UNIT 1 TEST • PAGE 1

Name

Choose the best answer. 6. What is the value of the digit 4 in

345,306?
1. Which number is described?
F 400 H 40,000
• The digit in the tens place is 3 G 4,000 J 400,000
times the digit in the hundreds
place. 7. What is this number in standard
• The digit in the hundreds place is form?
greater than 2.
• The digit in the ones place is a 7. 30,000,000  50,000  2,000  70  9

A 137 C 397 A 30,520,079 C 30,207,279

B 260 D 627 B 30,502,709 D 30,052,079

8. Which number is described?

2. What is 28,423 decreased by 4,000?
F 31,423 H 28,023 • Each digit in the ones period is 3.
G 28,823 J 24,423 • Each digit in the thousands period
is 2.
• The digit in the millions place is
3. What is five hundred thousand, two two times the digit in the
hundred thirty-four increased by thousands place.
twenty thousand?
F 7,222,333 H 4,222,333
A 520,234 C 70,234 G 4,422,333 J 4,002,333
B 502,234 D 25,234
For 9–10, use the table below.
4. What is the word form of the
number that is 30,000 less than STATE POPULATION
945,000? Michigan 9,773,892
F nine hundred thousand, fifteen Florida 14,653,945
G nine hundred fifteen thousand Illinois 11,895,849
H ninety–one thousand, five New York 18,137,226
J nine fifteen thousand
9. Which state has a population less
For 5, use the benchmark to decide than ten million?
which is a reasonable number of A Florida C Michigan
© Harcourt

books on the shelf. B New York D Illinois

5. 10 Books 10. Which state’s population is

12 million when rounded to the
nearest million?
A 50 C 150 F Michigan H Florida
B 100 D 175 G Illinois J New York
Go On

Form A • Multiple Choice Assessment Guide AG 25

 UNIT 1 TEST • PAGE 2
Name

11. Compare. Choose  ,  , or  for 16. On which day were the fewest fliers
the ●. delivered?
782,603 ● 791,900. F Thursday and Friday
G Thursday
A  B  C 
H Friday
J Saturday
12. Find the numbers that are in order
from least to greatest.
17. Round 5,872 to the nearest
F 509,203; 603,897; 613,101
hundred.
G 613,101; 603,897; 509,203
H 603,897; 509,203; 613,101 A 6,000 C 5,800
J 509,203; 613,101; 603,897 B 5,900 D 5,000

13. Find the numbers that are in order 18. Round 84,493 to the nearest ten
from greatest to least. thousand.
A 24,786; 24,867; 24,795 F 85,500 H 84,000
B 213,872; 213,821; 211,997 G 85,000 J 80,000
C 94,564; 94,783; 94,231
D 78,213; 72,423; 73,221
19. Round 15,597,203 to the nearest
million.
14. Which is not true?
A 16,000,000 C 15,500,000
F 25,874  25,847
B 15,600,000 D 15,000,000
G 78,207  78,702
H 91,408  91,399
J 67,231  67,321
20. Which of these numbers does not
round to 70,000 when rounded to
For 15–16, use the table. the nearest ten thousand?
F 65,000 H 74,231
NUMBER OF FLIERS DELIVERED
G 70,999 J 75,000
DAY NUMBER
Thursday 307
Friday 278
© Harcourt

21. Round to the nearest thousand,

Saturday 192
then add.
4,612
15. On which day were the most fliers
 5,102
delivered? 
A Monday C Friday A 8,000 C 10,000
B Thursday D Saturday B 9,000 D 11,000
Go On

AG 26 Assessment Guide Form A • Multiple Choice

 UNIT 1 TEST • PAGE 3
Name

For 22–24, find the sum or 27. Round to the nearest hundred
difference. thousand to estimate.
800,000
22. 8,391
 328,769
 4,726 
 F 13,117
A 300,000
B 400,000
G 13,017
C 500,000
H 12,117
D 600,000
J 12,017

28. Find the difference.

23. 42,226 907,374

 7,497  529,827
  F 377,547
A 35,839
B 35,729 G 383,547
C 35,271 H 422,553
D 34,729 J 488,557

29. For which is only an estimate

needed?
24. 460,723
 83,885 A ordering uniforms for a team
 F 544,608 B deciding what time to leave
G 544,508 home to go to a movie
H 543,608 C determining the total cost of
J 443,508 purchasing two items
D giving change for a purchase

30. For which is an exact answer

25. Which is a way to add 57  36
needed?
mentally?
F deciding how long it will take to
A 30  36  7
walk to the library
B 50  30  7  6
G deciding if you can buy two
C 50  30  7  6
poster boards with $5.00
D 50  30  13
H finding the total cost of a lunch
J planning for a trip to the zoo
© Harcourt

26. Which is a way to subtract 87  29 For 31–32, find the value of each
mentally? expression.
F 87  30  1
31. 50  (14  3)
G 87  30  1
H 87  20  10  9 A 31 C 39
J 90  30  3  1 B 33 D 61
Go On

Form A • Multiple Choice Assessment Guide AG 27

 UNIT 1 TEST • PAGE 4
Name

32. 70  (9  5) 37. Use the rule and the equation to

complete the input/output table.
F 56 H 66
G 61 J 67 Subtract 12. y  x  12

Input Output
x y
33. Choose the expression that has a
value of 73. 22 ■
35 ■
A 80  (13  6)
B 80  (13  6)
C (80  13)  6 A 10 and 23 C 10 and 13
D 80  (13  6) B 34 and 47 D 10 and 27

For 34–35, choose the expression 38. Which equation is not true?
that matches the words. F 19  13  5  2
G 6 nickels  1 quarter  1 nickel
34. Dawn spent 25¢ for a pen and 15¢
H 23  11  19  7
for a pencil. She started with 80¢.
J 25  3  17  5
F 25¢  15¢  80¢
H 80¢  (25¢  15¢)
G 80¢  25¢  15¢
For 39–40, choose the equation
J 80¢  (25¢  15¢)
that matches the words.
39. There were 20 students on the
35. Lauren had 5 sweaters. She gave baseball team. Some more students
away 2 and bought 1 new sweater. joined. Now there are 26 students
on the team.
A 5  (2  1) C (5  1)  2
B 5  (2  1) D (5  2)  1 A 20  s  26
C s  26  20
B s  26  20
36. Find the equation. D s  20  26

Input Output
© Harcourt

b c 40. There were 23 students on the bus.

3 10 After some students got off the bus,
7 14 there were 19 students left.
21 28 F 19  23  s
H 23  s  19
F cb7 H c2b G 19  23  s
G cb7 J bc7 J s  23  19
Stop

AG 28 Assessment Guide Form A • Multiple Choice

 UNIT 1 TEST • PAGE 1
Name

Write the correct answer. 6. Write the value of the digit 7 in

387,251.
1. Write the number that has
• 5 in the thousands place.
• a hundreds place digit that
is 1 greater than 2.
7. Write the number in standard form.
• a tens place digit that is 4 more
than the hundreds place. 9,000,000  60,000  4,000  50  2
• a ones place digit that is 1 less
than the thousands.

8. Write the number that has

2. Find the difference of 37,006 and
19,278. • 7 for each digit in the ones period.
• 4 for each digit in the thousands
period.

3. Write the standard form of the • a digit in the millions place that is
number that is forty-five thousand, two times the digit in the thousands
seven hundred twenty-three place.
increased by thirty thousand.

4. Write the word form of the number For 9–10, use the table below.
that is 20,000 less than 821,000.
STATE POPULATION
Michigan 9,773,892
Florida 14,653,945
5. There are 25 paper plates Illinois 11,895,849
in Stack A. Write a New York 18,137,226
reasonable number
of paper plates
9. Which state has a population
for Stack B.
greater than fifteen million?
© Harcourt

10. Write the population of Michigan

A B rounded to the nearest hundred
25 paper plates ? thousand.

Go On

Form B • Free Response Assessment Guide AG 29

 UNIT 1 TEST • PAGE 2
Name

11. Compare. Write , , or  in 16. In which month were the fewest

the
● . newspapers delivered?

625,900 ● 652,900.
12. Write the numbers in order from
greatest to least. 17. Round 245,631 to the nearest
3,567; 3,789; 3,892; 3,476 thousand.

18. Round 36,219 to the nearest

hundred.
13. Write the numbers in order from
least to greatest.
8,867; 8,769; 8,976; 8,967

19. Round 26,321,583 to the nearest

million.

14. Compare. Write , , or  in

the
● .

552,910 ● 552,901. 20. Write a number that when rounded

to the nearest ten thousand is
70,000.
For 15–16, use the table below.

NEWSPAPERS DELIVERED
Month Number
May 1,170
21. 7,419
© Harcourt

June 1,218  6,439

July 2,025 

15. In which month were the most

newspapers delivered?

Go On

AG 30 Assessment Guide Form B • Free Response

 UNIT 1 TEST • PAGE 3
Name

22. 26,786 For 27–28, estimate the difference.

 18,945
 27. 843,065
 328,769


28. 805,734
23. 30,723
 439,672
 32,854 


For 29–30, tell whether an estimate

or exact answer is needed. Solve.
24. Round to the nearest thousand, 29. The Toy Studio has a total of 3,723
then add. miniature figures. It has 1,670
6,234 figures in a glass case. How many
 3,782 figures are not in the case?


30. Mr. Watkins is buying a stereo

25. Describe a way to add 75  39 system. The speakers are $79, the
mentally. CD player is $119, and the tuner is
$59. About how much money does
Mr. Watkins need to buy the stereo
system?

For 31–32, find the value of each

expression.

26. Describe a way to subtract 90  48 31. 75 (24  12)

© Harcourt

mentally.

32. 96  (17  35)

Go On

Form B • Free Response Assessment Guide AG 31

 UNIT 1 TEST • PAGE 4
Name

33. Write an expression that has a value 37. Use the rule and the equation to
of 73. complete the input/output table.
Add 9. yx9

INPUT OUTPUT
x y
52 61
27 ■
For 34–35, write an expression that
matches the words.
34. Kerry had 95¢. He spent 55¢ for a
drink and 35¢ for a bag of pretzels.

38. Is the equation true or false?

(279  64)  135  350

35. Lori had 7 library books. She

returned 2 books and checked out
1 more.
For 39–40, write an equation that
matches the words.
39. There were 15 dolls on display.
Some more dolls were put on
display. Now there are 38 dolls.

36. Write the rule.

INPUT OUTPUT
b c
© Harcourt

85 73
69 57
40. There were 46 plants. After some
46 34
plants were sold, there were 29
28 16
plants left.

