1. art and entertainment
2. books and literature

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2010 ISAT Mathematics Form LM Sample Book - Grade 6
XIH110
1
3484196
3
There are 50 beans in a bag.
Twenty percent (20%) are red.
Anna runs 100 meters in ten
and sixty-two hundredths
seconds.
How many are red?
How is her time written as
a number?
A
1.62 seconds
≥B
C
10.62 seconds
100.62 seconds
D
1062.00 seconds
5
10
20
30
A
≥B
C
D
3528353 3528353.AR1
4
Use your centimeter ruler to answer
the question.
3484192
2
What number goes in the
?
10 $ 16 # 2 " 4 !
12
42
52
72
A
≥B
C
D
About how long and wide in
centimeters is the rectangle?
A
5.0 cm by 3.0 cm
B
5.5 cm by 3.5 cm
≥C
5.5 cm by 3.0 cm
D
6.0 cm by 3.5 cm
GO ON
5
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3484200
5
3484200_AR1 to AR4
3484203
6
Which rectangle has an area of
24 square units and a perimeter
of 20 units?
3484203_AR1
Which is closest to the measure
of ∠XYZ?
12
A
X
2
Y
8
B
3
5
C
4
20°
90°
130°
A
B
C
160°
≥D
3484221
7
Mike has x baseball cards.
Tyrone has 3 times as many baseball
cards as Mike.
Frank has 20 baseball cards.
6
≥D
Z
4
Which expression represents
how many cards they have in
all?
≥A
x ! 3x ! 20
B
20 ! 3x " x
C
x ! 3 ! 20
D
20 " 3x ! x
GO ON
6
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3484224
8
3349428
10
What value of n makes the
equation below true?
What is the value of the expression below
when x = 6 and y = 2?
4n # 220
8x " y
84
A
≥
46
12
4
B
C
D
3484225
9
50
55
A
≥B
220
C
D
3484229
11
3484225_AR1
216
3484229_AR1
What should be the value for x
in the triangle shown?
Which correctly describes the
rule between x and y ?
x
x
y
4
9
5
11
6
13
7
15
A
y#x!6"1
B
y#x•x"1
C
y#x!x"1
≥D
y#x•2!1
50°
60°
10°
40°
A
B
≥
70°
90°
C
D
GO ON
7
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3484232_AR1
XIJ321.AR1
13
Lines w and x intersect lines y and z
to make a rectangle.
Ta
ll
Fra
nk
lin
3484232
12
ey
Holloway
Pierce
w
Starlight
x
y
z
Which streets do not intersect?
Which is true?
A
Line x is parallel to line y.
A
Talley and Franklin
B
Line x is parallel to line z.
B
Starlight and Pierce
Line w is perpendicular
to line y.
C
Franklin and Holloway
≥D
Holloway and Starlight
≥C
D
Line w is perpendicular
to line x.
GO ON
8
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3484235
14
3484235_AR1
3349454
15
3349454_AR1
Triangle RST is similar to
triangle XYZ.
What solid figure will this
pattern make when it is folded
along the dotted lines?
Y
R
X
Z
S
T
RS corresponds to which side of
triangle XYZ?
A
Rectangular pyramid
B
Square pyramid
SR
YZ
XZ
C
Triangular prism
A
B
C
≥D
XY
≥D
Cube
GO ON
9
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2010 ISAT Mathematics Form LM Sample Book - Grade 6
XJE380
16
XJE380_AR1
Students voted for their favorite books.
7
Football
6
5
4
26
3
2
7
1
ts
or
te
ys
M
Sp
ry
sy
ta
Fa
n
im
An
ve
nt
ur
e
al
0
Ad
Number of Votes
3349380_AR1
The Venn diagram shows how many
students play baseball and football.
Books We Like
8
3349380
17
32
Kinds of Books
Baseball
How many more students
voted for books about
adventures than books about
sports?
How many students play
baseball but not football?
0
1
2
3
A
B
C
≥D
39
33
≥ 32
26
A
B
C
D
GO ON
10
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349383
18
3349383_AR1 to AR5
Carl has 16 books. The bar graph shows the number of each type of book.
Number of Books
Carl’s Books
10
8
6
4
2
0
Biography
Art
Fiction
Mystery
Type of Book
Which circle graph best shows the types of books Carl has?
Carl’s Books
Carl’s Books
Biography
Art
Art
Mystery
Fiction
Fiction
Biography
A
Mystery
C
Carl’s Books
Carl’s Books
Art
Art
Fiction
Fiction
Biography
Biography
Mystery
Mystery
≥B
D
GO ON
11
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3484236
19
3484240
20
Greg took five tests.
Each test is worth 100 points.
3484240_AR1 to AR4
Which spinner is most likely to
have the arrow stop on B?
Here are Greg’s scores:
85, 87, 87, 89, 97
What is Greg’s mean (average)
score for these five tests?
89
88
87
12
≥A
B
C
D
B
R
G
Y
B
R
Y
B
A
≥B
B
C
Y
B
R
B
R
Y
D
G
B
R
Y
12
GO ON
3349451
3349451_AR1 to AR4
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349080
22
21
3349080_AR1
:*4$;"1,$24<&-(4&4,$,164,$
7",$&3-*$=14*&-"<.
!""#$%&$'"()*$+",#$!-*&.
.
