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Quizzes > High School Quizzes > Mathematics

8th Grade Math Practice Quizzes

Sharpen your math skills with online quizzes

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting 8th Grade Math Challenge, a dynamic practice quiz.

What is 1/2 + 1/3?
1
5/6
4/5
2/5
To add fractions, convert them to have a common denominator. Here, 1/2 becomes 3/6 and 1/3 becomes 2/6, so their sum is 5/6.
Solve for x: 3x = 12.
3
6
2
4
Dividing both sides of the equation by 3 yields x = 12/3, which simplifies to 4.
What is 10% of 200?
10
200
2
20
Calculating 10% of a number involves multiplying it by 0.10. Thus, 0.10 - 200 equals 20.
What is the perimeter of a rectangle with a length of 5 and a width of 3?
8
10
16
15
The perimeter of a rectangle is calculated as 2 - (length + width). Here, 2 - (5 + 3) equals 16.
Which fraction is equivalent to 0.75?
3/4
2/3
1/4
1/2
0.75 can be written as 75/100, which simplifies to 3/4 when both numerator and denominator are divided by 25.
What is the solution for x in the equation 2x + 5 = 17?
5
7
6
8
Subtract 5 from both sides to obtain 2x = 12, then dividing by 2 gives x = 6.
Solve for x in the equation 3(x - 2) = 15.
5
8
7
9
Expanding the equation yields 3x - 6 = 15. Adding 6 to both sides gives 3x = 21, so x = 7.
Which property is demonstrated by the equation a(b + c) = ab + ac?
Associative property
Distributive property
Commutative property
Identity property
This equation shows that multiplication distributes over addition, which is known as the distributive property.
What is the midpoint of the segment joining the points (2, 4) and (6, 8)?
(4, 5)
(3, 7)
(3, 6)
(4, 6)
The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2). Using the given points, the midpoint is (4, 6).
Simplify the fraction 14/21.
2/3
3/4
4/7
1/2
Both the numerator and denominator are divisible by 7. Dividing each by 7 simplifies 14/21 to 2/3.
What is the slope of a line passing through the points (1, 2) and (3, 6)?
2
4
3
1
The slope is calculated by taking the difference in y-values divided by the difference in x-values. Here, (6 - 2) / (3 - 1) equals 2.
Evaluate the expression (3^2)^3.
81
216
243
729
When raising a power to another power, multiply the exponents: (3^2)^3 equals 3^(2 - 3) which is 3^6, and 3^6 is 729.
Simplify the radical expression √49.
7
49
6
8
The square root of 49 is 7 because 7 multiplied by 7 equals 49.
What is the result of 2 + 3 - 4 following the order of operations?
20
14
12
10
According to the order of operations, multiplication is performed before addition. Thus, 3 - 4 equals 12 and adding 2 gives 14.
Solve for x in the equation 2(x + 3) = 3(x - 2).
9
15
12
6
Expanding the equation results in 2x + 6 = 3x - 6. Subtracting 2x from both sides and then adding 6 yields x = 12.
If the ratio of boys to girls is 3:4 and there are 28 girls, how many boys are there?
24
18
21
27
The ratio 3:4 means there are 3 parts boys for every 4 parts girls. Dividing 28 by 4 gives 7 per part, and 3 - 7 equals 21 boys.
A bag contains 5 red, 7 blue, and 8 green marbles. What is the probability of drawing a blue marble?
8/20
1/2
7/20
5/20
The total number of marbles is 5 + 7 + 8 = 20, and there are 7 blue marbles. Therefore, the probability is 7/20.
Solve the system of equations: x + y = 10 and x - y = 2.
x = 5, y = 5
x = 6, y = 4
x = 7, y = 3
x = 4, y = 6
Adding the two equations eliminates y, yielding 2x = 12 which means x = 6. Substituting back gives y = 4.
Simplify the expression: 3(2x - 4) - 2(x - 1).
4x - 10
4x + 10
4x - 2
5x - 10
Distribute to obtain 6x - 12 and -2x + 2; combining like terms results in 4x - 10.
What is the area of a triangle with a base of 8 and a height of 5?
26
20
15
40
Using the formula for the area of a triangle, which is 1/2 - base - height, we calculate 0.5 - 8 - 5 to obtain 20.
0
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Study Outcomes

  1. Understand and apply key 8th-grade math concepts to solve linear equations and inequalities.
  2. Analyze and solve problems involving fractions, decimals, and percentages.
  3. Evaluate geometric relationships and properties by applying measurement and spatial reasoning.
  4. Apply statistical and probability concepts to interpret data and predict outcomes.
  5. Demonstrate problem-solving skills by breaking down complex multi-step math problems.

Online Math Quizzes for 8th Graders Cheat Sheet

  1. Master the Pythagorean Theorem - Discover why a² + b² = c² always works for right triangles and how to use it for finding missing sides in any problem. It's like having a secret decoder ring for geometry puzzles, giving you instant results. Practice with real-world triangles and see the magic unfold! Pythagorean Theorem Guide
  2. Understand Linear Equations - Learn to twist and turn y = mx + b by adjusting the slope (m) and y‑intercept (b) until your line matches the data. It's as simple as sliding a filter to fit any straight path. Soon you'll predict and graph lines like a boss! 8th Grade Math Resources
  3. Grasp Functions and Their Representations - Think of functions as magical machines: each x you feed in produces exactly one y out. Decode tables, graphs, and rules to predict outputs without breaking a sweat. This skill unlocks doors to algebra and beyond! 8th Grade Function Tutorials
  4. Explore Transformations in Geometry - Translate, rotate, reflect, and dilate shapes to see how figures dance across the coordinate plane. These moves help you prove congruence, create mirror-image art, and master spatial reasoning. Play with transformations and watch your shapes come alive! Geometry Transformations Guide
  5. Apply the Properties of Exponents - Conquer exponent laws like a❰ = 1 and a❿ × aᵝ = a❿❺ᵝ to simplify giant numerical expressions in a flash. These tricks banish heavy lifting from your homework and power up your calculations. Get ready to impress with lightning-fast work! 8th Grade Exponents
  6. Work with Scientific Notation - Tame gargantuan or tiny numbers by rewriting them as a × 10❿, so you never lose track of zeros again. Whether you're counting stars or cells, this notation keeps things neat and manageable. It's like a universal shortcut for big‑number problems! 8th Grade Scientific Notation
  7. Analyze Bivariate Data - Plot scatter graphs to spot trends, clusters, and outliers when two variables meet. Learn the difference between correlation and causation so your data insights stand strong in any debate. Soon you'll read charts like a true detective! 8th Grade Data Analysis
  8. Calculate Volumes and Surface Areas - Memorize formulas for cylinders, cones, and spheres to tackle real-world tasks like filling tanks or wrapping gifts. Geometry jumps off the page when you see how shapes occupy space in the world around you. Build your toolkit and solve everyday puzzles! 8th Grade Geometry Help
  9. Understand Congruence and Similarity - Use transformations to prove when shapes are congruent (identical) or similar (same shape, different size). These concepts are the foundation of geometric proofs and design. Become a master architect of shapes in a flash! 8th Grade Similarity & Congruence
  10. Solve Systems of Equations - Tackle pairs of equations using graphing, substitution, and elimination to find their intersection point. This triple-threat approach turns complex problems into step‑by‑step victories. You'll be mixing drinks and balancing budgets like a pro! 8th Grade Systems Solver
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