Proportions and percent, negative numbers, equations, circles and probability, sorted by the four claims of Michigan's M-STEP blueprint.
Pick an answer, then press Check answer.Then you see Correct or Not quite, with the reason.Keys: A to D pick, Enter checks.
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Unofficial practice questions, not affiliated with the Michigan Department of Education. Bank checked October 13, 2026.
The real test: M-STEP math, grade 7
Items by claim
Concepts and Procedures 19 to 20, Problem Solving 3 to 5, Communicating Reasoning 7 to 9, Modeling and Data Analysis 4 to 6. No performance task.
How it is given
Computer adaptive, in the spring.
Time
Untimed. The Spring 2026 manual estimates 2 hours for scheduling.
Calculator
Online, a scientific calculator appears in the toolbar on the items that allow it. On paper, Part 1 allows no calculator and Part 2 allows a scientific handheld
Scores
Not pass or fail. A scale score and one of four performance levels: Not Proficient, Partially Proficient, Proficient or Advanced.
Last M-STEP math grade
The M-STEP assesses mathematics in grades 3 to 7, so this is the last one.
A box holds 7 chocolate, 6 oat and 11 lemon cookies. One cookie is taken at random. What is the probability that it is an oat cookie?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.7 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
A candle burns down 5/6 inch in 1/3 hour. At that rate, how many inches does it burn down in one hour?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.1 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
A circle has a radius of 11 centimeters. What is its area, in square centimeters, in terms of π?Michigan K-12 Standards for Mathematics, grade 7, standard 7.G.4 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
A hardware store sells rope by the foot. The equation c = 0.85f gives the cost c, in dollars, of f feet of rope. What is the constant of proportionality?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.2 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
A pair of skates is priced at $80 and is marked down 35%. What is the sale price?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.3 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Show all 40 questions (35 more)
Concepts and Procedures, continued
A spinner with equal sections A, B, C and D is spun, and a number cube numbered 1 to 6 is rolled. How many outcomes are in the sample space?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.8 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
In which table is y proportional to x, with y ÷ x the same in every column?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.2 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
On a floor plan, 4 centimeters stand for 9 meters. A hallway is 10 centimeters long on the plan. How long is the real hallway?Michigan K-12 Standards for Mathematics, grade 7, standard 7.G.1 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
The probability that a spinner lands on red is 0.9. Which word best describes that event?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.5 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Solve 6(x + 3.5) = 57.Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.4 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Solve 9x − 13 = 50.Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.4 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Three of these are equal to −(3/4). Which one is not?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.2 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Two angles are complementary. One measures 37.5°. What does the other measure?Michigan K-12 Standards for Mathematics, grade 7, standard 7.G.5 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
What is (−4)(−7)(−5)?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.2 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
What is −17 + 26 + (−14)?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.1 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Which decimal is equal to 11/40?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.2 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Which expression is equal to −13 − (−21)?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.1 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Which expression is equivalent to 7(3x − 2) − 9x?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.1 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Which is a factored form of 42x − 28?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.1 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Which values of x make −2x + 9 < 23 true?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.4 (M-STEP Mathematics Blueprint, claim 1: Concepts and Procedures)
Problem Solving 5
A bike shop rents a bike for an $18 fitting fee plus $6.50 an hour. Omar paid $57 in all. For how many hours did he rent the bike?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.4 (M-STEP Mathematics Blueprint, claim 2: Problem Solving)
A box shaped like a right rectangular prism is 9 inches long, 4 inches wide and 2.5 inches high. What is its surface area?Michigan K-12 Standards for Mathematics, grade 7, standard 7.G.6 (M-STEP Mathematics Blueprint, claim 2: Problem Solving)
A dinner bill is $40. The tax is 6% of the bill, and the tip is 20% of the bill before tax. What is the total cost?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.3 (M-STEP Mathematics Blueprint, claim 2: Problem Solving)
A diver is at an elevation of −18 feet. She goes down 6.5 feet more, then rises 9 feet. What is her elevation now?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.3 (M-STEP Mathematics Blueprint, claim 2: Problem Solving)
Tia earns $12.50 an hour. She works 6 hours, then spends $18.75 of that pay on lunch and bus fare. How much of the day's pay is left?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.3 (M-STEP Mathematics Blueprint, claim 2: Problem Solving)
