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Quizzes > High School Quizzes > Mathematics

Math CBA Test Practice Quiz

Sharpen skills with engaging math challenges

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art representing trivia for the CBA Math Challenge quiz, engaging high school-level math problems.

What is the value of 3 + 5 × 2?
13
16
10
8
Multiplication is performed before addition, so 5 × 2 equals 10, and adding 3 gives 13. This follows the order of operations.
Solve for x: x + 4 = 10.
6
14
4
10
Subtracting 4 from both sides of the equation gives x = 6. This method isolates the variable.
Convert the fraction 3/4 to a decimal.
0.75
0.67
1.25
0.7
Dividing 3 by 4 results in 0.75, which is the decimal equivalent of 3/4. This conversion is a basic arithmetic skill.
What is the greatest common factor (GCF) of 12 and 18?
6
3
2
9
The largest number that divides both 12 and 18 evenly is 6. Identifying the GCF helps in simplifying fractions and expressions.
What percentage is 25 out of 100?
25%
50%
10%
75%
Dividing 25 by 100 gives 0.25, which is equivalent to 25 percent. Percentages represent parts per hundred.
Solve for x: 2x - 5 = 9.
7
9
2
14
Adding 5 to both sides results in 2x = 14, and dividing by 2 yields x = 7. This is a standard method for solving linear equations.
Evaluate the expression: 4(3 + 2) - 3².
11
17
15
9
First, add inside the parentheses to get 5. Then multiply 4 by 5 to get 20 and subtract 9 (3²) to obtain 11. This follows the proper order of operations.
Solve for x: (1/2)x = 8.
16
8
4
12
Multiplying both sides of the equation by 2 eliminates the fraction, yielding x = 16. This demonstrates basic manipulation of equations involving fractions.
A rectangle has a perimeter of 24 units. If its length is 8 units, what is its width?
4 units
8 units
6 units
12 units
The perimeter of a rectangle is 2(l + w). Dividing 24 by 2 gives 12, and subtracting the length (8) yields a width of 4 units. This applies basic algebra and geometry concepts.
If the ratio of boys to girls is 3:2 and there are 15 boys, how many girls are there?
10
8
12
5
The ratio 3:2 means for every 3 boys there are 2 girls. If there are 15 boys, multiplying 15 by (2/3) gives 10 girls. This problem requires setting up a proportion.
Calculate the sum of the fractions: 1/4 + 1/3.
7/12
1/2
2/3
5/7
Finding a common denominator (12) allows you to add the fractions: 3/12 + 4/12 results in 7/12. This process reinforces fraction addition techniques.
Simplify the expression: (2/3) ÷ (4/5).
5/6
8/15
10/12
3/2
Dividing by a fraction is the same as multiplying by its reciprocal. Converting (2/3) ÷ (4/5) to (2/3) × (5/4) gives 10/12, which simplifies to 5/6.
Find the mean of the numbers: 3, 7, 7, 10, 13.
8
7
10
9
The mean is calculated by summing the numbers (which equals 40) and dividing by the count (5), resulting in a mean of 8. This assesses basic statistical computation.
What is the area of a triangle with a base of 6 units and a height of 4 units?
12 square units
24 square units
10 square units
8 square units
Using the formula for the area of a triangle (1/2 × base × height), substituting the given values yields 12 square units. This reinforces geometric area calculations.
Solve for y in the equation: (3/4)y = 9.
12
9
3
15
Multiplying both sides by the reciprocal of 3/4 (which is 4/3) isolates y, resulting in y = 9 × (4/3) = 12. This demonstrates the method for solving equations with fractional coefficients.
Solve the system of equations: x + y = 10 and x - y = 2.
x = 6, y = 4
x = 5, y = 5
x = 7, y = 3
x = 8, y = 2
Adding the two equations eliminates y, resulting in 2x = 12 and so x = 6. Substituting back into x + y = 10 gives y = 4.
What are the solutions to the equation: x² - 9 = 0?
x = 3 or x = -3
x = 3
x = -3
x = 9 or x = -9
The equation factors into (x - 3)(x + 3) = 0, yielding x = 3 or x = -3. Both answers are valid solutions since they satisfy the original equation.
If 3 packs of pencils cost $12, how much would 5 packs cost at the same rate?
$20
$15
$18
$22
First, determine the cost per pack by dividing $12 by 3, which equals $4 per pack. Multiplying $4 by 5 packs results in a total cost of $20.
Solve for x in the equation: (1/3)x + 2 = 5.
9
3
5
7
Subtracting 2 from both sides yields (1/3)x = 3. Multiplying both sides by 3 then gives x = 9, which is the correct solution.
If the area of a circle is 49π square units, what is its radius?
7 units
14 units
49 units
21 units
Using the formula for the area of a circle, A = πr², setting 49π equal to πr² gives r² = 49. Taking the square root yields a radius of 7 units.
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Study Outcomes

