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Quizzes > High School Quizzes > Mathematics

Math Quiz Practice for All Learners

Practice engaging math quizzes for both kids and adults

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting Brainy Math Challenge, an interactive high school math quiz.

What is 7 x 8?
56
58
64
54
7 multiplied by 8 equals 56 because multiplication represents repeated addition. The other options are common errors when calculating simple multiplication.
What is the sum of 25 and 17?
43
42
40
45
Adding 25 and 17 gives 42 by combining the two numbers. This basic addition reinforces simple arithmetic skills.
Simplify 3/4 + 1/4.
2
1
1/2
3/4
Since the denominators are the same, add the numerators: 3 + 1 equals 4, resulting in 4/4 which simplifies to 1. The alternative choices do not correctly combine these fractions.
What is the smallest prime number?
2
4
3
1
The number 2 is the smallest prime number because it has exactly two distinct positive divisors: 1 and itself. Note that 1 is not considered a prime number.
What is the perimeter of a rectangle with a length of 5 and a width of 3?
18
16
20
15
The perimeter of a rectangle is calculated by adding the length and width and then multiplying by 2: 2*(5+3) equals 16. This reinforces the application of the perimeter formula.
Solve for x: 2x + 5 = 15.
15
7
10
5
Subtracting 5 from both sides gives 2x = 10, and dividing by 2 yields x = 5. This systematic approach isolates the variable correctly.
What is the area of a triangle with a base of 10 and a height of 6?
60
15
30
20
The area of a triangle is given by the formula 1/2 × base × height. Plugging in the provided numbers results in (1/2)*10*6 = 30.
What is 20% of 150?
35
25
20
30
Multiplying 150 by 20% (or 0.20) yields 30. This problem illustrates the application of percentage calculations.
Solve for y: 3y - 4 = 11.
7
15
3
5
Adding 4 to both sides results in 3y = 15, and dividing by 3 gives y = 5. This reinforces the method of solving simple linear equations.
Factor the expression: x² + 5x + 6.
(x+2)(x+3)
(x+1)(x+6)
(x+2)(x+4)
(x+1)(x+5)
The expression factors into (x+2)(x+3) because the numbers 2 and 3 multiply to 6 and add to 5. This problem focuses on recognizing the correct factors of a quadratic.
What is the slope of the line passing through the points (2, 3) and (8, 15)?
3
2
4
6
The slope is calculated as (15 - 3) ÷ (8 - 2) = 12 ÷ 6, which simplifies to 2. This reinforces the concept of slope as the rate of change between two points.
Solve the equation: 4(x - 2) = 2x + 8.
6
8
10
4
Expanding the left side gives 4x - 8. Setting it equal to 2x + 8 and solving for x results in x = 8. This question demonstrates the importance of distributing and combining like terms.
What is the value of √64?
8
4
16
6
The square root of 64 is 8 because 8 × 8 equals 64. This problem tests basic knowledge of square roots.
If a = 3 and b = 4, what is a² + b²?
16
25
12
49
Calculating a² gives 9 and b² gives 16; their sum is 25. This reinforces the concept of exponents and addition of squares.
Solve: 5 - (2x + 3) = -2x.
No solution
x = 1
x = -1
Infinite solutions
After simplifying the left side, the variable terms cancel out, leaving a false statement (2 = 0), which means there is no solution. This highlights the importance of checking for contradictions in equations.
Solve for x in the equation: (x/2) + (x/3) = 5.
7
6
8
5
Multiplying the entire equation by 6, the least common multiple of 2 and 3, yields 5x = 30, so x = 6. This illustrates how eliminating fractions simplifies solving an equation.
The sum of the interior angles of a polygon is 900°. How many sides does the polygon have?
8
7
9
6
Using the formula for the interior angle sum, (n - 2) × 180 = 900, we find that n - 2 = 5, so n = 7. This problem applies polygon angle sum properties to determine the number of sides.
If the probability of rain on any day is 0.3, what is the probability it will rain exactly twice in a 5-day period?
0.4410
0.3600
0.1323
0.3087
This problem uses the binomial probability formula: C(5,2) × (0.3)² × (0.7)³, which approximates to 0.3087. The computation shows how combinations and probability interplay in binomial distribution problems.
Solve for x: 2^(x+1) = 16.
5
2
4
3
Since 16 can be written as 2^4, setting the exponents equal gives x + 1 = 4, and therefore x = 3. This question tests understanding of exponential equations and properties of exponents.
A rectangle's length is twice its width. If its area is 72, what is the perimeter of the rectangle?
24
40
30
36
Let the width be w, then the length is 2w. The area is given by 2w² = 72, so w = 6 and the length is 12. Thus, the perimeter is 2*(6+12) = 36, demonstrating the integration of algebra and geometry.
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Study Outcomes

