MSTAR Practice Worksheet

Lesson 6-11: Fraction Division Problem Solving

Grade 6 Mathematics · Standard 6.NOS.1

Name: Date:

These are MSTAR-style questions written for this curriculum to rehearse the format. They are not official Maryland assessment items. MSTAR — Maryland's new state test, first given in spring 2027 — uses the same kinds of questions you see here: selected response, select-all, two-part evidence questions, and written responses.

Part A — Skills Check

Warm up with the lesson's core skills — one best answer each.

Question 1Selected response · 1 point

A ribbon is 4/5 of a yard long. Each bow uses 1/10 of a yard. Which equation finds how many bows can be made?

A1/10 ÷ 4/5
B4/5 ÷ 1/10
C4/5 × 1/10
D4/5 + 1/10

Question 2Selected response · 1 point

A detective has 1/2 gallon of solution. Each test uses 1/8 gallon. How many tests can be run?

A1/16
B1/4
C4
D16

Question 3Selected response · 1 point

A trail is 3/4 mile long. A jogger runs laps of 1/4 mile each. How many laps does the jogger complete?

A1/3 lap
B3 laps
C3/16 lap
D4 laps

Question 4Selected response · 1 point

A board is 5/6 foot long. Each shelf bracket needs 1/6 foot. How many brackets fit?

A1/36
B5
C5/36
D6

Question 5Selected response · 1 point

Marcus solved 2/3 ÷ 1/4 and got 8/3 = 2 2/3. He says 'That can't be right because I started with less than 1.' Is Marcus's math correct? Is his reasoning correct?

AHis math and reasoning are both correct — the answer should be less than 1
BHis math is wrong — the answer should be 1/6
CHis math is correct (2 2/3), but his reasoning is wrong — dividing by a small fraction gives a larger result
DHis math is wrong — the answer should be 8/12

Question 6Selected response · 1 point

Agent Torres poured 3/4 gallon of fingerprint dust into a jar, and that filled 1/2 of the jar. How much dust fills the WHOLE jar? (3/4 ÷ 1/2 asks how much is in one whole jar.)

A3/8 gallon
B2/3 gallon
C1 1/2 gallons
D1 1/4 gallons

Part B — Test-Format Questions

These match the state test's formats: two-part questions, select-all, and written responses.

Question 7Two-part question

Part A

A ribbon is 4 1/2 feet long. Marta cuts the whole ribbon into pieces that are each 3/4 foot long. How many pieces does she get?

Fill in the bubble next to the one best answer.

A1/6 of a piece
B3 3/8 pieces
C5 1/4 pieces
D6 pieces

Part B

Answer Part A before Part B — Part B asks about your reasoning.

Which reasoning shows why your answer to Part A is correct?

ADivide the size of each piece by the total length: 3/4 ÷ 9/2 = 3/4 × 2/9 = 6/36 = 1/6.
BAdd the total length and the size of each piece: 4 1/2 + 3/4 = 5 1/4.
CThe total amount is the dividend and the size of each group is the divisor, so total ÷ size = number of groups: 9/2 ÷ 3/4 = 9/2 × 4/3 = 36/6 = 6. Check: 6 pieces × 3/4 foot = 18/4 = 4 1/2 feet.
DMultiply the total length by the size of each piece: 9/2 × 3/4 = 27/8 = 3 3/8.

Question 8Select all that apply

A jug holds 3/4 gallon of juice. Each cup holds 1/8 gallon. Select ALL statements that correctly describe this situation.

Mark the box next to EVERY answer that is true. More than one is correct.

AThe dividend is 3/4 gallon, the total amount of juice in the jug.
BThe divisor is 1/8 gallon, the size of one group.
CThe equation that models the situation is 3/4 ÷ 1/8.
DThe jug fills 6 cups.
EThe answer is 3/32 gallon.
FThe answer must be less than 1 because both numbers in the problem are less than 1.

Part C — Show Your Thinking

Answer in writing, the way the state test's constructed responses work.

Question 9Written response · 2 points

Write your own fraction division word problem where the answer is 8. Then show the equation, solve it step by step, and explain how you know your answer is reasonable.

Write your answer in complete sentences. Show or explain your mathematical thinking.