Stop

AG 32 Assessment Guide Form B • Free Response

 UNIT 2 TEST • PAGE 1
Name

Choose the best answer. 5. Which type of graph is best to show

changes in snowfall amount?
For 1–2, use the table.
A bar graph
Dan’s class collected aluminum cans to B double-bar graph
recycle. The class made the frequency C line graph
table below. D stem-and-leaf plot

DAY NUMBER CUMULATIVE

OF CANS FREQUENCY
Tuesday 40 40 For 6–9, use the line plot.
Wednesday 38 78
Thursday 32 110
✗
Friday 46 156
✗ ✗
✗ ✗ ✗ ✗ ✗ ✗ ✗
1. How many cans did Dan’s class
0 1 2 3 4 5 6 7
collect in four days?
Number of Touchdowns
A 46 C 118
B 110 D 156 6. In how many games did the team
score exactly 4 touchdowns?
F 1 H 4
2. On which day were the most cans G 3 J 5
collected?
F Tuesday H Thursday
G Wednesday J Friday 7. What was the greatest number of
touchdowns scored in a game?
A 3 C 6
For 3–4, use the information B 4 D 7
below.
Pat scored 78, 84, 90, 84, 92, and 86
8. How many games are shown on the
on his history tests.
line plot?
3. What is the mode of the scores? F 7 H 10
A 84 C 78 G 9 J 12
© Harcourt

B 82 D 74

9. In how many games did the team

4. What is the range of Pat’s scores? score at least 2 touchdowns?
F 92 H 14 A 8 C 6
G 74 J 8 B 7 D 4
Go On

Form A • Multiple Choice Assessment Guide AG 45

 UNIT 2 TEST • PAGE 2
Name

10. Which type of graph is best to For 16–18, use the bar graph.
compare favorite pizza toppings
of two second grade classes? POPCORN TINS SOLD
F bar graph 30
G double bar graph 25

Number of Tins
H line graph 20
J stem-and-leaf plot
15
For 11–13, use the stem-and-leaf 10
plot of the heights (in inches) of a 5
high school team. 0
1 2 3 4
Heights of a High School Team Week
Stem Leaves
16. During which week were the most
6 2 45
7 0 2 3 3 5 6 8 popcorn tins sold?
8 0 01
F Week 1 H Week 3
G Week 2 J Week 4
11. How tall is the shortest player?
A 70 inches C 62 inches 17. How many tins were sold in the first
B 65 inches D 60 inches 3 weeks?
A 60 C 35
12. How many players are on the team? B 45 D 25
F 14 H 11
G 13 J 10 18. How many more popcorn tins were
sold in Week 3 than Week 4?
13. What is the median height of the F 10 H 20
basketball team? G 15 J 25
A 81 inches C 73 inches
B 75 inches D 70 inches 19. What is 18 minutes before ten as
shown on a digital clock?
14. Which unit is best to measure the A 10:18 C 9:42
time it takes to eat a sandwich? B 9:52 D 9:18
© Harcourt

F seconds H days
G hours J minutes 20. What time is shown on the clock?
F 6:30
11 12 1
15. What time are you most likely to G 6:40 10 2
ride your bike after school? H 7:20 9 3
A 11:00 A.M. C 11:00 P.M. J 7:40 8 4
7 6 5
B 4:00 A.M. D 4:00 P.M.
Go On

AG 46 Assessment Guide Form A • Multiple Choice

 UNIT 2 TEST • PAGE 3
Name

For 21–24, use the table. For 26–31, use the graph.
The students in all the sixth grade VENDING MACHINE SNACK SALES
classes voted for their favorite flavor

Snacks Sold
50

Number of
•
of fruit drink. 40 •
30 •
•
20
FLAVOR BOYS GIRLS 10
0
September October November December
banana 16 20 Month
strawberry 12 4
grape 8 10
26. What type of graph is shown?
21. What type of graph is best to F line graph
compare the data for boys and girls G line plot
in this table? H bar graph
A line graph J double-bar graph
B line plot
C bar graph 27. In which month were the most
D double-bar graph snack packs sold?
A September C November
22. What scale would be best to use on B October D December
a graph for this table?
F 020 H 030 28. In which month were the fewest
G 820 J 1230 snack packs sold?
F September H November
23. How many boys voted for a favorite G October J December
drink flavor?
29. Which description fits the trend of
A 40 C 34
B 36 D 28 the graph?
A goes up, down, then up
B goes down, up, then down
24. Which statement is false?
C goes up, then down
F More boys voted than girls. D goes down, then up
G More boys than girls liked grape.
H Banana was the favorite flavor.
© Harcourt

30. Which might explain the drop in

J Only 4 girls chose strawberry.
snack sales for December?
F December has 31 days.
25. Find the time that is 50 minutes G There were fewer school days in
after 11:25 A.M. December.
A 12:15 A.M. C 12:15 P.M. H December was too hot.
B 10:45 A.M. D 12:25 P.M. J October was the longest month.
Go On

Form A • Multiple Choice Assessment Guide AG 47

 UNIT 2 TEST • PAGE 4
Name

31. What other type of graph or plot 37. What year is 2 centuries and
could be used for the data? 3 decades after 1722?
A line plot A 1925 C 1952
B double bar graph B 1932 D 1955
C stem-and-leaf plot
D bar graph

32. Which type of graph is best to

38. Find the elapsed time between
compare the number of boxes
10:20 A.M. and 1:45 P.M.
collected by five different classes?
F bar graph F 4 hr
G double-bar graph G 3 hr 25 min
H line graph H 3 hr 10 min
J line plot J 2 hr 55 min

33. 10 years  1 decade

How many years are in 4 decades?
For 39–40, use the calendars.
A 45 C 40
B 44 D 16
JUNE JULY
S M T W T F S S M T W T F S
34. Jane’s ballet recital begins at 7:30 in
1 2 3 4 5 6 7 1 2 3 4 5
the evening and will last for 100 8 9 10 11 12 13 14 6 7 8 9 10 11 12
minutes. When will her recital be 15 16 17 18 19 20 21 13 14 15 16 17 18 19
over? 22 23 24 25 26 27 28 20 21 22 23 24 25 26
F 9:10 A.M. H 8:30 P.M. 29 30 27 28 29 30 31
G 9:10 P.M. J 6:10 P.M.
39. Tom bought tickets for the auto
35. It takes Sam 10 minutes to complete show. He purchased his tickets on
one page in his handwriting book. June 29. If he has to wait 10 days
How long will it take him to finish to see the show, on what day will
7 pages? he go to the show?
A 1 hr A June 19 C July 9
B 1 hr 7 min B July 5 D July 12
C 67 min
D 1 hr 10 min
© Harcourt

36. Tim’s family spent the day at the

lake. They left home at 9:15 A.M. 40. The auto show opens on a Saturday.
and returned at 5:00 P.M. How long If the show lasts 9 days, on what
were they gone? day of the week will it close?
F 7 hr 45 min H 8 hr 45 min F Sunday H Wednesday
G 8 hr J 9 hr 15 min G Monday J Friday
Stop

AG 48 Assessment Guide Form A • Multiple Choice

 UNIT 2 TEST • PAGE 1
Name

Write the correct answer. For 6–9, use the line plot.
For 1–2, use the table. ✗
Ben’s class collected aluminum cans to ✗ ✗
recycle. The class made the frequency ✗ ✗ ✗ ✗ ✗ ✗ ✗
table below.
0 1 2 3 4 5 6 7
CANS COLLECTED
Number of Touchdowns
Number Cumulative
Day of Cans Frequency
6. In how many games did the team
Tuesday 42 42
score exactly 3 touchdowns?
Wednesday 28 70
Thursday 36 106
Friday 49 155

1. How many cans did Ben’s class

collect in four days? 7. What was the least number of
touchdowns scored in a game?

2. On which day were the fewest cans

collected?

8. How many games are shown on the

line plot?
For 3–4, use the information
below.
Jan scored 79, 93, 82, 93, 91, and 87 on
her history tests.

3. What is the mode of the scores? 9. In how many games did the team
score at least 3 touchdowns?

4. What is the range of Jan’s scores?

© Harcourt

10. What type of graph is best to

5. What type of graph is best to show compare favorite yogurt toppings
changes in rainfall? of two fourth-grade classes?

Go On

Form B • Free Response Assessment Guide AG 49

 UNIT 2 TEST • PAGE 2
Name

For 11–13, use the stem-and-leaf For 16–18, use the bar graph.
plot of the heights (in inches) of a
basketball team. COOKIE TINS SOLD

STUDENT HEIGHTS 24
(in inches)

Number of Tins
20
Stem Leaves 16
12
6 2 4 5
7 0 2 3 3 5 6 8 8
8 0 0 1 4
0
11. How tall is the tallest player? 1 2 3 4
Week

16. During which week were the fewest

cookie tins sold?

12. How many players are on the team?

17. How many tins were sold in the

4 weeks altogether?

13. What is the median height of the

basketball team? 18. How many more tins were sold in
Week 3 than in Week 2?

19. Write the time as shown on a

digital clock.
14. What unit of time is best to
measure the time it takes to eat 22 minutes before four
a sandwich?
© Harcourt

20. Write the time shown on the clock.

11 12 1
15. Circle the time you would most 10 2
likely play sports after school. 9 3
8 4
7 6 5
4:00 A.M. 4:00 P.M.
Go On

AG 50 Assessment Guide Form B • Free Response

 UNIT 2 TEST • PAGE 3
Name

For 21–24, use the table. For 26–31, use the graph.
The students in all the fifth-grade The fifth-grade class sold books to raise
classes voted for their favorite flavors money for a class trip.
of fruit drinks.
BOOK SALES
FAVORITE FRUIT DRINK FLAVORS
Flavor Boys Girls 70
banana 18 18 60 •

Number of Books
50
orange 10 6 •
40 •
grape 6 12 30
20 •
10
21. What type of graph is best to show 0
Nov Dec Jan Feb
the data in this table? Month

26. What type of graph is shown?

22. What scale could you use to make a

graph for this data?
27. In which month were the most
books sold?

23. How many girls voted for a favorite

drink flavor? 28. In which month were the fewest
books sold?

24. Jan said that more boys than girls 29. Describe the trend of the data in
liked grape juice. Was she right? the graph.
Explain your answer.
© Harcourt

30. Write a possible explanation for the

drop in book sales for December.
25. Write the time that is 55 minutes
after 11:35 A.M.

Go On

Form B • Free Response Assessment Guide AG 51

 UNIT 2 TEST • PAGE 4
Name

31. What kind of graph or plot would 37. What year was 3 centuries and
not be appropriate for the data? 2 decades after 1583?

32. Which type of graph is best to

compare the number of pennies
38. Write the elapsed time between
collected by four different classes?
7:15 A.M. and 12:50 P.M.

33. 10 years  1 decade

How many years are in 7 decades?
For 39–40, use the calendar.

