Benchmark (Grade 6) Assessments for MN Standards/Frameworks
GRADE 6 NUMBER & OPERATION BENCHMARK ASSESSMENT QUESTIONS
Benchmark: 6.1.1.1
1. Find the value of x. (Depth of Knowledge-DOK: Level 1)
2. Place the ordered pairs on the coordinate grid shown below. (DOK: Level 1)
A = (9, 0)
B = (2, 6)
C = (8, 5)
D = (0, 7)
3. Place each of the numbers on the number line shown below. (DOK: Level 2)
A = 1¼
B = 0.7
C = 2.3
D= ⅔
Benchmark: 6.1.1.2
1. Tell whether the following statements are true or false.(DOK: Level 2)
____ a. 3/5
____ b. 0
0 6
3 = 0 33
____ c. 2/3
2/5
____ d. 5 4
5/4
____ e. 5/2
25
2. Marta and Jeff each ordered pizzas - the same size pizza. Marta cut her pizza into 6
pieces, and ate 3 pieces. Jeff cut his pizza into 7 pieces and also ate 3 pieces. Who ate
more pizza? Explain how you know. (DOK: Level 3)
3. Reaching the Goal: The goal of a community fundraiser was to earn $10,000. The
picture below shows the results after one week. What part of the goal was reached after
one week? Express your answer as a fraction, decimal, and percent. Explain how you
found your answers. (DOK: Level 3)
4. A) Identify three numbers between 0.5 and 0.6. Express one as a decimal, one as a
fraction, and one as a percent. (DOK: level 4)
B)
Locate and label the numbers on the number line shown below.
C)
Write an expression using < to show their relationship.
D)
Tell how you could make the smallest number equivalent to the largest number.
Benchmark: 6.1.1.3
1. What percent of the figure is shaded red? (DOK: Level 1)
Benchmark: 6.1.1.4
2. Write 8 ⅓ as a decimal. (DOK Level 1)
3. A baseball player's batting average is 0.625. Write this batting average as a fraction.
(DOK Level 2)
4. A 200-pound man lost 10 pounds. Which of the following represents the portion of body
weight lost? (DOK Level 2)
a. 0.10
b. 1/200
c. 5%
d. 1/10
5. Ernest got a box of chocolates for his birthday. He has eaten 6 of the 20 pieces. What
percent has he eaten? (Level 2)
6. Samantha had 300 beads: 30% were black
25% were red
15% were white
The rest of the beads were blue. How many beads were blue? (Level 3)
A. 25
B. 65
C. 90
D. 130
7. A sixth grade class was surveyed to find out whether like ice cream or cake better. The
survey results are shown in the table below. Use the table to answer the following
questions. (Level 4)
a) What fraction of the boys like cake better?
b) What percent of total students like cake better?
c) How does the fraction of boys that like cake better compare to the percent of total students
that like cake better? Explain how you know.
Benchmark: 6.1.1.5
1. Which expression represents the prime factorization of 96? (Level 1)
a) 22 x 33
b) 23 x 32
c) 25 x 3
d) 25 x 32
2. Write the prime factorization of 108. Use exponents to show repeated factors. (Level 2)
Benchmark: 6.1.1.6
1. Which is the greatest common factor of 4 and 15? (Level 2)
a) 60
b) 30
c) 4
d) 1
2. Boxes that are 24 inches tall are being stacked next to boxes that are 18 inches tall. What
is the shortest height at which the two stacks will be the same height? (Level 2)
3. Brigette has guitar lessons every fifth day and singing lessons every third day. If she had
a guitar lesson and a singing lesson on May 5, when will be the next date on which she
has both guitar and singing lessons? (Level 3)
4. Which is the least common denominator that can be used to add 5/8 and 5/14? (Level 3)
5. Name two numbers whose GCF is 60 and LCM is 600. (Level 4)
Benchmark: 6.1.2.1
1. Ashley bought a twelve pack of juice boxes for $3.84. How much did one juice box
cost? (Level 1)
a. 0.32
b. $0.40
c. $3.20
d. $4.00
Benchmark: 6.1.2.2
2. A map uses 8 cm to represent 28 miles. How many cm would be used to represent 70
miles? (Level 1)
3. Sam read 60 pages of his novel in 100 minutes. How many pages of his novel can Sam
expect to read in 45 minutes if he reads at the same rate? (Level 2)
Benchmark: 6.1.2.3
