100+ Free Montana MAST Grade 7 Mathematics Practice Questions

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Key Facts: Montana MAST Grade 7 Mathematics Exam

Montana Office of Public Instruction (OPI)

State Agency

Montana MontCAS Program

Level 3 (Proficient) or Level 4 (Advanced)

Target Benchmark

MAST Performance Level Descriptors

100 Practice Questions

Question Count

Montana Grade 7 Math MCQ Study Bank

Montana Content Standards for Mathematics Grade 7 (7.RP, 7.NS, 7.EE, 7.G, 7.SP)

Standards Alignment

Montana Content Standards (CCSS-M)

Master Montana Content Standards Grade 7 Mathematics for MAST with 100 realistic practice questions spanning unit rates with fractions, percent increase/decrease, operations with rational numbers, solving equations of the form px+q=r and p(x+q)=r, area & circumference of circles, surface area & volume, and compound probability.

Sample Montana MAST Grade 7 Mathematics Practice Questions

Try these sample questions to test your Montana MAST Grade 7 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe uses 3/4 cup of sugar for every 1/2 cup of butter. What is the unit rate of cups of sugar per cup of butter?

A.1.5

B.0.5

C.2

D.1.25

Explanation: Unit rate is sugar divided by butter: (3/4) ÷ (1/2) = (3/4) × 2 = 6/4 = 1.5 cups of sugar per cup of butter.

2A runner completes 7/2 miles in 1/4 hour. What is the unit rate in miles per hour?

A.14

B.7

C.28

D.3.5

Explanation: Divide distance by time: (7/2) ÷ (1/4) = (7/2) × 4 = 28/2 = 14 miles per hour.

3A class has 12 girls and 16 boys. What is the ratio of girls to total students in simplest form?

A.3:7

B.3:4

C.12:16

D.4:7

Explanation: Total students = 12 + 16 = 28, so the ratio is 12:28. Dividing both by 4 gives 3:7.

4In a proportional relationship, y = 24 when x = 6. What is the constant of proportionality?

A.4

B.6

C.1/4

D.144

Explanation: The constant of proportionality is y/x = 24/6 = 4, so the equation is y = 4x.

5A table shows x: 2, 4, 6 and y: 5, 10, 15. What is the unit rate of y per x?

A.2.5

B.5

C.2

D.0.4

Explanation: The unit rate is y/x for any row: 5/2 = 2.5, 10/4 = 2.5, and 15/6 = 2.5. The constant rate is 2.5.

6What is 15% of 80?

A.12

B.20

C.8

D.0.12

Explanation: 15% of 80 = 0.15 × 80 = 12. You can also compute 10% of 80 = 8 and 5% of 80 = 4, then add: 8 + 4 = 12.

740 is what percent of 200?

A.20%

B.40%

C.5%

D.25%

Explanation: Divide the part by the whole: 40/200 = 0.20 = 20%. You can also simplify 40/200 = 1/5 = 20%.

8A jacket price increases from USD 50 to USD 65. What is the percent increase?

A.30%

B.23%

C.15%

D.130%

Explanation: Percent increase = (new − original)/original = (65 − 50)/50 = 15/50 = 0.30 = 30%.

9A phone's value drops from USD 400 to USD 320. What is the percent decrease?

A.20%

B.25%

C.80%

D.8%

Explanation: Percent decrease = (original − new)/original = (400 − 320)/400 = 80/400 = 0.20 = 20%.

10A meal costs USD 28 before tax. With a 6% sales tax, what is the total cost?

A.USD 29.68

B.USD 1.68

C.USD 34.00

D.USD 28.06

Explanation: Tax = 6% of 28 = 0.06 × 28 = 1.68, so total = 28 + 1.68 = USD 29.68. Equivalently, 28 × 1.06 = 29.68.

About the Montana MAST Grade 7 Mathematics Exam

The Montana Aligned to Standards Through-Year Assessment (MAST) Grade 7 Mathematics assessment evaluates student mastery of the Montana Content Standards for Mathematics (CCSS-M) Grade 7. This 100-question practice bank is an English-language MCQ adaptation designed to build student fluency, problem-solving skills, and conceptual understanding across ratios, rational numbers, expressions, geometry, and statistics.

Assessment

Official through-year assessment with selected-response, equation-entry, and technology-enhanced testlets delivered on the Kite platform; this local bank contains 100 English four-option practice MCQs across 5 standards domains.

Time Limit

Untimed; through-year testlets across three testing windows

Passing Score

No pass/fail score; results use four MAST performance levels (Novice, Partially Proficient, Proficient, Advanced). Grade 7 Math cuts: Novice 250-294, Partially Proficient 295-314, Proficient 315-340, Advanced 341-400.

