2. The picture below is a scale drawing of an actual American flag. The stars and some of the stripes
are white. The background behind the stars is blue, and the darker stripes are red.
What is an estimate of the percent of the flag that is red?
Support your answer using words, numbers and/or diagrams.
What is an estimate of the percent of the flag that is red?____________________________
2. (NS05a) A 2-point response: The student shows an understanding of how to evaluate the
appropriateness of estimation versus exact calculation in situations involving multi-step computations
with rational numbers by doing the following:


writes a value between 40 and 45 inclusive
shows work that supports the answer by using an appropriate estimation strategy
A 1-point response: The student does one of the following:


writes a value between 40 and 45
shows work that supports the answer by using an appropriate estimation strategy
A 0-point response: The student shows very little or no understanding of how to evaluate the
appropriateness of estimation versus exact calculation in situations involving multi-step computations
with rational numbers
No tools
4. Mr. Macintosh bought 500 apples. He threw away 18% of the apples which were rotten. The rest
of the apples were sold for $0.30 each,
How much money did he collect from the sale?
Support your answer using words, numbers, and/or diagrams.
How much money did he collect from the sale? ______________________
4. (NS02c) A 2-point response: The student shows an understanding of using percents, ratios, and
/or direct or indirect proportion to determine a number of events, objects, measurements, or numbers
by doing the following:



writes 123 or equivalent
correctly calculates the number of good apples
multiplies to obtain a correct answer
A 1-point response: The student does one of the following:



writes 123 or equivalent
correctly calculates the number of good apples
multiplies to obtain a correct answer
A 0-point response: The student shows very little or no understanding of using percents, ratios, and
/or direct or indirect proportion to determine a number of events, objects, measurements, or numbers.
Tools
6. Samantha had 120 beads. She gave 20% to Wendy, 42% to Emily and 8% to Joanne.
How many beads did she give away?
Support your answer using words, numbers and/or diagrams.
How many beads did she give away? _____________________________
6. (NS02c) A 2-point response: The student shows an understanding of using percent to determine a
number of objects by doing the following:


Writes 84
Shows work to support answer
A 1-point response: The student does one of the following:


Writes 84
Shows work that could have led to a correct answer
A 0-point response: The student shows very little or no understanding of using percent to determine a
number of objects.
No tools
14. Mr. Johnson purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for
adults and $10 for children under 12.
How many tickets for children under 12 did Mr. Johnson purchase?
Support your answer using words, numbers and/or diagrams.
How many tickets for children under 12 did Mr. Johnson purchase?
_______________________
14. AS03d
15. The drama club plans to sell cans of orange soda and lemon-lime soda at its annual theater event.
The club has enough money to buy a total of 288 cans of soda and has decided to buy twice as many
cans of lemon-lime soda as orange soda.
What is the number of cans of each flavor of soda the drama club will buy for the event?
Support your answer using words, numbers and/or diagrams.
What is the number of cans of each flavor of soda the drama club will buy for the event?
Number of cans of orange soda__________________________________________
Number of cans of lemon-lime soda______________________________________
15. (AS03d) A 2-point response: The student shows an understanding of how to solve a system of
equations by doing the following:


writes 96 cans of orange soda and 192 cans of lemon lime soda
supports the answer by using an appropriate strategy (writing and solving a system of
equations, completing a table of values, guess and check, etc.).
A 1-point response: The student does one of the following:


writes 96 cans of orange soda and 192 cans of lemon lime soda
supports the answer by using an appropriate strategy that could have led to a correct answer
(writing and solving a system of equations, completing a table of values, guess and check,
etc.).
A 0-point response: The student shows very little or no understanding of how to solve a system of
equations.
Either tools or non-tools
16. Ed drove from his apartment in Quechee to the golf course in Woodstock. He started driving at
2:00 p.m. As he drives, the distance from the Woodstock Country Club depends upon the number of
minutes he has been driving. When he has been driving for 12 minutes, he is 16 miles away from
reaching the golf course. When he has been driving for 27 minutes, he is 6 miles away. Ed’s speed
stays constant throughout the trip.

