Grade 4 math arizona 09

December 2009

 

Directions:
 
1

2

3

Read each problem and select the best answer.

 
 
 
Johnny used the rule “double the number”
 
to  create the pattern below.
 
3, 6, 12, 24, …
 
 
Which
pair of numbers is part of the
 
 
pattern?
 
A  36, 72

 
B  48, 72
C  96, 144
 
D  96, 192
 
 
Jay
  arranged 48 books into 4 equal piles
to  help him find the quotient of 48 ൊ 4.
  can Jay use this method to find the
How
 
quotient
of 189 ൊ 9?
 
 
A  Put 189 books into 4 equal piles.
B  Put 189 books into 9 equal piles.
 
C  Add 189 to 48 books.
  Put them into 4 piles.
 
D  Add 189 to 48 books.
  Put them into 9 piles.
 
 
Martha
is going to make bracelets to sell
 

for  a fundraiser. She bought 8 meters of
 
yarn.
She wants to cut it into pieces that
 
are 16 centimeters long for each bracelet.
 
How
  many bracelets can Martha make?
 
A 
2
B 
6
 
C  50
 
D 128
 
 
 
 
 

Arizona Department of Education

4

The table below shows the number of
baseball cards Tika collected during four

months.

What is the best estimate for the number
of baseball cards Tika collected in all?

5

A

between 400 and 500

B

between 500 and 600

C

between 600 and 700

D

between 700 and 800

Which number has the same value as
0.14?
A
B

 

0.14%
1.40%

C

14.0%

D

140.0%

 

4

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Grade 4


December 2009

6

7

8

 
 
 

 
 
 
 
 
 
 
 
 
 
 
What best describes the dates that are on Saturdays?
 
 
A  multiples of 2
B  multiples of 3
 
C  multiples of 4
D  multiples of 7
 
 
 
Stacey
used cutouts of two triangles to make the figures below.
 
 
 
 
 
 

 
Figure 1
Figure 2
 
 
 
Which
statement is true about the figures?
 
A  Both figures have the same area.
 
B  Both figures have the same perimeter.
C  Both figures have the same number of sides.
 
D  Both figures have the same number of vertices.
 
 
 
Randy
creates a pattern using the rule “divide by 3.” Which pattern uses Randy’s rule?
 
A  120, 90, 60, 30
 
B  342, 114, 38, 12
 
C 366, 180, 33, 6
 
 
D  540, 180, 60, 20
 

 

Look at the calendar below.

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Arizona Department of Education

5

Grade 4


December 2009

9

10

 
 
 
 
 
 
 
 
 
 
What

portion of the eggs did Mary use to make breakfast?
 
 
2
A 
  12
 
 
2
B 
10
 
 
2
C 
6
 
 
10
D 
  12
 
 
 
Look
at the map below.
 
 
 
 

 
 
 
 
 
Which
vertex-edge graph represents this map?
 
 
A 
C
 
 
 
 
 
 
 
B 
D
 
 
 
 
 
 
 

Mary used some of the eggs from the carton below to make breakfast.

Arizona Department of Education

6

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Grade 4


December 2009

 
14
Look at the number pattern.

11 Juan wants to solve the problem shown
below.

972, 324, 108, 36, …
27 – 21 ൊ 3

If the pattern continues, what will be the
6th number in the pattern?

Which step should Juan do first?
A

21 ൊ 3

A

3

B

27 ൊ 3

B

4

C

27 – 3

C

9

D

27 – 21

D

12

15 Mike left school at 3:40 p.m. He arrived at

12 John has 10 pairs of white socks and 1

home at the time shown on the clock
below.

pair of blue socks in his drawer. There are
no other socks in the drawer. Without
looking, he takes 1 pair out of the drawer.
What are his chances of choosing a white
pair of socks?
A

certain

B

impossible

C

likely

D

unlikely

How long did it take Mike to get home
from school?

13 Nicki’s class needs to raise $89.45 in
order to have a pizza party. So far, she
has collected $62.90. How much more

money does Nicki’s class need to buy the
pizza party?

A

20 minutes

B

25 minutes

C

30 minutes

D

35 minutes

16 What is the solution to the equation?
A

$17.45

B

$26.55

C

$27.55

D

$152.35

Arizona Department of Education

3 2
− =
5 5

7

A

0

B

1
5

C

1

D

5

5

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Grade 4


December 2009

 
 
17 On
Monday, Joel had 17 treats to give his

19 Look at the diagram of Laura’s yard.

puppy. He gives his puppy 2 or 3 treats
each day. The table below shows the
number of treats Joel has left at the end of
each day.

8 ft
4 ft

4 ft

4 ft

4 ft
8 ft

Which expression can Laura use to find
the perimeter of her yard?

