Mathematics Test
Mathematics Test Book 1
Grade
5
March 3–7, 2008 20295
Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2008 by New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of New York State Education Department.
Book 1 TIPS FOR TAKING THE TEST Here are some suggestions to help you do your best:
• Be sure to read carefully all the directions in the test book. • Read each question carefully and think about the answer before choosing your response.
This picture means that you will use your ruler.
This picture means that you will use your protractor.
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Book 1
Page
1
Sample A Use your ruler to help you solve this problem. How many centimeters long is the toothbrush shown below?
? A
12
B
13
C
14
D
15
Sample B Use your protractor to help you solve this problem. What is the measure of angle x shown below?
x
A
30°
B
45°
C
90°
D
150°
■ SECURE MATERIAL ■
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STOP Book 1
Page
3
1
2
There are approximately 925,100 types of insects in the world. If one thousand more types were discovered, which digit in the number would change? A
1
B
2
C
5
D
9
Which point in the diagram below can be connected to point N to form an obtuse angle with ray NJ ?
L
M
P J
N K
A
point K
B
point L
C
point M
D
point P
Go On ■ SECURE MATERIAL ■
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Book 1
Page
5
3
4
Page
Anna has completed 87% of the Empire State car race. Which fraction represents the part of the race that Anna has completed? A
13 100
B
100 13
C
87 100
D
100 87
An apple orchard has 30 rows of apple trees, and each row has 20 trees. What is the total number of apple trees in the orchard? A
50
B
60
C
500
D
600
6
Book 1
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5
6
Which statement correctly compares the four decimals? A
0.1 0.3 0.7 0.6
B
0.7 0.6 0.1 0.3
C
0.7 0.6 0.3 0.1
D
0.1 0.3 0.6 0.7
The list below shows the number of seconds between each spray of water from the fountain in a town square. 25, 10, 30, 25, 40 What is the mean (average) number of seconds between each spray of water? A
25
B
26
C
30
D
36
Go On ■ SECURE MATERIAL ■
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Book 1
Page
7
7
Which diagram shows exactly 2 of the set of hats shaded? 3
A
B
C
D
8
Page
Lisa bought a bracelet for $3.25, including tax. If she gave the cashier $5.00, how much change did she receive? A
$1.25
B
$1.75
C
$2.25
D
$2.75
8
Book 1
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9
10
What is the total number of lines of symmetry that can be drawn on the trapezoid below?
A
4
B
3
C
2
D
1
Sara attended a dog show from 8:30 A.M. to 3:45 P.M. How long was Sara at the dog show? A
4 hours 15 minutes
B
5 hours 15 minutes
C
6 hours 15 minutes
D
7 hours 15 minutes
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Book 1
Page
9
11
Which pair of triangles are congruent?
A
B
C
D
Page
10
Book 1
■ SECURE MATERIAL ■
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12
Anthony wrote the pattern shown below. 4, 16, 64, 256, . . . Which rule describes the pattern?
13
A
Add 4.
B
Add 12.
C
Multiply by 4.
D
Multiply by 8.
3 1 miles to a friend’s house and then 3 more miles to the 4 4 library. What is the total distance, in miles, that Jolene rode her bike? Jolene rode her bike 1
A
4
B
5
C
4
1 2
D
5
1 2
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Book 1
Page
11
14
What is the perimeter, in centimeters, of the polygon below?
10 cm 7 cm
7 cm 5 cm
6 cm [not drawn to scale]
Page
A
35
B
36
C
37
D
38
12
Book 1
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15
The table below shows some of the snack items sold at a football game.
What is the order of the items in the table from the least expensive to the most expensive?
16
A
ice cream, chips, soda, hot dog, popcorn
B
popcorn, hot dog, soda, chips, ice cream
C
ice cream, hot dog, chips, soda, popcorn
D
popcorn, soda, chips, ice cream, hot dog
The length of the rectangular flag in a city park is 16 feet. The width of the flag is 12 feet. What is the perimeter of the flag? P 2l 2w A
24 feet
B
28 feet
C
32 feet
D
56 feet
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Book 1
Page
13
17
18
What is the value of the expression 4 16 4 3 ? A
2
B
5
C
11
D
20
There are four hiking trails at Water’s Edge Park. The table below shows the distance, in feet, from the beginning of each trail to a waterfall.
