Download Open Ended Questions

6th Grade Open-Ended Questions
Use with/after Unit 1
1. Brandon’s parents bought a big screen tv for $1,176. They plan to pay for it with 14 equal
monthly payments. How much will each payment be if a $3.50 service charge is added every
month? 6.NS.2
2. Karen has saved $15.75, $18.36, $9.07, and $20.37 to buy a camera. How much more does she
need to save to buy a camera that costs $165.45? 6.NS.3
3. Heather mailed 3 packages that cost $2.50 each. She mailed 2 additional packages that each
cost the same amount. Write a variable expression to represent this situation. Evaluate your
expression if the two packages cost $1.50 each to mail. 6.EE.3
4. The round-trip distance between Kaitlin’s house and her school is 3.2 miles. She rides her bike to
school three days per week. Write and solve an expression that can be used to find the number
of miles Kaitlin rides in a certain number of weeks. 6.EE.6
Use with/after Unit 2
1.
Out of the following questions, choose the one that you could use to conduct a class survey.
Explain why your choice is the best statistical question.
a. Do you feel sixth graders should do 2 hours of each night instead of watching tv?
b. How many minutes of television do you watch each day?
c. How old am I? 6.SP.1
2. Given the following data, find the mean and median of enrolled tribal members living on or near
their respective reservations. 6.SP.2
Reservation Populations
Blackfeet Reservation
Enrolled members living on or near the Blackfeet Reservation 8,485
Enrolled members living off the Blackfeet Reservation 6,633
Total number of enrolled Tribal members 15,118
Crow Reservation
Tribal members living on or near the Crow Reservation 7,153
Enrolled members living off the Crow Reservation 3,180
Total number of enrolled Tribal members 10,333
Flathead Reservation
Enrolled members living on or near the Flathead Reservation 4,244
Enrolled members living off the Flathead Reservation 2,717
Total number of enrolled Tribal members 6,961
Fort Belknap Reservation
Enrolled members living on or near the Fort Belknap Reservation 5,771
Enrolled members living off the Fort Belknap Reservation 1,532
Total number of enrolled tribal members 7,303
Northern Cheyenne Reservation
Enrolled members living on or Near the Northern Cheyenne Reservation 4,199
Enrolled members living off the Northern Cheyenne Reservation 3,175
Total number of enrolled tribal members (approximate) 7,374
3. Explain why the mean of a set of data is sometimes a number not in the set of data. For
example, Bailey has received scores of 98, 76, 87, 98, and 80 so far this year on math tests. The
mean of her test score is 87.8%. 6.SP.3
4. A survey asked people how many pieces of fruit they eat in a week.
Pieces of Fruit Eaten in a Week
3
1
5
5
2
9
4
1
2
6
9
2
7
5
4
a. Make a dot plot (line plot) for the data.
b. Use the dot plot to create a histogram with 3 intervals. 6.SP.4
4
7
3
5
4
5
5. Suzie has four 20-point projects for math class. Suzie’s scores on the first 3 projects are shown
below.
Project 1 18
Project 2 15
Project 3 16
Project 4 ??
What does she need to score on Project 4 so that the average for the four projects is 17? Explain
your reasoning. 6.SP.5
Use with/after Unit 3
1. If one serving of yogurt is equal to 3/4 of a cup, how many servings are there in 2/3 of a cup of
yogurt? Show your answer in pictures, numbers, and words. 6.NS.1
2. Mr. O’Conner and Mrs. Sweeny donated a total of 90 hot dogs and 72 bags of chips for the 6th
grade graduation barbeque. Each student will receive the same amount of food. All food must
be consumed.
a. What is the greatest number of students that can attend the picnic?
b. How many bags of chips will each student receive?
c. How many hot dogs will each student receive? 6.NS.4
Use with/after Unit 4
1. Claire is working on her reading assignment for school. On Monday she read three pages. Then
on each day after the first day, she read triple the amount than the previous day. Show a
numerical expression using an exponent to represent the number of pages read. Evaluate this
expression. 6.EE.1
2. Write an example of an expression. Explain how to evaluate an algebraic expression when you
know the value of each variable. 6.EE.2
3. Are the following expressions equivalent? Explain your answer.
a. 4z + 8
b. 4(z + 2)
c. 4z + 8 + z
d. 2 + 2z + z + 6 + z 6.EE.4
4. Describe the steps you would use to solve the equation 6m=54. 6.EE.5
5. How would you solve x + 12 = 48? 6.EE.7
6. A certain fishing line is sold for weights up to and including 12 lb. Write an inequality that
represents the weights that will not break the line. 6.EE.8
7. Mathematician Evelyn Boyd Granville has needed formulas throughout her career. When the
United States space program was brand new, Dr. Granville worked on Project Mercury and
Project Apollo, calculating orbits and programming computers. She has also worked with
students from kindergarten through college.
 The distance to the moon is approximately 239,000
miles. Suppose a space craft took 6 days to reach the moon. What was
its average speed in miles per hour? 6.EE.9
Use with/after Unit 6
1. At Barnes & Noble, 3 paperback books cost $18. What would 7 books cost? How many books
could be purchased with $54? Hint: set up a table or write an equation in order to help you
solve this problem. 6.RP.3
2. When triangular flaps are raised on opposite sides of the square table shown, it has the shape of
a parallelogram. The base of each triangle is 2 feet. What is the area of the tabletop? Explain
your solution. 6.G.1
2 ft
2 ft
4 ft
Use with/after Unit 7
1. A right rectangular prism has edges of 1 ¼“, 1“, and 1 ½“. How many cubes with side lengths of
¼” would be needed to fill the prism? What is the volume of the prism? 6.G.2
2. On a map, the library is located at (-2, 2). The Civic Center is located at (0, 2), and the high school
is located at (0, 0). Represent the locations as points on a coordinate grid with a unit of 1 mile.
a. What is the distance from the library to the Civic Center?
b. What is the distance from the Civic Center to the high school? How do you know?
c. When you connect the three locations, what shape is formed? The city council is
planning to place a city park in this area. How large is the area of the planned park?
6.G.3
3. Tamara is painting a room that is 12 feet wide, 10 feet long, and has a height of 10 feet. She will
not paint the ceiling or the floor. Use the dimensions to draw a net of the room. What is the
total surface area she is painting? 6.G.4
Use with/after Unit 8
1. There are 10 athletes on a co-ed soccer team. 4 are girls. What is the ratio of girls to all of the
athletes? What is ratio of boys to girls? 6.RP.1
2. Tell which is the better buy: 14 ounces of cereal at $2.52 or 20 ounces of cereal at $3.20. 6.RP.2
3. At Barnes & Noble, 3 paperback books cost $18. What would 7 books cost? How many books
could be purchased with $54? Hint: set up a table or write an equation in order to help you
solve this problem. 6.RP.3
Use with/after Unit 9
1. If one serving of yogurt is equal to 3/4 of a cup, how many servings are there in 2/3 of a cup of
yogurt? Show your answer in pictures, numbers, and words. 6.NS.1
2.
a. Use an integer to represent 52 feet above sea level.
b. Use an integer to represent 52 feet below sea level.
c. What would 0 (zero) represent in the above scenario? 6.NS.5
3. When you write an integer, what does the + or – sign tell you about where the integer is on a
number line? 6.NS.6
4. Write a statement to compare -4½ and -2. Explain your answer. 6.NS.7
5. Describe how to graph the ordered pairs A (3, -1) and B (-8, -1) on a coordinate plane. Name the
quadrants the points are in. Find the distance from point A to point B. 6.NS.8