Communicating Reasoning 9
A graph of y against x is a straight line through (0, 3) and (2, 7). Is y proportional to x?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.2 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
A price p is raised by 8%. Which reason shows why 1.08p is the new price?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.2 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
A town wants to know how many of its households own a bike. Which sample best supports a conclusion about all the households?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.1 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
Ana rewrote −2(x − 4) as −2x − 8. What was her mistake?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.1 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
Can three sticks that are 4 cm, 5 cm and 10 cm long form a triangle?Michigan K-12 Standards for Mathematics, grade 7, standard 7.G.2 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
Kim says the sum of two negative numbers is always negative. Which statement about her claim is correct?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.1 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
Leo says a − b is always less than a. Which pair of numbers shows that he is wrong?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.1 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
The price of a shirt goes from $20 to $25. Dev says that is a 20% increase. Is he right?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.3 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
Which statement about the decimal form of 2/11 is true?Michigan K-12 Standards for Mathematics, grade 7, standard 7.NS.2 (M-STEP Mathematics Blueprint, claim 3: Communicating Reasoning)
Modeling and Data Analysis 6
A pump moves 45 liters of water every 6 minutes at a steady rate. Which equation gives the liters w pumped in m minutes?Michigan K-12 Standards for Mathematics, grade 7, standard 7.RP.2 (M-STEP Mathematics Blueprint, claim 4: Modeling and Data Analysis)
A thumbtack is tossed 200 times and lands point up 130 times. About how many times would it land point up in 500 tosses?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.6 (M-STEP Mathematics Blueprint, claim 4: Modeling and Data Analysis)
Bean plants grown in sun have a mean height of 31 cm. Bean plants grown in shade have a mean height of 22 cm. The mean absolute deviation of each group is 3 cm. The difference between the means is how many times the mean absolute deviation?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.3 (M-STEP Mathematics Blueprint, claim 4: Modeling and Data Analysis)
In a random sample of 80 trees in a park, 28 are oaks. The park has 1,500 trees. About how many of them are oaks?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.2 (M-STEP Mathematics Blueprint, claim 4: Modeling and Data Analysis)
Maya has $50. She wants to buy a $14 book and some pens that cost $4 each. Which inequality describes the number of pens p she can buy?Michigan K-12 Standards for Mathematics, grade 7, standard 7.EE.4 (M-STEP Mathematics Blueprint, claim 4: Modeling and Data Analysis)
Two bus routes were timed on randomly chosen days. Route A's times have a median of 34 minutes and an interquartile range of 4 minutes. Route B's times have a median of 34 minutes and an interquartile range of 13 minutes. Which conclusion do the data support?Michigan K-12 Standards for Mathematics, grade 7, standard 7.SP.4 (M-STEP Mathematics Blueprint, claim 4: Modeling and Data Analysis)
Forty grade 7 questions for Michigan's M-STEP mathematics test, each written for this site and worked step by step. Unofficial practice: no state sample item is used, and this site is not affiliated with the Michigan Department of Education.
Read the full guide
What grade 7 M-STEP math covers
Seventh grade is the year of proportional reasoning, and the questions lean on it: unit rates of fractions, markdowns, tax and tips, and the constant of proportionality. Signed numbers come next, added, subtracted, multiplied and divided. Then come two-step equations and inequalities, circles, angle pairs, scale drawings, random samples and probability. Every answer names its Michigan standard, such as 7.RP.3.
How the questions are split
The state blueprint gives each claim a range of items, and this page takes the top of every range: 20 on Concepts and Procedures, 5 on Problem Solving, 9 on Communicating Reasoning (judge a claim, find the slip in someone's work, pick the example that breaks a rule) and 6 on Modeling and Data Analysis.
Grade 7 is the first year with a scientific calculator, and only on some items, so practice negative numbers and fractions by hand.
Questions and answers
How many questions does the M-STEP math test have in 7th grade?
Between 33 and 40. Michigan's blueprint fixes no total, only a range for each claim: 19 to 20 for concepts and procedures, 3 to 5 for problem solving, 7 to 9 for reasoning and 4 to 6 for modeling and data.
How long does the 7th grade M-STEP math test take?
There is no time limit: students work at their own pace. Schools plan for about 2 hours, the estimate the Spring 2026 manual gives for mathematics in grades 6 and 7. For online testing it suggests two sessions of 40 to 60 minutes.
Is a calculator allowed on the M-STEP in 7th grade?
Only where an item permits it. Online, a scientific calculator shows in the toolbar for those items and is hidden for the rest. Paper booklets have two parts: no calculator in Part 1, a handheld scientific calculator in Part 2.
What is a passing M-STEP math score for 7th grade?
There is none. The state describes the M-STEP as not pass or fail: each student's scale score falls in one of four levels, from Not Proficient through Partially Proficient and Proficient to Advanced.
Do 8th graders take the M-STEP math test?
No. The Spring 2026 manual says the M-STEP tests mathematics in grades 3 to 7, so grade 7 is the last M-STEP math test. Seventh graders also take M-STEP English language arts.