Seventh grade math for Arizona's AASA, once AzMERIT: unit rates, percent, negative numbers, equations and inequalities, circles, probability.
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Unofficial practice questions, not affiliated with the Arizona Department of Education. Bank checked October 13, 2026.
The real test: AASA mathematics, grade 7
Who takes it
All Arizona public school students in grade 7. AASA tests English language arts and mathematics in grades 3 to 8.
Items
55 in two units. 47 are scored, one point each: 23 in Unit 1 and 24 in Unit 2. The other 8 are field-test items that do not count.
Blueprint
Ratios and proportions 19 to 23%, the number system 19 to 23%, expressions and equations 23 to 27%, geometry 15 to 19%, statistics and probability 12 to 16%.
Calculator
A scientific calculator on Math Unit 1 only, built into the online test. None on Math Unit 2.
Time
Untimed. The state estimates 60 to 85 minutes for each math unit.
Score levels
Minimally Proficient 3529 to 3628, Partially Proficient 3629 to 3651, Proficient 3652 to 3679, Highly Proficient 3680 to 3739.
A chess club grew from 80 members to 92 members. What is the percent increase?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.3
A dressing uses 2/3 cup of oil for every 1/4 cup of vinegar. How much oil is used for each 1 cup of vinegar?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.1
A graph shows the proportional relationship between gallons of gas used, x, and miles driven, y. The graph passes through (1, 32). What does that point mean?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.2d
A hiker climbs 3/4 mile in 3/8 hour. At that rate, how far does the hiker climb in 1 hour?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.1
A meal costs $48 before tax. A 7.5% tax is added, and a tip of 20% of the pre-tax price is left. What is the total cost?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.3
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Ratios and proportions, continued
A printer prints 24 pages every 3 minutes at a constant rate. Which equation gives the number of pages p printed in m minutes?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.2c
The cost of pecans is proportional to their weight: 4 pounds cost $14, 6 pounds cost $21 and 10 pounds cost $35. What is the constant of proportionality, in dollars per pound?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.2b
Each list gives (x, y) pairs from a table. Which table shows a proportional relationship?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.2a
Kai puts $800 in an account that pays 2.5% simple interest each year. How much interest does the account earn in 3 years?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.RP.A.3
The number system 8
A diver descends at a steady rate, so the diver's elevation changes by −1.5 feet each second. What is the change in elevation after 8 seconds?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.2a
A hot-air balloon rises 120 feet and then descends 120 feet. Which number sentence shows its total change in height?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.1a
Long division turns the fraction 7/12 into which decimal?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.2d
The temperature in a mountain town was −6.5°F at dawn and 12.25°F at noon. How many degrees apart are the two temperatures?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.1c
What is the sum of −5/8 and 3/4?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.1
What is the value of the complex fraction (2/3)/(−4/9)?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.3
Which expression has the same value as 5 − (−8.2)?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.1c
Which quotient is equal to −(9/4)?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.NS.A.2b
Expressions and equations 10
A gym charges a $35 sign-up fee plus $22 a month. Rosa has paid $211 in all. For how many months has she paid?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.B.4a
A store raises every price by 8%. If p is an original price, which expression gives the new price?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.A.2
An elevator can carry at most 2,000 pounds. A cart on it weighs 350 pounds, and each box weighs 60 pounds. What is the greatest number of boxes the elevator can carry with the cart?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.B.4b
Five identical notebooks and one $3.25 pen cost $17.00 in all. Which equation gives the price n of one notebook?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.B.4a
Three friends split a $57.60 dinner bill equally after taking $12 off with a coupon. How much does each friend pay?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.B.3
What is the solution of 4(x − 3.5) = −6?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.B.4a
Which expression is 12x − 18 factored using the greatest common factor?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.A.1
Which expression is equal to −4(3x − 2) + 7x once all like terms are combined?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.A.1