JULY
Sun Mon Tue Wed Thu Fri Sat

34. Jane’s ballet recital begins at 6:30 in 1 2 3 4 5 6

the evening and will last for 90 7 8 9 10 11 12 13
minutes. At what time will her 14 15 16 17 18 19 20
recital be over? 21 22 23 24 25 26 27
28 29 30 31

39. Rick bought tickets for the boat

show. He purchased his tickets on
35. It takes Stephen 10 minutes to
July 18. If Rick will attend the show
complete one page in his
9 days later, on what day and date
handwriting book. How long, in
will he go?
hours and minutes, will it take him
to finish an 8-page assignment?
© Harcourt

36. Kelly’s family spent the day at the 40. The first day of the boat show is
beach. They left home at 8:10 A.M. a Friday. If the show lasts 10 days,
and returned at 4:45 P.M. How long what day of the week will the last
were they gone? day be?

Stop

AG 52 Assessment Guide Form B • Free Response

 UNIT 3 TEST • PAGE 1
Name

Choose the best answer. 8. 32  8

1. Which is not in the same fact family F 3 H 5

as the others? G 4 J 6

A 7  3  21 C 3  7  21
B 7  4  28 D 21  3  7

9. Bill did 5 sets of push-ups with 11

2. Which is not in the same fact family push-ups in each set. How many
as the others? push-ups did Bill do in all?
F 6  7  42 H 42  7  6 A 17 C 50
G 7  6  42 J 8  7  56 B 45 D 55

For 3–6, find the value of the

variable.
10. Complete.
3. 97n
6  (4  7) ● (6  4)  7
A 2 C 63
B 16 D 72 F  G  H 

4. 24  8  n
F 3 H 5 11. At the grocery store five grapefruit
G 4 J 6 sell for $2. How many grapefruit
can you buy with $8?

5. 9  n  54 A 10 C 15
B 12 D 20
A 9 C 7
B 8 D 6

6. (2  4)  5  n 12. 6  (3  2)
F 6 H 40 F 72 H 24
G 8 J 85 G 36 J 18
© Harcourt

7. Pauline’s calendar has 5 rows of

7 squares. How many squares are on
Pauline’s calendar? 13. 6  (4  2)
A 40 C 30 A 42 C 54
B 35 D 12 B 48 D 56
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Form A • Multiple Choice Assessment Guide AG 61

 UNIT 3 TEST • PAGE 2
Name

14. Len’s game board has 6 rows 19. Which fact is not related to the
of 6 squares. The corner squares others?
are the only ones colored red. How A 4  7  28
many squares on Len’s game board B 28  4  7
are not red? C 14  2  28
F 32 H 24 D 7  4  28
G 30 J 4

15. There are 12 tables in the cafeteria.

Six people can sit at each table. 20. Which is not true?
What is the best operation to use
F 6  7  42
to find the total number of people
G 7  8  52
that can sit in the cafeteria?
H 9  6  54
A addition C multiplication J 8  9  72
B subtraction D division

16. Which does not have the same

value as the others? For 21–24, find the value of the
F 55 H 2  12 expression.
G 46 J 83
21. (16  8)  4
A 24 C 6
B 20 D 4
For 17–18, use this information.
Hailey has 6 flower beds. Each bed has
5 rows with 7 plants in each row.

17. Which expression shows the total

number of plants in Hailey’s flower 22. 9  (3  4)
beds? F 16 H 57
A 6  (5  7) C 657 G 54 J 63
B 6  (5  7) D 6  (5  7)
© Harcourt

18. Find the number of plants in

Hailey’s flower bed. 23. (5  7)  8
F 210 H 180 A 28 C 45
G 200 J 160 B 43 D 61
Go On

AG 62 Assessment Guide Form A • Multiple Choice

 UNIT 3 TEST • PAGE 3
Name

24. 3  (5  2) 28. 10 dimes  4 quarters

F 36 H 19 Multiply both sides by 8. What is the
G 21 J 17 new value of each side of the
equation?
F 30 dimes  12 quarters
G 5 dimes  2 quarters
H 40 dimes  16 quarters
J 80 dimes  32 quarters
For 25–26, choose the expression
that matches the words.
25. Lauren had 70¢. She spent 3 dimes.
For 29–31, find the value of the
A 70  (3  10) expression.
B (70  3)  10
C 70  (3  10) 29. 7  y for y  8
D 70  (3  10) A 15 C 56
B 42 D 78

30. 60  c for c  5
26. There are 6 rows of chairs with F 65 H 12
8 chairs in each row. There are also G 55 J 3
3 chairs not in rows.
F (6  8)  3
G (6  8)  3
H (8  3)  8 31. b  9 for b  7
J (6  8)  3 A 3 C 56
B 15 D 63

For 32–33, choose the expression

© Harcourt

27. (5  7)  (8  4) that matches the words.

Multiply both sides by 6. What is the 32. the amount of money needed for
new value of each side of the people, p, to see a movie at $6 per
equation? person
A 72 C 30 F 6p H p6
B 70 D 24 G p6 J 6p
Go On

Form A • Multiple Choice Assessment Guide AG 63

 UNIT 3 TEST • PAGE 4
Name

33. five times the number of people, p 38. INPUT OUTPUT

A 5p C p5 c d
B 5p D p5 4 16
6 24
8 32
For 34–36, choose an equation that 10 40
matches the words.
F c  12  d
34. a group of people, p, seated in 6 G c4d
rows equals 5 people in each row H c  18  d
F 65p H p65 J 4cd
G p56 J p84

35. the number of players, p, on a team

when 40 players are divided into
8 teams For 39–40, choose an equation for
each.
A 40  8  p C p  8  40
B p  40  8 D p  40  8 39. Cathy had 15¢ in her pocket. She
received a dime and three nickels
in change from a $1 bill. How much
change did Cathy have then?
36. the number of flowers, f, in 9 vases
with 12 flowers in each vase A c  15  (3  5)  10
B c  15  (3  5)  1
F f  12  9 H f  9  12
C c  15  (3  5)  1
G f  12  9 J f  12  9
D c  15  (3  5)

For 37–38, find the equation that is

a rule for the table.
37. INPUT OUTPUT 40. Tajis had some money in his coin
a b bank. He put 7 nickels in the bank
© Harcourt

9 3 and then had $2.15. How much

12 4 money was in his coin bank before
15 5 he added more?
18 6 F m  (7  $0.05)  $2.15
G m  7  ($0.05  $2.15)
A a3b C 24  a  b H m  $2.15  (7  $0.05)
B a  16  b D a3b J m  ($2.15  $0.05)  7
Stop

AG 64 Assessment Guide Form A • Multiple Choice

 UNIT 3 TEST • PAGE 1
Name

Write the correct answer. 7. Maria’s kitchen floor has 9 rows of

7 tiles. How many tiles does the
1. Write the fact family for 4, 6, floor have?
and 24.

8. 35  5

2. Write the fact family for 5, 8,

and 40.
9. Shirin has 12 boxes of pens with 4
pens in each box. How many pens
does Shirin have in all?

For 3–6, find the value of the

10. Write the symbol that makes the
variable. statement true.
3. 54  9  n
3  (5  8)
● (3  5)  8

11. Craig bought 4 bags of oranges at

the store. Each bag cost the same
4. 6  n  42 amount. He spent $12 total. How
much did each bag cost?

5. 27  n  3
12. 7  (2  4)
© Harcourt

6. 328n 13. (3  3)  5

Go On

Form B • Free Response Assessment Guide AG 65

 UNIT 3 TEST • PAGE 2
Name

14. Alex’s garden has 8 rows of 19. Write two facts that are related to
vegetables with 12 plants in each 7  6  42.
row. There is one row of corn
plants. The other rows do not have
any corn. How many plants are not
corn in Alex’s garden?

20. Write a set of factors for 48.

15. There are 5 board games at the

party. Six people can play each
game. What operation would be
best to find the total number of
people who can play board games
at the same time?
21. (19  8)  4

16. Write two different multiplication

facts that have the same value as
6  6.

22. 6  (32  4)

For 17–18, use this information.

Kaylee has 5 books of basketball cards.
Each book has 3 pages with 4 cards on
each page.
23. (6  5)  19
17. Write an expression that shows how
many cards Kaylee has in all.
© Harcourt

18. How many cards does Kaylee have

in all? 24. 6  (8  4)

Go On

AG 66 Assessment Guide Form B • Free Response

 UNIT 3 TEST • PAGE 3
Name

For 25–26, write the expression For 29–31, find the value of the
that matches the words. expression.
25. Kyler had 67 cents. He got 4 more 29. 64  d for d  8
nickels.

30. 11  r for r  7

26. Kevin’s bookshelf had 4 shelves with

11 books on each shelf. Kevin took
5 books off of the bookshelf.

31. 99  x for x  9

27. (4  6)  (6  4)
Multiply both sides by 7. What is
the new value of each side of the For 32–33, write the expression
equation? that matches the words.
32. the number of students that can sit
on benches, b, if each bench seats 4
© Harcourt

28. 2 quarters  10 nickels

Multiply both sides by 4. What is 33. the number of pizzas needed to
the new value of each side of the feed a group of people, g, if each
equation? pizza feeds 7 people

Go On

Form B • Free Response Assessment Guide AG 67

 UNIT 3 TEST • PAGE 4
Name

For 34–36, write an equation that 38. INPUT OUTPUT

matches the words. x y
48 4
34. The total number of players, p, on
11 teams with 12 players on each 60 5
team 72 6
84 7

35. The number of cars, c, needed to

take 48 students on a field trip, if
4 students ride in each car

For 39–40, write an equation for

each. Choose a variable for the
unknown.
39. Ken had 20 cents in change in his
36. The number of baskets, b, needed pocket. He received a quarter and
to hold 54 bananas, if each basket 2 nickels for change from a $1 bill.
holds 9 bananas How much money in change did
Ken have then?

For 37–38, find a rule. Write the

rule as an equation.
37. INPUT OUTPUT
a b
© Harcourt

40. Ebony had some money in her

3 21
purse. She put 8 dimes in her purse
5 35
and then had $3.32. How much
7 49 money was in her purse before she
9 63 added more?

Stop

AG 68 Assessment Guide Form B • Free Response

 UNIT 4 TEST • PAGE 1
Name

Choose the best answer. For 6–10, find the product.