Which trail begins 268 yards from the waterfall?
1 yard 3 feet
Page
A
Trail 1
B
Trail 2
C
Trail 3
D
Trail 4
14
Book 1
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19
The data below describes the number of visitors at River Run Park. • After 2001, the number of visitors decreased each year except for 2004. • In 2004, the greatest number of visitors was recorded.
0
RIVER RUN PARK 6,000 5,000 4,000 3,000 2,000 1,000 0
Year
Year C
6,000 5,000 4,000 3,000 2,000 1,000
Year
RIVER RUN PARK 6,000 5,000 4,000 3,000 2,000 1,000 0
06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
RIVER RUN PARK
06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
A
0
06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
RIVER RUN PARK 6,000 5,000 4,000 3,000 2,000 1,000 06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
Which line graph represents this data?
Year
B
D
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Book 1
Page
15
20
Which fraction belongs in the box below to make the statement true? 2 3
21
Page
A
3 4
B
3 10
C
1 6
D
2 5
The highest point of Whiteface Mountain in New York is 4,867 feet. What is 4,867 rounded to the nearest thousand? A
4,000
B
4,900
C
5,000
D
5,900
16
Book 1
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22
Use your ruler to help you solve this problem. Fredo drew the equilateral triangle shown below.
Which equilateral triangle is congruent to Fredo’s triangle?
A
C
B
D
Go On ■ SECURE MATERIAL ■
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Book 1
Page
17
23
24
At a restaurant, 1 of a whole apple pie was served. What fraction of the pie was left? 6 A
1 6
B
2 6
C
4 6
D
5 6
There are four bike trails in Garland Park. The diagram below shows one of the bike trails. The sign shows the distances of all of the bike trails.
1 km
BIKE TRAIL DISTANCES
1 km 0.5 km
Coaster Twister River Run Wood Way
1.5 km 2 km
4.0 kilometers 5.0 kilometers 6.0 kilometers 7.0 kilometers
[not drawn to scale]
Which bike trail does the diagram show?
Page
A
Coaster
B
Twister
C
River Run
D
Wood Way
18
Book 1
■ SECURE MATERIAL ■
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25
What improper fraction is equivalent to 2 3 ? 5 A
6 5
B
13 5
C
21 5
D
23 5
26
Use your ruler to help you solve this problem.
Use your protractor to help you solve this problem. Which pair of triangles are similar?
A
C
B
D
STOP ■ SECURE MATERIAL ■
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Book 1
Page
19
Grade 5 Mathematics Test Book 1 March 3–7, 2008
Mathematics Test Book 2
Grade
5
March 3–7, 2008 Name __________________________________ 20296
Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2008 by New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of New York State Education Department.
Book 2 TIPS FOR TAKING THE TEST Here are some suggestions to help you do your best:
• Be sure to read carefully all the directions in the test book. • Read each question carefully and think about the answer before writing •
your response. Be sure to show your work when asked. You may receive partial credit if you have shown your work.
This picture means that you will use your ruler.
This picture means that you will use your protractor.
■ SECURE MATERIAL ■
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Book 2
Page
1
27
The table below shows the number of fish caught by five different people during a one-week fishing trip.
What is the mean (average) number of fish caught during the trip? Show your work.
Answer
fish
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Book 2
Page
3
28
Ms. Boone asked her students to write five numbers to form a pattern. Darren wrote the pattern below. 35, 70, 105, 140, 175 On the lines below, explain Darren’s pattern.
Rosa wrote a pattern that follows the rule n 5, where n is the previous number in the pattern. Write the next four numbers in Rosa’s pattern using this rule.
3,
Page
4
,
,
,
Book 2
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29
Use your protractor to help you solve this problem.
Part A Gil’s teacher asked him to draw an obtuse angle that measured 100°. In the space below, draw Gil’s angle.
Part B Gil’s teacher then drew ∠P as shown below.
P
What is the measure of ∠P ? Answer
degrees
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Book 2
Page
5
30
Emily collected two different types of seashells. Of the total number of seashells in her collection, 20% are cone shells. The rest are tulip shells.
Part A Write a decimal that is equivalent to the percent of cone shells in Emily’s collection. Answer
Part B Write a fraction that is equivalent to the percent of tulip shells in Emily’s collection. Write your fraction in simplest form. Show your work.
