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100+ Free WY-TOPP Math Grade 7 Practice Questions

Prepare for the WY-TOPP Summative Mathematics — Grade 7 exam with instant access — no signup required.

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2026 Statistics

Key Facts: WY-TOPP Math Grade 7 Exam

552

Proficient Level Cut Score

Wyoming Department of Education (WDE)

516–551

Basic Scale Score Range

Wyoming Department of Education (WDE)

588+

Advanced Scale Score Range

Wyoming Department of Education (WDE)

["en", "es"]

Official Test Languages (English & Stacked Spanish)

WDE Assessment Guidelines

CAT

Computer-Adaptive Testing Platform

Cambium Assessment, Inc.

Spring

Summative Testing Window (March–May)

WDE Testing Calendar

WY-TOPP Grade 7 Mathematics is Wyoming's free spring statewide summative assessment (WDE/Cambium). The cut score for Proficient performance is 552 (Scale score range: Below Basic <=515, Basic 516-551, Proficient 552-587, Advanced >=588). Test domains cover Ratios & Proportional Relationships (~25%), Expressions & Equations (~25%), The Number System (~20%), Geometry (~15%), and Statistics & Probability (~15%). Official delivery includes English and Spanish stacked translations; OpenExamPrep provides 100 English MCQ practice questions with complete solutions.

Sample WY-TOPP Math Grade 7 Practice Questions

Try these sample questions to test your WY-TOPP 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 rancher in Wyoming feeds 120 pounds of hay to 4 horses each day. What is the unit rate of hay consumed per horse per day?
A.30 pounds per horse
B.25 pounds per horse
C.40 pounds per horse
D.480 pounds per horse
Explanation: To find the unit rate of hay per horse, divide the total pounds of hay by the number of horses: 120 / 4 = 30 pounds per horse per day.
2A truck travels 180 miles on 6 gallons of gasoline. What is the unit rate in miles per gallon?
A.30 miles per gallon
B.25 miles per gallon
C.36 miles per gallon
D.1,080 miles per gallon
Explanation: Divide total miles by total gallons: 180 / 6 = 30 miles per gallon.
3A proportional relationship table shows values of x and y: (2, 8), (4, 16), and (6, 24). What is the constant of proportionality k = y/x?
A.k = 4
B.k = 2
C.k = 8
D.k = 0.25
Explanation: The constant of proportionality k is calculated as y / x. For (2, 8), k = 8 / 2 = 4. Checking (4, 16): 16 / 4 = 4; for (6, 24): 24 / 6 = 4. Thus, k = 4.
4A winter jacket in Cheyenne costs $80. It is on sale for 25% off. What is the discount amount in dollars?
A.$20.00
B.$60.00
C.$25.00
D.$15.00
Explanation: Discount amount = 25% of $80 = 0.25 * 80 = $20.00.
5A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker uses 9 cups of flour, how many cups of sugar should be used?
A.6 cups
B.5 cups
C.8 cups
D.13.5 cups
Explanation: Set up the proportion flour/sugar = 3/2 = 9/s. Cross-multiplying gives 3s = 18, so s = 6 cups of sugar.
6On a state map of Wyoming, 1 inch represents 25 miles. If the distance between two towns on the map is 2.5 inches, what is the actual distance in miles?
A.62.5 miles
B.50 miles
C.60 miles
D.10 miles
Explanation: Actual distance = map distance * scale = 2.5 inches * 25 miles/inch = 62.5 miles.
7A student answered 18 out of 20 questions correctly on a test. What percentage of the questions did the student answer correctly?
A.90%
B.85%
C.80%
D.95%
Explanation: Percentage = (18 / 20) * 100 = 0.90 * 100 = 90%.
8Store A sells 5 apples for $3.00 ($0.60 per apple). Store B sells 8 apples for $4.40 ($0.55 per apple). Which store offers the lower unit price and by how much per apple?
A.Store B by $0.05 per apple
B.Store A by $0.05 per apple
C.Store B by $0.10 per apple
D.Store A by $0.10 per apple
Explanation: Store A unit price = 3.00 / 5 = $0.60 per apple. Store B unit price = 4.40 / 8 = $0.55 per apple. Store B is cheaper by 0.60 - 0.55 = $0.05 per apple.
9Evaluate the expression: -7 + 12.
A.5
B.-5
C.19
D.-19
Explanation: Adding a positive number to a negative number means taking the difference between their absolute values: |12| - |-7| = 12 - 7 = 5.
10Evaluate the expression: -4 - (-9).
A.5
B.-13
C.-5
D.13
Explanation: Subtracting a negative number is equivalent to adding its positive opposite: -4 - (-9) = -4 + 9 = 5.

