Grade 4 math pennsylvania 09 answers

MATHEMATICS
MULTIPLE-CHOICE ITEMS
During an assessment, students would not be permitted to use a calculator on items 1–4.
A.3.1.3

A.3.2.1

1.

3.

Linda needs to buy horseshoes
for 24 horses. Each horse needs
4 horseshoes. About how many
horseshoes does Linda need to buy?

Subtract:
82.12 ] 6.50
A

17.12

82.12 ] 65.0

A

30

25 + 5

B

75.62

B

80

20 3 4

C

81.47

82.12 ] 0.65

C

100

D

84.42

difference between digits

D

125

*

25 3 5

*

4MSA321

41-5065

A.3.2.1
A.3.1.3
2.

4.

Solve:

Which estimate is closest to 5,790 + 4,013?
A

8,000

4,000 + 4,000

B

9,000

5,000 + 4,000

C

10,000

D

11,000

*
6,000 + 5,000

Grade 4 Mathematics Item Sampler 2008–2009

879.56 – 498.87
A

380.69 *

B

381.79

didn’t borrow in tenths place

C

421.31

subtracted greatest – least for each
place

D

481.69

didn’t borrow in ones place or
hundreds place

4


MATHEMATICS

During an assessment, students would not be permitted to use a calculator on items 5 and 6.
A.3.2.2

A.3.2.2

5.

6.

Find the sum.

Solve:

4
}
7
+ }1
7

A

3
}
14

A

1
}
5

difference

B

5
}
10

3 + 2; 5 + 5

C

6
}
10

3 × 2; 5 + 5

D

5
}
5

4 ] 1; 7 + 7

5
}
14

4 + 1; 7 + 7

C

3
}
7

4 1
}]}
7 7

D

5
}
7

B

3
2
} + }
5
5

*

*

4MSA322

Grade 4 Mathematics Item Sampler 2008–2009

5


MATHEMATICS
A.1.1.1

A.1.1.2

7.

8.

Maddox shaded some circles, as shown

below.

Natalie is painting some benches. She
has already painted 1 }3 benches. Which
5
drawing could show the benches Natalie
has painted so far?

Which mixed number shows how many
circles Maddox shaded?
A

3 1}
8

B

3 7}
8

C

4 1}
8

1
4 circles + } unshaded
8

D

4 7}
8

7
4 circles + } shaded
8

1
3 shaded wholes + } unshaded
8

A
3
1
} and }
5
5

B

*

4MSA111

3
3
} and }
5
5

C
2
1}
5

D
*
4MSA112

Grade 4 Mathematics Item Sampler 2008–2009

6


MATHEMATICS
A.1.1.3

A.1.1.4

9.

11. A store sent out 5,221 announcements
last year. Which shows the word form
of 5,221?

What is three thousand fourteen and
eight-tenths written in standard form?
A

3,014.08

B

3,014.80

C
D

3,140.08
3,140.80

eight-hundredths

A

five thousand twenty-one
error in the 100s place

*
one hundred forty;
eight-hundredths

B

fifty thousand two hundred
twenty-one
50 instead of 5 for 1000s place

one hundred forty

C

fifty-two thousand twenty-one
error in the 1000s place

D

A.1.1.4

five thousand two hundred
twenty-one
*

10. What is 8,487 in expanded form?
41-5059

8,000 + 400 + 87

tens and ones not
separate

B

8,000 + 400 + 870

8 and 7 in wrong
place and not
separate

C

8,000 + 400 + 80 + 7 *

D

8,000 + 40 + 8 + 7

A

4 and 8 in wrong
place

Grade 4 Mathematics Item Sampler 2008–2009

7


MATHEMATICS
A.1.2.1

A.1.2.2

12. Victor needs 1}1 cups of milk for a
3
recipe. Which point shows the amount

14. At the school carnival, the principal
selected 4 tickets for a door prize. The
ticket numbers are shown below.

Victor needs?
W X
0

79342
79432
81254
81204

Y Z
1

2

A

W

1
}
3

Which shows the ticket numbers from
least to greatest?

