A graph shows the distance of a hiker from camp over time. The line rises, then runs flat, then falls. What does the flat part show?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.5 (RISE Mathematics Blueprint domain: Functions)
A line passes through the points (3, 8) and (7, 28). What is its rate of change?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.4 (RISE Mathematics Blueprint domain: Functions)
A plumber charges a $40 visit fee plus $55 for each hour of work. Which function gives the cost y, in dollars, for x hours?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.4 (RISE Mathematics Blueprint domain: Functions)
A table for a linear function shows x = 1, 2, 3 and y = 11, 15, 19. What is the initial value, the value of y when x is 0?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.4 (RISE Mathematics Blueprint domain: Functions)
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Functions, continued
A tank is filled at a steady rate, left full for an hour, then drained at a steady rate. Which describes the graph of the water level over time?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.5 (RISE Mathematics Blueprint domain: Functions)
The area of a square with side s is A = s². The graph of this function contains the points (1, 1), (2, 4) and (3, 9). Why is the function not linear?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.3 (RISE Mathematics Blueprint domain: Functions)
Each set lists (input, output) pairs. Which set is a function?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.1 (RISE Mathematics Blueprint domain: Functions)
Function A is y = 3x + 1. Function B is given by a table: x = 0, 1, 2 gives y = 4, 9, 14. Which function has the greater rate of change?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.2 (RISE Mathematics Blueprint domain: Functions)
Plan A costs y = 12x + 20 dollars for x months. Plan B has no starting fee and costs $15 each month. Which plan has the greater initial value?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.2 (RISE Mathematics Blueprint domain: Functions)
The rule y = 5x − 2 is a function. What is the output when the input is 7?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.1 (RISE Mathematics Blueprint domain: Functions)
Three of these equations are not linear functions. Which one is linear?Utah Core State Standards for Mathematics, grade 8, Standard 8.F.3 (RISE Mathematics Blueprint domain: Functions)
Expressions and Equations 11
A graph shows the cost of fruit as a straight line through (0, 0) and (4, 10), where x is pounds and y is dollars. What is the unit rate?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.5 (RISE Mathematics Blueprint domain: Expressions and Equations)
A line has a slope of −3 and crosses the vertical axis at (0, 5). What is its equation?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.6 (RISE Mathematics Blueprint domain: Expressions and Equations)
A town uses about 6 × 10⁷ liters of water in a year. A school uses about 2 × 10⁴ liters. About how many times as much water does the town use?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.3 (RISE Mathematics Blueprint domain: Expressions and Equations)
How many solutions does the system 4x + y = 8 and 4x + y = 3 have?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.8 (RISE Mathematics Blueprint domain: Expressions and Equations)
How many values of x make 2(3x + 4) = 6x + 8 true?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.7 (RISE Mathematics Blueprint domain: Expressions and Equations)
What is 3.2 × 10⁴ + 5 × 10³, written in scientific notation?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.4 (RISE Mathematics Blueprint domain: Expressions and Equations)
Which gives every solution of the inequality 2x − 5 > 9?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.7 (RISE Mathematics Blueprint domain: Expressions and Equations)
Which gives every solution of |x + 2| = 9?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.7 (RISE Mathematics Blueprint domain: Expressions and Equations)
Which is equal to 5⁻² × 5⁵?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.1 (RISE Mathematics Blueprint domain: Expressions and Equations)
Which point is on both lines y = 2x − 3 and y = −x + 9?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.8 (RISE Mathematics Blueprint domain: Expressions and Equations)
Which value of x makes x³ = 216 true?Utah Core State Standards for Mathematics, grade 8, Standard 8.EE.2 (RISE Mathematics Blueprint domain: Expressions and Equations)
Geometry / The Number System 19
A box is 6 units wide, 8 units long and 24 units tall. How long is the diagonal from one bottom corner to the opposite top corner?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.7 (RISE Mathematics Blueprint domain: Geometry / The Number System)
A can shaped like a cylinder has a radius of 4 centimeters and a height of 5 centimeters. Using 3.14 for π, what is its volume?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.9 (RISE Mathematics Blueprint domain: Geometry / The Number System)
A funnel is a cone with a radius of 5 centimeters and a height of 12 centimeters. In terms of π, what is its volume?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.9 (RISE Mathematics Blueprint domain: Geometry / The Number System)
A line segment 9 units long is reflected across a line. How long is its image?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.1 (RISE Mathematics Blueprint domain: Geometry / The Number System)
A triangle has a vertex at (2, 6). The triangle is dilated by a scale factor of 3 with the center at the origin. Where is the image of that vertex?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.3 (RISE Mathematics Blueprint domain: Geometry / The Number System)
A triangle has sides of 9, 12 and 15 units. Is it a right triangle?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.6 (RISE Mathematics Blueprint domain: Geometry / The Number System)
A wire 29 feet long runs in a straight line from the top of a pole to a point on the ground 20 feet from its base. How tall is the pole?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.7 (RISE Mathematics Blueprint domain: Geometry / The Number System)
An exterior angle of a triangle measures 130°. One of the two remote interior angles measures 75°. What is the measure of the other remote interior angle?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.5 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Between which two consecutive whole numbers is √90?Utah Core State Standards for Mathematics, grade 8, Standard 8.NS.2 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Lines m and n are parallel, and a transversal crosses both. One of a pair of alternate interior angles measures 124°. What does the other measure?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.5 (RISE Mathematics Blueprint domain: Geometry / The Number System)
The point (4, 1) is rotated 180° about the origin. What are the coordinates of its image?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.3 (RISE Mathematics Blueprint domain: Geometry / The Number System)
