A baker fills 6 trays with 4 muffins on each tray. Which expression gives the total number of muffins?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.OA.A.1
A granola bar is cut into 8 equal pieces. Sam eats 3 of the pieces. What fraction of the bar does Sam eat?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.NF.A.1
A ranger packs 48 trail maps into boxes of 6 maps. How many boxes does she fill?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.OA.A.3
Show all 20 questions (17 more)
Major content, continued
A rectangular garden bed is 7 feet long and 6 feet wide. What is its area?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.MD.C.7.b
Mia has 5 packs of 8 stickers. She gives away 12 stickers. How many stickers does she have left?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.OA.D.8
Soccer practice starts at 3:40 and ends at 4:25. How long is practice?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.MD.A.1
What is 63 ÷ 9?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.OA.C.7
What number makes this equation true? 7 × ? = 56CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.OA.A.4
Which comparison is true?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 3.NF.A.3.d
Supporting content 4
A rectangle has a perimeter of 30 inches. Its length is 9 inches. What is its width?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 3.MD.D.8
What is 468 rounded to the nearest hundred?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 3.NBT.A.1
What is 705 − 268?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 3.NBT.A.2
Which statement is true of every rectangle, every rhombus and every square?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 3.G.A.1
Reasoning 4
Ava eats 1/4 of a small pizza. Ben eats 1/4 of a large pizza. Ava says they ate the same amount. What is wrong with her reasoning?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 3.NF.A.3.d
Jo knows that 8 × 5 = 40 and 8 × 2 = 16. How can Jo use these facts to find 8 × 7?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 3.OA.B.5
Lee has 3 bags of 6 apples and finds 4 more apples. A student writes 3 × 6 = 18 + 4 = 22. The total, 22, is right. What is wrong with the work?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 3.OA.D.8
Why is 4 times any whole number always even?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 3.OA.D.9
Modeling 3
A class of 24 students rides to a museum in vans that hold 6 students each. Parking costs $9 for each van. What is the total parking cost?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 3.OA.D.8
A library shelf holds 9 books. A cart has 5 full shelves and one shelf with only 4 books. How many books are on the cart?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 3.OA.A.3
Tickets cost $7 for an adult and $4 for a child. What do tickets cost for 2 adults and 5 children?CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 3.OA.D.8
How this list was compiled: Outline and standards: CMAS Grade 3 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/f5bf24a1-23f5-4a3e-9d42-ddb6f61b0992, linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign, read 2026-10-08. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the share of score points of each reporting category; each question names the outcome it practices. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4, read 2026-10-08. Every numeric answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices, short texts, data tables and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource or another practice test.
Grade 4: all 20 questions
Major content 10
A blue ribbon is 4 times as long as a red ribbon. The blue ribbon is 36 inches long. How long is the red ribbon?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.OA.A.2
What is 2 3/8 + 1 7/8?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.3.c
What is 34 × 27?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.5
Show all 20 questions (17 more)
Major content, continued
What is 1,548 ÷ 6?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.6
What is 6,204 − 3,758?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.4
What is 73,846 rounded to the nearest thousand?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.A.3
Which decimal is equal to 7/100?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.C.6
Which fraction is equivalent to 3/4?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.A.1
Which number is four hundred six thousand, fifty-two?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.A.2
Which statement about these fractions is true?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.A.2
Supporting content 3
A rectangular rug has an area of 54 square feet. It is 6 feet wide. How long is it?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.MD.A.3
An angle of 130° is split into two angles that do not overlap. One of them measures 45°. What does the other one measure?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.MD.C.7
Which number is prime?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.OA.B.4
Reasoning 4
A pattern starts at 3 and follows the rule "add 4": 3, 7, 11, 15. Why is every number in the pattern odd?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 4.OA.C.5
How does the value of the 5 in 5,280 compare with the value of the 5 in 528?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 4.NBT.A.1
Kai says 1/3 is greater than 1/2 because 3 is greater than 2. Which statement corrects Kai?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 4.NF.A.2
To find 6 × 48, Rosa works out 6 × 40 and 6 × 8 and adds the two results. Why does this work?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 4.NBT.B.5
Modeling 3
A hiker carries 3 liters of water. She drinks 750 milliliters in the morning and 1,200 milliliters in the afternoon. How many milliliters are left?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 4.MD.A.2
A school orders 12 boxes of pencils with 144 pencils in each box. The pencils are shared equally among 8 classrooms. How many pencils does each classroom get?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 4.OA.A.3
Elena reads 35 pages a day for 6 days and 48 pages on the seventh day. How many pages does she read in the week?CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 4.OA.A.3
How this list was compiled: Outline and standards: CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/68ae9a1f-4b6b-4fde-ba02-ac42430c3c92, linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign, read 2026-10-08. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the share of score points of each reporting category; each question names the outcome it practices. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4, read 2026-10-08. Every numeric answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices, short texts, data tables and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource or another practice test.
