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Quizzes > High School Quizzes > English Language Arts

Ace Your CMAS Practice Test

Sharpen Skills with Expert CMAS Practice Tests

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting a math trivia quiz for middle school students.

What is 7 × 8?
54
56
58
60
7 multiplied by 8 equals 56. The other options are common miscalculations.
What is the simplified form of the fraction 12/16?
3/4
4/3
6/8
2/3
Dividing both the numerator and denominator by 4 simplifies 12/16 to 3/4. The other fractions are either unsimplified or incorrect.
What is the sum of the interior angles in a triangle?
180°
90°
360°
270°
The sum of the interior angles of any triangle is always 180°. The other options reflect common misunderstandings.
Solve for x: x + 5 = 12.
7
5
12
17
Subtracting 5 from both sides of the equation gives x = 7. The other options do not satisfy the original equation.
What is the next prime number after 7?
9
10
11
13
The next prime number after 7 is 11 because 9 and 10 are not prime. The other options either represent composite numbers or skip the immediate next prime.
Simplify: 3/4 + 1/8.
7/8
1/2
1
5/8
To add 3/4 and 1/8, convert 3/4 to 6/8 so that 6/8 + 1/8 equals 7/8. The other options arise from miscalculations in finding a common denominator.
Which expression demonstrates the distributive property of 4(x + 3)?
4x + 3
4x + 12
4 + x3
4x - 3
Applying the distributive property, you multiply 4 by each term inside the parentheses: 4(x + 3) becomes 4x + 4×3 = 4x + 12. The other options incorrectly apply the property.
Solve for y: 2y - 4 = 10.
5
7
8
9
Adding 4 to both sides gives 2y = 14, and dividing both sides by 2 results in y = 7. The other choices do not satisfy the equation.
Evaluate: 3² - 4.
5
7
1
9
3 squared is 9, and subtracting 4 gives 5. The other options result from common arithmetic mistakes.
Which equation is in slope-intercept form?
y = mx + b
Ax + By = C
y = bx + m
y - m = x + b
The slope-intercept form is given by y = mx + b, where m represents the slope and b the y-intercept. The other forms either rearrange terms incorrectly or represent another form of linear equations.
What is the area of a rectangle with a length of 12 and a width of 5?
60
17
35
70
The area of a rectangle is calculated as length multiplied by width: 12 × 5 equals 60. The other options result from arithmetic errors.
Express 0.75 as a fraction in simplest form.
3/4
75/100
7/4
1/2
0.75 is equivalent to 75/100, which simplifies to 3/4 when both the numerator and denominator are divided by 25. The other answers are either unsimplified or incorrect.
Calculate the value of 2(3 + 4×2).
11
14
22
16
Following the order of operations, first compute 4×2 = 8, then add 3 to obtain 11, and finally multiply by 2 to get 22. The distractors come from misapplying the order of operations.
Which term describes a number that is divisible only by 1 and itself?
Composite
Prime
Rational
Integer
A prime number is defined as a number that has exactly two distinct positive divisors: 1 and itself. The other terms describe different types of numbers.
Simplify the expression: 5x - 2x + 4.
7x + 4
3x + 4
5x + 4
2x + 4
Combine like terms by subtracting 2x from 5x to obtain 3x, then add the constant 4 to get 3x + 4. The other answers stem from errors in combining like terms.
Solve for x: 3(x - 2) = 2(2x + 1) + x.
-4
4
-2
2
Expanding both sides, the equation becomes 3x - 6 = 5x + 2. Solving for x yields x = -4. The other options result from common errors in distribution and simplification.
The volume of a cube is given by V = s³. If the volume doubles, what is the new side length in terms of s?
s + 2
s∛2
2s
Doubling the volume gives 2s³ = (new side length)³, so the new side length is s multiplied by the cube root of 2. The other options incorrectly adjust the side length.
If f(x) = 2x² - 3x + 1, what is the value of f(3)?
10
8
12
7
Substituting x = 3 into the function gives 2(9) - 3(3) + 1 = 18 - 9 + 1, which results in 10. The other choices come from miscalculations during substitution.
What is the slope of the line perpendicular to the line given by y = -(1/2)x + 3?
2
-2
1/2
-1/2
The slope of the given line is -1/2, so the slope of any line perpendicular to it is the negative reciprocal, which is 2. The other options do not correctly represent the perpendicular slope.
Solve the equation: (x/3) + (x/4) = 7.
12
7
24
6
By finding a common denominator, the equation becomes (7x)/12 = 7. Multiplying both sides by 12 results in 7x = 84, so x = 12. The other options come from errors in handling fractions.
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Study Outcomes

