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Quizzes > General Knowledge & Mixed

Free SOL Practice Test Online: Math Quiz with Answers

Quick, free math SOL practice test. Instant results and quick study links.

Editorial: Review CompletedCreated By: Jonathan SoppUpdated Aug 25, 2025
Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting a fast-paced SOL Prep Express trivia quiz for fifth graders

This math SOL practice test helps you check core skills and spot gaps in minutes. After you finish, you get instant answers, brief learning outcomes, and links for quick review. For more practice, try our math problem solving quiz or take a free gmas practice test.

What is 34 + 58?
92
100
86
94
The sum of 34 and 58 is 92 because adding the tens and ones separately gives the correct total. This basic addition reinforces fundamental number sense.
What is the difference between 105 and 47?
60
58
57
59
Subtracting 47 from 105 gives 58, which is the correct difference. This problem helps strengthen basic subtraction skills.
What is 6 x 7?
36
48
54
42
Multiplying 6 by 7 gives 42. This multiplication fact is essential for building strong arithmetic skills.
What is 56 ÷ 7?
8
10
9
7
Dividing 56 by 7 results in 8, which is the correct quotient. This division problem reinforces basic division concepts.
What is 25% of 80?
20
18
25
22
Calculating 25% of 80 involves multiplying 80 by 0.25, which equals 20. This problem reinforces the concept of percentages.
Convert 3/4 to its decimal form.
0.75
0.25
0.50
0.80
Dividing 3 by 4 yields 0.75, which is the correct conversion from a fraction to a decimal. This conversion skill is important for understanding different numerical representations.
What is the value of 3 + 4 x 2?
9
11
10
14
Following the order of operations, multiplication is performed before addition. Thus, 4 x 2 is 8 and adding 3 gives 11.
Solve for x: 2x = 16.
16
8
7
6
Dividing both sides of the equation 2x = 16 by 2 yields x = 8. This problem reinforces basic skills in solving linear equations.
What is the sum of 1/3 and 1/6?
1/2
2/3
1/3
1/4
Converting 1/3 to 2/6 allows the addition with 1/6, resulting in 3/6 which simplifies to 1/2. This problem demonstrates the process of finding common denominators for fraction addition.
If the ratio of cats to dogs is 3:5 and there are 15 cats, how many dogs are there?
30
15
25
20
When the ratio is 3:5, a scaling factor can be determined by dividing 15 by 3 which equals 5. Multiplying 5 by the second number in the ratio gives 25 dogs.
What is a 10% increase of 50?
50
45
55
60
A 10% increase on 50 is found by calculating 10% of 50, which is 5, and then adding it to 50. This results in a total of 55, emphasizing basic percentage increase.
What is the perimeter of a rectangle with a length of 8 and a width of 3?
24
18
22
26
The perimeter of a rectangle is calculated as 2 times the sum of its length and width. For dimensions 8 and 3, the perimeter is 2 x (8 + 3) = 22.
What is the area of a triangle with a base of 10 and a height of 5?
50
25
15
20
The area of a triangle is determined by the formula 1/2 x base x height. Applying this, 1/2 x 10 x 5 gives an area of 25.
What is 2 raised to the power of 3?
8
6
10
9
Raising 2 to the power of 3 means multiplying 2 by itself three times: 2 x 2 x 2 equals 8. This introduces the concept of exponents in mathematics.
Which fraction is equivalent to the decimal 0.125?
1/8
1/5
1/2
1/4
The decimal 0.125 is equivalent to 1/8 when expressed as a simplified fraction. Converting between fractions and decimals is a fundamental algebraic skill.
Solve for x: 3x - 5 = 2x + 7.
11
13
12
10
Subtracting 2x from both sides of the equation gives x - 5 = 7. Adding 5 to both sides results in x = 12, which is the correct solution.
Simplify the expression: (1/2) ÷ (3/4).
1/2
2/3
4/3
3/2
Dividing by a fraction is equivalent to multiplying by its reciprocal. Thus, (1/2) ÷ (3/4) becomes (1/2) x (4/3), which simplifies to 2/3.
If 5 pencils cost $2, how much do 8 pencils cost at the same rate?
$3.00
$3.20
$2.50
$4.00
First, find the cost per pencil by dividing $2 by 5, which equals $0.40. Multiplying this unit cost by 8 gives $3.20, the correct total cost.
What is the midpoint between the points (2, 3) and (8, 11)?
(4, 7)
(5, 7)
(6, 7)
(5, 8)
The midpoint is calculated by averaging the x-coordinates and the y-coordinates separately. For points (2, 3) and (8, 11), the midpoint is ((2+8)/2, (3+11)/2) which simplifies to (5, 7).
A right triangle has legs of lengths 6 and 8. What is the length of the hypotenuse?
11
10
8
9
Using the Pythagorean theorem, the hypotenuse is calculated as the square root of (6² + 8²), which is √(36 + 64) = √100 = 10. This problem emphasizes the application of the theorem in right triangles.
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Study Outcomes