For 1–3, round the first factor. 6. 213  2
F 413
Estimate the product.
G 415
1. 92 H 426
 5 J 436


A 600 C 500
B 540 D 450
7. 109  4
A 436
B 432
2. 488
C 349
 3
 D 113

F 2,000 H 1,200
G 1,500 J 1,000

8. 517
 6
3. $3.08  F 312
 6
 G 310
H 3,102
A $9 C $18 J 3,120
B $15 D $180

For 4–5, use a basic fact and a 9. 128

pattern to find each product.  5
 A 1,140
4. 800 B 640
 7
 C 625
D 540
F 56 H 5,600
G 560 J 56,000
© Harcourt

10. 723
5. 30,000  9
 6  F 6,507

G 6,607
A 180 C 18,000 H 6,714
B 1,800 D 180,000 J 7,507
Go On

Form A • Multiple Choice Assessment Guide AG 81

 UNIT 4 TEST • PAGE 2
Name

For 11–13, find the product. For 16–18, find the product.
11. 4,212 16. 70
 3  5
 A 12,000  F 350
B 12,618 G 3,500
C 12,636 H 4200
D 13,630 J 4,200

12. 3,789
17. 84  50
 4 A 400
 F 15,256 B 420
G 15,156 C 4,000
H 15,056 D 4,200
J 15,046

13. $18.75 18. 34  40

F 1,360
 6
 A $93.75
G 1,280
H 136
B $108.00
J 128
C $109.55
D $112.50

19. Find the value of n.

14. Joe likes a children’s encyclopedia 90  n  630,000
that costs $4.95 per volume. Which
equation can be used to find the A 5,000 C 6,000
cost, c, of 8 volumes? B 7,000 D 8,000

F c  8  $4.95
G c  8  $4.95
H c  8  $4.95 For 20–21, round each factor.
J c  $4.95  8
Estimate the product.
© Harcourt

20. 66
 13
15. Use a basic fact and a pattern to 
find the product.
F 600
4,000  600
G 700
A 240,000,000 C 2,400,000 H 800
B 24,000,000 D 240,000 J 1,400
Go On

AG 82 Assessment Guide Form A • Multiple Choice

 UNIT 4 TEST • PAGE 3
Name

21. 685 27. The student council purchased

 38 15 books for the school library. Each

volume cost $17. They purchased
A 18,000 2 videos that cost $25 each. How
B 21,000 much did the student council
C 24,000 spend?
D 28,000 Choose the expression that can be
used to help answer the question.
22. Use a basic fact and a pattern to A (15  17)  (25  2)
find the product. B (15  17)  (25  2)
C (15  17)  (12  2)
30
D (15  17)  (25  2)
 80


F 240
G 2,400
H 24,000
J 240,000 For 28–30, find the product.
28. 22
 58
For 23–24, estimate. Then choose  F 1,232
the greatest product. G 1,246
23. A 142  20 C 132  30 H 1,272
B 102  40 D 113  50 J 1,276

24. F 58  71 H 72  41
G 73  33 J 44  63
29. 51  58
A 3,000
For 25–26, find the product. B 2,978
25. 29  18 C 2,958
A 522 D 2,900
B 524
C 622
© Harcourt

D 624

26. 19  23 30. 45  63
F 400 F 3,000
G 437 G 2,800
H 456 H 2,835
J 537 J 2,735
Go On

Form A • Multiple Choice Assessment Guide AG 83

 UNIT 4 TEST • PAGE 4
Name

31. Find the missing product. 36. 453  28  n

10  43  430, so 11  43  ■ F 13,684 H 12,600
A 860 C 441 G 12,684 J 1,260
B 473 D 417

For 37–39, find the product.

37. 2,975
 57
For 32–36, find the value of n.  A 169,575
B 221,775
32. 678  40  n C 169,575
F n  27,120 H n  2,712 D 221,775
G n  26,800 J n  2,680

38. $61.18
 36
 F $550.62
G $1,800.00
H $2,141.13
33. n  900  36,000
J $2,202.48
A n4 C n  400
B n  40 D n  4,000

39. 2,298  19
A 23,662
B 30,662
C 33,662
34. 4,235  62  n D 43,662

F 258,335 H 262,570
G 262,508 J 263,357

40. Max bought 8 magazines for $5.75

© Harcourt

each and 4 books for $22.95 each.

Which equation can be used to find
the total cost?
F (8  $5.75)  (4  $22.95)  n
35. n  96  96,000 G ($5.75  $22.95)  12  n
A 100,000 C 1,000 H (8  $5.75)  (4  $22.95)  n
B 10,000 D 100 J $28.70  12  n
Stop

AG 84 Assessment Guide Form A • Multiple Choice

 UNIT 4 TEST • PAGE 1
Name

Write the correct answer. For 6–10, find the product.

For 1–3, round the first factor. 6. 332
Estimate the product.  3

1. 68
 9


7. 161  5

2. 721
 5


8. 671  8

3. $1.77  4

9. 719
For 4–5, use a basic fact and a  3

pattern to find each product.
4. 20,000  6
© Harcourt

10. 946  8

5. 500
 9


Go On

Form B • Free Response Assessment Guide AG 85

 UNIT 4 TEST • PAGE 2
Name

For 11–13, find the product. For 16–18, find the product.
11. 5,021  4 16. 60  6

12. 1,597
 7


17. 46
30


13. $26.25
 4


14. Claudia bought a magazine that

cost $2.95 per issue. Write an
equation to find the cost of 6 issues. 18. 95  80

15. Use a basic fact and a pattern to

find the product.
© Harcourt

5,000
 80
 19. Find the value of y.
600  y  240,000

Go On

AG 86 Assessment Guide Form B • Free Response

 UNIT 4 TEST • PAGE 3
Name

For 20–24, round each factor. 26. 16  53

Estimate the product.
20. 82
 18


27. Mr. Liang’s class bought 6 pizzas for

the pizza party. Each pizza cost $14.
They also bought 12 bottles of soda
that cost $1.29 each. Write an
21. 767  81
expression that can be used to find
how much the class spent.

22. 50
 50


For 28–30, find the product.

28. 34
 37
For 23–24, estimate the product. 
23. 277  60

24. 58 29. 73
 68  26
 
© Harcourt

For 25–26, find the product.

25. 37  15 30. 96  59

Go On

Form B • Free Response Assessment Guide AG 87

 UNIT 4 TEST • PAGE 4
Name

31. 30  61  1,830 so 37. 53  m  5,300

31  61 

For 32–33, find the value of b.

32. 812  60  b

For 38–39, find the product.

38. $50.71
 46


33. 600  b  180,000

34. 6,148
 53 39. 4,236  58


35. 3,916  44
© Harcourt

40. Mr. Jordan bought 6 shirts for

$14.95 each and 3 hats for $5.95
For 36–37, find the value of m.
each. Write an equation that can be
36. 541  17  m used to find the total cost.

Stop

AG 88 Assessment Guide Form B • Free Response

 UNIT 5 TEST • PAGE 1
Name

Choose the correct answer. For 6–8, find the quotient by

dividing mentally.
1. Find the check step for the division
problem. 6. 4,200  6
55  4  13 r3 F 800
A (13  3)  4  55 G 700
B (4  3)  13  55 H 80
C (3  13)  4  55 J 70
D (4  13)  3  55

7. 750  5
A 15
For 2–5, divide.
B 60
2. 4
37 C 150
F 21 r1 D 160
G 22
H 23 r2
J 24 r2
8. 5,600  8
F 70
G 700
3. 5
79 H 80
A 10 r5
J 800
B 12 r1
C 13 r4
D 14 r3
9. Together, Andy and Sam spent
$9.25 for lunch. Andy’s lunch was
$2.25 more than Sam’s. How much
4. 89  6 was Sam’s lunch?
F 14 r5
G 14 r3 A $7.00 C $4.00
H 13 r1 B $5.75 D $3.50
J 11 r3
© Harcourt

10. 27 students are put into equal

groups with 3 students left over.
5. 79  4 Which of the following could be
A 12 r1
the number of groups formed?
B 18 r3
C 19 r1 F 4 H 2
D 19 r3 G 3 J 0
Go On

Form A • Multiple Choice Assessment Guide AG 105

 UNIT 5 TEST • PAGE 2
Name

For 11–15, divide. For 16–17, find the mean.

11. 706  6 16. 413, 319, 147, 85
A 117 r4
B 117 F 240 H 242
C 107 r4 G 241 J 243
D 107
17. 614, 486, 526
A 407 C 542
B 539 D 1,626

12. 0
753

F 73 r2
18. The mean for the set of data is 19.
G 72 r1
What is the missing number?
H 71 r6
J 70 r3 ■, 12, 17, 19, 23
F 24 H 18
G 20 J 5

For 19–20, solve and tell how you

13. 405  8
A 51 r7 interpreted the remainder.
B 51 r5
19. Leo has 56 brownies to package for
C 50 r7
a bake sale. The brownies will be
D 50 r5
sold in packs of 3. How many
brownies will not be packaged?
A 18 r2 brownies; increase the
quotient by 1
B 2 brownies; use the remainder
14. 6
680

F 111 r1 as the answer
G 141 r1 C 19 brownies; increase the
H 143 r2 quotient by 1
J 146 r5 D 18 brownies; drop the remainder
© Harcourt

20. A 78-inch piece of ribbon needs to

be cut into 8-inch lengths. How
many 8-inch lengths will there be?
15. 6
7$3
.5
6
A $9.08 F 11; increase the quotient by 2
B $9.80 G 7; use the remainder
C $9.88 H 9; drop the remainder
D $9.98 J 10; increase the quotient by 1
Go On

AG 106 Assessment Guide Form A • Multiple Choice

 UNIT 5 TEST • PAGE 3
Name

For 21–23, choose the best 26. 7

4156

F 16
estimate for the quotient.
G 14 r2
21. 391  51 H 11 r25
J 10 r6
A 400  80  5
B 400  50  8
C 350  50  7
D 360  60  6
27. Which estimate is just right?
8 6
3
A 5744
 2
C 8373

22. 448  91 9 8
7
B 3928
 8
D 7153

F 480  80  6
G 450  50  9
H 450  90  5
J 400  100  4 28. Which estimate is too low?
6 6
9
F 9264
 6
H 7347

8 9
23. 423  59
2
G 2729
 3
J 7368

A 420  60  7
B 400  50  8
C 450  50  9
D 480  60  8 For 29–30, use this problem.
Susan wants to buy a bicycle that costs
$112. If she saves $5 each week, how
many weeks will it take her to save
For 24–26, divide. $112?
24. 3
1223
 29. What operation is best to solve the
F 20 r4
problem?
G 20 r3
H 19 r5 A multiplication C addition
J 19 r4 B division D subtraction
© Harcourt

25. 7
2358
 30. How many weeks will it take Susan
A 25 r13
to save $112?
B 25 r3
C 21 r5 F 20 weeks H 22 weeks
D 20 r8 G 21 weeks J 23 weeks
Go On

Form A • Multiple Choice Assessment Guide AG 107

 UNIT 5 TEST • PAGE 4
Name

31. Which number is not a multiple For 37–38, list the prime factors for
of 4? each product.
A 24 C 8
37. 42
B 16 D 1
A 2  21 C 2237
B 76 D 237

32. What are all the factors of 16?

F 1, 2, 4, 8, 16
G 1, 2, 4, 8, 12
38. 60
H 1, 4, 8, 16
J 1, 2, 8, 16 F 2  3  10
G 2335
H 2235
J 5  12
33. Which equation represents a way to
break down 24?
A 24  3  8  2
B 24  3  2  4
C 24  2  2  3 39. Jessica has a pattern puzzle for her
D 24  4  2  2 classmates. When she says 79, the
answer is 86. When she says 28, the
answer is 35. When she says 64, the
answer is 71. What is the pattern?
A Add seven.
For 34–36, choose the prime
B Subtract seven.
number. C Add six.
34. F 18 H 49 D Subtract six.
G 19 J 86

35. A 315 C 99 40. Harriet wrote the following

© Harcourt

B 111 D 83 numbers on the board. What are

the next two numbers in the
pattern?
1, 3, 4, 7, 11, 18, ■, ■
36. F 81 H 41 F 25, 32 H 29, 47
G 51 J 26 G 29, 40 J 29, 42
Stop

AG 108 Assessment Guide Form A • Multiple Choice

 UNIT 5 TEST • PAGE 1
Name

Write the correct answer. For 6–8, divide mentally.