Grade 5: all 20 questions
Major content 9
How many 1/4-cup servings are in 3 cups of trail mix?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.7.c
In the number 4.44, how does the value of the 4 in the tenths place compare with the value of the 4 in the hundredths place?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.1
What is 2/3 + 3/4?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.A.1
Show all 20 questions (17 more)
Major content, continued
What is 3.6 × 0.25?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.7
What is 3/5 × 20?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.4.a
What is 6.385 rounded to the nearest tenth?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.4
What is 426 × 38?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.5
What is 2,912 ÷ 28?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.6
Which number is 30 + 2 + 0.4 + 0.006 in standard form?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.3
Supporting content 4
A box is 8 centimeters long, 5 centimeters wide and 3 centimeters high. What is its volume?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.MD.C.5.b
A point is at (3, 7) on a coordinate plane. How do you reach it from the origin?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.G.A.1
How many centimeters are in 4.2 meters?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.MD.A.1
What is the value of 3 × (8 + 4) − 6 ÷ 2?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.OA.A.1
Reasoning 4
Dee says 1/2 + 1/3 = 2/5. How does estimating show that her sum is wrong?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.A.2
Which statement is true?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.G.B.3
Why does multiplying 4.7 by 100 give 470?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NBT.A.2
Without multiplying, how does 3/4 × 12 compare with 12?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.B.5.b
Modeling 3
A fish tank is 20 inches long, 10 inches wide and 12 inches high. Water fills it to 3 inches below the top. What is the volume of the water?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.MD.C.5.b
One batch of bread uses 2 1/4 cups of flour. Jon makes 3 batches from a bag that holds 10 cups. How much flour is left?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NF.B.6
Tara buys 4 notebooks at $2.35 each and pays with a $20 bill. How much change does she get?CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NBT.B.7
How this list was compiled: Outline and standards: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/dd8dcd5b-5b9e-4930-9de2-0326ae9b8021, linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign, read 2026-10-08. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the share of score points of each reporting category; each question names the outcome it practices. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4, read 2026-10-08. Every numeric answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices, short texts, data tables and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource or another practice test.
