MSTAR Practice Worksheet

Lesson 4-2: Relate Fractions, Decimals, and Percentages

Grade 6 Mathematics · Standard 6.AT.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

Convert 3/5 to a percent.

A35%
B53%
C60%
D65%

Question 2Selected response · 1 point

Convert 7/20 to a percent.

A14%
B20%
C35%
D70%

Question 3Selected response · 1 point

Which decimal is equivalent to 45%?

A0.045
B0.45
C4.5
D45.0

Question 4Selected response · 1 point

What fraction is equal to 0.75?

A3/4
B3/5
C7/5
D7/10

Question 5Selected response · 1 point

A game shows your score as 7/8 complete. What percent is that?

A75%
B78%
C87.5%
D88%

Question 6Selected response · 1 point

Your arcade scoreboard reads 0.25 of the level cleared. What percent and fraction match this score?

A2.5% and 1/4
B25% and 1/4
C25% and 1/5
D250% and 1/40

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 fraction 7/20 written as a decimal and as a percent?

Fill in the bubble next to the one best answer.

A0.035 and 3.5%
B0.35 and 35%
C0.35 and 3.5%
D0.7 and 70%

Part B

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

Which mathematical reasoning justifies the conversion in Part A?

AMultiplying both numerator and denominator by 5 yields the equivalent fraction 35/100, which equals 0.35 and 35%.
BMoving the decimal point in 7.20 one place left gives 0.72.
CAdding 15 to both terms gives 22/35, which equals 35%.
DDividing 20 by 7 gives approximately 2.85, so the percent is 35%.

Question 8Written response · 2 points

Type II Reasoning: Spot the Decimal-Percent Error

Elena wrote that 0.08 is equal to 80% because 'there is an 8 in the number.'

Explain Elena's misconception and determine the correct percent value.

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 student says 3/8 is greater than 40% because 3 and 8 are bigger numbers than 4 and 0. Is the student correct? Convert both values to the same form and explain.

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