/"0$(123$&-(4$5"4*$-&$&%#4$
&"$5"$%66$"7$'"(8*$0",#$9
Tom's Work List
Work
Time
Read Book
3
hour
4
Cut Grass
1
1 hours
4
B
C
D
Key: 1cm = 5 feet
/"0$7%,$-*$-&>$-<$744&>$7,"($&34$&,44
$&"$&34$*0-<?9
1
2 hours
4
Fix Car
3
Tree
1 hour
2
Clean Room
A
Swing
6
hours
14
3
3 hours
4
1
4 hours
2
3
4 hours
4
≥
A
4 feet
B
5 feet
C
20 feet
D
25 feet
≥
3349454
GO ON
13
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349423
23
24
'34$?,%A3$*3"0*$%$6-<4%,$4=1%&-"<.
+3-23$&%@64$best 7-&*$&34$
4quation?
y
20
y=x+4
18
16
A
x
y
14
0
0
12
1
1
2
2
6
3
3
4
10
8
2
B
≥C
D
x
y
0
4
1
4
2
4
3
4
x
y
0
4
1
5
2
6
3
7
x
y
0
0
1
4
2
8
3
12
0
2
4
6
8
10 12 14 16 18 20
x
If x is 8 on the graph, what is y?
≥
A
4
B
14
C
16
D
18
≥
≥
25
Jan has 18 cards.
Ray gives her v cards.
Jan now has less than 30 cards.
Which best describes Jan's cards?
A
v " 18 $ 30
≥B
v ! 18 % 30
C
v " 18 % 30
D
v ! 18 $ 30
STOP
14
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
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).
17
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
!1
3484241
3484241_AR1
3484241
3484241_AR1
Use the number line below to answer the following questions.
What number best represents the location of point A?
What number best represents the location of point B?
A
0
B
1
2
3
Label your answers.
!1
Usa la línea numerada de abajo para responder a las siguientes preguntas.
¿Qué número representa mejor la ubicación del punto A?
¿Qué número representa mejor la ubicación del punto B?
A
0
B
1
2
3
Marca tus respuestas.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 1.
21
GO ON
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349370
!2
B
10 in.
A
1 in.
3 in.
C
8 in.
4 in.
12 in.
6 in.
D
6 in.
12 in.
5 in.
3349370_AR1
6 in.
3 in.
Which rectangular prism has the greatest volume?
Volume of a rectangular prism # length & width & height
Show your work.
!2
3349370
B
10 in.
A
1 in.
3 in.
C
8 in.
4 in.
5 in.
12 in.
12 in.
3 in.
3349370_AR1
6 in.
D
6 in.
6 in.
¿Qué prisma rectangular tiene el mayor volumen?
Volumen de un prisma rectangular = largo x ancho x altura
Demuestra tu trabajo.
NO ESCRIBAS AQUÍ.
USA LA PÁGINA __ EN TU DOCUMENTO
DE RESPUESTAS PARA CONTESTAR
LA PREGUNTA 2.
22
GO ON
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349372
!3
3349372_AR1
Using toothpicks, Julio made a pattern of equilateral triangles. He recorded the number of
triangles made and the number of toothpicks used in a chart.
Number of Triangles Made
1
2
3
4
5
Number of Toothpicks Used
3
5
7
9
11
Using this chart, how many toothpicks would Julio use to make a figure with
10 equilateral triangles?
Show your work.
DO NOT WRITE HERE.
USE PAGE __ IN YOUR ANSWER
DOCUMENT TO ANSWER QUESTION 3.
23
GO ON
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349372
!3
3349372_AR1
Usando escarbadientes, Julio hizo un patrón de triángulos equiláteros. En un gráfico,
registró la cantidad de triángulos hechos y la cantidad de escarbadientes utilizados.
Cantidad de triángulos hechos
1
2
3
4
5
Cantidad de escarbadientes
utilizados
3
5
7
9
11
¿Cuántas latas deben poner en cada caja?
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 3.
24
STOP
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
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).
37
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
!"
3484244
3484244_AR1
Austin, Ben, Catina, and Darius collected cans for a local food shelter. They will put
the same number of cans in each of 4 boxes. The number of cans each student
collected is shown.
Austin
Ben
Catina
Darius
18 cans
25 cans
8 cans
13 cans
Box 1
Box 2
Box 3
Box 4
How many cans should they put in each box?
Show all your work. Explain in words how you found your answer. Tell why you took
the steps you did to solve the problem.
DO NOT WRITE HERE.
USE PAGE __ IN YOUR ANSWER
DOCUMENT TO ANSWER QUESTION 1.
42
GO ON
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3484244
!"
3484244_AR1
Austin, Ben, Catina y Darius recogieron latas de alimentos para un refugio local.
En cada una de 4 cajas colocarán la misma cantidad de latas. Se muestra la
cantidad de latas recolectadas por cada estudiante
Austin
Ben
Catina
Darius
18 latas
25 latas
8 latas
13 latas
Caja 1
Caja 2
Caja 3
Caja 4
¿Cuántas latas deben poner en cada caja?
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 ".
43
GO ON
_____________________________________________________________
2010 ISAT Mathematics Form LM Sample Book - Grade 6
3349092
!2
Use your centimeter ruler to help you solve this problem.
Make a scale drawing of a straight bike path that is 24 miles long. Use the scale
1 centimeter represents 3 miles.
You must include:
• A beginning point.
• An ending point.
• A drinking fountain that is 6 miles from the ending point of the path.
Label all parts of the path.
Show all your work. Explain in words how you found your answer. Tell why you took
the steps you did to solve the problem.
3349092
!2
Utiliza la regla de centímetros para ayudarte a resolver este problema.
Dibuja en escala el sendero de una bicicleta que tiene 24 millas de largo. Usa la escala,
1 centímetro representa 3 millas
Debes incluir:
•· Un punto de partida.
•· Un punto de llegada.
•· Un bebedero a 6 millas del punto de llegada.
Marca todas las partes del sendero.
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 ".
44
STOP