Exam Fee

No fee to students (Montana Office of Public Instruction (OPI))

Montana MAST Grade 7 Mathematics Exam Content Outline

22%

Ratios & Proportional Relationships

Compute unit rates associated with ratios of fractions & ratios of lengths/areas/measurements, recognize & represent proportional relationships between quantities (identify constant of proportionality/unit rate from tables/graphs/equations/diagrams), decide whether two quantities are in a proportional relationship, represent proportional relationships by equations, use proportional relationships to solve multistep ratio & percent problems (simple interest, tax, markups/markdowns, gratuities/commissions, fees, percent increase/decrease, percent error), solve problems involving scale drawings of geometric figures & compute actual lengths/areas from a scale drawing.

15%

The Number System

Apply & extend previous understandings of addition & subtraction to add & subtract rational numbers, apply & extend previous understandings of multiplication & division & of fractions to multiply & divide rational numbers, solve real-world & mathematical problems involving the four operations with rational numbers, convert a rational number to a decimal using long division.

23%

Expressions & Equations

Apply properties of operations as strategies to add/subtract/factor & expand linear expressions with rational coefficients, understand that rewriting an expression in different forms can shed light on the problem & how the quantities are related, solve multi-step real-life & mathematical problems posed with positive & negative rational numbers (converting between forms as appropriate, assessing reasonableness of answers using mental computation & estimation), use variables to represent quantities & construct simple equations & inequalities to solve problems, solve word problems leading to equations of the form px+q=r and p(x+q)=r & to inequalities of the form px+q>r.

20%

Geometry

Solve problems involving scale drawings of geometric figures, draw (freehand/with ruler/with technology) geometric shapes with given conditions (focus on triangles from three measures of angles/sides, noticing when conditions determine one triangle or more than one or none), describe the two-dimensional figures that result from slicing three-dimensional figures (right rectangular prisms & pyramids), know the formulas for area & circumference of a circle & use them to solve problems, use facts about supplementary/complementary/vertical/adjacent angles to write & solve equations, solve real-world & mathematical problems involving area, volume & surface area of two- & three-dimensional objects composed of triangles/quadrilaterals/polygons/cubes/right prisms.

20%

Statistics & Probability

Understand that statistics can be used to gain information about a population by examining a sample, use data from a random sample to draw inferences about a population, draw informal comparative inferences about two populations using measures of center & variability, understand that the probability of a chance event is a number between 0 & 1, approximate the probability of a chance event by collecting data & predicting the approximate relative frequency, develop a uniform/non-uniform probability model & use it to find probabilities of events, find probabilities of compound events using organized lists/tree diagrams/table/simulation.

How to Pass the Montana MAST Grade 7 Mathematics Exam

What You Need to Know

Passing score: No pass/fail score; results use four MAST performance levels (Novice, Partially Proficient, Proficient, Advanced). Grade 7 Math cuts: Novice 250-294, Partially Proficient 295-314, Proficient 315-340, Advanced 341-400.
Assessment: Official through-year assessment with selected-response, equation-entry, and technology-enhanced testlets delivered on the Kite platform; this local bank contains 100 English four-option practice MCQs across 5 standards domains.
Time limit: Untimed; through-year testlets across three testing windows
Exam fee: No fee to students

Keys to Passing

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
Use our AI tutor for tough concepts

Montana MAST Grade 7 Mathematics Study Tips from Top Performers

1Practice unit-rate problems with fractional quantities by setting up the division and simplifying the fraction before converting to a decimal.

2When solving percent problems, identify whether the question asks for the part, the whole, or the percent, then use the proportion part/whole = percent/100.

3For operations with rational numbers, keep track of signs: same signs add and keep the sign; different signs subtract and keep the sign of the larger absolute value.

4For equations of the form p(x+q)=r, divide both sides by p first or distribute first — choose the path with simpler arithmetic.

5For compound probability, list all outcomes in an organized list or tree diagram when events are independent, and remember to multiply probabilities for "and" events.

Frequently Asked Questions

What is the format of the MAST Grade 7 Mathematics assessment?

The official Montana MAST Grade 7 Math assessment is delivered through-year on the Kite platform as testlets with selected-response, equation-entry, and technology-enhanced items across three testing windows. This independent bank provides 100 English four-option MCQs as a study adaptation, not a format simulation.

How are performance levels reported on Montana MAST Math?

Results are reported in four performance levels on a 250-400 scale: Novice (250-294), Partially Proficient (295-314), Proficient (315-340), and Advanced (341-400). Proficient and Advanced reflect meeting grade-level standards.

How is the through-year MAST assessment structured?

MAST is delivered as testlets across three testing windows during the school year on the Kite platform, rather than as a single end-of-year test. This lets educators monitor progress during the year, while the results still combine into a year-end performance level.

Is this practice bank affiliated with the Montana Office of Public Instruction?

This practice bank is an independent learning resource aligned to the public Montana Content Standards for Mathematics Grade 7 (CCSS-M) and is not an official OPI or Kite product.

100+ Free Montana MAST Grade 7 Mathematics Practice Questions

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