1. Jeremy travels 60 miles in 3 hours. What is his rate in miles per hour? (Level 1)
2. Maxwell can run at a rate of 4 mph. How long will it take to run 22 miles? (Level 2)
Benchmark: 6.1.2.4
1. Ashley biked 32 miles in 2 hours. Mike biked 12 miles in 1 hour. How much farther can
Ashley bike than Mike in 5 hours if they both continue at the same rate? (Level 2)
a. 16 miles
b. 20 miles
c. 24 miles
d. 28 miles
2. A drink recipe calls for 1 part lemonade, 3 parts orange juice, and 4 parts water. How
much lemonade, orange juice, and water are needed to make 64 fluid ounces of the drink
using the recipe? Explain how you found your answer. (Level 3)
3. A photo measuring 4 inches wide by 6 inches long needs to be enlarged to be 8 inches
wide, using the same ratio for the dimensions. (Level 3)
Carlos says that the new dimensions will be 8 inches wide by 10 inches long. Devon says
the new dimensions will be 8 inches wide by 12 inches long. Which student is correct?
Explain how you know.
4. Your school plans to install a new flagpole that is a minimum of 20 feet high. When
flown on a flagpole, it is suggested that the width of the American flag is ¼ the height of
the flagpole. The standard ratio for width: length of the American flag is 10:19. Your task
is to recommend a flagpole height and flag dimensions. Justify that your
recommendations meet the requirements. (Level 4)
Benchmark: 6.1.3.1
1. Multiply: 0.14 x 1.6 (Level 1)
a) 2.240
b) 0.224
2. Divide: 3½
⅓ = _____
c) 0.0224
d) 0.00224
(Level 1)
Benchmark: 6.1.3.2
1. The highest mountain on the moon is Mount Huygens. It is about 5.5 kilometers in
height. Mount Everest, the highest mountain on earth, is about 8.8 kilometers in height.
How many times taller Mount Everest than Mount Huygens? (Level 2)
a. 4.84 times
b. 3.3 times
c. 1.6 times
d. 0.625 times
2. Andy wants to buy 3⅓ cups of cashews. There are 5/6 cup of cashews in each package.
How many packages of cashews should Francis buy? (Level 2)
3. Describe and correct the error in the solution. Explain your reasoning. (Level 3)
4. Create a model to prove that 2½
½ = 5. (Level 4)
Benchmark: 6.1.3.3
1. Find 80% of 45. _____ (Level 1)
2. A student correctly answered 15 out of 20 questions correct on a math quiz. What percent
of the questions were answered correctly? (Level 1)
a) 15%
b) 60%
c) 75%
d) 95%
3. A pair of running shoes is on sale for 25% off the original price. (Level 2)
Which price is closest to the sale price of the running shoes?
a) $93
b) $99
c) $124
d) $1
4. You went to the mall with $80 and spent $52. What percent was not spent? ___ (Level 2)
5. Ashley plans to purchase an item that costs $20 before tax is added. Minnesota's tax rate
is 6.5%. What will Ashley's total cost for the item be, including sales tax? Explain how
you found your answer. (Level 3)
6.
Brigette's ice cream cone contains 16 grams of saturated fat. This is 80% of her total
daily allowance. What is Brigette's total daily allowance of saturated fat in grams?
Explain how you found your answer. (Level 4)
Benchmark: 6.1.3.4
1. 1.
Use the formula A =
a) 44 cm2
b) 88 cm2
r2 to find the area of the circle. (Use 22/7 for
c) 616 cm2
). (Level 1)
d) 2464 cm2
2. What is the circumference of the hockey puck? (Use 3.14 for
3. Gina has $48. She spent ¼ of the money on a CD, and
dollars did she spend? (Level 2)
.) (Level 1)
⅜ on a sweatshirt. How many
4. Bailey feeds dogs for the Humane Society. Each dog gets 41 pound of food per day. How
many dogs can Bailey feed with 5⅔ pounds of food? (Level 2)
a) 23 dogs
b) 22 dogs
c) 21 dogs
d) 20 dogs
5. A circular sinkhole has a radius of 12 meters. A week later, it has a diameter of 48
meters. How much greater is the circumference of the sinkhole compared to the previous
week? (Use 3.14 for .) (Level 3)
6. The figure is made up of a semicircle and a square. Find the perimeter. Use 3.14 for
Explain how you found your answer.
