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Quizzes > High School Quizzes > Mathematics

Free Printable Math Practice Quiz & Worksheets

Boost skills with online math quizzes and tests

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art illustrating the Free Math Quiz Frenzy for high school students to test their knowledge.

What is the sum of 3/4 and 1/4?
1
2
3/4
1/2
Both fractions have the same denominator, so add the numerators: 3 + 1 = 4, resulting in 4/4 which simplifies to 1. Thus, the correct answer is option B.
If y = 5, what is the value of 3y + 2?
17
15
12
20
Substitute y = 5 into the expression to get 3(5) + 2, which equals 15 + 2 = 17. This makes option B the correct answer.
What is the area of a rectangle with a length of 8 and a width of 3?
24
26
11
32
The area of a rectangle is calculated by multiplying its length by its width. Multiplying 8 by 3 gives 24, making option B the correct choice.
Which equation represents a line with a slope of 2 and a y-intercept of 3?
y = 2x - 3
y = x + 5
y = 2x + 3
y = 3x + 2
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. With a slope of 2 and a y-intercept of 3, the correct equation is y = 2x + 3.
What is the value of 2^3?
8
6
10
9
2^3 means 2 multiplied by itself three times: 2 x 2 x 2, which equals 8. This makes option B the correct answer.
Solve for x: 2x - 5 = 9.
9
7
14
5
Add 5 to both sides of the equation to get 2x = 14, then divide by 2 to find x = 7. Option A is the correct solution.
Simplify the expression: 6x - 2(3 - x).
6x + 6
8x - 6
6x - 6
8x + 6
First, distribute the -2 to get 6x - 6 + 2x, then combine like terms to arrive at 8x - 6. This shows that the correct answer is option B.
Solve for y: 3y/4 = 9.
12
15
18
9
Multiply both sides by 4 to get 3y = 36, then divide by 3 to obtain y = 12. This makes option B the correct answer.
If the ratio of boys to girls is 3:4 and there are 21 boys, how many girls are there?
24
21
35
28
Divide the number of boys (21) by 3 to find the multiplier, which is 7, then multiply 4 by 7 to get 28 girls. Option A is the correct answer.
What is the value of √144?
14
10
11
12
The square root of 144 is the number that, when multiplied by itself, gives 144. Since 12 x 12 equals 144, the correct answer is 12, making option C correct.
Solve the inequality: 2x + 3 > 7.
x ≤ 2
x > 2
x < 2
x ≥ 2
Subtract 3 from both sides to obtain 2x > 4, and then divide by 2 to find x > 2. This leads to option A being the correct answer.
What is the perimeter of a square with a side length of 5 units?
20
15
25
10
A square has four equal sides, so multiplying the side length (5) by 4 gives a perimeter of 20 units. This makes option B correct.
In the arithmetic sequence 5, 8, __, 14, what is the missing term?
13
10
12
11
The difference between the first two terms is 3, so adding 3 to 8 results in 11, which fits the sequence before reaching 14. Option B is the correct answer.
Find the value of the expression: (2^3) * (3^2).
54
64
72
96
Evaluate 2^3 to get 8 and 3^2 to get 9; multiplying these results yields 8 x 9 = 72. Thus, the correct answer is option B.
What is the slope of the line represented by the equation 2y = 4x + 6?
2
4
6
3
Divide the equation 2y = 4x + 6 by 2 to rewrite it in the slope-intercept form as y = 2x + 3. The coefficient of x, which is 2, represents the slope, making option A correct.
Solve the system of equations: 2x + y = 7 and x - y = 1.
x = 3, y = 2
x = 8/3, y = 5/3
x = 2, y = 3
x = 5/3, y = 8/3
Substitute x = y + 1 from the second equation into the first to obtain 2(y + 1) + y = 7, which simplifies to 3y = 5, yielding y = 5/3 and x = 8/3. Thus, option A is correct.
Solve the quadratic equation: x^2 - 5x + 6 = 0.
x = 2 and x = 3
x = 0 and x = 5
x = 1 and x = 6
x = -2 and x = -3
The quadratic factors into (x - 2)(x - 3) = 0, leading to the solutions x = 2 and x = 3. Therefore, option A is the correct answer.
If f(x) = 3x - 4, what is f(2x)?
6x + 4
6x - 4
3(2x - 4)
3x - 4
Substitute 2x into the function to get f(2x) = 3(2x) - 4, which simplifies to 6x - 4. Option A is the correct transformed expression.
Find the area of a triangle with a base of 10 units and a height of 6 units.
26
16
30
60
The area of a triangle is calculated using the formula 1/2 × base × height. Here, 1/2 × 10 × 6 equals 30, making option B the correct answer.
A car travels 150 miles in 3 hours. What is its average speed?
60 mph
45 mph
50 mph
55 mph
Average speed is calculated by dividing the total distance by the total time. Dividing 150 miles by 3 hours gives 50 mph, making option B the correct answer.
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Study Outcomes