B

X

2
}
3

A

79342, 79432, 81204, 81254
*

C

Y

B

79342, 79432, 81254, 81204

D

Z

*
2
1}
3

last two numbers transposed

41-5128

C

79432, 79342, 81204, 81254
first two numbers transposed

A.1.2.1

D

13. Which fraction is located at point P on the
number line?

81204, 81254, 79342, 79432
ordered by hundreds, then tens

41-5291

P
0

A

1
}
5

B

3 *
}

4

C

4
}
5

D

1 1}
4

1

2

Grade 4 Mathematics Item Sampler 2008–2009

A.1.3.1
15. What are all the factors of 10?
A

1, 2, 5, 10 *

B

1, 2, 5

C

0, 1, 2, 5, 10

D

0, 1, 2, 5

8


MATHEMATICS
A.1.3.2

A.2.1.2

16. Mr. Franklin is buying boxes of markers.
Each box contains exactly 8 markers.
Which could be the number of markers
Mr. Franklin is buying?

19. Hector bought 2 books for $7.59 each and
a pen for $3.46. What is the total amount
of money he paid?

A

38

B

40

C

42

not a multiple of 8

D

44

not a multiple of 8

not a multiple of 8

*

41-5209

A

$11.05

7.59 + 3.46

B

$13.05

2 + 7.59 + 3.46

C

$14.51

3.46 + 3.46 + 7.59

D

$18.64

*

A.3.1.1

A.1.3.2
17. Which list contains 3 multiples of 7?

20. The city’s new snowplow will
travel 137,673 miles. To the nearest
ten thousand, how far will the new
snowplow travel?

A

14, 21, 37

37 incorrect

A

120,000 miles

rounded too far down

B

17, 27, 47

7 in ones place

B

130,000 miles

rounded down

C

28, 35, 56

C

140,000 miles

D

71, 72, 74

D

160,000 miles

*
7 in tens place

*
rounded too far up

41-5321

A.3.1.2
A.2.1.1
18. Stan has 6 points in a game. Eve has twice
as many points as Stan. How many points
do they have in all?

21. Ivan needs to pay $11.86 for lunch. Ivan
has no coins. What is the least amount
of money Ivan needs to pay for his
lunch?

A

8

6+2

A

$11.00

B

12

6×2

B

$12.00

C

14

2×6+2

C

$13.00

rounded up too far

D

18

D

$14.00

rounded up too far

*

rounded down

*

41-5364

Grade 4 Mathematics Item Sampler 2008–2009

9


MATHEMATICS
B.1.1.1

B.1.1.2

22. Scott left his house for baseball practice at
the time shown below.

23. Meredith eats lunch at 20 minutes to 12.
Which clock shows when Meredith eats
lunch?

11

12

1

10

2

9

A

11

3
8
6

2

9

5

3
8

4

7

What time did Scott leave his house for
baseball practice?
A

2:28

B

3:28

hour hand error

C

5:12

hands reversed

D

6:12

hands reversed; hour hand error

*

hour hand
error

1

10

4
7

12

B

11

6

12

5

*

1

10

2

9

3
8

4
7

6

5

4MSB111

C

11

12

1

10

hands reversed
2

9

3
8

4
7

D

11

6

12

5

1

10

20 minutes
a er 12

2

9

3
8

4
7

6

5

4MSB112

Grade 4 Mathematics Item Sampler 2008–2009

10


MATHEMATICS
B.1.1.3

B.2.1.1

24. Lin got on the bus at 8:15 A.M. and got off
the bus at 9:06 A.M. How long was Lin on
the bus?

26. The smallest doll in Kim’s collection is
shown below.

A

21 minutes

B

51 minutes

C

66 minutes

1 hour to 9:00 + 6

D

91 minutes

100 – 15 + 6

15 + 6

*

Using your ruler, how tall is Kim’s doll?
B.1.1.4
25. On Thursday nights, Jacob goes to dance
class. His class starts at 6:15 and lasts
1 hour and 35 minutes. What time does
Jacob’s dance class end?
A

