MSTAR Practice Worksheet

Lesson 6-2: Division Expressions with Fractions and Mixed Numbers

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

What is the reciprocal of 3/5?

A1/3
B3/5
C5/3
D5/5

Question 2Selected response · 1 point

What is 1/2 ÷ 1/4?

A1/8
B1/2
C2
D4

Question 3Selected response · 1 point

What is 3/4 ÷ 1/8?

A3/32
B6
C8/3
D24

Question 4Selected response · 1 point

What is the first step in evaluating 2 1/2 ÷ 1/4?

ARewrite 2 1/2 as the improper fraction 5/2
BFlip 2 1/2 to 1/2 2
CDivide 2 by 1/4 and ignore the half
DAdd 2 + 1/2 + 1/4

Question 5Selected response · 1 point

What is 2/3 ÷ 1/3?

A1/2
B2
C2/9
D6

Question 6Selected response · 1 point

A recipe needs 2/3 cup of sugar. You only have a 1/6-cup scoop. How many scoops do you need?

A2 scoops
B3 scoops
C4 scoops
D6 scoops

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

What is the value of 2 1/4 ÷ 3/8?

Fill in the bubble next to the one best answer.

A1/6
B2 2/3
C6
D27/32

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 only the fraction parts, 1/4 ÷ 3/8 = 2/3, then put the whole number 2 back in front to get 2 2/3.
B2 1/4 = 18/8, and 18 eighths ÷ 3 eighths = 6 — the same as 9/4 × 8/3 = 72/12 = 6 with the reciprocal. Check: 6 × 3/8 = 18/8 = 2 1/4.
CChange 2 1/4 to 9/4, then multiply straight across without flipping: 9/4 × 3/8 = 27/32.
DChange 2 1/4 to 9/4, then flip the first fraction instead of the second: 4/9 × 3/8 = 1/6.

Question 8Written response · 2 points

Type II Reasoning: Flipping the Wrong Fraction

Marisol divided 5/6 ÷ 2/3. Her work was: 6/5 × 2/3 = 12/15 = 4/5. She wrote that the quotient is 4/5.

Explain Marisol's misconception and give the correct quotient.

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

Part C — Show Your Thinking

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

Question 9Written response · 2 points

Is 3/4 ÷ 1/2 the same as 1/2 ÷ 3/4? Solve both and explain why or why not. What does this tell you about the order in division?

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