Henry6MA5 (HMA6FORMATIVE)
Name:_____________________________________________
Date:________________________
1. Which expression is NOT equivalent to
A.
B.
C.
D.
2. A cafeteria lunch buffet has the salads shown.
• 6 chicken salads
• 10 egg salads
• 8 tuna salads
• p pasta salads
The cafeteria workers plan to make twice as many fruit salads as tuna salads and pasta salads combined.
Part A
Using p to represent the number of pasta salads, write an expression that can be used to determine the number of fruit
salads the cafeteria workers plan to make. Use your expression to compute the number of fruit salads they will make
if
Show your work.
Part B
The cafeteria sold of the chicken, egg, and tuna salads combined. Each salad sold for $7.99. What was the total
sales amount for chicken, egg, and tuna salads? Show your work.
Part C
The next day the cafeteria workers will increase the number of chicken salads to 9 and the number of tuna salads to
12. They want to increase the number of egg salads by the same ratio. How many egg salads should they make the
next day? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
3. Alba has 160 square inches of craft paper to wrap the figure shown.
Part A
Alba cuts the craft paper into shapes to represent each face of the figure. How many triangles did Alba cut out of the
craft paper?
Part B
Draw the net of the figure. Label the side lengths in your net.
Part C
What is the area of each triangle and rectangle? Show your work.
Part D
Alba glues the shapes onto the figure to cover it. How much craft paper did Alba not use? Show your work or explain
your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
4. A neighborhood group makes welcome baskets for new families in the neighborhood. Each basket contains
muffins, coupons for local stores, and a map of the area. The table shows the number of each item needed for five
welcome baskets.
Part A
Using the information in the table, what is the ratio of number of coupons to the number of muffins per basket?
Explain your answer.
Part B
All the baskets will have the same ratio of items. Complete the table to show the total number of each type of item
needed to make 12 baskets and 30 baskets. Show your work.
Part C
The muffins placed in the baskets cost $1.25 each, but the neighborhood group gets a 20% discount if they purchase
one dozen or more. What is the cost of one dozen of muffins before the 20% discount is applied? Show your work.
Part D
Write an expression that can be used to determine the cost of d dozen muffins, including the discount. Evaluate your
expression for
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
5. Right triangle ABC has an area of 45 square units. Two of the three vertices are shown on the coordinate plane.
Which coordinates could represent the location of vertex C ?
A.
B.
C.
D.
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Henry6MA5 (HMA6FORMATIVE)
6. All the students in sixth grade went on a field trip. The teacher put the students into groups of 25 students each.
The table shows the numbers of boys and girls in each group. The number of boys and the number of girls in Group 5
is unknown.
Part A
Write an equation to represent the number of boys, b , and the number of girls, g , that are in each group.
Part B
The number of students in the Group 5 can be found by using this information.
• There were more girls than boys.
• The number of boys was 2 more than 40% of the total students in the group.
How many boys are in Group 5? How many girls are in Group 5? Show your work using the equation from Part A.
Part C
Create a coordinate grid and graph the data from the table that show a relationship between the number of boys and
the number of girls in each group. Include labels for the x -axis and y -axis. What do you notice about the points on
the grid?
If you knew the value of the x -coordinate, how could you determine the value of the y -coordinate? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
7. Matt’s bank account balance at the end of each week for the month of October is shown in the table.
Part A
What is the mean account balance for the amounts in the table? Show your work.
Part B
The expression below can be used to determine Matt’s take-home pay, in dollars, in one week when he works h
hours.
What is the amount Matt earns when
Show your work.
Part C
Matt deposited $311.50 into his account on October 28. After he paid several bills from the account, his account
balance was
What was the total amount of the bills he paid that resulted in this balance? Explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
8. Belinda walked around her neighborhood for 20 minutes each morning.
Part A
Write an equation to find T , the total number of minutes she walked for any number of mornings. Use m to represent
the number of mornings she walked.
Part B
Belinda recorded the number of pets she saw on her walk every morning for eight days.
12, 19, 21, 8, 6, 9, 15, 13
What are the mean and median number of pets Belinda saw? Show your work. Round your answers to the nearest
tenth.
Part C
From the data showing the number of pets Belinda saw each day, determine the interquartile range. Show your work.
Which data point is farthest from the mean?
Write an equation to determine the distance, D , from any given data point, p , when p is greater than the mean.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
9. Kyle graphed the first two vertices of a pentagon on a coordinate grid. He drew a line connecting the two vertices
with a line segment and labeled it s .
Part A
What are the coordinates of the points Kyle graphed? How long is the length of side s ? Show your work.
Part B
The pentagon has two sides with the same length. Graph the remaining vertices of the pentagon on the coordinate
grid. What are the coordinates of the remaining vertices? Explain why you chose the vertices you did.