  1. Understand key math concepts aligned with Virginia's Standards of Learning.
  2. Apply problem-solving strategies to complete practice quiz questions effectively.
  3. Analyze quiz performance to identify strengths and areas for improvement in math.
  4. Demonstrate mastery of foundational math skills through accurate quiz responses.
  5. Evaluate progress and build confidence for upcoming tests and exams.

SOL Practice Test Online Cheat Sheet

  1. Master the four basic operations - Practice addition, subtraction, multiplication, and division with whole numbers up to five digits. Challenge yourself with single-step and multi-step puzzles to keep things exciting. Building a strong foundation here will make everything else in math feel like a breeze.
  2. Understand fractions and decimals - Learn to convert between fractions and decimals, compare their sizes, and perform operations on them. Use fun visual models like pie charts and number lines to see how they really work. Mastering this skill will help you tackle real-world problems like cooking and budgeting.
  3. Explore prime and composite numbers - Investigate numbers up to 100 and practice breaking them down into prime factors like a detective solving a mystery. Discover patterns in primes and composites to sharpen your number sense. This skill boosts your confidence when you face divisibility challenges.
  4. Develop estimation strategies - Round numbers and use front-end or clustering methods to quickly guess sums, differences, products, and quotients. Testing your estimates helps you catch mistakes and saves time on tests. Treat estimation like a superpower that keeps your calculations in check.
  5. Learn to measure and convert metric units - Convert lengths, masses, and volumes between millimeters, centimeters, meters, liters, and grams with ease. Practice with everyday objects - measure your pencil or pour water into a measuring cup to see conversions in action. Being fluent in metric helps you ace science and cooking projects.
  6. Investigate right triangle properties - Explore the Pythagorean theorem and calculate the area of right triangles using half-base times height. Try drawing different sized triangles and check your answers with a ruler. Understanding these shapes lays the groundwork for more advanced geometry.
  7. Classify and measure angles - Spot right, acute, obtuse, and straight angles in the world around you, from book corners to open doors. Grab a protractor and measure angles accurately to level up your geometric precision. This practice will make complicated angle problems feel like child's play.
  8. Analyze data with plots - Create and read line plots and stem-and-leaf plots to organize data clearly. Use real-life examples like test scores or daily temperatures to make your plots meaningful. Interpreting these visuals helps you draw smart conclusions at a glance.
  9. Calculate measures of central tendency - Find the mean, median, and mode of data sets to summarize information quickly. Practice with fun surveys - like favorite ice cream flavors or game scores - to see these concepts in action. These skills help you spot trends and patterns in any set of numbers.
  10. Identify and extend numerical patterns - Recognize arithmetic and geometric patterns, then predict the next numbers like a math magician. Use variables to represent unknowns and write simple equations that describe these sequences. This algebraic foundation will open doors to advanced problem solving.
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