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100+ Free AK STAR Math Grade 7 Practice Questions

Prepare for the Alaska System of Academic Readiness (AK STAR) Mathematics, Grade 7 exam with instant access — no signup required.

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Key Facts: AK STAR Math Grade 7 Exam

AK STAR Grade 7 Math is Alaska's spring adaptive statewide mathematics assessment (~65 items, ~180 minutes estimated), scored Needs Support to Advanced and linked to MAP Growth.

Sample AK STAR Math Grade 7 Practice Questions

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

1A trail mix recipe uses 4 cups of pretzels for every 3 cups of raisins. What is the unit rate of pretzels per cup of raisins?
A.1.33 cups of pretzels per cup of raisins
B.0.75 cups of pretzels per cup of raisins
C.7 cups of pretzels per cup of raisins
D.12 cups of pretzels per cup of raisins
Explanation: Unit rate means pretzels per 1 cup of raisins: 4 ÷ 3 = 4/3 ≈ 1.33 cups of pretzels per cup of raisins. Divide the first quantity by the second when the rate is "A per B."
2A car travels 210 miles in 3 hours at a constant speed. What is the constant of proportionality in miles per hour?
A.70
B.63
C.210
D.630
Explanation: At constant speed, distance = k × time. So k = 210 ÷ 3 = 70 miles per hour. The constant of proportionality is the unit rate of distance to time.
3Which table represents a proportional relationship between x and y?
A.x: 1, 2, 3 y: 4, 8, 12
B.x: 1, 2, 3 y: 5, 7, 9
C.x: 1, 2, 3 y: 3, 5, 8
D.x: 1, 2, 3 y: 2, 4, 7
Explanation: A proportional relationship has a constant ratio y/x. In the first table, 4/1 = 8/2 = 12/3 = 4, so y = 4x. The other tables do not keep a constant ratio.
4If y is proportional to x and y = 18 when x = 6, what is y when x = 10?
A.30
B.24
C.28
D.15
Explanation: The constant of proportionality is k = y/x = 18/6 = 3. Then y = 3x, so when x = 10, y = 30. You can also use the proportion 18/6 = y/10.
5A map scale is 1 inch : 40 miles. Two towns are 3.5 inches apart on the map. What is the actual distance?
A.140 miles
B.120 miles
C.80 miles
D.175 miles
Explanation: Each inch represents 40 miles, so 3.5 × 40 = 140 miles. Multiply map distance by the scale factor.
6A store marks up a jacket that costs $40 by 35%. What is the selling price?
A.$54.00
B.$14.00
C.$51.00
D.$75.00
Explanation: Markup amount = 0.35 × 40 = $14. Selling price = 40 + 14 = $54. Equivalently, 40 × 1.35 = 54.
7A shirt originally priced at $60 is on sale for 25% off. What is the sale price?
A.$45.00
B.$15.00
C.$35.00
D.$48.00
Explanation: Discount = 0.25 × 60 = $15. Sale price = 60 − 15 = $45. Equivalently, pay 75% of the original: 0.75 × 60 = 45.
8Maya scores 18 out of 24 points on a quiz. What percent of the points did she earn?
A.75%
B.66%
C.80%
D.72%
Explanation: Percent = (part/whole) × 100 = (18/24) × 100 = 0.75 × 100 = 75%. Simplify 18/24 = 3/4 before multiplying by 100.
9A recipe that serves 4 people needs 2.5 cups of rice. How many cups of rice are needed to serve 10 people?
A.6.25 cups
B.5 cups
C.7.5 cups
D.12.5 cups
Explanation: Scale factor = 10/4 = 2.5. Rice needed = 2.5 × 2.5 = 6.25 cups. Or set up 2.5/4 = r/10 and solve r = 25/4 = 6.25.
10The graph of a proportional relationship passes through the origin and the point (5, 20). What is the equation of the line?
A.y = 4x
B.y = 5x
C.y = 4x + 20
D.y = x + 4
Explanation: Proportional relationships have form y = kx with no y-intercept other than 0. k = 20/5 = 4, so y = 4x.

About the AK STAR Math Grade 7 Exam

AK STAR Grade 7 Mathematics is Alaska's spring statewide summative math assessment for grade 7, administered by DEED with NWEA. It measures Alaska Mathematics Standards with an item-adaptive design that produces an on-grade achievement level and MAP Growth RIT scores by instructional area. Basic and scientific calculators available on many items in grades 6–8; graphing not available. OpenExamPrep questions are free English MCQ study aids with genuine computation items; they do not replace official practice tests, adaptive delivery, or classroom instruction.

Questions

65 scored questions

Time Limit

About 180 minutes estimated; not strictly timed; may be administered in multiple school-day sessions.

Passing Score

Reported in four achievement levels: Needs Support, Approaching Proficient, Proficient, and Advanced (Alaska DEED AK STAR / Science score reports).

Exam Fee

Free for eligible Alaska public school students; AK STAR and the Alaska Science Assessment are state-required summative assessments administered by districts at no cost to families. (Alaska DEED in partnership with NWEA (MAP Growth connected spring summative))

AK STAR Math Grade 7 Exam Content Outline

~20-25%

Ratios & Proportions

Unit rates, proportional reasoning, and percent.

~20-25%

Number System

Operations with rationals/integers and number properties.

~20-25%

Expressions & Equations

Simplify, solve, and model with expressions and equations.

~15-20%

Geometry

Measurement formulas, figures, and geometric relationships.

~10-15%

Statistics & Probability

Summarize data and basic probability.

How to Pass the AK STAR Math Grade 7 Exam

What You Need to Know

  • Passing score: Reported in four achievement levels: Needs Support, Approaching Proficient, Proficient, and Advanced (Alaska DEED AK STAR / Science score reports).
  • Exam length: 65 questions
  • Time limit: About 180 minutes estimated; not strictly timed; may be administered in multiple school-day sessions.
  • Exam fee: Free for eligible Alaska public school students; AK STAR and the Alaska Science Assessment are state-required summative assessments administered by districts at no cost to families.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

AK STAR Math Grade 7 Study Tips from Top Performers

1Practice multi-step word problems that require choosing operations carefully.
2Build fluency on grade-level computation before relying on calculators (especially grades 3–5, where calculators are not allowed).
3Explain answers with models, equations, and units—not only final numbers.
4Use DEED formula sheets for grades that provide them and official practice tests for item types.
5Review mistakes by identifying whether the error was computation, concept, or misread wording.

Frequently Asked Questions

What is AK STAR Grade 7 Mathematics?

Alaska's required spring mathematics summative for grade 7 within the AK STAR system (DEED + NWEA).

Are calculators allowed?

Basic and scientific calculators available on many items in grades 6–8; graphing not available.

How long is the test?

About 180 minutes estimated total; not strictly timed; schools schedule multiple sessions as needed.

How many questions?

About 65 total mathematics items for Grade 7 on the online adaptive form per DEED administration directions.

How is it scored?

Four achievement levels (Needs Support through Advanced) plus MAP Growth RIT scores by instructional area.

Is there a fee?

No family fee for eligible Alaska public school students.