1. Write the check step for the division 6. 6,400  8
problem.
72  5  14 r2

7. 8
880


For 2–5, divide.

2. 7
48
8. 108,000  9

3. 4
69
9. Brian and Lynn used 28 sheets of
construction paper to make their
art projects. Brian used 10 more
sheets than Lynn used. How many
sheets did Lynn use?

4. 74  3
© Harcourt

10. The students in Mr. Campion’s

reading class are doing a project.
They make 9 groups of three
students and 1 group of four. How
5. 90  7 many students are in the class?

Go On

Form B • Free Response Assessment Guide AG 109

 UNIT 5 TEST • PAGE 2
Name

For 11–15, divide. For 16–17, find the mean.

11. 823  5 16. 108, 115, 73, 200

17. 853, 686, 564

12. 1
865


18. The mean of 4 numbers is 31. What

is the fourth number if 3 of the
numbers are 37, 15, and 22?

13. 3
963


For 19–20, solve and tell how you

interpreted the remainder.
19. Corinna wants to plant 20 tomato
plants in her garden. The plants are
14. 997  8 sold in packages of 3. How many
packages will she need to buy?
© Harcourt

20. The school cook buys hamburger

15. $49.26  6 buns in packages of 8. If there are
78 hamburger buns in the kitchen,
how many are not in a whole
package?

Go On

AG 110 Assessment Guide Form B • Free Response

 UNIT 5 TEST • PAGE 3
Name

For 21–23, write the best estimate 26. 579  52

for the quotient.
21. 0
5832


For 27–28, estimate the quotient.

27. 3
4134


22. 279  44

28. 550  92

23. 481  83

For 29–30, use this problem.

Each section of the football stadium
seats 2,000 people. There are three
levels with 12 sections in each level.
How many people can the stadium
seat?
For 24–26, divide. 29. What operation is best to solve this
24. 296  15 problem?
© Harcourt

25. 4
2690

30. How many people can the stadium
hold?

Go On

Form B • Free Response Assessment Guide AG 111

 UNIT 5 TEST • PAGE 4
Name

31. Write all the multiples of 7 that are For 37–38, write each number as a
less than 50. product of prime factors.
37. 55

32. List all the factors of 30.

38. 72

33. Write an equation that represents a

way to break down 18.

39. What numbers would complete this

pattern?
1, 3, 6, 10, ■, ■, 28, 36
For 34–36, write whether the
number is prime or composite.
34. 29

35. 231
© Harcourt

40. Darius has a puzzle for his

classmates. When he says 17, the
answer is 8. When he says 32, the
answer is 23. When he says 9, the
36. 97 answer is 0. What is the pattern?

Stop

AG 112 Assessment Guide Form B • Free Response

 UNIT 6 TEST • PAGE 1
Name

Choose the best answer. 6. Which tells how the figure was
moved?
1. What figure is shown?
• •
X Y

A line C plane
B ray D line segment
F slide H flip
For 2–3, use this information.
G turn J right
C
A 7. Which is a reasonable measure for
F
this angle?
B
E

•
E
2. Which of these names a radius of
the circle? • •
F G

F BC 
H EF
  A about 200° C about 90°
G AB J CF
B about 120° D about 70°
3. Which of these names a diameter of
the circle? 8. Which tells how the figure was

A AB 
C CF moved?

B EF 
D BC

4. What line relationship is shown in •

the figure?

F slide H flip
G turn J left
F intersecting H perpendicular
G right angle J parallel
9. Which figure has line symmetry?
5. What kind of angle is STU?
© Harcourt

S
• A C
40°
T• •
U

A acute C obtuse B D
B right D ray
Go On

Form A • Multiple Choice Assessment Guide AG 121

 UNIT 6 TEST • PAGE 2
Name

10. Which figure has line symmetry and 14. The perimeter of the triangle is
rotational symmetry? 32 ft. What is the unknown length?

F H 9 ft ?

12 ft

G J F 11 ft H 13 ft
G 12 ft J 14 ft

11. What kind of turn is shown by the

2 rays in the circle?
15. What kind of turn is shown by the
2 rays in the circle

A 1
 turn
4 C 3
 turn
4
B 1
 turn
2 D complete turn

A 1

4
12. A square with sides of 8 units is
drawn. The square is on 0.5-cm grid B 3

4
paper. What is the length of one
C 1

2
side of the square on the 0.5-cm
grid paper? D complete turn
F 8 cm H 4 cm
G 6 cm J 2 cm

13. Which figure has rotational 16. Which 2 line segments are parallel?
symmetry?
© Harcourt

B • • E

A C •C

A • • D
F  and CE
AB   and AE
H BD 
B D
G  and CD
AB   and DE
J AB 
Go On

AG 122 Assessment Guide Form A • Multiple Choice

 UNIT 6 TEST • PAGE 3
Name

17. Which label best describes the For 20–21, use the figures.
figures in Circle E?
A B C D
E F

20. Which figures have 2 pairs of

parallel sides?
F Figures A and B
G Figures A and C
A have 3 sides
H Figures C and D
B have 4 sides
J Figures B and D
C have 5 sides
D have curved faces
21. Which figures have no right angles?
A Figures A and B
B Figures A and C
18. Which 2 line segments are C Figures B and C
perpendicular? D Figures B and D

A D

E 22. Which passes through the center of

a circle and has its endpoints on the
B C circle?
F center
F  and AE
AB 
G radius
G  and DE
AE 
H diameter
H  and CD
DE 
J compass
J  
AB and BC

23. Which figure is congruent to this

figure?
19. How many degrees has the figure
been turned?
© Harcourt

inches
A C
inches

A 360° C 180°
B D
B 270° D 90°
Go On

Form A • Multiple Choice Assessment Guide AG 123

 UNIT 6 TEST • PAGE 4
Name

24. A truck wheel has a diameter 29. Lisa has a round tablecloth with a
of 36 inches. Estimate the diameter of 6 feet. Estimate the
circumference of the truck wheel. circumference of the tablecloth.
F about 45 in. A about 2 feet
G about 90 in. B about 12 feet
H about 108 in. C about 18 feet
J about 254 in. D about 24 feet

30. How would you classify a triangle

25. How would you
classify this triangle with sides whose lengths are 15 ft,
by the lengths of 15 ft, and 15 ft?
its sides? F isosceles H equilateral
A equilateral C scalene G scalene J acute
B isosceles D obtuse
31. What figure is shown?

26. Tasha has a drawing on 2-cm grid • •

paper that she wants to enlarge by C D
copying the squares. What size grid
A ray C point
paper should she use?
B line D line segment
F 0.5 cm H 2 cm
G 1 cm J 4 cm
32. Which is a reasonable measure for
this angle?
27. A circular bird cage has a
D•
circumference of 144 centimeters.
Estimate the diameter of the bird
cage. E• •
F
A about 98 cm
F about 10° H about 98°
B about 76 cm
G about 45° J about 170°
C about 62 cm
D about 48 cm
33. Which is a reasonable measure for
© Harcourt

this angle?
28. How would you
C
classify this triangle •
by the length of • •
its sides? A B

F scalene H equilateral A 40° C 120°

G isosceles J acute B 44° D 160°
Stop

AG 124 Assessment Guide Form A • Multiple Choice

 UNIT 6 TEST • PAGE 1
Name

Write the correct answer. 6. How was the figure moved?

1. What figure is shown?

• •
F G

slide
ray

For 2–3, use this information.

7. What is the reasonable measure for
S
this angle?
X
•T
C

•
R •
Y A

•
2. Name a radius of the circle. B

Possible answer: 
RT or 
TS about 90°

3. Name a diameter of the circle.

S
R 8. How was the figure moved?

4. What line relationships are shown

in the figure?

flip

intersecting and perpendicular

9. Draw a line of symmetry for this
figure. Two possible answers are
What kind of angle is JHG?
© Harcourt

5. shown.

•
G
• •
J H

obtuse
Go On

Form B • Free Response Assessment Guide AG 125

 UNIT 6 TEST • PAGE 2
Name

10. Draw a figure that has line 14. The area of this rectangle is 90 sq m.
symmetry and rotational symmetry. What is the unknown length?

15 m

Check students’ figures.

6m

11. What kind of turn is shown by the

2 rays in the circle?

15. What kind of turn is shown by the

2 rays in the circle?

•
1
 turn
4

complete turn
12. A rectangle with 2 sides that are
2 units and 2 sides that are 6 units is
drawn. The rectangle is on 12 -in. grid
paper. What is the length of its
sides on the 12 -in. grid paper?
2 sides are 1 inch and 16. Which 2 line segments are
2 sides are 3 inches perpendicular?

A B C
• • •
13. Draw a figure that has rotational
symmetry.
© Harcourt

Answers will vary. Possible answer: H• •D

• • •
G F E
Possible answers: B F and D
H,
F and 
B GE, 
BF and A
C
Go On

AG 126 Assessment Guide Form B • Free Response

 UNIT 6 TEST • PAGE 3
Name

17. What do these 3 figures have in 21. Draw a figure that has no right
common? angles. Check students’ figures.
Possible answer:

They all have 6 sides.

18. Which 2 line segments are parallel?

A• •G
B•
•F

22. Name a chord of the circle.

•
H
W

C• V Y
•
D• •E

U
D
A and E
G
 X

19. How many degrees has the figure Possible answer: 

EF
been turned?

