MSTAR Practice Worksheet

Lesson 2-7: Divide Decimals Using an Algorithm

Grade 6 Mathematics · Standard 6.NOS.3

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 14.4 ÷ 1.2?

A0.12
B1.2
C12
D120

Question 2Selected response · 1 point

What is 3.78 ÷ 0.6?

A0.063
B0.63
C6.3
D63

Question 3Selected response · 1 point

What is 8.4 ÷ 0.7?

A0.12
B1.2
C12
D120

Question 4Selected response · 1 point

What is 15.6 ÷ 1.3?

A1.2
B12
C13
D120

Question 5Selected response · 1 point

A water tank holds 19.2 liters. It is poured into bottles that each hold 1.6 liters. How many bottles can be filled?

A1.2 bottles
B11 bottles
C12 bottles
D13 bottles

Question 6Selected response · 1 point

What is 4.8 ÷ 0.6?

A0.8
B4.2
C8
D80

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

Find 18.9 ÷ 6.3 using the decimal division algorithm.

Fill in the bubble next to the one best answer.

A0.3
B2.8
C3
D30

Part B

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

Why does sliding BOTH decimal points the same number of places leave the quotient unchanged?

AThe decimal point does not affect division.
BOnly the divisor matters in a division problem.
CThe quotient always doubles when you slide a point.
DMultiplying the dividend and the divisor by the same power of ten produces an equivalent division.

Question 8Written response · 2 points

Type II Reasoning: Moving Only One Point

Bianca computed 7.5 ÷ 0.5. She slid the divisor's point to make it 5, but left the dividend as 7.5, and wrote '7.5 ÷ 5 = 1.5.'

Explain Bianca'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

A gas station sells fuel at $3.45 per gallon. A customer pays $27.60 total. How many gallons did the customer buy? Set up the decimal division, show how to convert it to whole-number division, and solve.

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