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Quizzes > High School Quizzes > Mathematics

Quiz Math Practice Test

Enhance your skills with mathematics, mathematique, and maths quizzes

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting trivia for Math Mastery Quest for middle to high school students.

What is the value of 7 + 5?
13
12
11
10
Adding 7 and 5 results in 12. This basic arithmetic problem reinforces the fundamental concept of addition.
Simplify: 3(2 + 4).
12
10
14
18
First, compute the sum inside the parentheses: 2 + 4 equals 6, then multiply by 3 to get 18. This question practices the order of operations.
Which fraction is equivalent to 1/2?
1/4
4/5
2/4
3/4
Multiplying the numerator and denominator of 1/2 by the same number gives an equivalent fraction, such as 2/4. This reinforces the concept of equivalent fractions.
What is 20% of 50?
10
15
12
20
Twenty percent is equivalent to 0.2, and 0.2 multiplied by 50 equals 10. This question tests basic percentage calculations.
What is the area of a rectangle with a length of 5 and a width of 3?
18
15
10
8
The area of a rectangle is calculated by multiplying its length by its width, so 5 multiplied by 3 equals 15. This reinforces the concept of area computation.
Solve for x: 2x + 3 = 11.
5
4
3
2
Subtract 3 from both sides to obtain 2x = 8, and then divide both sides by 2 to get x = 4. This problem reinforces the basics of solving linear equations.
Which of the following expressions is equivalent to 4(x - 2)?
x - 8
4x + 2
4x - 8
4x - 2
Distribute 4 across the terms inside the parentheses: 4 times x is 4x and 4 times -2 is -8, resulting in 4x - 8. This problem tests the distributive property in algebra.
What is the greatest common factor (GCF) of 18 and 24?
6
2
4
8
The number 6 is the largest number that divides both 18 and 24 without a remainder. This problem reinforces the understanding of factors and common factors.
If the ratio of boys to girls in a class is 3:4, what fraction of the class are girls?
3/4
4/7
3/7
4/3
The total parts in the ratio are 3 + 4 = 7, and the girls' portion is 4 parts, making the fraction 4/7. This reinforces the concept of ratios and fractions.
Simplify the expression: 5x - 2x + 7.
2x + 7
3x - 7
7x + 7
3x + 7
Combine like terms by subtracting 2x from 5x, which gives 3x, and then add the constant 7. This exercise tests skills in simplifying algebraic expressions.
Evaluate: 3² + 4².
20
25
24
16
Compute 3 squared (9) and 4 squared (16), then add them together to obtain 25. This also relates to the familiar 3-4-5 Pythagorean triple.
What is the median of the set: {3, 7, 9, 15, 21}?
21
15
7
9
When the set is ordered, the values are 3, 7, 9, 15, 21, and the middle value is 9. This problem emphasizes finding the median in a data set.
Which point is the midpoint of the segment connecting (2, 3) and (8, 7)?
(5, 5)
(6, 6)
(4, 5)
(5, 6)
The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2), which yields (5, 5) for the given coordinates. This reinforces concepts in coordinate geometry.
Solve the equation: 3(x - 4) = 2x + 1.
12
9
13
-13
Expanding the equation gives 3x - 12 = 2x + 1; subtracting 2x from both sides leads to x - 12 = 1 and then x = 13. This tests algebraic manipulation and equation solving.
Determine the area of a triangle with a base of 10 units and a height of 6 units.
60
20
30
16
The area of a triangle is calculated using the formula 1/2 × base × height, resulting in 30 square units. This reinforces the practical use of area formulas in geometry.
Solve the system of equations: 2x + y = 10 and x - y = 2.
(2, 4)
(4, 2)
(4, 6)
(6, 2)
Solve the second equation for x to get x = y + 2 and substitute into the first equation, yielding y = 2 and then x = 4. This method demonstrates solving systems of linear equations using substitution.
If f(x) = 2x² - 3x + 1, what is f(3)?
12
9
10
8
Substitute x = 3 into the function: f(3) = 2(3²) - 3(3) + 1 = 18 - 9 + 1, which equals 10. This checks the ability to evaluate functions correctly.
What is the solution set for the inequality 2x - 5 > 3?
x < -4
x > 4
x < 4
x ≥ 4
Add 5 to both sides to obtain 2x > 8, and then divide by 2 to get x > 4. This problem emphasizes solving linear inequalities.
If the perimeter of a square is 36 units, what is its area?
36
81
9
100
The side length of the square is 36/4 = 9 units, so the area is 9² which equals 81 square units. This problem connects concepts of perimeter and area for squares.
A cylinder has a radius of 3 units and a height of 10 units. What is its lateral surface area (excluding the top and bottom)?
90π
60π
120π
30π
The lateral surface area of a cylinder is calculated using the formula 2πrh; substituting r = 3 and h = 10 gives 2π x 3 x 10 = 60π. This tests the application of geometric formulas.
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Study Outcomes

