MSTAR Practice Worksheet

Lesson 4-5: Determine the Whole Given the Part and Percent

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

$20 is 50% of what number?

A$10
B$25
C$40
D$70

Question 2Selected response · 1 point

Which equation says "30 is 25% of some number n"?

A0.25n = 30
Bn = 0.25 × 30
C25n = 30
Dn = 30 + 25

Question 3Selected response · 1 point

$42 is 60% of the original price. Should the original price be more or less than $42?

AMore, because 60% is less than the whole
BLess, because 60 is a big number
CExactly $42
DYou cannot tell

Question 4Selected response · 1 point

75 minutes is 15% of the school day. How long is the school day?

A11.25 minutes
B90 minutes
C500 minutes
D1,125 minutes

Question 5Selected response · 1 point

Which statement correctly names the pieces of "18 students is 30% of the class"?

A18 is the whole, 30% is the part
B30 is the part, 18 is the percent
CThe class size is the part
D18 is the part, 30% is the percent, the class size is the whole

Question 6Selected response · 1 point

18 students are 30% of an after-school group. How many students are in the whole group?

A6
B30
C60
D180

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

Marcus completed 18 math problems, which represents exactly 60% of his homework assignment. How many total problems are on the assignment?

Fill in the bubble next to the one best answer.

A24 problems
B28 problems
C30 problems
D36 problems

Part B

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

Which equation and reasoning justifies the solution in Part A?

AMultiply 18 by 0.60: 18 × 0.60 = 10.8.
BAdd 18 and 60: 18 + 60 = 78.
CSince 60% of the whole equals 18, divide the part by the rate: 18 ÷ 0.60 = 30.
DDivide 60 by 18: 60 ÷ 18 = 3.33.

Question 8Select all that apply

A theater is at 80% capacity with 240 seats occupied. Select ALL statements that are mathematically true regarding this situation:

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

AThe total seating capacity of the theater is 300 seats (240 ÷ 0.80 = 300).
BThere are 60 empty seats in the theater (300 - 240 = 60).
C10% of the theater capacity is 30 seats (300 ÷ 10 = 30).
DThe total capacity is 192 seats (240 × 0.80 = 192).
EA tape diagram with 5 equal units of 60 seats represents the 300 total seats (4 units = 240 = 80%).

Part C — Show Your Thinking

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

Question 9Written response · 2 points

A toy store's puzzle stock was 25% 300-piece, 15% 500-piece, and the rest 1,000-piece. During a sale the store sold ALL of its 300-piece and 500-piece puzzles — 120 puzzles in total. How many of each type did the store have before the sale? Explain your reasoning.

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