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Quizzes > High School Quizzes > Mathematics

Ace Your ATAS Math Practice Test

Prepare confidently with engaging practice challenges

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting the Atas Math Challenge trivia for high school students.

What is the sum of 7 and 5?
12
11
13
10
Adding 7 and 5 results in 12. This basic arithmetic addition confirms the correct answer is 12.
Simplify the expression: 2(3) + 4.
10
8
12
14
First, multiply 2 by 3 to get 6, then add 4 to arrive at 10. Thus, the simplified result is 10.
Which fraction is equivalent to 1/2?
2/4
3/4
1/3
2/3
The fraction 2/4 simplifies to 1/2 when both numerator and denominator are divided by 2. Therefore, 2/4 is equivalent to 1/2.
What is the product of 3 and 4?
12
9
10
14
Multiplying 3 by 4 gives 12, which is the correct product. This question reinforces basic multiplication skills.
If you have 10 apples and give away 3, how many apples remain?
7
8
6
5
Subtracting 3 from 10 leaves 7 apples. This simple subtraction problem confirms that the answer is 7.
Solve for x: 2x + 5 = 15.
5
10
7
15
Subtract 5 from both sides to get 2x = 10, then divide by 2 to find x = 5. This straightforward linear equation confirms the answer.
Simplify the expression: 3(2+4) - 6.
12
6
18
15
First, add 2 and 4 to obtain 6, then multiply by 3 to get 18, and finally subtract 6 to result in 12. This confirms the correct answer is 12.
What is 10% of 200?
20
10
30
25
10% represents one-tenth of a number, and one-tenth of 200 is 20. Hence, the correct answer is 20.
Find the median of the set: {3, 7, 9, 4, 6}.
6
7
4
9
When the set is arranged in order (3, 4, 6, 7, 9), the median, or middle number, is 6. Therefore, the correct answer is 6.
Convert the decimal 0.75 to a fraction in simplest form.
3/4
1/2
3/5
4/5
The decimal 0.75 is equivalent to 75/100, which simplifies to 3/4 when both numerator and denominator are divided by 25. Thus, the correct fraction is 3/4.
Calculate the area of a rectangle with a length of 8 and a width of 3.
24
11
26
28
The area of a rectangle is computed by multiplying its length by its width. Here, 8 multiplied by 3 gives 24, making it the correct answer.
In a ratio of red to blue marbles of 3:5, if there are 30 blue marbles, how many red marbles are there?
18
15
20
12
The ratio 3:5 indicates that for every 5 blue marbles, there are 3 red marbles. With 30 blue marbles, each part equals 6, so there are 3 times 6, which is 18 red marbles.
What is the solution to the equation: 4x - 8 = 0?
2
0
4
8
Adding 8 to both sides of the equation gives 4x = 8, and dividing by 4 results in x = 2. This confirms that the correct solution is 2.
Evaluate the expression: 5^2 - 3^2.
16
8
9
12
Calculating 5 squared gives 25 and 3 squared gives 9; subtracting 9 from 25 results in 16. Thus, the correct answer is 16.
Solve for y in the equation: (3y)/4 = 9.
12
9
15
18
Multiplying both sides by 4 gives 3y = 36, and dividing by 3 results in y = 12. This makes 12 the correct answer.
If f(x) = 2x + 3, what is f(5)?
13
10
15
8
Substitute 5 for x in the function f(x) = 2x + 3 to obtain 2(5) + 3, which equals 13. Therefore, f(5) is 13.
Solve for x: 5(x - 2) = 3(x + 4).
11
10
8
12
Expanding both sides gives 5x - 10 = 3x + 12. Subtracting 3x and adding 10 results in 2x = 22, so x equals 11. This confirms the correct answer.
What is the area of a triangle with a base of 10 units and a height of 6 units?
30
60
20
15
The area of a triangle is calculated as one-half the product of its base and height. Here, 0.5 x 10 x 6 equals 30, making this the correct answer.
A circle has a radius of 7 units. What is the approximate circumference? (Use π ≈ 3.14)
44
43
48
42
The circumference of a circle is given by 2πr. Plugging in the values, 2 x 3.14 x 7 is approximately 43.96, which rounds to 44. Thus, the correct answer is 44.
Solve the proportion: 3/4 = x/16.
12
16
8
10
Cross multiplying gives 4x = 3 × 16, which simplifies to 4x = 48. Dividing both sides by 4 yields x = 12, confirming the correct answer.
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Study Outcomes

