_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3484053
3
3484053_AR1
3484054
4
A pizza is cut into 8 equal pieces.
Ben eats 2 pieces.
Sam eats 3 pieces.
3484054_AR1
A store is having a sale.
The items are 50% off regular price.
Items on Sale
3
5
A
B
≥
Regular Price
(including tax)
Hat
Shirt
CD
Coat
$ 10.95
$ 21.05
$ 15.95
$ 21.92
About how much money is
needed to buy 1 of each item at
the sale price?
What fractional part of the
pizza did Ben and Sam eat?
3
8
Item
5
8
8
5
$30
C
D
A
$35
≥B
$60
$70
C
D
3484055
5
A school has fifty teachers.
Six out of every ten teachers
have a pet.
How many teachers have a pet?
A
6
B
10
≥C
30
D
66
GO ON
6
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3484056
6
3528387
8
Anish went to sleep at 9:00 P.M. and
woke up at 6:30 A.M.
3528387_AR1
Use your centimeter ruler to answer
this question.
How long did he sleep?
A
3
1
hours
2
B
7
1
hours
2
C
8
1
hours
2
≥D
9
1
hours
2
Which is closest to the
perimeter of this triangle?
3484057
7
3484057_AR1
A
5 cm
B
7 cm
≥C
12 cm
D
15 cm
What is the perimeter of the
figure?
3484058
9
6 feet
What is the value of the expression
below when m = 4?
m+m-3
5 feet
1
A
2 feet
10 feet
≥
5
B
11
C
13
D
?
?
36 feet
≥A
28 feet
23 feet
13 feet
B
C
D
GO ON
7
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3484059
10
3484059_AR1
12
The drawing below is an
input-output machine.
What is n ?
Input
≥
3347613
Add 7
Subtract 3
Output
The input is 5.
What is the output?
A
B
≥
9
12
C
D
ne
4
XIJ321.AR1
El
Pi
2
XIJ321
13
m
Ash
Maple
3484060
11
Oak
Mr. Smith is 36 years old.
His son is 8 years old.
Mrs. Smith is n years old.
Their three ages added
together equals 77.
Which correctly represents
this information?
Which streets do not intersect?
A
Elm and Pine
36 # n ! 8 " 77
B
Oak and Maple
C
77 # 36 ! 8 " n
C
Pine and Ash
≥D
36 ! n ! 8 " 77
D
Ash and Oak
A
77 ! 36 ! 8 " n
B
GO ON
8
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3347619
14
3347619_AR1
What type of angle is made by
the hands of the clock?
1112 1
2
10
9
3
8
4
76 5
≥A
B
Obtuse
C
Acute
Right
D
Straight
3484062
15
3484062_AR1
Which two figures look congruent?
M
N
P
O
O and M
N and P
A
B
Q
N and R
≥
C
R
P and Q
D
GO ON
9
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3484061
16
3484061_AR1
3484064
17
3484064_AR1
The graph shows daily temperatures
for North Town.
What is the distance from
point G to point H?
Average Daily Temperature
G
10
A
3 units
≥B
10 units
C
13 units
D
26 units
35°
20
Temperature (°F)
0
H
30°
25°
20°
15°
10°
5°
0°
Sun. Mon. Tues. Wed. Thurs. Fri.
Sat.
Day
What is the difference in the
average daily temperatures for
Monday (Mon.) and Wednesday
(Wed.)?
0 °F
≥A
5 °F
10 °F
25 °F
B
C
D
GO ON
10
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3408731
18
XIF606
20
Beth recorded the highest
temparature for seven days.
XIF606.AR1 to AR5
Tim’s mother put these cookies on
a plate.
90°, 87°, 95°, 96°, 93°, 88°, 88°.
What is the mean (average)
temparature?
88°
90°
A
B
≥
91°
96°
C
D
3484065
19
Tim takes a cookie without
looking.
3484065_AR1
Which will he most likely get?
The spinner has six equal parts.
1
6
2
5
3
A
C
≥B
D
4
What is the probability that
the arrow will land in a space
labeled with an odd number?
1
6
2
6
A
B
≥
3
6
4
6
C
D
GO ON
11
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
21
22
3347639
The dimensions of a rectangular
prism are shown below.
!"#$%&'(#$)"*+)$%"#$&,#&$-.
)/0&,#$1-(#)$2*,$3$4-22#,#.%$)%&%#)5
!"#$%*%&($.01'#,$*2$)/0&,#$1-(#)$2*,$
%",##$)%&%#)$-)$66786395
2 in.
State Square Miles
State
Square Miles
Illinois
55,593
Hawaii
6,423
Ohio
Vermont
Wisconsin
6 in.
5 in.
40,953
9,249
What is the volume of this
rectangular prism?
(Volume " l $ w $ h)
54,314
:"-;"$<$)%&%#)$&,#$-.$%"#$%*%&(=
≥A
Illinois, Vermont, Wisconsin
B
Vermont, Wisconsin, Hawaii
C
Wisconsin, Ohio, Vermont
D
Ohio, Hawaii, Illinois
A
13 cubic inches
B
30 cubic inches
C
60 cubic inches
D
104 cubic inches
GO ON
12
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3347613
23
25
On Todd's map, 1 inch = 200 miles.
It is 5
Which is true about the prism?
iinches from Todd's house
to his friend's house on the map.
B
A
How many miles is it from Todd's
house to his friend's house?
≥
D
F
E
24
C
G
H
A
AD intersects BF .
B
BC is parallel to CG .
C
GH is parallel to AE .
D
AE is perpendicular to EH .
