100+ Free CMAS Math Grade 7 Practice Questions
Prepare for the Colorado Measures of Academic Success (CMAS) Mathematics — Grade 7 exam with instant access — no signup required.
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Key Facts: CMAS Math Grade 7 Exam
Grade 7
CMAS Mathematics tested grade (CDE)
ed.cde.state.co.us/assessment/cmas
Free
No student exam fee for standard school administration
CDE Assessment FAQs
Pearson
CDE assessment contractor; TestNav / PearsonAccessnext delivery
Spring 2026 CMAS Overview
Spring
Primary administration window (2026: April 6–24 for CMAS)
CDE Fact Sheets and FAQs
CAS
Aligned to Colorado Academic Standards grade-level expectations
CDE CMAS overview
650–850
Overall scale score range reported on CMAS score reports
CDE interpretive guides
50–51 pts
Approx. total score points Grades 3–8 math blueprint
2023–2024 CMAS Technical Report Appendix A
3 units
65 minutes per math unit
Spring 2026 CMAS unit times
CMAS Mathematics Grade 7 is Colorado's free statewide spring summative (CDE/Pearson), mixed item types on TestNav, performance levels on a 650–850 scale; practice here is English MCQ study only.
Sample CMAS Math Grade 7 Practice Questions
Try these sample questions to test your CMAS 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 Colorado trail crew mixes 8 liters of water with 3 liters of concentrate. What is the unit rate of water per liter of concentrate?
2A cyclist covers 42 miles in 3 hours at a constant speed. What is the constant of proportionality in miles per hour?
3Which table shows a proportional relationship between x and y?
4If y is proportional to x and y = 36 when x = 9, what is y when x = 14?
5Solve the proportion: 5/8 = n/24.
6A map scale is 1 inch = 40 miles. Two towns are 2.5 inches apart on the map. What is the actual distance?
7A jacket costs $80 and is discounted 15%. What is the sale price?
8A meal costs $48 before tax. Sales tax is 8%. What is the total cost including tax?
9An account earns 5% simple interest per year on a principal of $600. How much interest is earned in 4 years?
10A town’s population grows from 2,400 to 3,000. What is the percent increase?
About the CMAS Math Grade 7 Exam
Colorado Measures of Academic Success (CMAS) Mathematics — Grade 7 is Colorado's grade-level Colorado Measures of Academic Success (CMAS) statewide summative assessment, developed by CDE with Colorado educators and Pearson against the Colorado Academic Standards. It is administered in the spring window (for 2026: April 6–24 per CDE FAQs) on Pearson TestNav. Official forms use mixed item types (selected-response, technology-enhanced, and for many content areas constructed-response tasks). OpenExamPrep free practice is an English-language four-option MCQ study adaptation aligned to CMAS reporting categories and grade-level CAS—not official secure items, not a full TE/CR simulation, and not a substitute for classroom instruction or the official assessment.
Assessment
Question count not published by the exam provider
Time Limit
About 3 hours 15 minutes of total student testing time across three units of 65 minutes each (CDE 2025–26 State Testing Content Area and Time table; Spring 2026 CMAS Test Administrator Manual). In grades 6–8, Unit 1 has a non-calculator Section 1 and a calculator Section 2; Units 2 and 3 are calculator units. Grades 6–7 use a five-function calculator (square root and percentage).
Passing Score
CMAS Mathematics and ELA overall scale scores range from 650 to 850 and are reported in five performance levels: Did Not Yet Meet Expectations, Partially Met Expectations, Approached Expectations, Met Expectations, and Exceeded Expectations. Students in Met Expectations and Exceeded Expectations are considered on track relative to the Colorado Academic Standards (CDE CMAS interpretive guides / score reports).
Exam Fee
Free for Colorado public school students; CMAS is a state-required summative assessment administered by districts at no cost to families (CDE Assessment FAQs). (Colorado Department of Education (CDE) with assessment contractor Pearson; delivery via PearsonAccessnext / TestNav)
CMAS Math Grade 7 Exam Content Outline
Ratios and Proportional Relationships
Unit rates, proportional relationships, multistep percent problems.
The Number System
Add/subtract/multiply/divide rational numbers; real-world signed-number problems.
Expressions and Equations
Simplify linear expressions; solve multi-step equations/inequalities; rewrite expressions.
Geometry
Scale drawings, constructions, angle relationships, area/surface area/volume of 2D/3D figures.
Statistics and Probability
Sampling, comparative inferences, probability models, compound events.
Mathematical Reasoning & Modeling
Reasoning and modeling; calculator and non-calculator sections.
How to Pass the CMAS Math Grade 7 Exam
What You Need to Know
- Passing score: CMAS Mathematics and ELA overall scale scores range from 650 to 850 and are reported in five performance levels: Did Not Yet Meet Expectations, Partially Met Expectations, Approached Expectations, Met Expectations, and Exceeded Expectations. Students in Met Expectations and Exceeded Expectations are considered on track relative to the Colorado Academic Standards (CDE CMAS interpretive guides / score reports).
- Assessment: Question count not published by the exam provider
- Time limit: About 3 hours 15 minutes of total student testing time across three units of 65 minutes each (CDE 2025–26 State Testing Content Area and Time table; Spring 2026 CMAS Test Administrator Manual). In grades 6–8, Unit 1 has a non-calculator Section 1 and a calculator Section 2; Units 2 and 3 are calculator units. Grades 6–7 use a five-function calculator (square root and percentage).
- Exam fee: Free for Colorado public school students; CMAS is a state-required summative assessment administered by districts at no cost to families (CDE Assessment FAQs).
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
CMAS Math Grade 7 Study Tips from Top Performers
Frequently Asked Questions
What is the CMAS Mathematics Grade 7 assessment?
Colorado Measures of Academic Success (CMAS) is Colorado's standards-based statewide summative program. The Grade 7 Mathematics form measures mastery of grade-level Colorado Academic Standards and is developed by CDE with Colorado educators and Pearson.
Is CMAS free for students?
Yes. CMAS is administered through Colorado public schools as a state assessment. Families do not pay an exam fee for standard school-based administration (CDE Assessment FAQs).
How long is the official test?
About 3 hours 15 minutes total across three units of 65 minutes each for Mathematics Grades 3–8 (CDE 2025–26 State Testing Content Area and Time table; Spring 2026 unit times). Grades 3–5 are non-calculator for all units; Grades 6–8 Unit 1 has non-calculator and calculator sections, and Units 2–3 are calculator units (Spring 2026 CMAS Overview / Procedures Manual).
What item types appear on the official CMAS?
Official CMAS uses selected-response, technology-enhanced, and often constructed-response or performance/simulation tasks depending on content area. This site offers English four-option MCQ study adaptations only—not an official-format simulation.
How are results reported?
CMAS Mathematics and ELA overall scale scores range from 650 to 850 and are reported in five performance levels: Did Not Yet Meet Expectations, Partially Met Expectations, Approached Expectations, Met Expectations, and Exceeded Expectations. Students in Met Expectations and Exceeded Expectations are considered on track relative to the Colorado Academic Standards (CDE CMAS interpretive guides / score reports).
Are these practice questions official CMAS items?
No. These free practice questions are original study aids aligned to Colorado Academic Standards and CMAS frameworks/blueprints. They are not secure official items and do not replace Colorado Practice Resources, classroom instruction, or the official spring assessment.
Are calculators allowed on CMAS Math?
Grades 3–5 are non-calculator for all units; Grades 6–8 Unit 1 has non-calculator and calculator sections, and Units 2–3 are calculator units (Spring 2026 CMAS Overview / Procedures Manual).