  1. Analyze and solve multi-step arithmetic problems using basic operations.
  2. Apply problem-solving strategies to identify strengths and weaknesses in various math concepts.
  3. Evaluate algebraic expressions and equations for accuracy and understanding.
  4. Interpret word problems to extract essential information and form effective solutions.
  5. Synthesize learned math principles to build confidence and prepare for upcoming assessments.

Math Quiz: Practice Test & Review Cheat Sheet

  1. Master the laws of exponents - Exponents are your secret weapon for simplifying giant expressions. Practice rules like 3² × 3❻❵ to see how negative powers flip into fractions. Soon you'll tackle any power problem in seconds! thecorestandards.org
  2. Understand square and cube roots - Roots let you unravel equations such as x² = p or x³ = p by "undoing" powers. Visualize roots as the reverse of exponents to make them click instantly. This skill powers up everything from geometry to physics! thecorestandards.org
  3. Learn scientific notation - Handling super big or super small numbers is easy with scientific notation. Convert the U.S. population to 3 × 10❸ or the size of a virus to 1 × 10❻❶ and watch how neat your work looks. It's a must-have for science and engineering heroes! thecorestandards.org
  4. Practice solving linear equations - Linear equations in one variable are everywhere, from budget spreadsheets to game scores. Master the distributive property and rational coefficients to solve for x in a flash. You'll feel like a codebreaker unlocking hidden solutions! thecorestandards.org
  5. Explore systems of equations - Systems of two lines intersect at a single point - your golden solution! Tackle them graphically by sketching lines or algebraically with substitution and elimination. Crack these puzzles, and you'll see how math connects everything around you. thecorestandards.org
  6. Apply the Pythagorean Theorem - a² + b² = c² is the magical formula for right triangles. Calculate missing side lengths in construction, design, or even treasure maps. It's your passport to geometry greatness! mathsisfun.com
  7. Calculate volumes of solids - From cylinders to cones and spheres, volume formulas help you measure capacity and space. Learn V = πr²h for cylinders or 4/3 πr³ for spheres to impress in science class. Modeling 3D shapes just got a lot more fun! mathsisfun.com
  8. Interpret scatter plots - Scatter plots are treasure maps for data, revealing trends, clusters, and outliers. Spot positive or negative associations and predict real‑world behavior like stock prices or weather patterns. Become a data detective with every chart! mathsisfun.com
  9. Master properties of rational numbers - Additive inverses (like +5 and - 5) and multiplicative inverses (like 1/3 and 3) keep arithmetic balanced. Play with these properties to simplify fractions and solve equations neatly. It's the foundation of algebraic fluency! geeksforgeeks.org
  10. Familiarize with algebraic identities - Identities such as (a + b)² = a² + 2ab + b² speed up expansion and simplification. Memorize them and see your homework time shrink instantly. They're the magic shortcuts of algebra! cuemath.com
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