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Quizzes > High School Quizzes > Mathematics

Ace the AMC 8 Practice Test

Sharpen AMC 8 test skills with dynamic quizzes

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting the challenging AMC8 Brain Buster math quiz for middle school students.

What is 7 + 5?
12
10
13
11
Adding 7 and 5 gives 12. This basic addition problem reinforces fundamental arithmetic skills.
What is the area of a square with a side length of 4?
16
8
12
10
The area of a square is calculated by squaring the side length, so 4 x 4 = 16. This problem reinforces basic geometric concepts.
Which fraction is equivalent to 3/6?
1/2
2/3
3/4
1/3
3/6 simplifies to 1/2 by dividing both numerator and denominator by 3. This question tests understanding of fraction simplification.
If a rectangle has a length of 5 and a width of 3, what is its perimeter?
16
15
17
18
The perimeter of a rectangle is calculated as 2 x (length + width), so 2 x (5 + 3) equals 16. This reinforces the concept of perimeter in basic geometry.
What is the value of 9 - 5?
4
3
5
6
Subtracting 5 from 9 gives 4. This is a basic subtraction problem aimed at reinforcing arithmetic skills.
What is the largest prime factor of 45?
3
5
7
9
The number 45 factors as 3 x 3 x 5, making its prime factors 3 and 5. Among these, 5 is the largest prime factor.
If 4x = 20, what is the value of x?
5
4
6
8
Dividing both sides of the equation 4x = 20 by 4 gives x = 5. This simple algebra problem reinforces solving linear equations.
What is the next number in the sequence: 2, 4, 8, 16, ... ?
32
24
20
18
The sequence doubles with each term, so multiplying 16 by 2 gives 32. This tests the ability to recognize and extend numerical patterns.
A triangle has angles of 35° and 65°. What is the measure of the third angle?
80°
70°
75°
90°
The sum of the angles in a triangle is always 180°. Subtracting 35° and 65° from 180° leaves 80° for the third angle.
If you double a number and then add 6, the result is 18. What is the original number?
6
8
5
7
Let the number be n. The equation 2n + 6 = 18 simplifies to 2n = 12, therefore n = 6. This problem reinforces basic algebraic problem solving.
What is the sum of the interior angles of a pentagon?
540°
360°
720°
480°
A pentagon has 5 sides, and the sum of its interior angles is calculated using the formula (n-2)*180°. For n = 5, this equals 540°.
Solve for y: 3y - 5 = 10.
5
3
4
6
Adding 5 to both sides gives 3y = 15, and dividing by 3 yields y = 5. This straightforward equation helps practice basic algebraic techniques.
What is the smallest positive multiple of 7 greater than 50?
56
49
63
42
Since 7 x 7 = 49 is not greater than 50, the next multiple, 7 x 8 = 56, is the smallest multiple above 50. This question tests understanding of multiples.
Which of the following represents the distributive property of multiplication over addition?
a(b + c) = ab + ac
a(b + c) = ab + c
a(b + c) = a + bc
a(b + c) = (a + b)(a + c)
The distributive property states that multiplication distributes over addition, meaning a(b + c) equals ab plus ac. This fundamental property is key in algebraic manipulations.
What is 25% of 60?
15
10
20
25
Since 25% means one-quarter, one-quarter of 60 is 15. This problem is designed to reinforce percentage calculations.
n is a positive integer greater than 10 for which n + 2 is divisible by 5 and n - 3 is divisible by 4. What is the smallest possible value of n?
23
13
18
33
The conditions imply that n ≡ 3 (mod 5) and n ≡ 3 (mod 4), leading to solutions of the form n = 3 + 20k. Since n must be greater than 10, the smallest solution is 23.
Consider the sequence defined by a₝ = 2 and aₙ₊₝ = 2aₙ + 1 for n ≥ 1. What is the value of a₃?
11
10
12
15
Starting with a₝ = 2, we compute a₂ as 2 × 2 + 1 = 5, and then a₃ as 2 × 5 + 1 = 11. This question tests understanding of recursive sequences.
Two angles of an isosceles triangle measure 70° each. What is the measure of the third angle?
40°
70°
50°
60°
The sum of the angles in a triangle is 180°. With two angles of 70°, the third angle must be 180° - 140° = 40°.
A circular garden is enlarged such that its radius is doubled. By what factor does the area increase?
4
2
3
8
The area of a circle is proportional to the square of its radius. Doubling the radius increases the area by a factor of 2², which is 4.
If the sum of the squares of two consecutive positive integers is 85, what are the integers?
6 and 7
7 and 8
5 and 6
4 and 5
Let the two consecutive integers be n and n+1. Setting up the equation n² + (n+1)² = 85 and solving yields n = 6, so the integers are 6 and 7.
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Study Outcomes

