrunninga
saleonwasabi.Duringthefirstweekofthe
sale,thepriceisdiscountedby15%.During
thesecondweekofthesale,thepriceis
discountedanadditional10%.Ifthewasabi
wasoriginally$20,whatpricewillcustomers
payduringthesecondweekofthesale?
(A)
(B)
(C)
(D)
$15.00
$15.30
$16.00
$16.30
ISEE SSAT HSPT
Statistics
Lower
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Middle
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Upper
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Basic statistics are used to describe sets of numbers and to predict trends in data.
Statistics Exercise
Define each term.
1. mean
2. median
____
____
3.
4.
5.
6.
7.
mode
____
range
____
lineofbestfit
____
quartile
____
____
Helpful Hint
You do NOT need to be
able to calculate standard
deviation. You simply
need to be familiar with
the concept.
1.
2.
308 standarddeviation
Basic Statistics Activity
Kevintook5algebraquizzesandreceived
scoresof64, 92, 86, 78, and95.Whatisthe
rangeofhisscores?
3.
(A)
(B)
(C)
(D)
31
64
83
95
Tomishittingballsatthelocaldrivingrange.
Inhisfirst5hits,theballtraveled197yards,
203yards,195yards,210yards,and191
yards.Whatisthemediandistancetraveledby
theballduringTom’s5hits?
(A)
(B)
(C)
(D)
191yards
195yards
197yards
203yards
Shelbyisrunninglapsforherupcomingtrack
meet.Herrecordedtimesareshowninthe
table.
Lap
Number
Time
(inseconds)
1
2
3
4
5
7.02
6.81
6.34
7.02
7.12
Whatisthemodeofthedata?
(A) 6.34
(B) 6.81
(C) 7.02
(D) 7.12
4.
IfGeorgeaverages17pointspergameforthe
first4gamesofthebasketballseason,how
manypointswillhescoreinthethose4
games?
(A)
(B)
(C)
(D)
5.
15
23
68
72
6.
Asetofconsecutiveintegershasarangeof9
andamedianof5.5.Whatisthefirstquartile
oftheset?
(A)
(B)
(C)
(D)
3
5
7
9
Jon’schemistrygradeistheaverageofhis
4examscores.Jon’sscoresonthefirst3
examswere96,82,and92.Whatisthelowest
possiblescoreJoncanmakeonthefinalexam
andstillearnagradeof90?
(A)
(B)
(C)
(D)
84
86
90
92
Data Analysis & Probability
309