U.S. MAIL
23. Are these two figures congruent?
90°

20. Draw a plane figure that has 2 pairs

© Harcourt

of parallel sides.
Answers will vary. Possible answer:

yes
Go On

Form B • Free Response Assessment Guide AG 127

 UNIT 6 TEST • PAGE 4
Name

24. Alice is making a round banner. Her 29. Miguel has a round rug with a
banner has a diameter of 24 inches. circumference of 27 feet. To the
Estimate the circumference of the nearest foot, what is the diameter
banner. of the rug?

about 72 in. 9 feet

25. How would you classify this triangle 30. How would you classify a triangle
by the lengths of its sides? with sides whose lengths are 12 m,
9 m, and 12 m?

isosceles

31. What figure is shown?

isosceles
M N
• •

26. Are these two figures similar? line segment

32. Which is a reasonable measure for

this angle?

yes •C

• •B
27. A helicopter landing pad has a A
circumference of 240 feet. Estimate
the diameter of the landing pad. Possible answer: about 95°

about 60 ft
33. What is a reasonable
measure for this angle?
© Harcourt

28. How would you clasify this triangle

by the length of its sides? L
•

• •
J K

scalene 45°
Stop

AG 128 Assessment Guide Form B • Free Response

 UNIT 7 TEST • PAGE 1
Name

Choose the best answer. For 6–7, order the fractions from
least to greatest.
1. What fraction of the figure is not
shaded? 2 1 1
6. 
5 ; 3 ; 4
F 2 5  1 1
4  3 H 1
4  2 1
5  3
G 1 3  1 2
4  5 J 1
4  1 2
3  5

A 160 C 140

B 150 D 130 4 2 3
7. 
5 ; 3 ; 4
A 2   4  3
3 5 4
 C 2
  3  4
3 4 5


B 3 4 2
4  5  3 D 4 3 2
5  4  3
2. Which fraction is not equivalent
to 27?
4
F 
14 H 261
8. What is 127 written as a mixed
G 2

70
0
 J 4
9 number?

F 9 1
2 H 8117

G 8 1
2 J 7 1
2
9
3. What is  in simplest form?
27

A 1
4 C 1
3

B 2
7 D 3
9 9. What is 232 written as a mixed
number?

A 8 1
3 C 7 212

4. What is 2
4

32 in simplest form? B 7 1
3 D 6 1
3
1 2
F 
16  H 6
8

G 3
4 J 
8
11 10. Deidra, Beth, and Greg ate the
© Harcourt

same type of sandwich for lunch.

Greg ate 14 of a sandwich, Beth ate
1
 of a sandwich, and Deidra ate 3  of
3 8
5. Which is true? a sandwich. Who ate the most?
A 3 4
9  4 C 150  162 F Deidra H Greg
G Beth J Each ate the
B 4
9  4
8 D 132  1
3 same amount.
Go On

Form A • Multiple Choice Assessment Guide AG 145

 UNIT 7 TEST • PAGE 2
Name

4 4
11. 
77 For 17–18, use the fraction bars to
find the sum.
A 184 C 1 1
7
17.
B 1 1
8 D 1 2
7
1
3 1
8 4

12. Which is true? 1 1 1 1 1

8 8 8 8 8
2
5  2 3
F 5  4 H 3
8  2 1
8  2 3
8  1
4
G 18  3 1
8  2 J 1
3  1 1
3  2
A 156 B 1
3 C 1
2 D 5
8

For 13–16, find the sum or 18.

difference. 1
10 4 3 1
13. 
12  12 4 6
1 1 1 1 1 1 1 1 1 1 1
A 1
4

12 C 152 12 12 12 12 12 12 12 12 12 12 12

B 162 D 264 3 1
4  6

F 1 G 1

12
1
 H 1

24
1
 J 
4
10
5 1
14.   
6 6
For 19–20, use the information
6
F 
6 H 3

6 below.
G 4

6 J 1

6 Karen and Renee brought sports drink
to the soccer game. Karen brought
3
 quart and Renee brought 1 3 quarts.
4 4
15. 5 34 How many quarts of sports drink did
they have in all?
 3 34
19. What operation would be best to
A 9 1
2 C 8 3
4 answer the question?
B 8 6
8 D 2 A addition C multiplication
© Harcourt

B subtraction D division

20. How many quarts of sports drink

16. 3 57  1 37
did Karen and Renee have in all?
F 4 8
7 H 2 1
7 2 1 H 1 6
F 2 8
G 4 2
7 J 2 2
7 G 2 1
4 J 1
Go On

AG 146 Assessment Guide Form A • Multiple Choice

 UNIT 7 TEST • PAGE 3
Name

21. What decimal and fraction are 26. Compare. Choose , , or  for
shown by the model? the ●.
0.06 ● 0.60
F  G  H 

27. Find the decimals that are in order

A 57; 5 7
1 C 0.57; 57
100
from least to greatest.
A 5.508, 5.50, 5.80, 5.85
B 5.7; 5 170 D 0.057;  57
100 B 5.50, 5.508, 5.85, 5.80
C 5.50, 5.508, 5.80, 5.85
D 5.85, 5.80, 5.508, 5.50

22. What decimal names the same

amount as 58?
F 0.725 H 0.375 28. Which mixed decimal is equivalent
G 0.625 J 0.160 to 2 34 ?
F 2.25 H 2.50
G 2.34 J 2.75

23. What are two different ways to

write the decimal 0.3?
A 0.30; three-tens 29. Which mixed number is equivalent
B 0.03; three-tenths to 3.70?
C 0.03; three-hundredths A 3 7

9 C 3 170
D 0.30; three-tenths
B 3 3
4 D 3 2
3

24. What decimal names the same

5
amount as 3 
1,000? 30. Timothy, Christina, and Robert each
F 3.005 H 3.50 have a pet. The pets are a rabbit, a
G 3.05 J 35 cat, and a turtle. Timothy’s pet does
© Harcourt

not have fur. Christina’s pet can

climb trees. Which statement is
true?
25. Which pair shows decimals that are F Timothy has a turtle.
not equivalent? G Christina has a turtle.
A 0.73, 0.730 C 0.30, 0.3 H Robert has a cat.
B 0.4, 0.40 D 0.07, 0.70 J Christina has a rabbit.
Go On

Form A • Multiple Choice Assessment Guide AG 147

 UNIT 7 TEST • PAGE 4
Name

31. What is 4.73 rounded to the nearest For 36–38, find the sum or
whole number? difference.
A 5.73 C 5
36. 51.75
B 5.7 D 4
 41.45
 F 93.20
G 92.10
H 90.30
32. What is 61.705 rounded to the
J 90.10
nearest hundredth?
F 62.70 H 61.71
G 62 J 61.7 37. 74.62
 9.71
 A 64.91
B 65.11
33. What is the estimated difference? C 74.11
$28.73 D 75.91
 $12.21

A $5 C $15 38. 6  3.639
F 3.639
B $10 D $20
G 3.361
H 2.361
J 1.361
34. Estimate to compare. Choose  , 
or  for the ●.
For 39–40, choose the most
42.8  19.98 ● 54.72  4.12
reasonable answer to the problem.
F  G  H 
39. Dovina cross–country skied 2.4 miles
on Saturday, 4 miles on Monday,
and 3.6 miles on Wednesday. About
35. Find the equation that matches the how many miles did Dovina ski?
model.
A 8 miles C 10 miles
B 9 miles D 11 miles
© Harcourt

40. Joyce needs to buy streamers for

$1.39, balloons for $2.85, and
confetti for $1.65. About how much
A 1.9  1.74  n money does Joyce need to purchase
B 1.09  0.74  n these items?
C 0.109  0.74  n F $3 H $5
D 1.9  0.74  n G $4 J $6
Stop

AG 148 Assessment Guide Form A • Multiple Choice

 UNIT 7 TEST • PAGE 1
Name

Write the correct answer. For 6–7, order the fractions from
least to greatest.
1. What fraction of the figure is
1 1 2
shaded? 6.  ,  , 
4 2 5

3 2 5
7.  ,  , 
4 3 6

2. Write two fractions equivalent to 3

.
8

8. Write 1 9
2 as a mixed number.

3. What is 16

28 in its simplest form?

9. Write 2 5
3 as a mixed number.

4. What is 14
4
2 in its simplest form?
© Harcourt

10. Peter, Annie, and Melanie ate pizza

for dinner. Peter ate 27 of a pizza,
5. Compare. Write , , or  in Annie ate 38 of a pizza, and Melanie
the
● . ate 49 of a pizza. Who ate the most?


4
16 ● 
6
18
Go On

Form B • Free Response Assessment Guide AG 149

 UNIT 7 TEST • PAGE 2
Name

3 3
11. 
55 For 17–18, use the fraction bars to
find the sum.
17.
1
2 1
5 3
1 1 1 1 1 1 1 1 1 1 1
12. Compare. Write , , or  in 15 15 15 15 15 15 15 15 15 15 15
the
●
.
2
5  1
3
2 3
6  6 ● 3
4

For 13–16, find the sum or 18.

1
difference.
1 2
9 5 6 3
13.   
11 11
1 1 1 1 1
6 6 6 6 6

1 2
6  3

14. 2 4
 7
9  39


For 19–20, use the information

belor.
3
Lamar had 2 5 pints of ice cream. He
2
and his friends ate 1 5 pints. How much
ice cream does Lamar have left?
15. 4 152
19. What operation is best to answer
 2 112 the question?
© Harcourt

20. How much ice cream does Lamar

3 2
16. 
88 have left?

Go On

AG 150 Assessment Guide Form B • Free Response

 UNIT 7 TEST • PAGE 3
Name

21. Write a decimal and fraction shown 27. Order the decimals from least to
by the model. greatest.
4.309, 4.49, 4.452, 4.24

28. Write a mixed number that is

22. Write a decimal that names the equivalent to 7.20.
same amount as 35 .

23. Write 0.8 in two different ways.

29. Write a decimal that is equivalent

to 4 14.
24. Write the decimal that names the
9
same amount as 2 1,000.

For 25–26, compare the decimals.

Write  ,  , or  in each . ● 30. Alejandro, Jason, and Pilar each
© Harcourt

play a sport. The sports are tennis,

25. 0.64 ● 0.064
soccer, and football. Pilar uses a
racquet in her sport. Alejandro’s
sport doesn’t use a round ball. Who
plays soccer?

26. 0.28 ● 0.280

Go On

Form B • Free Response Assessment Guide AG 151

 UNIT 7 TEST • PAGE 4
Name

31. Round 6.48 to the nearest whole For 36–38, find the difference.
number.
36. 62.37
 9.65


32. Round 18.765 to the nearest

hundredth. 37. 24.92
 17.06


33. Estimate the difference.

38. 43  27.348
$41.16
 16.75


For 39–40, give a reasonable

answer to the problem.
34. Estimate to compare. Write  or  39. Amaya ran 4.7 miles on Tuesday,
in the
● . 2.4 miles on Thursday, and 5 miles
on Saturday. About how many miles
16.48  23.7 ● 21.83  19.59 did Amaya run?