6:50

35 minutes later

B

7:15

1 hour later

C

7:35

6:00 + 1 hour 35 minutes

D

7:50

A

1 1} inches
2

B

1 3} inches
4

C

2 inches

too long

D

2 1} inches
4

too long

not long enough

*

4MSB211

*

4MSB114

Grade 4 Mathematics Item Sampler 2008–2009

11


MATHEMATICS
B.2.1.1

C.1.1.1

27. Cleo’s pencil was very short.

29. What 2-dimensional shape has 6 sides and
6 angles?

Using your ruler, what is the length of her
pencil, in centimeters?
A

2

near “2 inches” mark

B

3

approximately 3 inches

C

7

D

8

A

hexagon

B

octagon

8 sides and angles

C

rectangle

4 sides and angles

D

rhombus

4 sides and angles

*

*
ruler end set at 1 cm

C.1.1.2
Use the drawing below to answer question 30.

B.2.2.1
28. About how high is a bathtub?
A

4 inches

B

24 inches *

C

44 inches

D

64 inches

Grade 4 Mathematics Item Sampler 2008–2009

30. What 3-dimensional shape is this object?
A

cube

B

square

C

pyramid

D

rectangular prism *

12


MATHEMATICS
C.1.2.1

C.1.2.2

31. Tran drew the first letter of his name.

Use the figure below to answer question 32.

Which geometric shapes make this letter?
A

3 points

B

3 rays

C

2 lines

D

2 line segments *

32. Which word describes the top edge of
the movie screen and the bottom edge?
A

perpendicular
no right angle relationship

B

parallel
*

C

converging
no point of convergence

D

intersecting
no intersection

41-5276

Grade 4 Mathematics Item Sampler 2008–2009

13


MATHEMATICS

C.2.1.1

C.2.1.2

33. Tony drew a picture of a heart below.

Use the picture below to answer question 34.

How many lines of symmetry does
Tony’s picture have?
A

0
there is 1 vertical line of symmetry

B

1
*

C

2

34. How many lines of symmetry does the
picture have?
A

0

B

1 *

C

2

D

3

1 horizontal + 1 vertical line of symmetry;
or 2 sections created by 1 line

D

4
4 sections created by 2 lines

41-5343

Grade 4 Mathematics Item Sampler 2008–2009

14


MATHEMATICS
C.3.1.1

C.3.1.1

Use the grid below to answer question 35.

Use the coordinate grid below to answer
question 36.

y

y

10
9
8
7
6
5
4
3
2
1
0

8
7
6
W

5
4

3
1 2 3 4 5 6 7 8 9 10

35. Which shape is found at (5, 4)?

x

2
1
Z
0

A

Y

X

*

1

2

3

4

5

x
6

reversed coordinatess

A

(0, 5)

point W

C

(2, 9)

B

(5, 0)

point Z

D

(9, 2)

C

(2, 5)

D

(5, 5)

Grade 4 Mathematics Item Sampler 2008–2009

8

36. What is the location of point X?

B

41-5346

7

*
point Y

15


MATHEMATICS
D.1.1.1

D.1.1.2

37. Ruth placed cards in a row to form a
number pattern, as shown below.

Use the pattern below to answer question 39.

64

52

40

28

?

3, 6, 5, 10, 9, 18, 17
39. Which rule describes this pattern?

What should be the next card in the
pattern?

A

multiply by 2 then subtract 1 *

B

add 3 then subtract 1 3 + 3 = 6; 6 ] 1 = 5

A

C

subtract 1

6]1=5

D

multiply by 2

3×2=6

B

C

D

14

16

*

22

24

D.1.1.1
38. The numbers below follow a pattern.
80, 65, 50, 35,
What is the next number in the pattern?
A

15

B

20 *

C

25

follows pa ern in tens place; incorrect
pa ern in ones place

D

30

80 ] 50, or 65 ] 35

amount by which numbers change (–15)

41-5375

Grade 4 Mathematics Item Sampler 2008–2009

16


MATHEMATICS

D.1.1.3
40. Greg created a pattern using letters as shown below.

