Number, Number Sense, Computation, and Estimation 9
A club grew from 120 members to 150 members. What is the percent increase?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.CE.1
A jacket has a regular price of $80. It is on sale for 25% off. What is the sale price?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.CE.1
A meal costs $40.00. The sales tax is 6%, and the customer leaves a 20% tip on the $40.00. What is the total?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.CE.1
Between which two consecutive natural numbers does the positive square root of 70 lie?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.NS.1
To which subsets of the real numbers does −8 belong?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.NS.2
Which list orders the numbers from least to greatest?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.NS.1
Which natural number is the best approximation of the positive square root of 30?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.NS.1
Which number is irrational?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.NS.2
Which number is the greatest?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.NS.1
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Measurement and Geometry 12
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?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.4
A cone and a cylinder have the same radius and the same height. The volume of the cylinder is 150 cubic centimeters. What is the volume of the cone?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.2
A cone has a radius of 3 centimeters and a height of 10 centimeters. What is its volume in terms of π?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.2
A patio is a rectangle 10 meters long and 6 meters wide with a semicircle attached to one 6-meter side. Using 3.14 for π, what is its area?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.5
A square-based pyramid has a base with sides of 6 inches and a height of 8 inches. What is its volume?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.2
A square-based pyramid has a base with sides of 10 centimeters and a slant height of 12 centimeters. What is its surface area?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.2
A vertex of a polygon is at (4, −3). The polygon is translated 5 units left and 2 units up. Where is the image of that vertex?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.3
A vertex of a triangle is at (−2, 5). The triangle is reflected over the x-axis. Where is the image of that vertex?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.3
The point (3, 1) is reflected over the y-axis and then translated 4 units down. Where is the final image?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.3
Two angles are supplementary. One measures 112°. What is the measure of the other?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.1
Two lines intersect. A pair of vertical angles measure (2x + 10)° and 70°. What is the value of x?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.1
Which set of side lengths forms a right triangle?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.MG.4
Probability, Statistics, Patterns, Functions, and Algebra 27
A bag holds 4 red tiles and 6 blue tiles. A tile is drawn, put back, and a second tile is drawn. What is the probability of drawing red and then blue?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.1
A bag holds 5 green marbles and 3 yellow marbles. Two marbles are drawn, and the first is not put back. What is the probability that both are green?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.1
A boxplot has a lower extreme of 20, a lower quartile of 30, a median of 42, an upper quartile of 50 and an upper extreme of 65. About what percent of the data lies between 30 and 50?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.2
A data set is 3, 5, 7, 8, 10, 12, 15. What is the interquartile range?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.2
A line passes through the points (0, 2) and (4, 10). Which equation describes it?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.3
A scatterplot shows that as the outdoor temperature rises, sales of hot chocolate fall. Which relationship does it show?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.3
A student wants to know the favorite sport of all students in a school and surveys only the basketball team. What is the problem with the data?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.2
A table of a linear function has x-values 0, 1, 2, 3 and y-values 5, 8, 11, 14. Which equation matches the table?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.3
A taxi ride costs $4.00 plus $2.50 for each mile. Which equation gives the cost y, in dollars, of a ride of x miles?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.3
A van can carry at most 1,200 pounds. The driver weighs 180 pounds, and each box weighs 60 pounds. Which inequality gives the number of boxes b the van can carry?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.5
How does the graph of y = 2x + 5 compare with the graph of y = 2x?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.3
Quiz scores in a class run from 70 to 90. One more score of 20 is added. How does the boxplot change?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.2
Tia has $50 and saves $15 each week. Sam has $110 and saves $5 each week. After how many weeks will they have the same amount?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.4
The total cost y, in dollars, of a gym membership after x months is y = 15x + 40. What does the 40 stand for?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.3
What are the slope and the y-intercept of the line y = −3x + 7?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.3
What is the domain of the function {(−2, 3), (0, 5), (4, 3), (7, 9)}?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.2
What is the solution of (2/3)x − 4 = 6?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.4
What is the solution of 4x − 7 = 2x + 9?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.4
What is the solution of 5x − 8 ≤ 2x + 7?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.5
What is the solution of −2x + 3 > 11?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.5
Which equation represents "five less than twice a number n is 21"?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.4
Which expression is equivalent to (1/2)(8x + 6) − x?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.1
Which expression is equivalent to 3(2x − 5) + 4x?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.1
Which pair of events is dependent?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.1
Which pair of quantities would most likely show no relationship on a scatterplot?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PS.3
Which relation is a function?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.2
Which value of x is in the solution set of 3x + 4 < 19?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 8, SOL 8.PFA.5
Forty-eight original questions for the grade 8 math SOL, Virginia's Standards of Learning test. This is unofficial practice written from the 2023 standards, with no released item among the questions. This site is not affiliated with the Virginia Department of Education.
Read the full guide
What the Virginia 8th grade math SOL practice test covers
More than half of the real test, 55 to 59 percent, is one reporting category: Probability, Statistics, Patterns, Functions, and Algebra. Expect multistep equations and inequalities, linear functions written as y = mx + b, domain and range, boxplots, scatterplots and dependent events. Measurement and Geometry is 23 to 25 percent: angle pairs, cones and pyramids, translations, reflections and the Pythagorean Theorem. Number, Number Sense, Computation, and Estimation is 16 to 20 percent: real numbers, square roots, discounts, tax, tips and percent change.
Standards and checks
Under each answer is its Standard of Learning, such as 8.PFA.4 for multistep equations. Every answer was checked a second time, and the arithmetic was worked again from the question's own numbers. Boxplots, scatterplots and figures are given in words.
In a probability question, look for the words "put back". Replacement decides whether two events are independent or dependent.
Questions and answers
Is there an 8th grade algebra SOL practice test?
The algebra on the grade 8 test is standards 8.PFA.1 to 8.PFA.5: expressions, functions, linear functions, and multistep equations and inequalities. This page has 18 questions on them. Virginia also gives a separate Algebra I SOL test with a blueprint of its own.
How many questions are on the 8th grade math SOL test?
Online, the test is computer adaptive: 44 items count toward the score and 5 more are field-test items. The paper version has 48 scored items and the same 5 field-test items.
What is a passing score on the 8th grade math SOL?
Scores run from 0 to 600. A 400 is the minimum for proficient and a 500 is advanced. Results are reported as Pass/Advanced, Pass/Proficient, Fail/Basic or Fail/Below Basic, so a percent on this page is not an SOL score.
Can you use a calculator on the 8th grade math SOL?
Yes. The blueprint says grade 8 items have the online Desmos Virginia Scientific calculator on the toolbar of the computer adaptive test.