GRADE 6 ALGEBRA BENCHMARK ASSESSMENT QUESTIONS
Benchmark 6.2.1.1
.
1. The cost C in dollars of a monthly phone plan can be found using the equation C = 19.99
+ 0.15x, where x represents the number of text messages sent. Use the equation to find
the cost of sending 78 text messages in one month. (Level 1)
Benchmark 6.2.1.2
1. Complete the table by using the rule y = x - 2.3. (Level 1)
2. Which is the rule for the graph shown below? (Level 2)
a. y = 2x
b. y = 2x - 1
c. y = x + 1
d. y = x + 2
3. Use the equation d = 50t, where d represents distance in miles and t represents time in
hours, to make a table showing distance traveled in 1, 2, 3, or 4 hours.(Level 2)
Time (hours)
Distance (miles)
4. Write the rule for the table shown below. (Level 3)
5. The perimeter P of a square can be found using the formula P = 4s, where s represents
the length of one side. Describe how the perimeter of a square changes when the length
of one side is decreased by 3.
Benchmark 6.2.2.1
1. Evaluate ⅔ x + ½ for x = ¾ ________
(Level 1)
2. Tell which property is illustrated by each statement.(Level 2)
a) 2.1·(m + 3)
b) 2.1·(m·3)
= (m + 3)· 2.1 __________________________
= (2.1·m)·3 ___________________________
c) 2.1·(m + 3) = 2.1m +
2.1·3 _____________________________
3. Use the indicated property to complete each statement. (Level 2)
4. Simplify: 5m + 12 + 3(m + 2) = ________________ (Level 2)
5. Draw models for 2y + 4 and 2(y + 4). Explain how they are different.(Level 3)
6. Sam says that 5m + 12 + 3(m + 2) is equivalent to 8m + 18. Prove Sam's statement by
using the commutative, associative, and distributive properties. Identify each property
used. (Level 4)
GRADE 6 GEOMETRY BENCHMARK ASSESSMENT QUESTIONS
Benchmark: 6.3.1.1
1. Find the volume of the rectangular prism shown below. (Level 1)
a) 16 ft3
b) 24 ft3
c) 144 ft3
d) 288 ft3
2. Find the volume and surface area of the triangular prism that can be formed from the net
shown below. Justify your answers. (Level 4)
Benchmark 6.3.1.2
1. Find the area of the trapezoid shown below. (Level 1)
2. How much material is needed to make the kite shown below? (Level 2)
Benchmark: 6.3.1.3
1. Use the drawing below to answer the following questions.
A. Which of the following is the best estimate of the perimeter of the "x" shown? (Level 2)
a. 30 units
b. 45 units
c. 60 units
d. 75 units
B. Which of the following is the best estimate of the area of "x" shown?
a. 90 square units
b. 115 square units
c. 140 square units
d. 165 square units
Benchmark: 6.3.2.1
1. Find m∠4 in the rectangle below. (Level 1)
2. Which angle is supplementary to 42°? (Level 2)
a. 42°
b. 48°
c. 90°
3. Find m∠A in the drawing below. (Level 2)
a. 20°
b. 26°
c. 46°
d. 134°
4. Use the X below to answer the following questions. (Level 2)
m∠1 = ____________
m∠2 = ____________
m∠3 = ____________
d. 138°
Benchmark 6.3.2.3
1. Find the missing angle measure. Justify your answer. (Level 3)
Benchmark: 6.3.3.1
1. Last week, Harry walked his dog 4 days at a nearby park. Each day they walked on a trail
2,400 meters long. How many kilometers did they walk at the park last week? (Level 1)
a. 9,600 kilometers
b. 960 kilometers
c. 96 kilometers
d. 9.6 kilometers
2. The pilot of a passenger jet announced that their cruising altitude was approximately
31,750 feet. About how many miles above the ground is the plane? Explain your
reasoning. (Level 2)
3. A delivery truck brought several bags of concrete mix to a home improvement store. In
all, 10.8 tons of concrete mix were delivered. If each bag of concrete mix weighed 60
pounds, about how many bags did the truck deliver? (Level 2)