>,&.4*.$+#-?")$3@$A*0.4)5$B&%#
+#-?")$(#))$%"&.$>,&.4*.5
C2$B&%#$+#-?")$. A*0.4)8$+"-;"
*2$%"#)#$-)$%,0#?
A
n % 58
B
C
n " 58
n & 58
D
n ! 58
STOP
13
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
Short-Response Sample Items
Followed by Scoring Rubric
Student Samples
Using Short-Response Samples
Beginning with the spring 2008 ISAT, the sample short-response question and answer (shown below) that
appeared in the 2006 and 2007 ISAT test directions will no longer be included in the directions immediately
prior to session 2. ISBE encourages educators to practice these types of items with students during the course
of the school year so they are familiar with them prior to ISAT testing.
SAMPLE SHORT-RESPONSE QUESTION
Sam can buy his lunch at school. Each day, he wants to buy juice that costs 50¢,
a sandwich that costs 90¢, and fruit that costs 35¢.
Exactly how much money does Sam need to buy lunch for 5 days?
Show your work and label your answer.
SAMPLE SHORT-RESPONSE ANSWER
$1.75
50¢ + 90¢ + 35¢ =each
day
for
My answer
$8.75
3 2
1.75
1.75
1.75
1.75
5
1.7_
+_
_
$8.75 for five days
Please refer to the 2006 and 2007 ISAT sample books for additional short-response items and student
samples (online at www.isbe.net/assessment/htmls/sample_books.htm).
16
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3484066
1
Draw a closed figure with 5 sides. Make 2 of the angles right angles.
3484066
1
Dibuja una figura cerrada con 5 lados. Haz que 2 de los ángulos sean rectos.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 1.
20
GO ON
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3347656
2
Draw a rectangle in your answer document, and label the vertices E, F, G, and H.
List all the pairs of line segments that are parallel.
3347656
2
Dibuja un rectángulo en tu respuesta, y señala los vértices con E, F, G y H.
Enumera los pares de líneas que son paralelas.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 2.
21
GO ON
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3347658
3
3347658_AR1
Triangle ABC is similar to triangle DEF.
D
A
?
5
4
B
3
E
C
6
F
Find the measure of DE. Show your work.
DO NOT WRITE HERE.
USE PAGE __ IN YOUR ANSWER
DOCUMENT TO ANSWER QUESTION 3.
22
GO ON
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3347658
3
3347658_AR1
Triángulo ABC es similar al triángulo DEF.
D
A
?
5
4
B
3
E
C
6
F
Calcula la medida de DE. Muestra tu trabajo.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 3.
23
STOP
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
Using Extended-Response Samples
Beginning with the spring 2008 ISAT, the sample extended-response problem and solution (shown below)
that appeared in the 2006 and 2007 ISAT test directions will no longer be included in the directions
immediately prior to session 3. ISBE encourages educators to practice these types of items with students
during the course of the school year so they are familiar with them prior to ISAT testing.
SAMPLE EXTENDED-RESPONSE PROBLEM
Mrs. Martin wants to put tiles on the floor by the front door of her house. She wants
to use 3 different colors of tiles in her design.
She also wants
1
— of the tiles to be blue,
2
1
— of the tiles to be gray, and
4
1
— of the tiles to be red.
4
Use the grid below to design a floor for Mrs. Martin. Label each tile with the first
letter of the color that should be placed there.
Show all your work. Explain in words how you found your answer. Tell why you
took the steps you did to solve the problem.
SAMPLE EXTENDED-RESPONSE SOLUTION
B
B
G
R
B
B
G
R
B
B
G
R
B
B
G
R
B
B
G
R
B
B
G
R
–1
2 blue
–1 gray
4
–1
4 red
First, I know that there are 4 equal rows, so 2 rows is half and
1 row is –41 . So I made 2 rows B for blue because she wants
half the tiles blue. Then I made 1 row G for gray because she
wants –41 of the tiles to be gray. Since she wants gray and red
to be the same amount of tiles, I made the last row R for red.
Please refer to the 2006 and 2007 ISAT sample books for additional extended-response items and student
samples (online at www.isbe.net/assessment/htmls/sample_books.htm).
35
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3484067
1
The number of fifth-grade students going to the museum is greater than 30 but less than
50. Each student will have a partner on the bus. At the museum, there will be groups of
exactly 6 students.
How many students could be going to the museum?
Show all your work. Explain in words how you found your answer. Tell why you took
the steps you did to solve the problem.
3484067
1
La cantidad de alumnos de quinto grado que va al museo es mayor de 30 pero menor de 50.
Cada estudiante tendrá un socio en el autobús. En el museo habrá grupos de exactamente 6
estudiantes.
¿Cuántos estudiantes podrán ir al museo?
Demuestra tu trabajo. Explica con palabras cómo llegaste al resultado. Relata por qué
seguiste esos pasos para solucionar el problema.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 1.
40
GO ON
_______________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 5
3347647
2
There were 84 students at a party. Square tables and round tables were used for seating.
Each square table had 8 seats, and each round table had 10 seats.
How many square tables and round tables could have been used so that all
84 students had a seat and there were no empty seats?
Show all your work. Explain in words how you found your answer. Tell why you took
the steps you did to solve the problem.
2
3347647
En una fiesta hay 84 estudiantes. Para sentarlos se usaron mesas redondas y cuadradas.
Cada mesa cuadrada tiene 8 lugares, y cada mesa redonda 10 lugares.
¿Cuántas mesas cuadradas y redondas se usaron para ubicar a los 84 estudiantes, sin que
hayan sobrado sillas?
Demuestra tu trabajo. Explica con palabras cómo llegaste al resultado. Relata por qué
seguiste esos pasos para solucionar el problema.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 2.
41
STOP