Answer
Page
6
Book 2
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31
A line of symmetry can be drawn on only two of the figures below.
Figure A
Figure B
Figure C
Figure D
Draw a line of symmetry on the two figures.
On the lines below, explain how you determined your answer.
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Book 2
Page
7
32
The hourly temperature readings during a school picnic were recorded on the line graph below.
TEMPERATURE AT SCHOOL PICNIC 80
Temperature (F)
70 60 50 40 30 20 10 0 00
4:
00
3:
00
2:
0
:0
00
1:
0
0
:0
12
11
:0
10
00
9:
Time Part A The teachers began giving ice cream to the students at 12:00. What was the temperature at that time? Answer
Page
8
degrees
Book 2
■ SECURE MATERIAL ■
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Part B Between which two hours did the temperature change the least? Answer from
to
On the lines below, explain how you determined your answer.
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Book 2
Page
9
33
Use your ruler to help you solve this problem. Mr. Frank draws the line segment below for his fifth-grade students.
Part A What is the measure, in centimeters, of Mr. Frank’s line segment? Answer
centimeters
Part B In the space below, draw a line segment that is 3 centimeters longer than Mr. Frank’s line segment.
In the space below, draw a line segment that is 2 centimeters shorter than Mr. Frank’s line segment.
Page
10
Book 2
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34
Each side of the hexagon shown below is the same length.
30 cm
[not drawn to scale] Part A What is the perimeter of the hexagon? Answer
centimeters
Part B The perimeter of the pentagon shown below is 39 centimeters.
7 cm
7 cm
10 cm
10 cm
A [not drawn to scale]
What is the length, in centimeters, of side A? Show your work.
Answer ■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
centimeters
Book 2
STOP Page
11
Place Student Label Here
Grade 5 Mathematics Test Book 2 March 3–7, 2008
2008 Mathematics Tests Standard and Performance Indicator Map with Answer Key Grade 5 Question
Type
Points
Strand
Content Performance Indicator
Answer Key
Book 1
1
Multiple Choice
1
Number Sense and Operations
2
Multiple Choice
1
Geometry
3
Multiple Choice
1
Number Sense and Operations
4
Multiple Choice
1
Number Sense and Operations
5
Multiple Choice
1
Algebra
6
Multiple Choice
1
Statistics and Probability
7
Multiple Choice
1
Number Sense and Operations
8
Multiple Choice
1
Number Sense and Operations
9
Multiple Choice
1
Geometry
10
Multiple Choice
1
Measurement
11
Multiple Choice
1
Geometry
12
Multiple Choice
1
Algebra
13
Multiple Choice
1
Number Sense and Operations
14
Multiple Choice
1
Geometry
15
Multiple Choice
1
Number Sense and Operations
5.N03 Understand the place value structure of the base ten number system 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand 10 thousands = 1 ten thousand 10 ten thousands = 1 hundred thousand 10 hundred thousands = 1 million 4.G07 Identify points and rays when drawing angles 5.N11 Understand that percent means part of 100, and write percents as fractions and decimals 4.N19 Use a variety of strategies to multiply two-digit numbers by twodigit numbers (with and without regrouping) 4.A02 Use the symbols , =, and ≠ (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths) 5.S03 Calculate the mean for a given set of data and use to describe a set of data 4.N08 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations 4.N25 Add and subtract decimals to tenths and hundredths using a hundreds chart 5.G11 Identify and draw lines of symmetry of basic geometric shapes 5.M07 Calculate elapsed time in hours and minutes 5.G09 Identify pairs of congruent triangles 5.A07 Create and explain patterns and algebraic relationships (e.g., 2,4,6,8...) algebraically: 2n (doubling) 5.N22 Add and subtract mixed numbers with like denominators 5.G01 Calculate the perimeter of regular and irregular polygons 4.N11 Read and write decimals to hundredths using money as a context
C
D C
D
D
B
C
B D D C C B A A
2008 Mathematics Tests Standard and Performance Indicator Map with Answer Key Grade 5 (continued) Question
Type
Points
Strand
Content Performance Indicator
Answer Key
Book 1 (continued) 16
Multiple Choice
1
Algebra
17
Multiple Choice
1
Number Sense and Operations
18
Multiple Choice
1
Measurement
19
Multiple Choice
1
Statistics and Probability
20
Multiple Choice