35. Write an equation that matches the

model.
© Harcourt

40. Blair wants to buy marshmallows

for $1.08, chocolate for $2.71, and
graham crackers for $2.30. About
how much money does Blair need
to buy these items?

Stop

AG 152 Assessment Guide Form B • Free Response

 UNIT 8 TEST • PAGE 1
Name

Choose the best answer. For 6–8, change the unit.

1. The length of a paper clip is 6. 15 gal  ■ qt
about 114 ? . F 30 H 60
A mi C ft G 45 J 120
B yd D in.

2. Measure the battery to the nearest

1
 in.
8
7. 26 pt  ■ c
A 13 C 102
B 52 D 104

F 13
 in.
4 H 2 in.
8. 8 T  ■ lb
G 17
 in.
8 J 21
 in.
8
F 8,000 H 16,000
G 12,750 J 17,000
3. Which lists 3 78 in., 4 14 in., and 3 34 in.
in order from least to greatest?

A 3 3
 7
 1

4 in.; 3 8 in.; 4 4 in.
9. The school nurse weighed Holly. She
B 3 7
 1
 3

8 in.; 4 4 in.; 3 4 in. weighed 62 lb. Her older brother
C 3 7
 3
 1

8 in.; 3 4 in.; 4 4 in.
Ryan weighed 13 pounds less than
twice Holly’s weight. How much did
D 4 1 7 1
4 in.; 3 8 in.; 3 4 in. Ryan weigh?
A 44 lb C 131 lb
B 111 lb D 135 lb
For 4–5, complete.
4. 6 mi  ■ ft
F 31,680 H 10,680
© Harcourt

G 26,400 J 8,800
10. Allison needed 7 quarts of juice to
make punch. Tim needed 1 gal less
than the amount Allison needed.
5. 8 yd  ■ in. How much juice did Tim need?
A 24 C 96 F 3 qt H 5 qt
B 74 D 288 G 4 qt J 6 qt
Go On

Form A • Multiple Choice Assessment Guide AG 169

 UNIT 8 TEST • PAGE 2
Name

11. Which is the best unit to measure 16. Change to milliliters.

the distance between Phoenix and 4 L  ■ mL
San Diego?
F 40 H 4,000
A cm C m G 400 J 40,000
B dm D km

17. Which lists 7 L, 75 mL, 74 L, and

12.Compare. Choose  ,  , or  for 7,400 mL in order from least to
the ●. greatest?

15 cm ● 15 dm A 75 mL, 7 L, 7,400 mL, 74 L

B 74 L, 7,400 mL, 7 L, 75 mL
F  G  H  C 75 mL, 7,400 mL, 7 L, 74 L
D 74 L, 7 L, 7,400 mL, 75 mL

13. Change to meters.

18. Choose the most reasonable unit
8,300 dm  ■ m for the mass of a large bag of
A 8.3 C 830 oranges.
B 83 D 83,000 F g H mL
G kg J L

14. Find the correct unit.

19. Change to grams.
27 m  2,700 ?
15 kg  ■ g
F m H km
G dm J cm A 15,000 C 150
B 1,500 D 15
© Harcourt

15. Which lists 890 cm, 76 dm, 5 dm, 20. Jim’s favorite book measures 26 cm
and 0.8 m in order from least to tall. The tallest book on his shelves
greatest? measures 17 cm less than twice that
height. How high is Jim’s tallest
A 890 cm, 5 dm, 76 dm, 0.8 m
book?
B 5 dm, 76 dm, 0.8 m, 890 cm
C 890 cm, 5 dm, 76 dm, 0.8 m F 69 cm H 35 cm
D 5 dm, 76 dm, 890 cm, 0.8 m G 52 cm J 30 cm
Go On

AG 170 Assessment Guide Form A • Multiple Choice

 UNIT 8 TEST • PAGE 3
Name

Choose the best answer. 26. Which figure can be

made from this pattern?
21. What is the perimeter?
10 cm F square pyramid
A 45 cm 5 cm
G triangular prism
B 40 cm H triangular pyramid
10 cm 8 cm
C 35 cm J cube
D 30 cm 12 cm

22. Which plane figures can make the

faces of a rectangular prism? 27. The perimeter of
9 ft ?
F squares and circles the triangle is
G squares and rectangles 32 ft. What is the
H rectangles and triangles unknown length? 12 ft
J triangles A 11 ft C 13 ft
23. Don buys 2 notebooks for $5. B 12 ft D 14 ft
He pays for them with a $10 bill.
How much did a pen cost?
A $2.50 28. Which figure
B $5 can be made
C too much information from this net?
D too little information
F cube
24. What is the volume of this figure? G triangular prism
H square pyramid
F 12 cubic units
4 units J rectangular prism
G 16 cubic unit
H 36 cubic units 2 units
J 48 cubic units 6 units
29. Paul’s kitchen is a rectangle that is
25. How does the area change from
Room A to Room B to Room C? 20 feet wide. The perimeter is 68 ft.
What is the area?
ROOM SIZES A 132 sq ft C 340 sq ft
Length Width Area B 280 sq ft D 1,360 sq ft
(ft) (ft) (sq ft)
Room A 10 10 100
© Harcourt

Room B 10 12 120
Room C 10 14 140 30. Which figure can be
made from this pattern?
A decreases by 2 ft F cube
B increases by 4 sq ft G triangular pyramid
C decreases by 10 sq ft H rectangular prism
D increases by 20 sq ft J square pyramid
Go On

Form A • Multiple Choice Assessment Guide AG 171

 UNIT 8 TEST • PAGE 4
Name

31. What are the area and perimeter 36. What is 10 in.
6 in.
of this figure? the area of
10 in.
this figure? 13 in.
A Area: 90 sq cm, 7 in.
Perimeter: 21 cm 9 cm F 130 sq in.
B Area: 108 sq cm, G 140 sq in. 20 in.
12 cm
Perimeter: 21 cm H 200 sq in.
C Area: 108 sq cm, J 220 sq in.
Perimeter: 42 cm
D Area: 118 sq cm, 37. What is the 5 ft
Perimeter: 42 cm perimeter? 2 ft
8 ft 4 ft
A 50 ft 5 ft
32. What is the volume of a rectangular B 32 ft
prism that is 6 cm long and 8 cm C 40 ft 8 ft
high? D 30 ft
F 14 cubic cm
G 48 cubic cm 38. The area of 12 in.
H too much information the rectangle is
96 square inches. ?
J too little information
What is the
unknown length?
33. Margo has a box 6 inches long,
4 inches wide, and 5 inches high. F 8 in. H 6 in.
What is the volume of the box? G 7 in. J 5 in.

A 15 cubic in. C 120 cubic in. 39. Which plane figures can make the
B 24 cubic in. D 140 cubic in. faces of a triangular prism?
A squares and circles
34. What is the perimeter? B squares and rectangles
F 77 cm C rectangles and triangles
G 36 cm 7 cm D triangles
H 29 cm
J 18 cm 11 cm 40. What is the volume of this figure?

35. The area of the rectangle is

© Harcourt

45 square feet. What is the

unknown length?

3 ft
F 240 cubic units
?
G 200 cubic units
A 13 ft C 15 ft H 160 cubic units
B 14 ft D 16 ft J 140 cubic units
Stop

AG 172 Assessment Guide Form A • Multiple Choice

 UNIT 8 TEST • PAGE 1
Name

Write the correct answer. 6. 8 gal  ■ pt

1. What is the most reasonable unit of

measure for the height of a Ferris
wheel? Write in., ft, yd, or mi.

7. 12 c  ■ pt

2. Measure to the nearest 1

8 inch.

8. 48 oz  ■ lb

3. Write 5 47 in., 5 12 in., and 5 78 in. in

order from least to greatest.

9. Kamilla’s dog weighs 38 pounds.

Her cat weighs 4 pounds less than
half as much as her dog. How much
does her cat weigh?

For 4–8, complete.

4. 3 mi  ■ ft
© Harcourt

10. James has 2 quarts of paint. He

needs 1 pint less than that amount
to paint his whole toy box. How
5. 7 yd  ■ in. much paint does James need in all?

Go On

Form B • Free Response Assessment Guide AG 173

 UNIT 8 TEST • PAGE 2
Name

11. What is the most reasonable unit of 16. Change to milliliters.

measure for the distance between 16 L  ■ mL
Sacramento and Seattle? Write cm,
dm, m, or km.

17. List 34 L, 430 mL, 8 L, and 8,132 mL

in order from least to greatest.
12. Compare. Write , , or  in
the
● .

20 km ● 20 dm

13. Change to centimeters. 18. What is the most reasonable unit of

measure for the mass of a horse?
30 m  ■ cm
Write g, kg, L, or mL.

14. Write the correct unit. 19. Change to kilograms.

1,000 m  1 ? 9 kg  ■ g
© Harcourt

15. List 400 cm, 5 m, 63 cm, and 30 dm 20. Dominique’s favorite book measures
in order from least to greatest. 20 cm tall. Her tallest book is 5 cm
less than twice that height. How tall
is Dominique’s tallest book?

Go On

AG 174 Assessment Guide Form B • Free Response

 UNIT 8 TEST • PAGE 3
Name

Write the correct answer. 26. What figure can be made from
this net?
21. What is the 6 cm
perimeter of
this figure? 2 cm 5 cm
8 cm

3 cm
4 cm
22. Name the plane figures that are
faces of a triangular prism.
27. The area of this rectangle is 90 sq m.
What is the unknown length?

23. Lena buys 3 cat posters. She now 15 m

has $10 left. How much money did
?
Lena have? Tell whether you have
too much or too little information
to solve.

28. What figure can be made from

24. What is the volume of this figure? this net?

29. Amelia’s pool is a rectangle that is

25. How does the area change from
30 feet long. The area is 540 sq ft.
Room A to Room B to Room C?
What is the perimeter?
ROOM SIZES
Length Width Area
© Harcourt

(ft) (ft) (sq ft)

Room A 20 20 400 30. What figure
Room B 30 20 600 can be made
Room C 40 20 800
from this net?

Go On

Form B • Free Response Assessment Guide AG 175

 UNIT 8 TEST • PAGE 4
Name

31. What are the area and perimeter 36. What is the area of this figure?
of this figure?
7 ft 4 ft
32 ft 5 ft
14 ft
15 ft 10 ft

12 ft

32. What is the area of a rectangle that

is 6 feet long? Tell if there is too 37. What is the perimeter?
much or too little information.
12 yd 12 yd
Then solve, if possible.
23 yd
23 yd 23 yd

60 yd
33. Jesse has a box 9 cm long, 10 cm
wide, and 5 cm high. What is the
volume of the box?
38. The area of the rectangle is
80 square feet. What is the
unknown length?
34. What is the perimeter of this ?
figure?
5 ft
13 ft

5 ft

39. What plane figures can make the

faces of a cone?