Part C
What is the area, in square units, of the pentagon you created? Show your work or explain your answer.
Part D
Tom created another pentagon with an area greater than the area of the pentagon you created in parts B and C.
• What could be the dimensions of Tom’s pentagon?
• What is the area of Tom’s pentagon?
• How much greater is this area than the pentagon you created?
Explain your answers.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
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Henry6MA5 (HMA6FORMATIVE)
10. A hand is a measure used to describe a horse’s height. One hand is equivalent to four inches.
Part A
Complete the table to show n , the number of inches for h hands.
Part B
Write an equation to show the relationship between the number of hands, h , and the number of inches, n .
Part C
How would the values in the second column change if you converted hands, h , to feet, f ?
Complete the table to show the number of feet in hands.
Write an equation to show the relationship between the number of hands, h , and the number of feet, f .
Part D
Tammy rode a horse that was at least 5 feet tall. What is the shortest the horse could be, in inches? What is the
shortest the horse could be, in hands? Show your work.
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Henry6MA5 (HMA6FORMATIVE)
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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11. The members of the school pep squad had $200 to spend on an upcoming dance. They spent $44.15 on
decorations and plan on spending the rest of the money on food and drinks.
Part A
Write an inequality to show f , the amount of money the members of the pep squad could spend on food and drinks.
List three possible solutions for f and plot your solutions on a number line.
Part B
After the members bought food and drinks, they had $15.85 left. Forty percent of the money they spent on food and
drinks was used to buy cookies. The remaining percent of money spent was used to buy drinks. How much money
was spent on cookies? How much money was spent on drinks? Show your work.
Part C
For the next dance they had $300 to spend on food and drinks. The ratio of food to drinks for the next dance is 2:3.
How much did they spend on food? How much did they spend on drinks? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
12. Jana purchased a computer with 1,024 gigabytes (GB) of hard drive space. When Jana received the computer,
22.7 GB of hard drive space was taken by programs and files. Jana copied over files and media from her previous
computer which took an additional 40.3 GB of the hard drive space.
Part A
How many gigabytes (GB) of space did Jana’s computer have after the programs, files, and media were installed or
copied from her previous computer? Show your work.
Part B
The chart shows Jana’s recent computer activity.
Explain the meaning of
in this situation.
Explain the meaning of 12 in this situation.
Explain the meaning of 0 in this situation.
Part C
Jana said
has a greater impact on the hard drive space than
Part D
Using the symbols
Is Jana’s statement correct? Explain your answer.
write an inequality that compares the numbers
and
on a number line.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
13. A jewelry box has a volume of 216 cubic inches. Which expression is equivalent to the volume of the jewelry
box?
A.
B.
C.
D.
14. The diagram shows three ants crawling on a tree. The number line shows the distance, in feet, that the ants are
from the ground level.
Which statement correctly compares the locations of the ants?
A. Ant P is the closest to ground level.
B. Ant R is farthest from ground level.
C. Ant R is closer to ground level than Ant P.
D. Ant Q is closer to Ant R than it is to ground level.
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Henry6MA5 (HMA6FORMATIVE)
15. A group of kids were playing tug of war during a picnic. The location of the knot on the rope is shown on a
number line.
Which value is opposite the location of the knot?
A.
B.
C. 3
D.
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Henry6MA5 (HMA6FORMATIVE)
16. The owner of an organic apple orchard made a table to show the price she charges visitors who pick apples in her
orchard.
Part A
The owner wrote the expression
to determine the price of picking apples in her orchard. Write an equivalent
expression without the use of parentheses. Explain your expression.
Part B
The owner sells baskets of apples in her store using the prices shown in the table. Write an expression to show the
total amount of money the owner would make selling these baskets. Use x for the number of 1-pound baskets, y for
the number of 2-pound baskets, and z for the number of 3-pound baskets.
Part C
In one day the owner sold three of the 3-pound baskets, ten of the 2-pound baskets and 25 of the 1-pound baskets.
What is the total amount of money the owner made selling the baskets? Show your work.
Part D
Each pound of apples costs the owner $3 to grow and sell. What is the total profit the owner made from selling the
baskets in Part C? Show your work or explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
17. Deion is creating a design for the back side of a T-shirt. He uses the coordinate grid shown to outline the area of
the T-shirt design. Each unit represents one centimeter.
Part A
Write the coordinates for each of the points shown. Explain how you could use the coordinates to find the distance
between points S and W .
Part B
Look at the points R and U in relation to the origin. Which different point is the same distance from the origin as
point T ? Explain your answer based on what you observed about the points R and U .
Part C
Divide the polygon into two congruent trapezoids. What is the area of each of the trapezoids? Show your work.
