MSTAR Practice Worksheet

Lesson 3-4: Determine Equivalent Ratios Using Graphs

Grade 6 Mathematics · Standard 6.AT.3a

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

A ratio table shows (2, 6), (4, 12), and (6, 18). Which ordered pair comes next if the pattern continues?

A(7, 20)
B(8, 24)
C(8, 22)
D(10, 24)

Question 2Selected response · 1 point

When you graph equivalent ratios, the points will always form what shape?

AA curved line
BA straight line through the origin
CA zigzag
DA circle

Question 3Selected response · 1 point

A ratio table shows (2, 8), (3, 12), and (5, 20). What is the y-value when x = 7?

Question 4Selected response · 1 point

Which point would NOT be on the graph of the ratio 1:5?

A(2, 10)
B(3, 10)
C(4, 20)
D(5, 25)

Question 5Selected response · 1 point

Points from a ratio table are plotted at (1, 4), (2, 8), and (3, 12). What is the ratio of y to x for each point?

A1:4
B2:8
C3:4
D4:1

Question 6Selected response · 1 point

Two students graph ratio tables. Student A plots (1,2), (2,4), (3,6). Student B plots (1,3), (2,6), (3,9). Whose line is steeper?

AStudent A
BSame steepness
CCannot tell
DStudent B

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

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?

Fill in the bubble next to the one best answer.

A(4, 180)
B(4, 45)
C(4, 140)
D(180, 4)

Part B

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

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

AWhen zero hours have passed, zero miles have been traveled.
BThe graph must be a curve.
CThe unit rate is zero.
DThe relationship only works for whole numbers.

Question 8Select all that apply

Select ALL statements that are true about graphing equivalent ratios:

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

AThe points of a proportional relationship lie on a straight line.
BThe line passes through the origin (0, 0).
CEach ordered pair comes from a row of the ratio table.
DThe points form a curve that bends upward.
EThe unit rate can be read as the y-value when x = 1.

Part C — Show Your Thinking

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

Question 9Written response · 2 points

A student plots the points (1, 3), (2, 6), (3, 9), and (4, 15) from a ratio table. She says they form a straight line because they go up. Is she correct? Explain how to check.

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