35. The area of this rectangle is

72 square feet. What is the
perimeter? 40. What is the volume
© Harcourt

of this figure?
6 ft

Stop

AG 176 Assessment Guide Form B • Free Response

 UNIT 9 TEST • PAGE 1
Name

Choose the best answer. For 6–7, Carol is ordering a pizza

with one topping. Her choices are:
For 1–3, in an experiment you toss
a coin and use a spinner with Size: small or large
3 equal parts. The parts are colored Topping: anchovy, pineapple, shrimp
purple, orange, and white. 6. How many different one-topping
pizzas are possible for Carol to
1. Which is not a possible outcome?
order?
A heads, purple
F 6 G 8 H 9 J 12
B tails, white
C tails, orange
7. Which of the following is not a
D heads, 5
good way to find all the possible
outcomes?
2. Which is a possible outcome?
A doing the experiment twice
F 3, white B making a chart
G heads, white C making a tree diagram
H heads, heads D making an organized list
J purple, orange
For 8–10, consider these events for
3. How many possible outcomes are tossing a number cube labeled 1–6
there? and tossing a coin.
A 8 C 6 Event 1: getting a 2 on the number
B 7 D 4 cube
Event 2: getting heads in a coin toss
For 4–5, in an experiment you
Event 3: getting an odd number on the
toss a coin and use a spinner. number cube
The 4 equal parts of the spinner Event 4: getting a number less than
are colored red, blue, yellow, and 6 on the number cube
green.
8. Which of the events is most likely?
4. Which is a possible outcome? F 1 G 2 H 3 J 4
F heads, heads
G tails, white 9. Which of the events is unlikely?
H green, tails
© Harcourt

A 1 C 2 and 4
J 1, 2, heads B 2 and 3 D 3 and 4

5. How many possible outcomes are 10. Which of the events are equally
there? likely?
A 4 C 12 F 1 and 3 H 2 and 4
B 8 D 16 G 1 and 2 J 2 and 3
Go On

Form A • Multiple Choice Assessment Guide AG 193

 UNIT 9 TEST • PAGE 2
Name

For 11–14, find the probability of 17. The probability of pulling a tile that
pulling each color from a bag of is not green is
20 tiles: 8 purple, 4 blue, 3 black, A less likely C equally likely
3 white, and 2 orange. B certain D more likely

11. purple

A 280 , or 2
5 C 3
4
For 18–20, Gloria and Frederick are
B 4
9 D 4
5
playing a game with a 4-part
spinner. The sections of the spinner
12. orange are all the same size and labeled F,
18
  , or 
9
H 130 R, O, and G. A player scores a point
F 20 10
if the pointer stops on a letter in
G 290 J 
2
20 , or 
1
10 his or her name.
18. What is the probability that
13. black Frederick will score a point on a
spin?
A 1

20
7
 C 230
3
F  H 1

B 1

20
5 3
 , or 4 D 210 4 4
G 2
 , or 1
4

2 J 1

5
14. not orange
18 9
F 
20 , or 
10 H 1

20
6 4
 , or 5
17
G 20 J 15
  19. What is the probability that Gloria
20 will score a point on a spin?

For 15–17, a bag has 12 tiles: A 1

2 C 2
3
7 yellow, 2 white, 2 orange, and B 3
5 D 3
4
1 blue.
15. The probability of pulling a yellow
tile is
20. Is the game fair?
A certain C equally likely
© Harcourt

B less likely D more likely F Yes; both players have an equal

chance of scoring.
G Yes; both players have a good
16. The probability of pulling a red chance of scoring.
tile is H No; Gloria is more likely to win.
F impossible H more likely J No; Frederick is more likely to
G equally likely J less likely win.
Go On

AG 194 Assessment Guide Form A • Multiple Choice

 UNIT 9 TEST • PAGE 3
Name

21. What is the change in temperature 25. S

from 12°F to 28°F? A 7° C 10°
A 42°F C 30°F B 7° D 17°
B 40°F D 28°F

26. T
22. What is the change in temperature
F 14° H 24°
from 2°C to 13°C?
G 19° J 25°
F 11°C H 15°C
G 13°C J 16°C

27. What number does Y represent on

the number line?
For 23–26, use the thermometer
to find the temperature each letter Y
represents. •
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
N ➔ 60
55 A 5 C 
3
50 
45 B 0 D 5
40
35
30
25
20 ➔ 28. Compare. Choose  ,  , or  for
T
15 the ●.
10

5 6●0
0
S ➔ –10
–5 F  G  H 
–15
➔
M
–20

29. Which set of numbers is in order

°F from least to greatest?
A 3, 0, 4 C 0, 3, 4
23. M B 0, 4, 3 D 4, 0, 3
A 60° C 5°
© Harcourt

B 15° D 15°
30. Two numbers are positive. A third
number is negative. Which could
24. N not be one of the numbers?
F 60° H 50° F 3 H 
2

G 55° J 40° G 0 J 4
Go On

Form A • Multiple Choice Assessment Guide AG 195

 UNIT 9 TEST • PAGE 4
Name

31. What is the value of y when x is 12? 36. Which gives the input and
output values written as ordered
Input, x 8 9 10 pairs (x,y)?
Output, y 12 13 14
Input, x 4 5 6
A 15 C 17 Output, y 12 15 18
B 16 D 18
F (4,12), (5,15), (6,18)
G (4,5), (6,12), (15,18)
32. What is the value of y when x is 150 H (12,4), (15,5), (18,6)
J (4,15), (5,18), (6,12)
Input, x 64 72 100
Output, y 27 36 50 37. Which values make y  4x true?
A (4,8) C (6,10)
F 55 H 65 B (6,24) D (8,24)
G 60 J 75
38. Which gives the input and output
values written as ordered pairs
For 33–34, use the coordinate grid. (x,y)?

33. What is the Input, x 2 3 4

7
ordered pair T
Output, y 10 11 12
6
for point T? 5
4
y-axis

A (6,2) S F (10,2), (11,3), (12,4)

3
B (3,2) W V G (2,3), (3,11), (4,10)
2
C (2,6) 1 H (2,10), (3,11), (4,12)
D (2,3) J (2,11), (3,10), (4,12)
0 1 2 3 4 5 6 7
x-axis For 39–40, use this function table.
34. What is the point for the ordered
pair (3,2)? Input, x 2 3 4 5
Output, y 6 9 12 15
F point S H point V
G point T J point W
39. Which describes the relationship
between x and y?
35. Which values complete the function A x is 3 times y
© Harcourt

table for y  5x  2? B y is 3 times x

C x is 4 more than y
Input, x 1 2 3
D y is 4 more than x
Output, y ■ ■ ■
40. What is the value of y when x is 6?
A 5, 8, 13 C 7, 12, 17 F 18 H 12
B 5, 10, 15 D 7, 8, 13 G 16 J 10
Stop

AG 196 Assessment Guide Form A • Multiple Choice

 UNIT 9 TEST • PAGE 1
Name

Write the correct answer. For 6–7, Carol is ordering a pizza

with one topping. Her choices are:
For 1–3, you are doing an
experiment in which you toss Size: small, large
a coin and use a spinner. The Topping: beef, ham, pineapple,
spinner is divided into 3 equal shrimp
parts colored purple, orange, 6. How many one-topping pizzas are
and white. possible for Carol to order?
1. Name an impossible outcome.

7. Name a way to find all possible

outcomes.
2. Name a possible outcome.

3. How many possible outcomes are

there?
For 8–10, use the events of tossing
a coin and tossing a number cube
labeled 1–6.
Event 1: tossing a 2
For 4–5, you are doing an Event 2: getting heads
Event 3: tossing an odd number
experiment in which you toss
Event 4: tossing a number less than 6
a coin and use a spinner. The
spinner is divided into 4 equal 8. Name an unlikely event.
parts colored red, blue, yellow,
and green.
4. Name an impossible outcome.
9. Name a likely event.
© Harcourt

5. How many possible outcomes are

there? 10. Name two equally likely events.

Go On

Form B • Free Response Assessment Guide AG 197

 UNIT 9 TEST • PAGE 2
Name

For 11–14, a bag has 15 colored 16. The probability of pulling a red tile
tiles: 6 purple, 3 blue, 2 black,
1 white, and 3 orange. Write the
probability of pulling each color
out of the bag.
11. purple
17. The probability of pulling a tile that
is not green is

12. orange

For 18–20, Barb and Arlene are

playing a game with a 4-part
spinner equally divided into
sections labeled C, R, A, and B.
13. black A player scores a point if she
spins a letter in her name.
18. What is the probability that Barb
will score a point on a spin?

14. not orange

19. What is the probability that Arlene

will score a point on a spin?

For 15–17, a bag has 12 tiles:

1 purple, 7 white, 2 orange, and
2 blue. Describe the probability of
© Harcourt

each event using likely, unlikely,

certain, or impossible.
20. Is the game fair? Why or why not?
15. The probability of pulling a purple
tile

Go On

AG 198 Assessment Guide Form B • Free Response

 UNIT 9 TEST • PAGE 3
Name

21. What is the change in temperature 27. Write the number that Y represents
from 16°F to 32°F? on the number line.

Y
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5

22. What is the change in temperature

from 8°C to 21°C?

For 23–26, use the thermometer

to find the temperature each
28. Write , , or  in the ●.
letter represents.
23. A 60 ➔
0 ● 
3

55 D
50
45
40
35
B ➔ 30
25
20
15
24. B 10
5 29. List 2, 4, and 0 in order from
C➔ 0 least to greatest.
–5 ➔
A
–10
–15
–20

25. C °F
© Harcourt

30. What is the only number that is

26. D neither positive nor negative?

Go On

Form B • Free Response Assessment Guide AG 199

 UNIT 9 TEST • PAGE 4
Name

31. What is the value of y when x is 60? 36. Write an ordered pair, (x,y), that
makes y  2x  1 true.
Input, x 27 36 49
Output, y 22 31 44

32. What is the value of y when x is 30?

For 37–38, write the input
Input, x 15 20 25 and output values as ordered
Output, y 30 40 50 pairs (x,y).
37. Input, x 2 4 6 8
Output, y 5 7 9 11

For 33–34, use the coordinate grid.

7
6 •C
5 •W
y-axis

4 •F 38. Input, x 1 2 3 4
3 A
2 • Output, y 4 8 12 16
1
0 1 2 3 4 5 6 7
x-axis

33. Write the ordered pair for point F.

For 39–40, use this function table.

Input, x 3 4 5 6
34. Write the point for the ordered
Output, y 15 20 25 30
pair (7,5).

39. Describe the relationship between

x and y.
© Harcourt

35. Complete the function table for

y  4x  3.

Input, x 1 2 3 4 40. Write the value of y when x is 9.

Output, y

Stop

AG 200 Assessment Guide Form B • Free Response