A candle is 20 centimeters tall. It burns at a steady rate and is 14 centimeters tall after 4 hours. The rate of change of its height is −1.5. What does −1.5 mean here?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.B.4
A graph shows how far a hiker has walked from a trailhead over time. The line rises, then is flat, then rises again less steeply. What does the flat part show?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.B.5
A kayak rental costs a $15 safety fee plus $22 for each hour on the water. Which equation gives the total cost y, in dollars, for x hours?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.B.4
A line passes through (−2, 7) and (2, −1). What is its rate of change?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.B.4
Show all 40 questions (36 more)
Functions, continued
A linear function has this table: when x is 2, y is 11; when x is 5, y is 20; when x is 8, y is 29. What is its initial value, the value of y when x is 0?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.B.4
A rule assigns to each input x the output 3x − 4. What is the output for an input of 6?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.A.1
A table has x values 1, 2, 3, 4 and y values 2, 4, 8, 16. Is the function linear?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.A.3
Function A is y = 3x + 1. Function B is linear and its table has the pairs (0, 5), (2, 9) and (4, 13). Which statement is true?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.A.2
In which set of ordered pairs does one input have two different outputs, so that the set is not a function?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.A.1
Which situation has a graph that is decreasing and nonlinear?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.F.B.5
Expressions and equations 12
A lake holds about 9 × 10⁸ liters of water. A water tank holds about 3 × 10⁴ liters. About how many times as much water does the lake hold?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.A.3
Along a straight line on a coordinate plane, moving 4 units to the right always goes 3 units up. How far up does the line go over 12 units to the right?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.B.6
Car A travels d = 55t miles in t hours. Car B's distance graph is a straight line through (0, 0) and (2, 124). Which car is faster, and by how much?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.B.5
How many solutions does 2(3x − 7) = 6x − 14 have?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.C.7a
The lines y = 4x − 5 and y = 4x + 2 are graphed on the same plane. How many solutions does the system have?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.C.8b
What are the solutions of x² = 196?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.A.2
What is (2.5 × 10³) × (4.2 × 10⁴) in scientific notation?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.A.4
What is the solution of 3(2x − 5) = 4x + 7?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.C.7b
What is the solution of x³ = 729?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.A.2
Which fraction has the same value as 2⁻⁵?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.A.1
Which inequality describes all solutions of −3x + 4 > 19?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.C.7b
Which single power of 7 is equivalent to (7²)⁵ ÷ 7⁶?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.EE.A.1
Geometry 8
A cone has a radius of 3 feet and a height of 7 feet. What is its volume in terms of π?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.C.9
A kite string 10 meters long is tied to a stake in the ground and pulled tight. The kite is directly above a spot 6 meters from the stake. How high above the ground is the kite?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.B.7
Point (2, 7) is rotated 180° about the origin. What are the coordinates of its image?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.A.3
Point (3, −5) is reflected across the y-axis. What are the coordinates of its image?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.A.3
Three side lengths of a triangle are given. Which triangle has a right angle?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.B.6
Triangle P is dilated by a scale factor of 3 and then reflected to make triangle Q. Which statement is true?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.A.4
Two angles of a triangle measure 38° and 86°. What is the measure of an exterior angle at the third vertex?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.A.5
What is the distance between the points (−5, 3) and (4, 15)?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.G.B.8
Statistics and probability 3
A line fitted to data on a plant gives its height as h = 2.5d + 4, with h in centimeters and d in days. What does the 2.5 mean?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.SP.A.3
A scatter plot shows hours of practice and free throws made for 20 players. One point lies far away from all the others. What is that point called?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.SP.A.1
In a survey of 80 students, 30 play a sport and 50 do not. Of the 30 who play a sport, 18 also play an instrument. Of the 50 who do not, 20 play an instrument. What percent of the students who play a sport also play an instrument?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.SP.A.4
The number system 7
A number is written 0.101001000100001…, with one more 0 before each new 1, forever. What kind of number is it?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.1
Which comparison of real numbers is true?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.2
Which is a rational number between √2 and √3?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.3
Which is an irrational number between 3 and 4?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.3
Which is the best approximation of √55?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.2
Which list orders √8, 3, π and √11 from least to greatest?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.2
Which statement is true of the decimal expansion of every rational number?AASA Grade 8 Math Item Specifications (Arizona Department of Education, updated January 2026), standard 8.NS.A.1
How this list was compiled: Outline: AASA Math Blueprints (Arizona Department of Education, October 2021), https://www.azed.gov/sites/default/files/2021/10/Math%20AzM2%20Blueprint%202016%20Standards_AASA%20Oct%202021.pdf, and the AASA Grade 8 Math Item Specifications (updated January 2026), https://www.azed.gov/sites/default/files/2026-07/AASA_Gr8_Math_Item_Specifications.pdf, both linked from the department's AASA page, https://www.azed.gov/assessment/aasa, read 2026-10-13. Each question names the Arizona Mathematics Standard it practices as the item specifications number it and keeps that standard's content limits. Every numeric answer is arithmetic on the numbers in the question, worked a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an AASA, AzM2 or AzMERIT test, a sample test, a scoring guide or another practice test. No sample test item was read.
How it works
AZ Merit, as many still call it, is now AASA, and this is unofficial practice for its eighth grade math test: 40 questions of our own on the state's blueprint. Not affiliated with the Arizona Department of Education.
Read the full guide
What 8th grade AASA math covers
Expressions and equations is the largest of the blueprint's five categories, with 12 of the 40 questions: integer exponents, roots, scientific notation, slope, linear equations and inequalities, systems. Functions has 10: inputs and outputs, rate of change and initial value, reading a graph. Geometry has 8: transformations, angles, the Pythagorean Theorem, volume of a cone. The number system has 7, all on rational and irrational numbers. Statistics and probability has 3.
AzMERIT testing practice for 8th grade: with or without a calculator
No question here needs a calculator, so the set can be worked with one or without. The steps are under each answer.
The item specifications keep function notation off the grade 8 test. A rule is written as an equation, such as y = 3x + 5.
Questions and answers
Is AzMERIT the same as AASA in 8th grade?
Yes. AASA is the same Arizona test under a newer name: it was AzMERIT until 2019-2020, then AzM2, and AASA since 2021-2022, the state's technical report says. Grade 8 is the last grade that takes it.
How many questions are on the 8th grade AASA math test?
55, in two units: 47 scored items worth one point each and 8 field-test items that do not count. Unit 1 has 27 items and Unit 2 has 28.
Can you use a calculator on the 8th grade AASA math test?
On Math Unit 1 only. Arizona's guidance permits a scientific calculator there in grades 7 and 8, and one is built into the online test. Calculators that solve problems or can be programmed are not allowed.
What score is proficient on 8th grade AASA math?
A scale score of 3673 to 3704 is Proficient, and 3705 to 3776 is Highly Proficient. Below that are Partially Proficient, 3650 to 3672, and Minimally Proficient. A percent on this page is not a scale score.