MSTAR Practice Worksheet

Lesson 6-9: Divide Whole Numbers by Fractions

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 6 ÷ 1/3?

A2
B3
C1/18
D18

Question 2Selected response · 1 point

What is 3 ÷ 1/5?

A3/5
B5/3
C8
D15

Question 3Selected response · 1 point

What is 10 ÷ 1/4?

A2.5
B1/40
C14
D40

Question 4Selected response · 1 point

What is 5 ÷ 1/2?

A2.5
B1/10
C7
D10

Question 5Selected response · 1 point

What is 6 ÷ 2/3?

A2/18
B4
C9
D12

Question 6Selected response · 1 point

Agent Park's 6 pounds of evidence powder fill 3/4 of a storage tub. How many pounds fill a WHOLE tub? (6 ÷ 3/4 asks how much is in one whole tub.)

A4 1/2 pounds
B8 pounds
C2 pounds
D6 3/4 pounds

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 6 ÷ 3/4?

Fill in the bubble next to the one best answer.

A2
B2/9
C4 1/2
D8

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?

AFlip the whole number instead of the divisor: 1/6 × 4/3 = 4/18 = 2/9.
B6 ÷ 3/4 asks how many 3/4s fit in 6. In fourths, 6 = 24/4, and 24 fourths hold 8 groups of 3 fourths — the same as 6 × 4/3 = 8 with the reciprocal. Check: 8 × 3/4 = 6.
CMultiply straight across without using the reciprocal: 6/1 × 3/4 = 18/4 = 4 1/2.
DDivide 6 by the numerator of the divisor and ignore the denominator: 6 ÷ 3 = 2.

Question 8Select all that apply

Select ALL statements that are true about the expression 10 ÷ 2/5.

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

AThe reciprocal of the divisor 2/5 is 5/2.
BThe expression can be rewritten as 10/1 × 5/2.
CThe quotient is 25.
DThe quotient is 4.
EThe quotient is greater than 10 because the divisor is less than 1.
FThe reciprocal of 2/5 is 2/5.

Part C — Show Your Thinking

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

Question 9Written response · 2 points

A pizza shop has 8 whole pizzas. Each serving is 2/3 of a pizza. How many servings can they make? Write and solve an equation, then explain why the answer is greater than 8.

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