  1. Analyze mathematical problems to determine the correct approach for solving them.
  2. Apply key algebraic and geometric concepts to solve quiz problems.
  3. Identify specific areas of strength and weakness in high school math topics.
  4. Evaluate progress and refine problem-solving strategies in preparation for tests and exams.

ATAS Practice Test Math Cheat Sheet

  1. Master the laws of exponents - Don't let exponents scare you! When you know that am × an = am+n, you can shrink monstrous expressions into bite‑sized pieces. Before you know it, you'll be simplifying like a pro and saving precious brainpower for tougher challenges. Cuemath: Math Formulas for Class 8
  2. Get comfortable with square and cube roots - Roots are just exponents in reverse, unlocking the original number hidden beneath a square or cube. Recognizing perfect squares (like 16 or 25) and cubes (like 27 or 64) will help you solve equations such as x2 = p or x3 = p in a snap. Practice a handful each day, and you'll be a root‑finding ninja before exam time. Math Is Fun: Core Grade 8 Resources
  3. Understand functions as input‑output machines - Think of a function as a magical box: you feed in a number (the input), and out pops exactly one other number (the output). This concept helps you model everything from simple patterns to real‑world relationships. Mastering functions early means you'll breeze through graphing, transformations, and even calculus one day. Common Core Standards: Grade 8 Intro
  4. Solve systems of linear equations - Whether you graph lines to spot their intersection or use substitution and elimination, systems of equations reveal the point where two relationships meet. This skill is crucial for problems in economics, physics, and beyond. Once you've practiced a few different methods, you'll know exactly which strategy to pick for any puzzle. Math Is Fun: Core Grade 8 Resources
  5. Familiarize yourself with the Pythagorean Theorem - a2 + b2 = c2 isn't just a formula in a textbook - it's your shortcut to finding distances in right triangles. From architecture to video game design, knowing this rule opens doors to real‑world applications. Grab a triangle, plug in two sides, and watch math reveal the third. Math Is Fun: Core Grade 8 Resources
  6. Practice volumes of cylinders, cones, and spheres - Memorize V=πr2h for cylinders, V=(1/3)πr2h for cones, and V=(4/3)πr3 for spheres to tackle 3D geometry problems confidently. Visualizing how these shapes fill space will make you unstoppable on any geometry test. A few practice problems and you'll be calculating volumes in your sleep! Cuemath: Math Formulas for Class 8
  7. Explore geometric transformations - Rotations, reflections, and translations let you play with shapes like a digital artist moves pixels. Understanding these moves helps you analyze patterns, prove congruence, and even crack kids' puzzles. Try sketching a shape and applying each transformation - it's both fun and enlightening! Math Is Fun: Core Grade 8 Resources
  8. Study irrational numbers - Numbers like π and √2 never end or repeat, but you can approximate them with fractions to make calculations manageable. Grasping how to juggle irrational and rational numbers is key in advanced algebra and trigonometry. Before long, these "weird" numbers will feel like old friends. Math Is Fun: Core Grade 8 Resources
  9. Construct and interpret scatter plots - Scatter plots turn hunches into visuals, helping you spot trends, clusters, and outliers in data. Whether you're studying test scores, temperatures, or sports stats, this tool reveals hidden relationships. Master it, and you'll impress everyone with your statistical savvy. Math Is Fun: Core Grade 8 Resources
  10. Understand congruence and similarity - Two figures are congruent if they match exactly, and similar if they share the same shape but differ in size. Knowing when to apply each concept lets you solve complex geometry problems with confidence. Flip, stretch, or shrink a figure - math rules still apply! Math Is Fun: Core Grade 8 Resources
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