  1. Understand and reinforce key mathematical concepts through interactive quiz exercises.
  2. Apply problem-solving strategies to tackle a variety of math challenges.
  3. Analyze mathematical problems to identify underlying principles and solution methods.
  4. Evaluate solutions critically to ensure accuracy and logical consistency.
  5. Demonstrate improved mathematical reasoning and test readiness through practice.

Math Quiz for Kids: Practice Q&A Cheat Sheet

  1. Master the Laws of Exponents - Dive into exponent rules like a❿ × aᵝ = a❿❺ᵝ and power yourself up to simplify huge expressions in no time. Experiment with negative exponents and zero powers to see how everything clicks into place. Core Standards: Expressions & Equations
  2. Work with Square and Cube Roots - Get hands‑on by evaluating √ of perfect squares and ∛ of perfect cubes, then challenge yourself with equations like x² = p and x³ = p. Learn when roots produce positive and negative solutions and how to express them neatly. Core Standards: Expressions & Equations
  3. Understand Rational and Irrational Numbers - Sort out which numbers can be fractions (rational) and which refuse neat ratios (irrational), then approximate π or √2 with decimals. Embrace decimal expansions and see patterns - some repeat forever, others never do! Core Standards: Expressions & Equations
  4. Solve Linear Equations - Practice isolating x in equations loaded with integers and fractions to uncover one solution, no solution, or infinite answers. Build confidence by checking each step and seeing how algebraic balance keeps your work solid. Core Standards: Expressions & Equations
  5. Analyze Systems of Linear Equations - Tackle pairs of equations using substitution, elimination, or graphing to find that breakthrough point. Apply these techniques to real‑world puzzles like mixing solutions or budgeting time - and watch how math shapes your world! Core Standards: Expressions & Equations
  6. Grasp the Concept of Functions - Think of functions as magical machines that take an input, do some math, and produce an output. Practice plugging in values, comparing function rules, and using f(x) models to predict real‑life scenarios. Core Standards: Introduction to Functions
  7. Understand Congruence and Similarity - Use physical models or digital tools to explore when shapes match exactly (congruent) versus when they share the same shape but differ in size (similar). Apply these ideas to art, architecture, and problem‑solving challenges. Core Standards: Introduction to Geometry
  8. Apply the Pythagorean Theorem - Measure right triangles, plug legs into a² + b² = c², and solve for that elusive hypotenuse or missing leg. Then level up by calculating distances between two points on a grid - your inner Euclid will thank you! Core Standards: Introduction to Geometry
  9. Calculate Volumes of 3D Shapes - Memorize and use formulas like V = πr²h for cylinders, V = ¹❄₃πr²h for cones, and V = ❴❄₃πr³ for spheres. Tackle word problems that involve filling tanks, baking domes, or packing cannonballs! Core Standards: Introduction to Geometry
  10. Interpret Scatter Plots - Plot bivariate data on a coordinate grid to spot positive, negative, or no correlation. Practice drawing trend lines, making predictions, and explaining how two quantities dance together in real‑world contexts. Core Standards: Introduction to Data Analysis
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