Determine when Ed will arrive at the Woodstock Country Club.

Determine his average speed for the trip.
Support your answer using words, numbers and/or diagrams.
The time Ed will arrive at the Woodstock Country Club _________________
His average speed for the trip ________________________________
16. (ME02c) A 2-point response: The student shows an understanding of using rates to determine a
measured outcome by doing the following:
 Writes 2:36 pm
 2/3 miles/minute or equivalent (2 miles per 3 minutes or 40 mph)
 Shows work to support answers
A 1-point response: The student does one of the following:
 Writes 2:36
 2/3 or equivalent ex: 40 mph
 Shows work that could lead to the correct answer
A 0-point response: The student shows very little or no understanding of using rates to determine a
measured outcome.
Tools
18. A painter needs 15 gallons of fern green paint to paint a house. The formula for mixing fern
green paint is 4 parts yellow to 1 part blue paint.
How many gallons of yellow paint will the painter need?
Support your answer using words, numbers and/or diagrams.
How many gallons of yellow paint will the painter need? _________________________
18. (NS02c) A 2-point response: The student shows an understanding of using ratio or direct
proportion to determine the amount of paint needed by doing the following:


Writes 12
Shows work to support answer
A 1-point response: The student does one of the following:


Writes 12
Shows work to support answer
A 0-point response: The student shows very little or no understanding of using ratio or direct
proportion to determine the amount of paint needed.
No tools
19. Fred is planning to build a shed. He wants it to be 10 feet wide with 3.5 feet on either side of the
door. In a scale drawing he will prepare, ¼ inch will equal one foot.
How wide should he make the door of his shed in the drawing?
Support your answer using words, numbers and/or diagrams.
How wide should he make the door of his shed in the drawing? ________________________
19. (NS02c) A 2-point response: The student shows an understanding of using direct proportion to
determine the length of an object by doing the following:


Writes 0.75
Shows how to find the length of the door in his drawing using direct proportion
A 1-point response: The student does one of the following:


Writes 0.75
Shows how to find the length of the door in his drawing using direct proportion
A 0-point response: The student shows very little or no understanding of using direct proportion to
determine the length of an object.
No tools
20. Frugal Fred noted with dismay that Brand A was 50 percent more expensive than Brand C and
contained 20 percent less weight than Brand B. Brand B was 50 percent heavier than Brand C but
cost 25 percent more than Brand A. He wanted to get the most amount of the product for the least
amount of money.
What Brand should Frugal Fred choose to purchase?
Support your answer using words, numbers and/or diagrams.
What Brand should Frugal Fred choose to purchase? _____________________________
13. SR02a
21. The city of Nowhere had a population of 10,000,000. During a 7-year drought, the population
decreased by 30% each year.
What was the population at the end of the 7-year drought?
Support your answer using words, numbers and/or diagrams.
What was the population at the end of the 7-year drought?
_____________________________
21. (NS04a) A 2-point response: The student shows an understanding of multi-step computations.


Writes 823,543
Shows work that supports the answer
A 1-point response: The student does one of the following:


Writes 823,543
Shows work that could have led to a correct answer
A 0-point response: The student shows very little or no understanding of multi-step computations.
Tools
22. Great Grandma has a very expensive string of rare pearls. She also said that whichever of her
grandchildren solved her problem first would inherit the string of pearls. Great Grandma always did
tell us to work hard on math because “you never know when it might come in handy.”
Here is Great Grandma’s problem:




The string of pearls is worth $45,000.00
The string has 33 pearls on it and the largest and most expensive pearl is the middle one.
Starting from one end where the first pearl is worth $300.00, each pearl is worth $100.00
more than the one before, up to the middle.
Starting from the other end where the first pearl is worth $450.00, each pearl is worth
$150.00 more than the one before, up to the middle.
What is the value of the middle pearl?
Support your answer using words, numbers and/or diagrams.
What is the value of the middle pearl? _____________________________
22. (SR02a) A 2-point response: The student shows an understanding of solving a problem by
doing the following:
Understanding
 Shows an understanding of the problem by using all of the information
Strategy
 Uses an appropriate strategy
Answer
 Writes 3000.00
A 1-point response: The student does one of the following:
Understanding
 Shows an understanding of the problem by using all of the information
Strategy
 Uses an appropriate strategy
Answer
 Writes 3000.00
A 0-point response: The student shows very little or no understanding of solving a problem.
Tools
1
of the jelly beans from Jar A into Jar B. After that there were 96 jelly beans
2
in Jar A and three times as many in Jar B.
25. Robert transferred
How many jelly beans were in Jar A and Jar B at first?
Support your answer using words, numbers and/or diagrams.
How many jelly beans were in Jar A and Jar B at first? ________________________
SR02a/AS02a
26. Daniel and Sheri both work at a Washington company that manufactures machine parts. During
quality control testing they must check the thickness of a machine part. The thickness of the part
should be 0.06 mm, and be within an acceptable range of plus or minus 10% of 0.06 mm. The chart
shows a quality control sample of ten parts and their thicknesses.
Part
Thickness (mm)
A
B
C
D
E
F
G
H
I
J
0.056
0.069
0.057
0.061
0.047
0.070
0.059
0.053
0.061
0.062

Determine the minimum and maximum acceptable thicknesses for the machine part.

Determine how many parts in the table are within the acceptable range for the thickness of a
part.
Support your answer using words, numbers and/or diagrams.
Minimum acceptable thickness __________________
Maximum acceptable thickness __________________
Number meeting acceptable thickness _____________________
NS02a
28. The three Family children, Ed, Lisa and Judy, are building a rock wall. They have 21 boulders to
move across a field. Seven of the boulders are large, each weighing 25 pounds. Seven of the
boulders are medium sized, each weighing 20 pounds. Seven of the boulders are small, each
weighing 15 pounds. Each child has a wheelbarrow. Mama and Papa Family have decided that each
child must share the task equally. Each child must carry the same numbers of boulders and the same
number of pounds.
How did the children manage to do this?
Support your answer using words, numbers and/or diagrams.
28. (SR02a) A 2-point response: The student shows an understanding of solving a problem by
doing the following:
Understanding

Shows an understanding of the problem by using all of the information
Strategy
 Uses an appropriate strategy
Answer
 Writes 140 and 7
A 1-point response: The student does one of the following:
Understanding
 Shows an understanding of the problem by using all of the information
Strategy
 Uses an appropriate strategy
Answer
 Writes 140 and 7
A 0-point response: The student shows very little or no understanding of solving a problem.
No tools
30. Joe built a number cube with each side numbered consecutively with 8 as the starting value.
What is the sum of the six numbers on the number cube?
Support your answer using words, numbers and/or diagrams.
What is the sum of the six numbers on the number cube? ______________________
30. (NS04a) A 2-point response: The student shows an understanding of constructing solutions and
verifying results by doing the following:


Writes 63
Shows an understanding of the problem by using a strategy that supported the answer.
A 1-point response: The student does one of the following:


Writes 63
Shows an understanding of the problem by using a strategy that could have led to a correct
answer OR that is consistent with their answer.
A 0-point response: The student shows very little or no understanding of constructing solutions and
verifying results.
No tools
96. A woman who has been inactive plans to begin swimming one hour each day in the morning and
jogging 45 minutes in the afternoon. This change will result in her daily energy requirement
increasing by the same amount she expends swimming and jogging.
What will be the woman’s new daily energy requirement in kilojoules (kJ) after she begins swimming
one hour each day and jogging 45 minutes each day?
Support your answer using words, numbers and/or diagrams.
What will be the woman’s new daily energy requirement in kilojoules (kJ) after she begins
swimming one hour each day and jogging 45 minutes each day?
_________________________________________
96. (SR03e) A 2-point response: The student shows an understanding of how to complete multiple
step calculations requiring two or more different operations by doing the following:


writes 12,930 kilojoules (kJ)
shows work that supports the answer.
A 1-point response: The student does one of the following:


writes 12,930 kilojoules (kJ)
shows a method that could have led to a correct answer.
A 0-point response: The student shows very little or no understanding of how to complete multiple
step calculations requiring two or more different operations.
No tools
96. (SR03e) A 4-point response: The student shows an understanding of how to read and interpret
data presented in tables or ordered pairs, line graphs, and/or scatter plots and to make an inference or
predication based on the given data by doing the following:




Writes 12,930 kJ
Shows or explains swimming 1 hour expends 3000 kJ of energy
Shows or explains jogging 45 minutes expends 1980 kJ of energy
Shows or explains total amount of energy expended is 4980 kJ
A 3-point response: The student does three of the following:




Writes 12,930 kJ
Shows or explains swimming 1 hour expends 3000 kJ of energy
Shows or explains jogging 45 minutes expends 1980 kJ of energy
Shows or explains total amount of energy expended is 4980 kJ
A 2-point response: The student does two of the following:




Writes 12,930 kJ
Shows or explains swimming 1 hour expends 3000 kJ of energy
Shows or explains jogging 45 minutes expends 1980 kJ of energy
Shows or explains total amount of energy expended is 4980 kJ
A 1-point response: The student does one of the following:




Writes 12,930 kJ
Shows or explains swimming 1 hour expends 3000 kJ of energy
Shows or explains jogging 45 minutes expends 1980 kJ of energy
Shows or explains total amount of energy expended is 4980 kJ
A 0-point response: The student shows very little or no understanding of how to read and interpret
data presented in tables or ordered pairs, line graphs, and/or scatter plots and to make an inference or
predication based on the given data.
31. During summer vacation, Sara works at her part-time job. Last year she earned $6.25 per hour.
She recorded the times that she worked during one week this summer in a chart. Her boss gave her a
raise this summer so that her pay check was $124.25 for the one week she recorded.
Sara’s Hours of Work During One Week This Summer
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Time In
9:00 a.m.
8:30 a.m.
8:45 a.m.
9:15 a.m.
8:30 a.m.
Time Out
12:00 noon
12:00 noon
12:30 p.m.
1:30 p.m.
11:45 a.m.
What percent increase in hourly wage did Sara get this summer?
Support your answer using words, numbers and/or diagrams.
What percent increase in hourly wage did Sara get this summer? ________________________
SR02a-33. John has $150.00 in his bank account and he plans to add $2.00 each week. Pam has $200.00 in
her bank account and she plans to add $6.00 each week.
After how many weeks will Pam have twice as much money in her bank account as John has in his
bank account?
Support your answer using words, numbers and/or diagrams.
After how many weeks will Pam have twice as much money in her bank account as John has
in his bank account? ____________________________________
AS03d-34. Mrs. Martinez ordered a pizza. The boys ate
the boys, Mike, said that all of them ate
2
1
of the pizza while the girls ate of it. One of
5
2
3
of the whole pizza.
7
Was Mike correct?
Support your answer using words, numbers and/or diagrams.
Was Mike correct? ________________________
SR02a-38. Five flags are evenly spaced around a circular track. It takes Tony 15 seconds to run from the
first flag to the third flag.
How long will it take Tony to run twice around the track?
Support your answer using words, numbers and/or diagrams.
How long will it take Tony to run twice around the track?
_____________________________
SR02a-39. A grocer filled 1 large bag and 3 small bags with 3 kg of salt. Each small bag contained
much salt as the large bag.
How many grams of salt were there in each small bag?
Support your answer using words, numbers and/or diagrams.
1
as
3
How many grams of salt were there in each small bag? _____________________
SR02a-40. At a garage sale, Sarah sold two kitchen gadgets at $2.40 each. Based on her cost for the items
she made a profit of 20% on one of the gadgets and lost 20% on the other.
Did she make a profit, have a loss, or break even?
Support your answer using words, numbers and/or diagrams.
Did she make a profit, have a loss, or break even? _______________________________
SR02a-101. The circle graph represents the membership of a service organization. In this organization,
of the members are female.
What fractional part of the total membership consists of males who are 18 or older?
Support your answer using words, numbers and/or diagrams.
2
3
What fractional part of the total membership consists of males who are 18 or older?
_______________________________________
101. (SR03a) A 2-point response: The student shows an understanding of constructing solutions
and verifying results by doing the following:


