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Quizzes > High School Quizzes > Electives

Kviz Znanja: Your Ultimate Practice Quiz

Sharpen your skills with engaging practice tests

Difficulty: Moderate
Grade: Grade 8.
Study OutcomesCheat Sheet
Colorful paper art promoting Izazov Znanja, a challenging high school math quiz.

This high school kviz znanja helps you review key topics and see what to study next. Answer 20 questions, see the learning outcomes for each, and follow extra reading links. Use it to check gaps before an exam or practice skills at your own pace.

What is 8 + 5?
12
15
14
13
8 + 5 equals 13, which is the correct sum. The other options do not add up correctly.
What is 7 x 6?
49
42
48
36
7 times 6 equals 42. This question reinforces multiplication facts that are essential in high school mathematics.
Simplify: 15 - 9.
7
6
8
5
Subtracting 9 from 15 results in 6, which is the correct answer. This problem tests basic subtraction skills.
What is the value of 20 ÷ 4?
5
6
7
4
Dividing 20 by 4 gives the quotient 5. This question emphasizes the basic operation of division.
Simplify the fraction 8/12 to its simplest form.
3/4
4/6
2/3
1/2
Dividing both the numerator and the denominator by 4 simplifies 8/12 to 2/3. Reducing fractions to simplest form is a fundamental skill.
Solve for x: x + 5 = 12.
12
5
7
17
Subtracting 5 from both sides of the equation yields x = 7. This tests basic skills in solving linear equations.
What is the perimeter of a rectangle with length 8 and width 5?
40
30
26
13
The perimeter of a rectangle is calculated as 2 times the sum of its length and width. Here, 2*(8+5) equals 26.
Solve for x: 3x - 4 = 11.
6
5
4
7
By adding 4 to both sides, the equation becomes 3x = 15, and dividing by 3 gives x = 5. This reinforces the process of solving linear equations.
What is 15% of 200?
20
30
35
25
15% of 200 is calculated as 0.15 multiplied by 200, which equals 30. This problem tests understanding of percentage calculations.
A triangle has angles measuring 35° and 65°. What is the measure of the third angle?
75°
80°
90°
85°
The sum of the interior angles of any triangle is 180°. Subtracting the given angles (35° and 65°) from 180° yields 80°.
Calculate the area of a triangle with a base of 10 and a height of 6.
30
20
60
15
The area of a triangle is found by taking half the product of its base and height. Here, (10 x 6) / 2 equals 30.
What is the value of the expression 3^2 + 4^2?
20
24
25
18
Calculating 3^2 gives 9 and 4^2 gives 16; their sum is 25. This problem also hints at the Pythagorean theorem in a basic form.
Simplify: 2/3 + 1/3.
3
1
2
1/2
Since the fractions have a common denominator, simply add the numerators: 2 + 1 equals 3, resulting in 3/3 which is 1. This tests fundamental fraction addition skills.
Solve: 5(2x - 3) = 35.
6
7
5
4
Expanding the left side gives 10x - 15 = 35. Adding 15 to both sides and then dividing by 10 results in x = 5.
Which number is a prime number?
4
11
9
8
11 is a prime number because it is divisible only by 1 and itself. Recognizing prime numbers is fundamental in the study of number theory.
Solve for x: 2(x - 3) + 4 = 18.
8
10
12
9
First, distribute to get 2x - 6, then add 4 to get 2x - 2 = 18. Solving for x gives x = 10 after adding 2 to both sides and dividing by 2.
If f(x) = 2x + 3, what is f(5)?
10
15
13
8
Substituting x with 5 in the function f(x) yields 2(5) + 3, which is 13. This question tests the ability to evaluate functions.
The sum of two consecutive even numbers is 54. What is the smaller number?
26
28
24
27
Let the consecutive even numbers be n and n+2; therefore, n + (n+2) = 54 simplifies to 2n = 52, giving n = 26. This incorporates both algebra and understanding of even number properties.
Solve the inequality: 3x - 5 > 10.
x > 10
x ≥ 10
x > 5
x ≥ 5
Adding 5 to both sides gives 3x > 15, and dividing by 3 results in x > 5. This question tests understanding of solving inequalities and maintaining the inequality direction.
Solve for y: 4(y + 1) = 2(2y + 3) + 2.
y = 4
No solution
y = 1
y = 2
Expanding both sides gives 4y + 4 = 4y + 8, which simplifies to an inconsistency (4 = 8). This indicates that there is no solution for y.
0
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Study Outcomes

  1. Identify and recall key mathematical concepts from the Grade 8 curriculum.
  2. Analyze and solve problems using algebraic, geometric, and arithmetic methods.
  3. Evaluate problem-solving strategies to recognize strengths and areas for improvement.
  4. Apply logical reasoning techniques to approach and resolve mathematical challenges.

Kviz Znanja Review Cheat Sheet

  1. Master the laws of exponents - Become an exponent wizard by learning how to combine and break down powers, such as am × an = am+n. These rules turn monstrous calculations into quick mental tricks and boost your math confidence.
  2. Get comfortable with square and cube roots - Tame roots like √16=4 and ∛27=3 to unlock solutions for x²=p or x³=p. Root mastery sharpens your equation-solving skills and reveals hidden patterns.
  3. Understand the Pythagorean Theorem - In any right triangle, a² + b² = c² helps you find missing sides and tackle real-world challenges. Picture squares on each side to see why it works every single time.
  4. Learn volume formulas for 3D shapes - Measure cones, cylinders, and spheres like a pro (e.g., Vsphere = 4/3 πr³) to conquer geometry questions. Visualizing shapes in your mind makes memorizing formulas fun.
  5. Grasp direct and inverse proportions - If y=kx, y grows as x grows; if y=k/x, they're inversely linked. Recognizing these relationships helps you solve mixing, scaling, and speed problems in a snap.
  6. Familiarize yourself with rational numbers - Rational numbers are fractions a/b where a and b are integers and b≠0, neatly placed on the number line. Mastering operations on them builds a solid algebra foundation.
  7. Practice solving linear equations - Crack equations like 3x+5=11 by isolating x step by step. These one-variable challenges are the building blocks of algebraic thinking - perfect brain workouts!
  8. Understand functions and their graphs - Plot y=f(x) and spot when it climbs or dips to see how variables interact. Function fluency turns data into stories you can read at a glance.
  9. Learn geometry transformations - Dilations, reflections, and rotations let you morph shapes while keeping core properties intact. Experiment with tracing paper or drawing apps to see transformations in action.
  10. Develop data handling and probability skills - Sort, display, and interpret data sets, then calculate event likelihood by dividing favorable outcomes by total outcomes. These tools help you make sense of everyday stats and games.
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