Number, Number Sense, Computation, and Estimation 13
A ratio table shows 3 cups of rice for 4 servings and 9 cups for 12 servings. How many cups make 20 servings?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.2
Lena buys 2 1/2 pounds of apples at $1.80 a pound and pays with a $10 bill. How much change does she get?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.1
One mile is about 1.6 kilometers. About how many kilometers is a 5-mile run?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.2
Solve the proportion 5/8 = n/40.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.2
The temperature was −6°F and then fell 9 degrees more. What is the temperature now?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.1
What is 3.2 × 10⁴ in standard form?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.NS.1
What is 10⁻² written as a decimal?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.NS.1
Show all 50 questions (43 more)
Number, Number Sense, Computation, and Estimation, continued
What is 15% of 140?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.2
What is the positive square root of 289?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.NS.3
What is −7/8 ÷ 7/16?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.CE.1
Which is 0.0057 written in scientific notation?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.NS.1
Which list is ordered from least to greatest?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.NS.2
Which of these numbers in scientific notation is the greatest?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.NS.1
Measurement and Geometry 12
A rectangle has a perimeter of 40 cm, and one side is 12 cm long. How long is each adjacent side?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.3
A rectangular prism is 7 in by 3 in by 2 in. What is its surface area?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.1
A right cylinder has a radius of 2 cm and a height of 7 cm. What is its volume, in terms of π?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.1
A right cylinder has a radius of 3 cm and a height of 5 cm. What is its surface area, in terms of π?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.1
A scale drawing uses 1 inch for 8 feet. A room is 2.5 inches long in the drawing. How long is the real room?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.2
A triangle has a vertex at (4, −2). The triangle is dilated by a scale factor of 3 with the origin as its center. Where is the image of that vertex?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.4
The height of a rectangular prism is multiplied by 3, and its length and width stay the same. What happens to the volume?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.1
In a parallelogram, one angle measures 70°. What is the measure of the opposite angle?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.3
Mia wants to know how much wrapping paper will cover a box. Which measure does she need?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.1
Triangle ABC is similar to triangle DEF. AB = 6, DE = 9 and BC = 8. What is the length of EF?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.2
Which property does every rhombus have?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.3
Which quadrilateral has exactly one pair of parallel sides?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.MG.3
Probability, Statistics, Patterns, Functions, and Algebra 25
A bag holds 5 red, 3 blue and 2 green cubes. What is the theoretical probability of drawing a blue cube?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.1
A fair coin is flipped many times. As the number of flips grows, what tends to happen to the experimental probability of heads?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.1
A histogram of ages uses intervals 10 years wide. It is redrawn with intervals 5 years wide. What changes?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.2
A histogram of test scores has bars for 60 to 69 (4 students), 70 to 79 (9 students), 80 to 89 (12 students) and 90 to 99 (5 students). How many students scored 80 or higher?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.2
A line on a graph is horizontal. What is its slope?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.1
A line passes through the origin and has a slope of 3. Which point is on the line?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.1
A phone plan costs $20 a month plus $0.10 for each text. Ben's bill was $26.50. Which equation finds the number of texts t?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.3
A student flips a bottle cap 50 times, and it lands face up 20 times. What is the experimental probability that it lands face up?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.1
A table shows x = 2, 4, 6 and y = 10, 20, 30. Which equation shows this proportional relationship?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.1
A taxi charges $3 plus $2 a mile. A ride costs $17. How many miles was the ride?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.3
A town of 9,000 people wants to know whether residents favor a new park. Which sample is most likely to represent the town?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.2
Apples cost $1.50 a pound. In y = mx, where y is the cost in dollars of x pounds, what is the slope m?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.1
Ava needs at least $60. She has $18 and earns $7 an hour. Which inequality gives the hours h she must work?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.4
Evaluate 2a² − b when a = 3 and b = −4.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.2
Simplify 3 + 2 × 4² − 5.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.2
Simplify 5x + 3 − 2x + 7.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.2
Simplify |−8| + √36 ÷ 3.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.2
Solve 2x + 5 > 13.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.4
Solve 3x + 4 = 19.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.3
Solve −3x ≤ 12.Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.4
The theoretical probability of rolling a 4 on a number cube is 1/6. Sam rolls 12 times and gets three 4s. Which statement is true?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.1
When both sides of an inequality are divided by a negative number, what must happen?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.4
Which expression is equivalent to 2(3x − 4) + x?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.2
Which graph best shows how the parts of a monthly budget compare with the whole budget?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PS.2
Which value is in the solution set of 4x − 1 < 11?Virginia Department of Education, 2023 Mathematics Standards of Learning, Grade 7, SOL 7.PFA.4
Unofficial practice for Virginia's grade 7 mathematics Standards of Learning (SOL) test. The questions were written for this site from the 2023 standards, and none is a released item. Not affiliated with the Virginia Department of Education.
Read the full guide
What the Virginia 7th grade math SOL practice test covers
Virginia's blueprint has three reporting categories, and the questions here keep their shares. Probability, Statistics, Patterns, Functions, and Algebra is about half of the test: probability, histograms, slope and y = mx, expressions, two-step equations and inequalities. Number, Number Sense, Computation, and Estimation is 25 to 30 percent: powers of ten, scientific notation, square roots, rational numbers and proportions. Measurement and Geometry is 20 to 25 percent: cylinders, surface area, similar figures, quadrilaterals and dilations.
How the answers are checked
Each answer names the Standard of Learning it practices, such as 7.PFA.3 for two-step equations, and was worked out a second time from the question's own numbers. Graphs and figures on the real test are described here in words.
Scientific notation, comparing rational numbers and square roots are tested without a calculator. Practice them by hand.
Questions and answers
Is there a Virginia SOL practice test for advanced 7th grade math?
The blueprint describes one grade 7 mathematics test. Online it is computer adaptive, so the questions adjust to how a student answers. Advanced is a score level: a scaled score of 500 on the 0 to 600 scale.
How many questions are on the 7th grade math SOL test?
The online adaptive test has 44 items that count and 5 field-test items that do not. The paper test has 48 that count, plus 5 field-test items.
What is a passing score on the 7th grade math SOL?
SOL results are scaled scores from 0 to 600, and 400 is the lowest score at the proficient level. A percent on this page is practice and is not a scaled score.
Can you use a calculator on the 7th grade math SOL?
On most items. Calculator-active items come with the Desmos Virginia Scientific calculator. On the online test, 3 to 5 number sense items and 1 to 3 algebra items are assessed without one.