  1. Analyze mathematical problems to identify key concepts and techniques.
  2. Apply problem-solving strategies to effectively solve grade-level math questions.
  3. Evaluate personal understanding to identify areas needing improvement.
  4. Demonstrate proficiency in tackling a range of middle school math challenges.
  5. Synthesize learned concepts to prepare effectively for upcoming tests and exams.

CMAS Practice Test & Review Cheat Sheet

  1. Master the order of operations (PEMDAS) - Think of PEMDAS as the ultimate cheat code for tackling tricky expressions: always handle Parentheses first, then Exponents, followed by Multiplication and Division (left to right), and wrap up with Addition and Subtraction. Practice this sequence until it feels like second nature, and you'll breeze through multi”step problems without breaking a sweat. Grade 8 Math Practice Test
  2. Understand exponent rules - Get comfy with the product, quotient, and power rules so you can simplify exponential expressions in a snap; it's like learning shortcuts for superpowers. Once you see how exponents combine and cancel, you'll tackle growth and decay problems with confidence. Grade 8 Math Practice Test
  3. Solve linear equations and inequalities - Practice isolating variables, balancing both sides, and checking your work to unlock the world of algebraic thinking. Then plot your solutions on a coordinate plane to visualize how lines and shaded regions tell a story about possible values. Grade 8 Math Practice Test
  4. Explore functions, domain, and range - Functions are like vending machines: you input x, get an output y, and you need to know which inputs (domain) are allowed and what outputs (range) you can expect. Interpreting f(x) notation makes grappling with more complex topics, like inverse functions, a breeze. Grade 8 Math Practice Test
  5. Review the Pythagorean Theorem - a² + b² = c² is your go-to formula for finding missing sides of right triangles, whether you're measuring a steep hill or checking if a corner is square. Practice plug‑and‑chug problems until you feel like a geometry wizard. Grade 8 Math Practice Test
  6. Conquer coordinate transformations - Translations, rotations, reflections, and dilations let you remix shapes on the grid like an artist with a canvas. Mastering these moves gives you the power to predict exactly how a figure will shift or spin. Grade 8 Math Practice Test
  7. Calculate volume and surface area - Cylinders, cones, and spheres are everywhere - from soda cans to basketballs - so knowing how to find their volume and surface area is super handy. Work through sample problems until you can derive each formula from memory. Grade 8 Math Practice Test
  8. Interpret scatter plots and correlation - Scatter plots turn data points into stories, showing you whether two variables move together (positive), in opposite directions (negative), or not at all (no correlation). Spotting these patterns helps you make predictions and informed decisions. Grade 8 Math Practice Test
  9. Work with scientific notation - Represent enormous distances (like the radius of Earth) or tiny quantities (like the mass of an atom) in a compact form using powers of ten. After a bit of practice shifting decimal points, you'll handle any big or small number with total ease. Grade 8 Math Practice Test
  10. Apply percentages, ratios, and proportions - From shopping discounts to recipe adjustments, real‑world problems often boil down to these three concepts. Develop a toolbox of strategies - like cross”multiplication and percent change formulas - to solve them quickly and accurately. Grade 8 Math Practice Test
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