1
Number Sense and Operations
21
Multiple Choice
1
Number Sense and Operations
22
Multiple Choice
1
Geometry
23
Multiple Choice
1
Number Sense and Operations
24
Multiple Choice
1
Geometry
25
Multiple Choice
1
Number Sense and Operations
26
Multiple Choice
1
Geometry
27
Short Response
2
Statistics and Probability
28
Extended Response
3
Algebra
29
Short Response
2
Measurement
30
Extended Response
3
Number Sense and Operations
31
Short Response
2
Geometry
32
Extended Response
3
Statistics and Probability
33
Short Response
2
Measurement
34
Extended Response
3
Geometry
5.A06 Evaluate the perimeter formula for given input values 5.N18 Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction, and parentheses 5.M05 Convert measurement within a given system 5.S02 Display data in a line graph to show an increase or decrease over time 5.N09 Compare fractions using , or = 5.N24 Round numbers to the nearest hundredth and up to 10,000 5.G09 Identify pairs of congruent triangles 4.N23 Add and subtract proper fractions with common denominators 5.G01 Calculate the perimeter of regular and irregular polygons 5.N20 Convert improper fractions to mixed numbers, and mixed numbers to improper fractions 5.G02 Identify pairs of similar triangles
D
B
B D A C A D C B A
Book 2 5.S03 Calculate the mean for a given set of data and use to describe a set of data 5.A07 Create and explain patterns and algebraic relationships (e.g., 2,4,6,8...) algebraically: 2n (doubling) 5.M08 Measure and draw angles using a protractor 5.N11 Understand that percent means part of 100, and write percents as fractions and decimals 5.G11 Identify and draw lines of symmetry of basic geometric shapes 4.S04 Read and interpret line graphs 5.M03 Measure to the nearest centimeter 5.G01 Calculate the perimeter of regular and irregular polygons
n/a
n/a n/a n/a n/a n/a n/a n/a
Grade
5
March 3–7, 2008 20295
Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2008 by New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of New York State Education Department.
Book 1 TIPS FOR TAKING THE TEST Here are some suggestions to help you do your best:
• Be sure to read carefully all the directions in the test book. • Read each question carefully and think about the answer before choosing your response.
This picture means that you will use your ruler.
This picture means that you will use your protractor.
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Book 1
Page
1
Sample A Use your ruler to help you solve this problem. How many centimeters long is the toothbrush shown below?
? A
12
B
13
C
14
D
15
Sample B Use your protractor to help you solve this problem. What is the measure of angle x shown below?
x
A
30°
B
45°
C
90°
D
150°
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
STOP Book 1
Page
3
1
2
There are approximately 925,100 types of insects in the world. If one thousand more types were discovered, which digit in the number would change? A
1
B
2
C
5
D
9
Which point in the diagram below can be connected to point N to form an obtuse angle with ray NJ ?
L
M
P J
N K
A
point K
B
point L
C
point M
D
point P
Go On ■ SECURE MATERIAL ■
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Book 1
Page
5
3
4
Page
Anna has completed 87% of the Empire State car race. Which fraction represents the part of the race that Anna has completed? A
13 100
B
100 13
C
87 100
D
100 87
An apple orchard has 30 rows of apple trees, and each row has 20 trees. What is the total number of apple trees in the orchard? A
50
B
60
C
500
D
600
6
Book 1
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
5
6
Which statement correctly compares the four decimals? A
0.1 0.3 0.7 0.6
B
0.7 0.6 0.1 0.3
C
0.7 0.6 0.3 0.1
D
0.1 0.3 0.6 0.7
The list below shows the number of seconds between each spray of water from the fountain in a town square. 25, 10, 30, 25, 40 What is the mean (average) number of seconds between each spray of water? A
25
B
26
C
30
D
36
Go On ■ SECURE MATERIAL ■
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Book 1
Page
7
7
Which diagram shows exactly 2 of the set of hats shaded? 3
A
B
C
D
8
Page
Lisa bought a bracelet for $3.25, including tax. If she gave the cashier $5.00, how much change did she receive? A
$1.25
B
$1.75
C
$2.25
D
$2.75
8
Book 1
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
9
10
What is the total number of lines of symmetry that can be drawn on the trapezoid below?
