MSTAR Practice Worksheet

Lesson 3-9: Equivalent Ratios

Grade 6 Mathematics · Standard 6.AT.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

Which ratio is equivalent to 2:5?

A2:10
B3:6
C4:10
D5:2

Question 2Selected response · 1 point

A recipe uses 4 eggs for every 6 cups of flour. Which ratio is equivalent?

A2:3
B4:3
C6:4
D8:10

Question 3Selected response · 1 point

Which ratio is NOT equivalent to 6:9?

A2:3
B3:5
C12:18
D18:27

Question 4Selected response · 1 point

What is the simplest form of the ratio 15:25?

A1:5
B3:5
C5:3
D15:25

Question 5Selected response · 1 point

Marcus earns $45 for every 3 hours of work. How much does he earn in 8 hours?

A$90
B$105
C$120
D$135

Question 6Selected response · 1 point

Chef Montoya's dressing uses 3 spoons of oil to 4 spoons of vinegar (3:4). Which recipe card shows an EQUIVALENT ratio?

A3:8
B4:3
C6:7
D9:12

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

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

Fill in the bubble next to the one best answer.

A8
B10
C19
D62.5

Part B

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

How do cross products show that two ratios are equivalent?

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

Question 8Select all that apply

Select ALL pairs of ratios that are equivalent:

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

A2/3 and 8/12
B5/8 and 10/16
C3/4 and 4/5
D6/9 and 2/3
E7/10 and 14/21

Part C — Show Your Thinking

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

Question 9Written response · 2 points

A store sells 3 pens for $2. Another store sells 9 pens for $6. Are these equivalent ratios? If so, prove it using at least two different methods (simplifying, scaling, or cross-multiplying).

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