Writes 15% - 20% (inclusive) or 1/6 or equivalent
Shows an understanding of the problem by using words, numbers and/or diagrams.
A 1-point response: The student does one of the following:


Writes 15% - 20% (inclusive) or 1/6 or equivalent
Shows work that could have lead to a correct answer, but had more than one
computational error.
A 0-point response: The student shows very little or no understanding of constructing solutions and
verifying results.
No tools
41. Anna and Barb practiced serving a volleyball prior to the start of their team’s practice.

Ann successfully served the ball over the net 18 out of 25 times

Barb successfully served the ball over the net 75% of the time.
Which girl had the greater success in serving the ball over the net?
Support your answer using words, numbers and/or diagrams.
Which girl had the greater rate of success in serving the ball over the net? ________________
16. NS01e/NS02
1
5
43. A flight of stairs is 10 m high. Jimmy walks down the stairs and still has 6 m of stairs to go
3
8
before he reaches the bottom of the flight of stairs.
How far down the stairs has Jimmy walked?
Support your answer using words, numbers and/or diagrams.
How far down the stairs has Jimmy walked? _______________________________
NS
44. One plan for a state income tax requires those persons with income of $10,000 or less to pay no
tax and those persons with income greater than $10,000 to pay a tax of 6 percent only on the part of
their income that exceeds $10,000.
A person’s effective tax rate is defined as the percent of the total income that is paid in tax.
Could any person’s effective tax rate be 6 percent?
Support your answer using words, numbers and/or diagrams.
Could any person’s effective tax rate be 6 percent? ______________________
18. SR02a
47. There were 368 pumpkins in the pumpkin patch, but it was still difficult to find the perfect
pumpkin. Every third pumpkin was too small. Every fourth pumpkin was too green. Ever fifth
pumpkin had a broken stem and every sixth pumpkin had the wrong shape.
How many perfect pumpkins were there in the pumpkin patch?
Support your answer using words, numbers and/or diagrams.
How many perfect pumpkins were there in the pumpkin patch? _______________________
SR02a-48. Gregg dropped a hammer and broke a 9-inch square floor tile in his kitchen. When he went to
the store, he found that the color and style only is being made in the 12-inch square tile blocks.
What is the least number of 9-inch square tiles that must be removed if you are going to replace them
with 12-inch square tiles?
Support your answer using words, numbers and/or diagrams.
What is the least number of 9-inch square tiles that must be removed if you are going to
replace them with 12-inch square tiles? __________________________________
SR02a--
50. Mr. Lim bought a van for $38,000. He paid the car dealer $10,000 on the day he purchased the
van and borrowed rest of the money from a bank. The bank charged 4.27% interest per year. He
paid off the loan in one year.
What was the total amount of money he paid to the bank?
Support your answer using words, numbers and/or diagrams.
What was the total amount of money he paid to the bank? ___________________________
21. NS02c
51. Todd left for school in the morning. One-fourth of the way to school, he passed a Post Office.
He checked his watch and saw that the time was 7:40 a.m. One-half of the way, Todd passed the
bank building. Todd again looked at his watch and saw that the time when he passed the bank was
7:47 a.m. Todd continued walking at this same speed and without any delays.
What time did Todd get to school?
Support your answer using words, numbers and/or diagrams.
What time did Todd get to school? __________________________________________
SR02a-53. Alice works at the golf club and retrieves lost golf balls and takes care of the renting of golf
carts. She makes $6.25 per hour plus $0.25 for each golf ball that she finds. She found 6 golf balls
per hour last Saturday while making a total of $54.25 for the day.
How many hours did Alice work last Saturday?
Support your work using words, numbers and/or diagrams.
How many hours did Alice work last Saturday? _________________________________
23. SR02a