  1. Understand fundamental mathematical concepts through targeted quizzes.
  2. Apply problem-solving techniques to diverse mathematical challenges.
  3. Analyze multi-step problems and determine efficient solution strategies.
  4. Evaluate approaches to improve accuracy in test-oriented scenarios.
  5. Demonstrate increased confidence in handling challenging math problems.

Math Quiz & Printable Worksheets Cheat Sheet

  1. Properties of Integer Exponents - Mastering rules like aᵝ × a❿ = aᵝ❺❿ and a❻❿ = 1/a❿ turns intimidating expressions into quick calculations. You'll breeze through computations by combining, flipping, and simplifying exponents without breaking a sweat. Core Standards: 8.EE
    2. thecorestandards.org
  2. Square & Cube Roots - Solving x² = p or x³ = p becomes second nature once you grasp principal roots and radical notation. This skill unlocks doors to quadratic and cubic challenges, ensuring you can handle everything from simple equations to complex word problems. Core Standards: 8.EE
    3. thecorestandards.org
  3. Graphing Proportional Relationships - Plotting y = kx and interpreting the unit rate as slope helps you compare ratios at a glance. You'll learn to draw perfect lines and extract real-world insights from graphs in no time. Core Standards: 8.EE
    4. thecorestandards.org
  4. Pythagorean Theorem - a² + b² = c² is your ticket to finding missing side lengths in right triangles, whether on paper or in the field. From surveying land to designing ramps, this theorem bridges abstract math with tangible results. Core Standards: 8.EE
    5. thecorestandards.org
  5. Volume Formulas for 3D Shapes - Memorize V=⅓πr²h, V=πr²h, and V=❴❄₃πr³ to tackle cones, cylinders, and spheres with ease. These formulas prepare you for architecture, engineering, and any real-world scenario involving space and capacity. Core Standards: 8.EE
    6. thecorestandards.org
  6. Scatter Plots & Data Analysis - Constructing and interpreting scatter plots lets you spot trends, clusters, and correlations at a glance. This visualization tool is a must-have for deconstructing data in science projects and statistics. Core Standards: 8.EE
    7. thecorestandards.org
  7. Laws of Exponents Deep Dive - Explore rules like (aᵝ)❿ = aᵝ❿, aᵝ / a❿ = aᵝ❻❿, and more to simplify any exponential expression effortlessly. These laws are your arsenal for conquering algebraic simplification and solving exponential equations. Cuemath: Class 8 Formulas
    8. cuemath.com
  8. Systems of Linear Equations - Solve pairs of equations by graphing, substitution, or elimination to find intersection points. Mastering these methods equips you to decode systems in economics, physics, and beyond. Core Standards: 8.EE
    9. thecorestandards.org
  9. Understanding Functions - Learn how to define, evaluate, and compare functions as rules that map inputs to outputs. This cornerstone concept underpins everything from simple calculators to advanced modeling in computer science. Core Standards: 8.Intro
    10. thecorestandards.org
  10. Geometric Transformations - Explore translations, rotations, reflections, and dilations to see how shapes move and scale. Recognizing these moves builds a foundation for higher-level geometry, art, and design projects. Maths Is Fun: Grade 8
    11. mathsisfun.com
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