Part D
Deion decides to change the design of the T-shirt from the original polygon design to a rectangle design. He will
replace the polygon outline with a rectangular outline, but the area of the rectangle will be the same as the original
polygon. What are the possible dimensions of the rectangle Deion will use for his design? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
18. A bus travels a route through a neighborhood. The coordinate grid shows each stop along the route the bus travels.
Each unit represents one block.
Part A
The block where Tanya lives is located one block south of the 4th stop. If she misses the bus at the 4th stop, she
walks to the 7th stop. What coordinates show the location of the block where Tanya lives?
Part B
On Fridays, Tanya gets off the bus at the 7th stop to go to her friend’s house. Her friend lives two blocks north of the
7th stop. What coordinates shows the location of her friend’s block?
Part C
What is the shortest distance between Tanya’s block and her friend’s block? Explain two different ways you can use
the coordinate grid to determine the shortest distance.
Part D
Write an expression, using absolute value, which could be used to determine the distance in Part C.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
19. Construction workers need to dig a hole 10 feet deep in a location where there is a pile of dirt. The top of the dirt
pile is 10 feet above ground level, as shown in the diagram.
Which statement about these two measures is true?
A. They are equal numbers because
B. They are equal numbers because
C. They are opposite numbers because
D. They are opposite numbers because
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Henry6MA5 (HMA6FORMATIVE)
20. The table shows the supplies needed per member and the cost of the supplies for a cooking club. There are eight
members in the cooking club. Chocolate bars are sold in bags of 10 each and the eggs are sold in cartons of 12 each.
Part A
How many bags of chocolate bars and cartons of eggs does the cooking club need to purchase? Show your work or
explain your answer.
Part B
Based on the prices in the table, what is the total cost of the supplies for the eight members? Show your work.
Part C
The members of the cooking club decide to purchase 12 extra bags of chocolate bars to sell as part of a fundraiser.
What price does the cooking club pay per chocolate bar? If the chocolate bars are sold for $0.50 each, how much
money will the cooking club earn from selling the 12 bags of chocolate bars? Explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
21. Matt bought a
-ounce bottle of ground cinnamon to use to make cinnamon cookies. Some of the ingredients
for one dozen cinnamon cookies are
ounce of cinnamon, 1 cup of sugar,
cup of butter, and
cups of flour.
Part A
Matt has
cups of flour. How many ounces of cinnamon will Matt need if he uses all of the flour to make cookies?
Show your work and label your answer.
Part B
About how many dozens of cinnamon cookies could Matt make from a full bottle of cinnamon? Show your work.
Part C
There are 8 ounces in a cup. Write a ratio to describe the relationship between the amount of butter needed to the
amount of cinnamon needed. Explain the ratio you wrote.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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22. During the first 4 weeks of school, a cafeteria worker made more than 840 tacos. She made the same number of
tacos each week. Which inequality best represents t , the number of tacos she made during one week?
A.
B.
C.
D.
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Henry6MA5 (HMA6FORMATIVE)
23. Divide the polygon shown into triangles and rectangles.
Part A
Draw and label the base and height of each triangle.
Part B
Draw and label the width and length of each rectangle.
Part C
How can the coordinates of the vertices be used to determine the side lengths of each of the rectangles you drew in
Part B?
Part D
What is the total area, in square units, of the polygon?
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
24. A new bakery is handing out cake samples at the mall. Each cake is in the shape of a rectangular prism with the
dimensions shown.
Part A
The bakery will serve
your work.
-inch cubes of cake as samples. How many
-inch cubes can be made with one cake? Show
Part B
The sides and the top of one of the cakes are decorated with frosting for a display.
Draw rectangles to represent the parts of the cake decorated with frosting. Label each rectangle with its
measurements.
Write an expression that could be used to determine the area of the cake decorated with frosting.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
25. Jessica bought an 8-pound ham to serve at a party. She plans to serve each adult
pound.
Part A
Write an equation to represent the number of adult servings, x , Jessica can get from the 8-pound ham. Use your
equation to determine the number of adult servings in an 8-pound ham. Show your work.
Part B
The children at the party will each receive
of an adult serving. Write and solve an equation to determine the
number of children’s servings, s , Jessica can get from the 8-pound ham. Show your work.
Part C
The price of a ham is $1.98 per pound. Write an equation that can be used to determine the total cost, c , of a ham that
weighs p pounds.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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Henry6MA5 (HMA6FORMATIVE)
Answer Key
1. B)
2.
3.
4.
5. B)
6.
7.
8.
9.
10.
11.
12.
13. C)
14. C) Ant R is closer to ground level than Ant P.
15. D)
16.
17.
18.
19. C) They are opposite numbers because
20.
21.
22. C)
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Henry6MA5 (HMA6FORMATIVE)
23.
24.
25.
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