Name_____________________ Class_____________ Date__________
Math 6 Practice Exam: Constructed Response
UNIT
5
COMMON
CORE
Sweet Success? A youth group is raising money for a ski trip by baking and selling
muffins on weekend mornings. The money raised will be distributed evenly among the
group members, and the goal is to raise $65 per person. Will the group meet this goal?
CC.6.RP.1
CC.6.RP.2
CC.6.RP.3a,
b, c, d
Pumpkin Muffins
4 cups white flour
4 cups wheat flour
4 tsp baking soda
2 tsp salt
4 tsp cinnamon
2 tsp ginger
1 tsp cloves
3 cups brown sugar
6 tsp molasses
1 cup oil
8 eggs
4 cups pumpkin
4 tsp vanilla
3 cups milk
1 Making Muffins
Ruth volunteered to make pumpkin muffins for the sale. The ingredients used in Ruth’s recipe are
shown.
A Write the ratio of total flour to sugar in three different ways.
B Write the ratio of vanilla to molasses. Then write a ratio that is equivalent. Explain how you
found the equivalent ratio.
C At the grocery store, Ruth sees that a 15-ounce can of pumpkin costs $1.59 and a 29-ounce can
of pumpkin costs $3.05. Which is the better buy?
D Ruth decides to make a larger batch of muffins for the bake sale by increasing the recipe. The
increased recipe requires 6 teaspoons of cinnamon. Now Ruth must determine how many eggs
she needs.
What is the ratio of cinnamon to eggs in the original
recipe?
Use the table to help you find the number of eggs that Ruth needs.
Cinnamon (tsp)
4
Eggs
8
Ruth needs
6
eggs.
2 Preparing for the Sale
Length
1 inch = 2.54
centimeters
A The group has a 6-foot long table and a plastic tablecloth for the sale. The tablecloth’s package
states that the tablecloth is 180 centimeters long. Is the tablecloth long enough to cover the
table? Explain.
B Allison has painted a large “Muffin Sale” sign to display at the table. Chris wants to paint more
signs.
Allison made purple paint by mixing 3 parts red paint with 4 parts blue paint. Chris has 2 fluid
ounces of blue paint. To match Allison’s shade of purple, how much red paint should Chris mix
with his blue paint?
C The group members price the muffins at $15 per dozen. What is the price per muffin?
3 Sale Results
A The table shows results after several weekends of sales.
Pumpkin
Dozens
Made
18
Dozens
Sold
17
Blueberry
16
15
Chocolate
chip
24
24
Banana nut
14
13
Muffins
What percent of the muffins made were pumpkin muffins?
B Which type of muffin represents of the muffins made? Explain.
C What percent of the muffins that youth group members made did NOT sell? Round your answer
to the nearest percent.
D Which type of muffin was most popular? Justify your answer.
4 Answer the Question
A The treasurer of the youth group tracks the muffin sales for several weeks. Help her complete
her spreadsheet.
Muffin Sales
Pumpkin
Dozens
Made
18
Dozens
Sold
17
Blueberry
16
15
Chocolate chip
24
24
Banana
14
13
Type of Muffin
Number of Muffins
Sold
Income
Sold
Total Income
B After tallying the group members’ receipts for supplies, the treasurer has calculated that it cost
the youth group $3.50 to bake a dozen muffins. How much has it cost the group to bake all of
the muffins so far?
C To find the group’s profit, subtract cost from income. How much profit has the group earned
from muffin sales so far?
D The youth group divides the profit evenly between the 15 members. How much does each
member now have toward the cost of the trip? Did the group meet its goal?
E Ruth suggests raising the price per muffin by $0.25 in future sales, saying, “If this had been the
price from the beginning, we would have met our goal by now.” Is Ruth correct? Explain.