a. 556 bags
b. 360 bags
c. 270 bags
d. 180 bags
4. The perimeter of a rectangular garden is 0.72 km. The length of the garden is 160 meters.
What is the width of the garden? (Level 3)
Benchmark: 6.3.3.2
1. Figure out which number goes in which place, using reasonable estimates.
A man weighs _____ kg. This is _____ times the amount he weighed at birth.
He drives his car _____ miles in one hour. This is _____ times the distance he walks in
one hour. (Level 3)
15
22
60
88
2. Mike uses a pedometer to keep track of how many steps he takes each day. He plans to
hike 8 miles next Saturday. Predict how many steps Mike's pedometer will show from
hiking 8 miles. Explain your reasoning. (Level 4)
GRADE 6 DATA ANALYSIS BENCHMARK ASSESSMENT QUESTIONS
Benchmark: 6.4.1.1
1. The tree diagram below shows all of the outfits Jay can choose to wear today. An outfit
has one color of shirt, one color of pants and one color of shoes. (Level 1)
What is the total number of possible outcomes with a white shirt?
a. 9
b. 6
c. 3
d. 1
2. A baseball team has 4 pitchers and 3 catchers. How many pitcher-catcher combinations
does the team have? (Level 2)
3. List all the possible two-digit numbers that can be made using each of the digits 1, 2, 3
and 4 exactly once. (Level 2)
4. Ellen is ordering a new mountain bike. She must choose 1 option from each column in
the table shown below. (Level 2)
a. Show all possible ways Ellen can order her new mountain bike. You may use a
tree diagram or an organized list.
b. What is the total number of ways Ellen can order a bike with a front suspension?
Show or explain how you got your answer.
5. A player will spin each pointer one time while playing a game. (Level 3)
a.
List all possible outcomes of one color and one letter.
b.
Explain why all of the possible outcomes are not equally likely.
6. Use the chart below to create a menu for a movie theatre that results in 72 possible
combinations of popcorn, drink, and snack. (Level 4)
Benchmark: 6.4.1.2
1. Josh put 20 tiles, numbered 1 through 20, into a bag. If Josh reaches into the bag and
takes out a tile without looking, what is the probability that he will take out a tile with a
number greater than 15? (Level 1)
2. Susan has a box that contains 4 yellow, 8 green, 10 orange, and 3 red markers. Susan
randomly selects a marker from the box. What is the probability that she does not select
a yellow or orange marker? (Level 2)
A. 0.11
B. 0.14
C. 0.44
D. 0.56
3. In a survey, 20 students were asked their favorite breakfast food. The table below shows
the results. Use the table to answer the following questions. (Level 2)
a.
b.
c.
What is the probability that a student likes bagels?
About how many students out of 100 would you expect to like bagels?
Predict how many students out of 500 would like muffins.
Benchmark 6.4.1.3
1. Draw a spinner where the probability of spinning blue is 1/6, and spinning red is 50%.
(Level 2)
Benchmark 6.4.1.4
1. Suppose you perform an experiment 50 times and a friend performs the same experiment
500 times. Whose experimental probability would you expect to be closer to the
theoretical probability? Justify your answer. (Level 1)
2. A single trial of an experiment consists of flipping a coin three times. Suppose you
perform the experiment 100 times. About how many times would you expect to get HHH
or TTT? Show or explain your reasoning. (Level 3)
3. Jorge, Greta, and Owen each performed 30 trials of an experiment using the spinner
shown below. Jorge's relative frequency for spinning red was 1/3 Greta's relative
frequency for spinning red was 2/5 . Owen's relative frequency for spinning red was 1/10.
(Level 4)
Complete the table below to show one possibility for the experimental results.