Unit 3 MSTAR-Style Practice Test · Form B

Ratios & Rates · 10 questions · English only, like the real test · No timer — take the time you need.

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.

How this works: Answer every question, then press Submit & Grade. Selected-response parts grade instantly with an explanation for each; written responses go to your teacher. Your answers save on this device.

On the real MSTAR: math runs as three 40-minute sessions, in English, on a computer. Here there is no clock — practice the thinking first; the pacing comes with rehearsal.

Written responses: how should the explain-the-error questions be scored?

Instant scoring checks whether your explanation states the value and uses the reasoning the question is about. It matches words and numbers, so a right answer worded differently can score low — your teacher can always re-score it from the answer key.

16.AT.1Understand Ratios

Part A

A class has 12 sixth graders and 18 seventh graders. What is the ratio of sixth graders to the TOTAL number of students, written in simplest form?

2 : 5 2 : 3 3 : 5 12 : 18

Part B

Which statement explains why 2 : 3 is NOT the answer to Part A?

2 : 3 is the part-to-part ratio of sixth graders to seventh graders, not part-to-whole. 2 : 3 has not been simplified completely. 2 : 3 reverses the order of the quantities. 2 : 3 counts each student twice.

26.AT.2Understand Rates and Unit Rates

Part A

Booth A charges $3 for 5 games. What is the unit rate in dollars per game?

$0.30 per game $0.60 per game $1.67 per game $15.00 per game

Part B

Booth B charges $5 for 8 games. Which booth is the better deal, and why?

Booth B, because $5 buys more games than $3. Booth A, because 3 is less than 5. They are equal, because both ratios simplify to the same value. Booth A, because $0.60 per game is less than $0.625 per game.

36.AT.3aDetermine Equivalent Ratios Using Tables

Select all that apply

Select ALL statements that are true about ratio tables and equivalent ratios:

Multiplying both terms of a ratio by 3 produces an equivalent ratio. Dividing both terms by a common factor produces an equivalent ratio. Adding 5 to both terms produces an equivalent ratio. Every row of a correct ratio table simplifies to the same ratio. A ratio table can be extended in either direction, up or down.

46.AT.3aDetermine Equivalent Ratios Using Graphs

Part A

A ratio table pairs 1 hour with 45 miles, 2 hours with 90 miles, and 3 hours with 135 miles. Which ordered pair belongs on the graph of this relationship?

(4, 180) (4, 45) (4, 140) (180, 4)

Part B

What does it mean that the graph of this relationship passes through the origin (0, 0)?

When zero hours have passed, zero miles have been traveled. The graph must be a curve. The unit rate is zero. The relationship only works for whole numbers.

56.AT.3Compare Ratio Relationships

Explain the error

Jaden compared two paint sizes: a 3-gallon can for $54 and a 5-gallon can for $85. He wrote: 'The 3-gallon can is the better deal because $54 is less than $85.'

Explain Jaden's misconception and determine which can is actually the better deal.

✍️ Written response — 2 points.

66.AT.3Ratio Reasoning: Convert Measurements within the Same System

Part A

A rope measures 7 feet. Using 1 foot = 12 inches, how long is the rope in inches?

0.58 inches 7 inches 19 inches 84 inches

Part B

How do you know the answer to Part A should be a LARGER number than 7?

Converting always makes numbers larger. Multiplying always makes numbers larger. An inch is smaller than a foot, so it takes more inches to measure the same length. Feet and inches are in different systems.

76.AT.3Ratio Reasoning: Convert Measurements Between Systems

Select all that apply

Select ALL statements that are true about converting measurements between systems:

A conversion ratio connects a unit in one system to a unit in another. Converting to a smaller unit produces a larger number. Between-system conversions are often approximate. The two measurements describe different physical amounts after converting. A ratio table can organize a between-system conversion.

86.AT.2Solve Problems with Unit Rates

Explain the error

Rosa knew 8 notebooks cost $20 and wanted the cost of 14 notebooks. She wrote: '14 is 6 more than 8, so add $6: the cost is $26.'

Explain Rosa's misconception and give the correct cost.

✍️ Written response — 2 points.

96.AT.3Equivalent Ratios

Part A

Solve the proportion 4/10 = x/25 for x.

8 10 19 62.5

Part B

How do cross products show that two ratios are equivalent?

If a + d equals b + c, the ratios are equivalent. If a/b = c/d, then a × d equals b × c. Cross products work only when all four numbers are whole. Cross products compare the two numerators only.

106.AT.3cConvert Measurement Units

Select all that apply

Select ALL statements that are true about dimensional analysis:

The given measurement is written as a fraction over 1. Conversion ratios are arranged so unwanted units cancel. Only the unit that remains after cancelling appears in the answer. Units may be ignored as long as the numbers are multiplied correctly. More than one conversion ratio can be used in a single chain.

Unit 3 MSTAR-Style Practice Test — Form B