  1. Analyze algebraic expressions and equations.
  2. Apply geometric principles to solve measurement problems.
  3. Evaluate word problems to identify key mathematical concepts.
  4. Synthesize numerical data to formulate problem-solving strategies.
  5. Utilize critical thinking to tackle diverse math challenges.

Math CBA Test Review Cheat Sheet

  1. Master the Pythagorean Theorem - Slide into right triangles by remembering that the square of the hypotenuse equals the sum of the squares of the other two sides. This trusty formula unlocks countless geometry puzzles and even pops up in architecture and navigation, so practice it until it's second nature. Challenge yourself with different triangle dimensions and watch it all click! OpenUp Teacher Glossary
  2. Understand Rational and Irrational Numbers - Get to know the decimal dance: rational numbers stop or repeat, while irrational numbers keep going with no pattern. Spotting the difference helps you tackle everything from fractions to fancy roots and pi-based calculations. Embrace the chaos of non-repeating decimals - they're a math superstar! Grade 8 Math Unit 1
  3. Learn Exponent Rules - Power up your calculations by mastering rules like am × an = am+n and (am)n = amn. These shortcuts turn monster multiplications into quick, clean steps and are essential for algebra and beyond. Practice mixing and matching to build your exponent fluency! Cuemath Formulas
  4. Grasp the Concept of Functions - Imagine each input in a function as a guest at a party - every guest (input) gets exactly one party favor (output). This one-to-one mapping rule applies everywhere, from basic equations to computer algorithms. Visualize it with f(x) and you'll never look at relationships the same way! Math Goodies Worksheets
  5. Explore Transformations - Give shapes a makeover with translations (slides), rotations (spins), reflections (flips), and dilations (resizing). These transformations are your toolkit for understanding symmetry and artful pattern design in geometry. Play with graph paper or digital tools to see transformations come alive! OpenUp Family Glossary
  6. Study Linear Equations - Break down y = mx + b, where m is your line's slope and b is the y-intercept (that starting point on the y-axis). These equations model real-world trends like speed over time or cost per item, so they're super practical. Graph a few and watch straight lines tell their story! Math Goodies Worksheets
  7. Delve into Data Analysis - Crunch the numbers to find mean, median, mode, and range - your four data detectives. They help summarize large data sets into bite-sized insights, whether you're tracking grades or sports stats. Try a class survey to see statistics spring to life! Math Goodies Data Analysis
  8. Understand Probability - Think of probability as your chance score: favorable outcomes divided by total outcomes. This concept drives games of chance and risk assessments, from rolling dice to weather forecasts. Run mini-experiments - flip coins, roll dice - and compare your results to theory! Cuemath Probability Formulas
  9. Learn About Volume and Surface Area - Dive into formulas like V = (1/3)πr²h for cones, and practice with prisms and cylinders too. Knowing how to calculate space and surface helps in everything from packaging design to 3D modeling. Get hands-on with craft materials to measure and verify your answers! Cuemath 3D Geometry
  10. Explore Systems of Equations - Tackle puzzles with multiple equations and variables using substitution or elimination methods. Systems pop up in real life when balancing budgets or mixing solutions, so they're seriously useful. Team up with a friend and solve a few together for double the fun! Math Goodies Systems of Equations
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