MSTAR Practice Worksheet

Lesson 6-7: Find Factors and Multiples

Grade 6 Mathematics · Standard 6.NOS.4

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

Which list shows all the factors of 12?

A1, 2, 3, 4, 6, 12
B1, 12
C2, 3, 4, 6
D12, 24, 36, 48

Question 2Selected response · 1 point

Which list shows the first four multiples of 8?

A1, 2, 4, 8
B2, 4, 6, 8
C8, 16, 24, 32
D8, 9, 10, 11

Question 3Selected response · 1 point

What is the greatest common factor of 12 and 18?

Question 4Selected response · 1 point

What is the least common multiple of 4 and 6?

Question 5Selected response · 1 point

Using prime factors, 48 = 2 × 2 × 2 × 2 × 3 and 36 = 2 × 2 × 3 × 3. What is their GCF?

A2, the only prime they share
B6, from one 2 and one 3
C12, from the shared 2 × 2 × 3
D144, from multiplying all the primes

Question 6Selected response · 1 point

Ayasha has painting every 8 weeks and pottery every 6 weeks, both this week. When do they next fall in the same week?

AIn 2 weeks
BIn 14 weeks
CIn 24 weeks
DIn 48 weeks

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 greatest common factor of 18 and 24?

Fill in the bubble next to the one best answer.

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?

AList the factors of each number, find the ones they share, which are 1, 2, 3, and 6, and take the largest shared factor, 6.
BStop at the first prime that divides both numbers, which is 3.
CFind the smallest multiple that 18 and 24 share, which is 72, and use it as the greatest common factor.
DBoth 18 and 24 are even numbers, so the greatest shared factor is 2.

Question 8Select all that apply

Select ALL statements that are true about the numbers 12 and 20.

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

A6 is a factor of 12.
BThe greatest common factor of 12 and 20 is 4.
CThe least common multiple of 12 and 20 is 60.
DThe greatest common factor of 12 and 20 is 60.
E40 is a multiple of 20.
F5 is a factor of 12.

Part C — Show Your Thinking

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

Question 9Written response · 2 points

Reginald is having hot dogs for 24 guests and wants the same number of hot dogs and buns, with none left over. Hot dogs come in packs of 10 and buns in packs of 8. How many packs of each should he buy, and how many will he have? Explain which tool you used and why.

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