About the WY-TOPP Math Grade 7 Exam

The Wyoming Assessment of Readiness and Progress (WY-TOPP) Summative Mathematics Grade 7 assessment measures student mastery of the Wyoming Content and Performance Standards. Administered online in the spring window (March–May) via the Cambium Assessment platform, it features computer-adaptive test (CAT) forms with interactive technology-enhanced items, equation entry, and selected-response questions. OpenExamPrep provides 100 high-quality, calculation-verified practice questions with step-by-step explanations.

Assessment

Variable-length assessment

Time Limit

Untimed (approx. 90–120 minutes recommended)

Passing Score

552 cut score for Proficient level (scale range: Below Basic <=515, Basic 516-551, Proficient 552-587, Advanced >=588).

Exam Fee

Free for Wyoming public school students (state-required assessment). (Wyoming Department of Education (WDE) & Cambium Assessment, Inc. (CAI))

WY-TOPP Math Grade 7 Exam Content Outline

13-17%

Ratios & Proportional Relationships

Unit rates, constant of proportionality, proportional equations, multi-step percent problems (tax, tip, discount, markups, simple interest), and scale drawings.

16-20%

Expressions & Equations

Simplifying and expanding linear expressions, solving two-step equations px + q = r and p(x + q) = r, solving and graphing two-step inequalities, and modeling real-world problems.

6-13%

The Number System

Addition, subtraction, multiplication, and division of rational numbers (signed integers, fractions, and decimals), complex fractions, and converting fractions to decimals.

23-30%

Geometry

Area and circumference of circles, scale factor applications, complementary/supplementary/vertical angle relationships, surface area and volume of 2D/3D prisms and pyramids.

26-33%

Statistics & Probability

Random sampling, population inferences, comparing data distributions using center and variability (median, IQR, mean, MAD), theoretical and experimental probability, and compound events.

How to Pass the WY-TOPP Math Grade 7 Exam

What You Need to Know

  • Passing score: 552 cut score for Proficient level (scale range: Below Basic <=515, Basic 516-551, Proficient 552-587, Advanced >=588).
  • Assessment: Variable-length assessment
  • Time limit: Untimed (approx. 90–120 minutes recommended)
  • Exam fee: Free for Wyoming public school students (state-required assessment).

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

WY-TOPP Math Grade 7 Study Tips from Top Performers

1Master signed number arithmetic: practice fraction and decimal operations with positive and negative numbers until fluently calculated without simple sign errors.
2Set up proportions systematically: label quantities clearly when writing equations for scale drawings, unit rates, and multi-step percent problems.
3Practice solving two-step equations and inequalities: remember to reverse the inequality symbol when multiplying or dividing both sides by a negative number.
4Memorize key geometry formulas: know the formulas for circle area (pi * r^2), circumference (2 * pi * r or pi * d), surface area, and volume of prisms.
5Analyze data distributions: practice comparing medians and interquartile ranges (IQR) as well as means and mean absolute deviations (MAD) for two sample groups.

Frequently Asked Questions

What is the WY-TOPP Grade 7 Mathematics assessment?

WY-TOPP (Wyoming Assessment of Readiness and Progress) is Wyoming's statewide summative assessment system administered by WDE and Cambium Assessment. The Grade 7 Math test evaluates student proficiency against Wyoming Content and Performance Standards.

What scale scores define the performance levels on WY-TOPP Grade 7 Math?

WY-TOPP Grade 7 Mathematics scale scores are categorized into four performance levels: Below Basic (515 and below), Basic (516–551), Proficient (552–587), and Advanced (588 and above). A score of 552 is the cut score required for Proficient.

Is calculator usage permitted on the WY-TOPP Grade 7 Math test?

Yes. Grade 7 WY-TOPP Mathematics includes both a non-calculator section (testing basic computation and estimation) and a calculator-permitted section (where an online scientific/basic calculator is provided on the testing platform).

What languages is the official WY-TOPP Mathematics test available in?

The official WY-TOPP assessment is delivered in English and Spanish. For mathematics, a stacked Spanish translation option displays Spanish text alongside the English version as a designated support.

How long is the WY-TOPP Grade 7 Math exam?

The test is untimed to ensure students can demonstrate their true mathematical knowledge. Schools typically schedule two sessions of 45–60 minutes each (totaling 90–120 minutes).

How are these practice questions structured compared to the real test?

These 100 practice questions are four-option multiple-choice items designed for study and skill building. While the official online WY-TOPP test includes technology-enhanced and equation-entry items, our practice bank covers all tested mathematical competencies with step-by-step solutions.