A
4
B
3
C
2
D
1
Sara attended a dog show from 8:30 A.M. to 3:45 P.M. How long was Sara at the dog show? A
4 hours 15 minutes
B
5 hours 15 minutes
C
6 hours 15 minutes
D
7 hours 15 minutes
Go On ■ SECURE MATERIAL ■
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Book 1
Page
9
11
Which pair of triangles are congruent?
A
B
C
D
Page
10
Book 1
■ SECURE MATERIAL ■
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12
Anthony wrote the pattern shown below. 4, 16, 64, 256, . . . Which rule describes the pattern?
13
A
Add 4.
B
Add 12.
C
Multiply by 4.
D
Multiply by 8.
3 1 miles to a friend’s house and then 3 more miles to the 4 4 library. What is the total distance, in miles, that Jolene rode her bike? Jolene rode her bike 1
A
4
B
5
C
4
1 2
D
5
1 2
Go On ■ SECURE MATERIAL ■
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Book 1
Page
11
14
What is the perimeter, in centimeters, of the polygon below?
10 cm 7 cm
7 cm 5 cm
6 cm [not drawn to scale]
Page
A
35
B
36
C
37
D
38
12
Book 1
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
15
The table below shows some of the snack items sold at a football game.
What is the order of the items in the table from the least expensive to the most expensive?
16
A
ice cream, chips, soda, hot dog, popcorn
B
popcorn, hot dog, soda, chips, ice cream
C
ice cream, hot dog, chips, soda, popcorn
D
popcorn, soda, chips, ice cream, hot dog
The length of the rectangular flag in a city park is 16 feet. The width of the flag is 12 feet. What is the perimeter of the flag? P 2l 2w A
24 feet
B
28 feet
C
32 feet
D
56 feet
Go On ■ SECURE MATERIAL ■
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Book 1
Page
13
17
18
What is the value of the expression 4 16 4 3 ? A
2
B
5
C
11
D
20
There are four hiking trails at Water’s Edge Park. The table below shows the distance, in feet, from the beginning of each trail to a waterfall.
Which trail begins 268 yards from the waterfall?
1 yard 3 feet
Page
A
Trail 1
B
Trail 2
C
Trail 3
D
Trail 4
14
Book 1
■ SECURE MATERIAL ■
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19
The data below describes the number of visitors at River Run Park. • After 2001, the number of visitors decreased each year except for 2004. • In 2004, the greatest number of visitors was recorded.
0
RIVER RUN PARK 6,000 5,000 4,000 3,000 2,000 1,000 0
Year
Year C
6,000 5,000 4,000 3,000 2,000 1,000
Year
RIVER RUN PARK 6,000 5,000 4,000 3,000 2,000 1,000 0
06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
RIVER RUN PARK
06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
A
0
06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
RIVER RUN PARK 6,000 5,000 4,000 3,000 2,000 1,000 06 2005 2004 2003 2002 2001 2000 2099 19
Number of Visitors
Which line graph represents this data?
Year
B
D
Go On ■ SECURE MATERIAL ■
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Book 1
Page
15
20
Which fraction belongs in the box below to make the statement true? 2 3
21
Page
A
3 4
B
3 10
C
1 6
D
2 5
The highest point of Whiteface Mountain in New York is 4,867 feet. What is 4,867 rounded to the nearest thousand? A
4,000
B
4,900
C
5,000
D
5,900
16
Book 1
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
22
Use your ruler to help you solve this problem. Fredo drew the equilateral triangle shown below.
Which equilateral triangle is congruent to Fredo’s triangle?
A
C
B
D
Go On ■ SECURE MATERIAL ■
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Book 1
Page
17
23
24
At a restaurant, 1 of a whole apple pie was served. What fraction of the pie was left? 6 A
1 6
B
2 6
C
4 6
D
5 6
There are four bike trails in Garland Park. The diagram below shows one of the bike trails. The sign shows the distances of all of the bike trails.
1 km
BIKE TRAIL DISTANCES
1 km 0.5 km
Coaster Twister River Run Wood Way
1.5 km 2 km
4.0 kilometers 5.0 kilometers 6.0 kilometers 7.0 kilometers
[not drawn to scale]
Which bike trail does the diagram show?