The point (−7, 4) is reflected across the y-axis. What are the coordinates of its image?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.3 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Rectangle P is dilated by a scale factor of 2 and then translated to make rectangle Q. Which statement is true?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.4 (RISE Mathematics Blueprint domain: Geometry / The Number System)
The three angles of a triangle measure 39°, 83° and x°. What is the value of x?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.5 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Three of these numbers are irrational. Which one is rational?Utah Core State Standards for Mathematics, grade 8, Standard 8.NS.1 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Triangle A can be moved exactly onto triangle B by a reflection followed by a translation. What does this show about the two triangles?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.2 (RISE Mathematics Blueprint domain: Geometry / The Number System)
What is the distance between the points (−1, 3) and (4, 15)?Utah Core State Standards for Mathematics, grade 8, Standard 8.G.8 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Which fraction is equal to the repeating decimal 0.888…?Utah Core State Standards for Mathematics, grade 8, Standard 8.NS.1 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Which is √48 in simplest radical form?Utah Core State Standards for Mathematics, grade 8, Standard 8.NS.3 (RISE Mathematics Blueprint domain: Geometry / The Number System)
Statistics and Probability 9
A linear model for the cost of a taxi ride is y = 2.25x + 3, where x is miles and y is dollars. What does the 2.25 mean?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.3 (RISE Mathematics Blueprint domain: Statistics and Probability)
A linear model for the height of a candle in centimeters is h = 20 − 1.5t, where t is the hours it has burned. What height does the model give after 6 hours?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.3 (RISE Mathematics Blueprint domain: Statistics and Probability)
A scatter plot compares age with height. The points climb quickly at young ages and then flatten into a curve. Which describes the association?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.1 (RISE Mathematics Blueprint domain: Statistics and Probability)
A two-way table shows 40 students. Of the 25 who play a sport, 15 also play an instrument. Of the 15 who do not play a sport, 6 play an instrument. How many students play an instrument?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.4 (RISE Mathematics Blueprint domain: Statistics and Probability)
For which scatter plot is a straight line a reasonable model?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.2 (RISE Mathematics Blueprint domain: Statistics and Probability)
In a survey of 50 students, 20 walk to school, and 12 of those walkers are in grade 8. What is the relative frequency of grade 8 students among the walkers?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.4 (RISE Mathematics Blueprint domain: Statistics and Probability)
Most points on a scatter plot lie near a line, but one point sits far away from the rest. What is that point called?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.1 (RISE Mathematics Blueprint domain: Statistics and Probability)
On a scatter plot, as the hours of practice go up, the number of mistakes goes down. Which kind of association is this?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.1 (RISE Mathematics Blueprint domain: Statistics and Probability)
Two lines are drawn on one scatter plot. Line A passes close to most of the points. Line B is far from most of them. Which line is the better model?Utah Core State Standards for Mathematics, grade 8, Standard 8.SP.2 (RISE Mathematics Blueprint domain: Statistics and Probability)
How this list was compiled: Outline: Utah RISE Mathematics Blueprint, grade 8 (50 operational items; minimum and maximum percent for each domain), the document Math Blueprints on the Utah RISE portal, https://utahrise.org/resources (https://utahrise.org/content/contentresources/en/Math%20Blueprints.pdf), read 2026-10-10. Each question names the standard it practices in the Utah Core State Standards for Mathematics, Middle/Junior High, grade 8, linked from the Utah State Board of Education's page Utah Mathematics Standards, https://schools.utah.gov/curr/mathematics/core, read 2026-10-10. Test facts: RISE Testing: A Guide for Utah Families (June 2026) and Making Sense of RISE Scores (June 2026), linked from https://schools.utah.gov/assessment/assessments/rise, read 2026-10-10. The answers are arithmetic on the numbers in the question, each worked a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a RISE test, a released item, a training or sample test of the state or another practice test.
How it works
An unofficial Utah practice math test for grade 8 on the state's RISE blueprint: 50 questions, the blueprint's count of operational items. None comes from a RISE test or training test. Not affiliated with the Utah State Board of Education.
Read the full guide
What the grade 8 RISE math test covers
The blueprint sets a share for each of four domains, and this page keeps them. Geometry / The Number System is the largest, 34 to 40 percent: transformations, congruence and similarity, angle facts, the Pythagorean Theorem, volume, irrational numbers and radicals. Functions is 20 to 24 percent: rate of change, initial value and y = mx + b. Expressions and Equations is 20 to 24 percent: exponents, scientific notation, linear equations and systems. Statistics and Probability is 16 to 20 percent: scatter plots, linear models and two-way tables.
Three Utah standards to know
Utah's core standards for grade 8 include simplifying square roots (8.NS.3), solving inequalities and solving absolute value equations (8.EE.7). All three are practiced here, and each answer names its standard.
RISE follows the course, not the grade: a student enrolled in Secondary Mathematics I takes that test.
Questions and answers
How many questions are on the Utah grade 8 math test?
The RISE blueprint lists 50 operational items for grade 8 mathematics. The test is adaptive, so the blueprint calls its domain percentages targets and says each student's experience will vary.
Is the Utah RISE math test timed?
No. The State Board's guide for families says RISE assessments are not timed.
What is a passing score on the grade 8 RISE math test?
The state reports a scale score and one of four proficiency levels: Below Proficient, Approaching Proficient, Proficient or Highly Proficient. It gives no percent to pass, so a percent here is not a RISE result.
Does Utah have its own grade 8 math practice test?
The Utah RISE portal has training tests that let students try the tools, question types and navigation. The box under the questions links to them. This page is separate, unofficial practice.