Based on the information in the table,
which prediction will most likely happen if
Joel continues to give his puppy 2 or 3
treats each day?
A

Joel may only have 1 treat left to give
his puppy on Sunday.

B

Joel will not have any treats to give
his puppy on Sunday.

C

Joel will have 7 treats to give his
puppy on Sunday.

A

(4 X 4) + (2 X 8)

B

(4 X 8) + (2 X 8)

C

(4 + 4) + (2 + 8)

D

(4 X 8) + (2 X 4)

20 Look at the coordinate plane.
y
10
9
8
7
6
5
4
3
2
1

D Joel may have 4 treats left on
Saturday night.

0

•M
•L

•K

•N

x
1 2 3 4 5 6 7 8 9 10

Which point is located at (3, 5)?

18 Jim has $7.00 that he uses to purchase
school lunch. He spends the same amount
of money each day. Which expression can
be used to show how much Jim can spend
on lunch each day?
A

7+d

B

7–d

C

7ൈd

D

7ൊd

Arizona Department of Education

A

K

B

L

C

M

D

N

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8

Grade 4


December 2009

 
24
Look at the figure.

21 Anna asked her class which subject they
 

 

Number of Students

liked best. She graphed the results.

 

15
10

Which fraction represents the shaded part
of the figure?

5

A

3
8

B

3
5

Based on the graph, which statement is
true?

C

5
8

A

More students like Math than Science.

D

B

Reading and Math are liked the same.

5
3

C

More students like Science than Art.

D

Reading is liked best by all students.

0

Reading

Art Math
Class

Science

25 Lizeth is having a birthday party. She
invited 19 people. She will buy enough
juice boxes so each person can have at
least 1. If the juice boxes come in packs of
6, how many packs should Lizeth buy?

22 The rule for finding the cost of any number
of tickets (t) is multiply t by $4. How many
tickets will $20 buy?

A

1

A

3 tickets

B

2

B

4 tickets

C

3

C

5 tickets

D

4

D

6 tickets

26 Which expression will not solve 59 X 20?
23 Which list shows all factors of 72?
A

(50 X 20) + (9 X 20)

A

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

B

(59 X 10) + (59 X 10)

B

2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

C

(59 X 10) + (1 X 20)

C

1, 2, 3, 4, 8, 9, 18, 24, 36, 72

D

(60 X 20) – (1 X 20)

D

2, 3, 4, 6, 8, 9, 12, 18, 24, 36

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Arizona Department of Education

9

Grade 4


December 2009

 
29
Dylan had a whole cupcake in his lunch

27 Marcus bought a pet frog. He went to a
 

 

pet store to buy some supplies for the
frog’s home. He found a list of frog rules in
the pet store.
•
•
•
•

1
of his cupcake. How
4
much of the cupcake does he have left?

bag. He ate only

Small sized frogs need to live in a
10 gallon tank.
All frogs need warm light or
sunshine.
All frogs need water to keep their

skin moist.
Frogs eat 5 bugs and worms per
day.

What information should the pet store
owner ask Marcus before he sells him the
supplies?
A

How big is your frog?

B

What is your frog’s name?

C

When did you get your frog?

D

Do you like bugs and worms?

A

1
4

B

1
2

C

1
3

D

3
4

30 What are the coordinates of the endpoints
of the line segment?
y
8
7
6
5
4
3
2
1

28 Which pair of figures appears to be
congruent?

0

A

B

1 2 3 4 5 6 7 8

A

(7, 4) and (2, 4)

B

(2, 7) and (4, 2)

C

(2, 4) and (7, 2)

D

(4, 2) and (7, 2)

x

31 Which list is in order from greatest to
least?

C

D

Arizona Department of Education

10

A

0.87, 0.75, 1.25, 0.15

B

1.20, 1.00, 0.91, 0.95

C

1.52, 1.05, 0.84, 0.06

D

0.08, 0.79, 1.02, 1.19

Go On►
Grade 4


December 2009

 
32 Sandy
solved the problem below in her math class.

78
x 15
390
+ 780
1170
What is another way that Sandy could solve the problem?
A

Sandy can determine 78 X 10, then add that to 78 X 5.

B

Sandy can determine 70 X 10, then add that to 8 X 5.

C

Sandy can determine 78 X 10, then add that to 5 X 10.

D

Sandy can determine 70 X 10, then add that to 15 X 10.

33 Look at the data set.
51, 35, 28, 49, 28, 46, 29
What is the median of the data set?
A

23

B

28

C

35

D

38

34 What is the solution to the equation?
3 X 10 + (9 X 2) =
A

48

B

78

C

84

D 114

Arizona Department of Education

11

Grade 4