  1. Analyze complex problems to identify multiple solution strategies.
  2. Apply creative thinking skills to solve challenging math puzzles.
  3. Evaluate problem-solving methods to determine the most efficient approach.
  4. Develop critical reasoning skills through practice with varied mathematical concepts.

AMC 8 Practice Test Cheat Sheet

  1. Master the Pythagorean Theorem - This fundamental formula lets you find missing lengths in right triangles by showing that a² + b² = c². Practicing with different triangles helps sharpen your spatial reasoning. Soon, solving for the hypotenuse or a leg will feel like second nature. MathBrainy AMC 8 Practice
    2. MathBrainy AMC 8 Practice
  2. Understand Ratios and Proportions - Ratios compare values to describe relative sizes, while proportions assert that two ratios are equal. They're essential for tackling scaling puzzles and mixing problems. Master them, and you'll conquer everything from similar triangles to paint mixtures. MathBrainy AMC 8 Practice
    3. MathBrainy AMC 8 Practice
  3. Practice Counting and Probability - Dive into permutations, combinations, and basic probability to analyze how likely events are and count outcomes efficiently. From flipping coins to arranging objects, these skills unlock a world of contest problems. Regular drills will make you a combinatorics whiz. MathBrainy AMC 8 Practice
    4. MathBrainy AMC 8 Practice
  4. Familiarize Yourself with Coordinate Geometry - Plot points, calculate slopes, and use the distance formula to navigate the Cartesian plane confidently. These skills help you solve line intersection and midpoint problems in a snap. Visualization tools make this playful and intuitive. MathBrainy AMC 8 Practice
    5. MathBrainy AMC 8 Practice
  5. Review Basic Number Theory - Brush up on divisibility rules, prime factorization, and greatest common divisors to simplify complex calculations. Number theory often hides in unexpected contest questions, so get comfy with how numbers behave. Soon, modular arithmetic feels like a puzzle rather than a chore. MathBrainy AMC 8 Practice
    6. MathBrainy AMC 8 Practice
  6. Enhance Problem-Solving Strategies - Break big problems into smaller, bite-sized steps and look for patterns or shortcuts. Logical reasoning and creative approaches will become your best friends in a timed contest. Practice with varied problems to build a flexible toolkit you can rely on. MathBrainy AMC 8 Practice
    7. MathBrainy AMC 8 Practice
  7. Work on Time Management - The AMC 8 is ticking, so train yourself to gauge how long each problem should take. Develop quick decision-making skills to skip or flag tough questions and return later. Timed practice sessions boost both speed and accuracy. MathBrainy AMC 8 Practice
    8. MathBrainy AMC 8 Practice
  8. Study Past AMC 8 Problems - Reviewing previous years' questions reveals common themes and tricks. You'll get comfortable with the format and spot patterns that repeat year after year. Dive into real contest problems for authentic practice. MAA AMC 8 Sample Competition
    9. MAA AMC 8 Sample Competition
  9. Learn to Estimate and Approximate - Quick estimates can weed out wrong choices fast and help you check your work on the fly. Rounding and bounding keep your answers in a sensible range, saving precious time. Practice smart approximations to boost your confidence. MathBrainy AMC 8 Practice
    10. MathBrainy AMC 8 Practice
  10. Stay Positive and Confident - A winning mindset can turn challenges into opportunities. Believe in your preparation and tackle each question with determination. Celebrate small victories during practice to build momentum for exam day. MathBrainy AMC 8 Practice
    11. MathBrainy AMC 8 Practice
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