Page
A
Coaster
B
Twister
C
River Run
D
Wood Way
18
Book 1
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
25
What improper fraction is equivalent to 2 3 ? 5 A
6 5
B
13 5
C
21 5
D
23 5
26
Use your ruler to help you solve this problem.
Use your protractor to help you solve this problem. Which pair of triangles are similar?
A
C
B
D
STOP ■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Book 1
Page
19
Grade 5 Mathematics Test Book 1 March 3–7, 2008
Mathematics Test Book 2
Grade
5
March 3–7, 2008 Name __________________________________ 20296
Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2008 by New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of New York State Education Department.
Book 2 TIPS FOR TAKING THE TEST Here are some suggestions to help you do your best:
• Be sure to read carefully all the directions in the test book. • Read each question carefully and think about the answer before writing •
your response. Be sure to show your work when asked. You may receive partial credit if you have shown your work.
This picture means that you will use your ruler.
This picture means that you will use your protractor.
■ SECURE MATERIAL ■
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Book 2
Page
1
27
The table below shows the number of fish caught by five different people during a one-week fishing trip.
What is the mean (average) number of fish caught during the trip? Show your work.
Answer
fish
Go On ■ SECURE MATERIAL ■
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Book 2
Page
3
28
Ms. Boone asked her students to write five numbers to form a pattern. Darren wrote the pattern below. 35, 70, 105, 140, 175 On the lines below, explain Darren’s pattern.
Rosa wrote a pattern that follows the rule n 5, where n is the previous number in the pattern. Write the next four numbers in Rosa’s pattern using this rule.
3,
Page
4
,
,
,
Book 2
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
29
Use your protractor to help you solve this problem.
Part A Gil’s teacher asked him to draw an obtuse angle that measured 100°. In the space below, draw Gil’s angle.
Part B Gil’s teacher then drew ∠P as shown below.
P
What is the measure of ∠P ? Answer
degrees
Go On ■ SECURE MATERIAL ■
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Book 2
Page
5
30
Emily collected two different types of seashells. Of the total number of seashells in her collection, 20% are cone shells. The rest are tulip shells.
Part A Write a decimal that is equivalent to the percent of cone shells in Emily’s collection. Answer
Part B Write a fraction that is equivalent to the percent of tulip shells in Emily’s collection. Write your fraction in simplest form. Show your work.
Answer
Page
6
Book 2
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
31
A line of symmetry can be drawn on only two of the figures below.
Figure A
Figure B
Figure C
Figure D
Draw a line of symmetry on the two figures.
On the lines below, explain how you determined your answer.
Go On ■ SECURE MATERIAL ■
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Book 2
Page
7
32
The hourly temperature readings during a school picnic were recorded on the line graph below.
TEMPERATURE AT SCHOOL PICNIC 80
Temperature (F)
70 60 50 40 30 20 10 0 00
4:
00
3:
00
2:
0
:0
00
1:
0
0
:0
12
11
:0
10
00
9:
Time Part A The teachers began giving ice cream to the students at 12:00. What was the temperature at that time? Answer
Page
8
degrees
Book 2
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Part B Between which two hours did the temperature change the least? Answer from
to
On the lines below, explain how you determined your answer.
Go On ■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Book 2
Page
9
33
Use your ruler to help you solve this problem. Mr. Frank draws the line segment below for his fifth-grade students.
Part A What is the measure, in centimeters, of Mr. Frank’s line segment? Answer
centimeters
Part B In the space below, draw a line segment that is 3 centimeters longer than Mr. Frank’s line segment.
In the space below, draw a line segment that is 2 centimeters shorter than Mr. Frank’s line segment.
Page
10
Book 2
■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
34
Each side of the hexagon shown below is the same length.
30 cm
[not drawn to scale] Part A What is the perimeter of the hexagon? Answer
centimeters
Part B The perimeter of the pentagon shown below is 39 centimeters.
7 cm
7 cm
10 cm
10 cm
A [not drawn to scale]
What is the length, in centimeters, of side A? Show your work.