Grade 6: all 20 questions
Major content 8
A climbing gym charges $12 for each visit. Which equation gives the total cost c, in dollars, of v visits?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.EE.C.9
A hiker walks 15 miles in 6 hours at a steady pace. What is the unit rate in miles per hour?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.RP.A.2
Solve 6x = 54.CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.EE.B.7
Show all 20 questions (17 more)
Major content, continued
What is 3/4 ÷ 3/8?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.NS.A.1
What is 35% of 80?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.RP.A.3.c
What is the distance between −6 and 4 on a number line?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.NS.C.7.c
What is the value of 3x² + 5 when x = 4?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.EE.A.2.c
Which list is in order from least to greatest?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 6.NS.C.7.a
Supporting content 4
A triangle has a base of 14 centimeters and a height of 9 centimeters. What is its area?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 6.G.A.1
Five quiz scores are 3, 8, 8, 10 and 16. What is the mean?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 6.SP.B.5.c
What is 7.2 ÷ 0.08?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 6.NS.B.3
What is the greatest common factor of 36 and 48?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 6.NS.B.4
Reasoning 4
A drink mix uses 2 scoops for 5 cups of water. Lin uses 4 scoops for 7 cups and says it tastes the same because she added 2 to each amount. Why is she wrong?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 6.RP.A.3.a
One morning it is −12°F in Leadville and −5°F in Durango. Ty says Leadville is warmer because 12 is greater than 5. What is his error?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 6.NS.C.7.b
Sam says x = 6 is a solution of 2x + 3 > 15. Is Sam correct?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 6.EE.B.5
Which statement explains why 3(x + 4) and 3x + 12 are equivalent expressions?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 6.EE.A.4
Modeling 4
A car uses 3 gallons of gas to travel 96 miles. At that rate, how many gallons does it need for a 240-mile trip?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 6.RP.A.3.b
A jacket has a regular price of $60. It is on sale for 25% off. What is the sale price?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 6.RP.A.3.c
A planter box is 4 feet long, 1.5 feet wide and 2 feet deep. Soil costs $3 per cubic foot. What does it cost to fill the box?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 6.G.A.2
A trail loop is 2.5 kilometers long. Jo walks the loop 4 times. How many meters does she walk?CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 6.RP.A.3.d
How this list was compiled: Outline and standards: CMAS Grade 6 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/1e9874d2-b848-420b-9950-c7b17d41a2f9, linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign, read 2026-10-08. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the share of score points of each reporting category; each question names the outcome it practices. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4, read 2026-10-08. Every numeric answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices, short texts, data tables and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource or another practice test.
Grade 7: all 20 questions
Major content 9
A person walks 1/2 mile in 1/4 hour. What is the unit rate in miles per hour?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.RP.A.1
A store buys a shirt for $40 and marks the price up by 15%. What is the new price?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.RP.A.3
In a table, x is 2, 4 and 6 and the matching values of y are 7, 14 and 21. What is the constant of proportionality from x to y?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.RP.A.2.b
Show all 20 questions (17 more)
Major content, continued
Solve 3x + 7 = 31.CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.EE.B.4.a
What is (−6)(−7) ÷ (−3)?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.NS.A.2.c
What is the solution of −2x + 5 < 11?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.EE.B.4.b
What is −8 + 13 − (−4)?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.NS.A.1.c
Which decimal is equal to 5/8?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.NS.A.2.d
Which expression is equivalent to 4(2x − 3) + 5x?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 7.EE.A.1
Supporting content 3
A bag holds 3 red, 5 blue and 2 green tiles of the same size. One tile is drawn without looking. What is the chance that it is blue?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 7.SP.C.7.a
A circle has a radius of 5 centimeters. What is its area? Use 3.14 for π.CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 7.G.B.4
Two angles are supplementary. One of them measures 72°. What does the other measure?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 7.G.B.5
Reasoning 4
A store takes 20% off a price p. Why does 0.8p give the sale price?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 7.EE.A.2
In a table, x is 1, 2 and 3 and the matching values of y are 5, 8 and 11. Is y proportional to x?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 7.RP.A.2.a
Rae starts to solve 2(x + 3) = 14 by writing 2x + 3 = 14. What is her error?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 7.EE.B.4.a
Why is the sum of a number and its opposite always 0?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 7.NS.A.1.b
Modeling 4
A meal costs $50 before tax. Tax is 8% of the meal price, and the tip is 20% of the meal price. What is the total cost?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 7.RP.A.3
A recipe for 6 servings needs 2 1/4 cups of rice. How much rice is needed for 16 servings?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 7.RP.A.3
A shed is a rectangular prism 6 feet long, 4 feet wide and 8 feet high. Kim paints the four walls but not the floor or the roof. What area does she paint?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 7.G.B.6
In a random sample of 50 students at a school, 18 ride the bus. The school has 600 students. What is the best estimate of the number who ride the bus?CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 7.SP.A.2
How this list was compiled: Outline and standards: CMAS Grade 7 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/2c933bb9-6322-4bac-b130-3e577e2ccf53, linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign, read 2026-10-08. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the share of score points of each reporting category; each question names the outcome it practices. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4, read 2026-10-08. Every numeric answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices, short texts, data tables and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource or another practice test.