Which pattern follows the same rule?
A

ABBCCABBCCABB

B

ABCCABCCABCCA

C

ABCCAABCCAABC

first le er repeated

D

ABCBABCBABCBA

third le er not repeated

second le er repeated

*

4MSD113

D.1.2.1

D.1.2.2

41. The input/output table shows the rule:
multiply the input number by 3 and then
add 2.

42. Charlie made the table below.

Input
3
5
6
7
9

Output
11
17
20
?
?

In

Out

12

60

13

65

14

70

What rule did Charlie use?

What 2 output numbers are missing in the
table?

A

Add 5

difference in Out values

B

Add 48

difference in first row

A

14, 27

7 × 2; 9 × 3

C

Multiply by 5 *

B

21, 27

7 × 3; 9 × 3

D

Divide by 5

C

23, 26

20 + 3; 23 + 3

D

23, 29

In and Out reversed

41-5425

*

Grade 4 Mathematics Item Sampler 2008–2009

17


MATHEMATICS
D.2.1.1

D.2.2.2

43. Rob’s car had 16 gallons of gas. On a
55 mile drive, the car used 3 gallons. Which
shows how to find how many gallons were
in the car after the drive?

Use the number sentence below to answer
question 45.

A

16 + 3

incorrect operation

B

55 + 3

miles + gallons used

C

16 – 3

D

55 – 3

*
miles – gallons used

14

2=7

45. Which symbol goes in the
number sentence true?
A

+

B

–

C

3

D

4

to make the

*

4MSD222

D.2.2.1
Use the equation below to answer question 44.
42 ÷ u = 6
44. What number should go in the u to make
this equation true?
A

6

B

7 *

C

8

D

9

E.1.1.1
46. The pictograph below shows how many
pieces of each flavor fruit snack Nathan
counted.
Number of Pieces

Flavor
pineapple
strawberry
orange

Ə 2 pieces
How many more strawberry pieces were
there than orange pieces?
A

2

B

4

C

6

strawberry + orange pictures

D

8

total number of pictures

each picture = one piece

*

41-5239

Grade 4 Mathematics Item Sampler 2008–2009

18


MATHEMATICS
E.1.1.1
47. The pictograph below shows the number and kinds of birds in a pet shop.
Birds in Pet Shop
Kind

Number

canary
finch
parakeet
parrot

Key
= 4 birds
How many finches are in the pet shop?
A

4

ignored key

B

8

4+4

C

12

D

16 *

number of parakeets

Grade 4 Mathematics Item Sampler 2008–2009

19

MATHEMATICS
E.1.2.2
48. The pictograph below shows the number of students who took swim lessons during three
different months.
Swim Lessons
Month

Number of Students

April
June
August
Key:

= 10 students

Which bar graph shows the information in the pictograph?
70
60
50
40
30
20
10
0

Swim Lessons

B
Number of Students

Number of Students

A

April

June
Month

August

70
60
50
40
30
20
10
0

Swim Lessons

April

rounded and drawn up to grid line

70
60
50

40
30
20
10
0

Swim Lessons

D
Number of Students

Number of Students

C

April

June
Month

August

rounded and drawn down to grid line

70
60
50
40
30
20

10
0

June
Month
*

August

Swim Lessons

April

June
Month

August

June + 5

4MSE122

Grade 4 Mathematics Item Sampler 2008–2009

20


MATHEMATICS
E.3.1.1
49. The graph below shows the number of tickets being sold each hour for a concert.

Concert Tickets Sold
800
700

Number of Tickets

600
500
400
300
200
100
0

12:00

1:00

2:00

3:00

4:00

5:00

6:00

Hour
The pattern continues. Based on the graph, how many tickets should be expected to be

sold by 4:00?
A

400

4:00 as 400

B

450

highest point marked

C

550

450 + 100

D

600

*

Grade 4 Mathematics Item Sampler 2008–2009

21