Answer ■ SECURE MATERIAL ■
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
centimeters
Book 2
STOP Page
11
Place Student Label Here
Grade 5 Mathematics Test Book 2 March 3–7, 2008
2008 Mathematics Tests Standard and Performance Indicator Map with Answer Key Grade 5 Question
Type
Points
Strand
Content Performance Indicator
Answer Key
Book 1
1
Multiple Choice
1
Number Sense and Operations
2
Multiple Choice
1
Geometry
3
Multiple Choice
1
Number Sense and Operations
4
Multiple Choice
1
Number Sense and Operations
5
Multiple Choice
1
Algebra
6
Multiple Choice
1
Statistics and Probability
7
Multiple Choice
1
Number Sense and Operations
8
Multiple Choice
1
Number Sense and Operations
9
Multiple Choice
1
Geometry
10
Multiple Choice
1
Measurement
11
Multiple Choice
1
Geometry
12
Multiple Choice
1
Algebra
13
Multiple Choice
1
Number Sense and Operations
14
Multiple Choice
1
Geometry
15
Multiple Choice
1
Number Sense and Operations
5.N03 Understand the place value structure of the base ten number system 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand 10 thousands = 1 ten thousand 10 ten thousands = 1 hundred thousand 10 hundred thousands = 1 million 4.G07 Identify points and rays when drawing angles 5.N11 Understand that percent means part of 100, and write percents as fractions and decimals 4.N19 Use a variety of strategies to multiply two-digit numbers by twodigit numbers (with and without regrouping) 4.A02 Use the symbols , =, and ≠ (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths) 5.S03 Calculate the mean for a given set of data and use to describe a set of data 4.N08 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations 4.N25 Add and subtract decimals to tenths and hundredths using a hundreds chart 5.G11 Identify and draw lines of symmetry of basic geometric shapes 5.M07 Calculate elapsed time in hours and minutes 5.G09 Identify pairs of congruent triangles 5.A07 Create and explain patterns and algebraic relationships (e.g., 2,4,6,8...) algebraically: 2n (doubling) 5.N22 Add and subtract mixed numbers with like denominators 5.G01 Calculate the perimeter of regular and irregular polygons 4.N11 Read and write decimals to hundredths using money as a context
C
D C
D
D
B
C
B D D C C B A A
2008 Mathematics Tests Standard and Performance Indicator Map with Answer Key Grade 5 (continued) Question
Type
Points
Strand
Content Performance Indicator
Answer Key
Book 1 (continued) 16
Multiple Choice
1
Algebra
17
Multiple Choice
1
Number Sense and Operations
18
Multiple Choice
1
Measurement
19
Multiple Choice
1
Statistics and Probability
20
Multiple Choice
1
Number Sense and Operations
21
Multiple Choice
1
Number Sense and Operations
22
Multiple Choice
1
Geometry
23
Multiple Choice
1
Number Sense and Operations
24
Multiple Choice
1
Geometry
25
Multiple Choice
1
Number Sense and Operations
26
Multiple Choice
1
Geometry
27
Short Response
2
Statistics and Probability
28
Extended Response
3
Algebra
29
Short Response
2
Measurement
30
Extended Response
3
Number Sense and Operations
31
Short Response
2
Geometry
32
Extended Response
3
Statistics and Probability
33
Short Response
2
Measurement
34
Extended Response
3
Geometry
5.A06 Evaluate the perimeter formula for given input values 5.N18 Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction, and parentheses 5.M05 Convert measurement within a given system 5.S02 Display data in a line graph to show an increase or decrease over time 5.N09 Compare fractions using , or = 5.N24 Round numbers to the nearest hundredth and up to 10,000 5.G09 Identify pairs of congruent triangles 4.N23 Add and subtract proper fractions with common denominators 5.G01 Calculate the perimeter of regular and irregular polygons 5.N20 Convert improper fractions to mixed numbers, and mixed numbers to improper fractions 5.G02 Identify pairs of similar triangles
D
B
B D A C A D C B A
Book 2 5.S03 Calculate the mean for a given set of data and use to describe a set of data 5.A07 Create and explain patterns and algebraic relationships (e.g., 2,4,6,8...) algebraically: 2n (doubling) 5.M08 Measure and draw angles using a protractor 5.N11 Understand that percent means part of 100, and write percents as fractions and decimals 5.G11 Identify and draw lines of symmetry of basic geometric shapes 4.S04 Read and interpret line graphs 5.M03 Measure to the nearest centimeter 5.G01 Calculate the perimeter of regular and irregular polygons
n/a
n/a n/a n/a n/a n/a n/a n/a