Grade 8: all 20 questions
Major content 10
A line passes through (0, 0) and (4, 10). What is its slope?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.EE.B.5
A plumber charges a $40 trip fee plus $65 for each hour of work. Which function gives the cost c, in dollars, of a job that takes h hours?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.F.B.4
The legs of a right triangle are 9 and 12 units long. How long is the hypotenuse?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.G.B.7
Show all 20 questions (17 more)
Major content, continued
The point (3, −2) is reflected across the x-axis. What are the coordinates of its image?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.G.A.3
Solve 5x − 8 = 2x + 13.CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.EE.C.7.b
What are the solutions of x² = 81?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.EE.A.2
What is (4 × 10³)(2 × 10⁵) in scientific notation?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.EE.A.4
What is the solution of the system y = 2x + 1 and y = −x + 7?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.EE.C.8.b
Which number is equal to 3⁵ × 3⁻²?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.EE.A.1
Which set of ordered pairs is NOT a function?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 8.F.A.1
Supporting content 3
A cylinder has a radius of 3 centimeters and a height of 10 centimeters. What is its volume? Use 3.14 for π.CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 8.G.C.9
A line of best fit for a plant is h = 2.5t + 10, where h is its height in centimeters after t weeks. What does 2.5 mean?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 8.SP.A.3
Which number is irrational?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 8.NS.A.1
Reasoning 4
Triangle A is rotated 90° and then moved 4 units left to make triangle B. Why are the two triangles congruent?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 8.G.A.2
While solving an equation in x, a student correctly reaches 4 = 4. What does this show?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 8.EE.C.7.a
Why does the point where two lines cross give the solution of the system of their equations?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 8.EE.C.8.a
Why is y = x² not a linear function?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 8.F.A.3
Modeling 3
A 13-foot ladder leans against a wall. Its base is 5 feet from the wall. How high up the wall does the ladder reach?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 8.G.B.7
A paper cup is a cone with a radius of 3 centimeters and a height of 8 centimeters. How much water does it hold? Use 3.14 for π.CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 8.G.C.9
Plan A costs $30 a month plus $5 for each gigabyte of data. Plan B costs $10 a month plus $9 for each gigabyte. For how many gigabytes do the plans cost the same?CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 8.EE.C.8.c
How this list was compiled: Outline and standards: CMAS Grade 8 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/675d177c-a695-4d01-945c-0a2467050ca3, linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign, read 2026-10-08. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the share of score points of each reporting category; each question names the outcome it practices. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4, read 2026-10-08. Every numeric answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices, short texts, data tables and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource or another practice test.
How it works
Unofficial practice for Colorado's CMAS math test, grades 3 to 8. Our own questions, never a real test item. Not affiliated with or endorsed by the Colorado Department of Education.
Read the full guide
What is in each grade's set
Each set has 20 questions in the four reporting categories of the state's framework for that grade: eight to ten on major content, three or four on supporting content, four on reasoning and three or four on modeling. Grades 3 to 5 are written to be worked without a calculator, as on the real test.
How the real test differs
The real test also has questions where you type a number, pick several answers or write out your reasoning. Here every question has four choices. Each explanation ends with the Colorado evidence outcome the question practices, so a wrong answer points to a skill to review.
Reasoning questions ask why a method works or where a worked answer goes wrong. Read every choice before you pick.
Questions and answers
Is this the real CMAS math practice test?
No. It is unofficial practice written for this site. The Colorado Department of Education publishes its own practice resources with released questions; the button under the questions opens them.
What math is on the CMAS test?
Each grade's framework splits 50 to 51 score points four ways: major content (39 to 48 percent, by grade), supporting content (13 to 22 percent), reasoning (20 to 22 percent) and modeling (18 percent).
Can you use a calculator on CMAS math?
Not in grades 3 to 5. Grades 6 and 7 may use a five-function calculator and grade 8 a scientific one, on calculator sections only. Graphing calculators are not allowed.
How is CMAS math scored?
Scale scores run from 650 to 850 in five performance levels. Met Expectations starts at 750 in every grade, and the state counts Met and Exceeded Expectations as on track for college and career.