Which expression is equivalent to 1/2(6x + 4) − 1/4(8x − 12)?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.A.1
Which values of x make −4x + 6 < 22 true?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.EE.B.4b
Geometry 7
A bicycle wheel has a diameter of 26 inches. About how far does the bike roll in one full turn of the wheel? Use 3.14 for π.AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.B.4
A right rectangular prism is 6 centimeters long, 4 centimeters wide and 3 centimeters high. What is its surface area?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.B.6
A right triangular prism stands on one of its triangular bases. A plane slices it parallel to that base. What shape is the cross section?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.A.3
A scale drawing of a parking lot uses 1 centimeter for 5 meters. On the drawing the lot is a rectangle 6 centimeters by 8 centimeters. What is the area of the real parking lot?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.A.1
On a floor plan, 1/4 inch stands for 2 feet. A room is 2 1/2 inches long on the plan. How long is the real room?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.A.1
Two complementary angles measure (3x + 6)° and 42°. What is the value of x?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.B.5
Which set of three lengths can be the sides of one triangle?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.G.A.2
Statistics and probability 6
A bag holds eight tiles lettered A, B, C, D, E, F, G and H. One tile is drawn at random. What is the probability that the tile shows a vowel?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.SP.C.7a
A school has 900 students. Which sample would best show which lunch the whole school likes most?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.SP.A.1
A spinner landed on green 45 times in 150 spins. Based on these results, about how many times would it land on green in 400 spins?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.SP.C.6
In a random sample of 50 bags of trail mix, 4 are underweight. About how many of the 2,000 bags made that day would you expect to be underweight?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.SP.A.2
The mean number of pages read in a week is 45 in Class A and 60 in Class B. Each class has a mean absolute deviation of 5 pages. The difference between the means is how many times the mean absolute deviation?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.SP.B.3
Random samples of morning trips give these results. Bus riders: median 25 minutes, interquartile range 6 minutes. Bike riders: median 18 minutes, interquartile range 14 minutes. Which inference do the samples support?AASA Grade 7 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 7.SP.B.4
AzMERIT is called AASA now, and Arizona seventh graders still take it each spring. These 40 unofficial math questions were written for this site from the state's grade 7 blueprint and item specifications. Not affiliated with the Arizona Department of Education.
Read the full guide
What 7th grade AASA math covers
Grade 7 has five blueprint categories, and each count here is inside its range. Expressions and equations has 10 questions: combining and factoring expressions, two-step equations and inequalities. Ratios and proportions has 9: unit rates with fractions, proportional tables and graphs, tax, tip, interest and percent change. The number system has 8, on positive and negative rational numbers. Geometry has 7: scale drawings, triangles, slices of solids, circles, angles and surface area. Statistics and probability has 6.
A 7th grade math AzMERIT study guide in five lines
Divide to find a unit rate. Subtracting a negative number is adding its opposite. Reverse the inequality sign when dividing by a negative. Circumference is π times diameter; area is π times radius squared. A probability is a number from 0 to 1.
Questions and answers
Is AzMERIT still the 7th grade math test in Arizona?
The test continues under a newer name. The state's technical report says AzMERIT was renamed AzM2 beginning in 2019-2020, and AzM2 was renamed AASA beginning in 2021-2022.
How many questions are on the 7th grade AASA math test?
55, split into Math Unit 1 with 27 and Math Unit 2 with 28. Of those, 47 are scored at one point each, and 8 are field-test questions that do not count.
Can you use a calculator on 7th grade AASA math?
On Math Unit 1 only. Arizona's calculator guidance permits a scientific calculator there in grades 7 and 8 and none on Unit 2. The online Unit 1 test has one built in. So work half of these questions without one.
What score is Proficient on 7th grade AASA math?
A scale score of 3652 to 3679. Partially Proficient is 3629 to 3651, and Highly Proficient is 3680 to 3739. The state publishes no percent of questions right as a pass mark.
Is there an official AzMERIT practice test for 7th grade?
The state's own practice is the AASA Sample Test. The grade 7 item specifications give the path: home.testnav.com, then Arizona, then Mic Check and Sample Tests. This page is separate and unofficial.