Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Polynomials Practice Quiz for Exam Success

Sharpen your polynomial skills with guided exercises

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting Poly Power Play, a geometry quiz for middle school students.

What is a polygon?
A closed plane figure with at least three straight sides and angles.
A three-dimensional object with curved surfaces.
A shape with no straight edges.
An open figure with two disconnected lines.
A polygon is defined as a closed shape that is made up of straight line segments and forms a closed chain. This distinguishes it from curves or open figures.
How many sides does a triangle have?
3
4
5
6
A triangle always has three sides, which is a fundamental characteristic of this polygon. This basic property is one of the first taught in geometry.
Which of the following is a quadrilateral?
A rectangle
A triangle
A pentagon
A circle
A rectangle is a quadrilateral because it has four sides. Triangles have three sides, pentagons have five, and a circle is not considered a polygon.
What is the sum of the interior angles of a triangle?
180°
90°
360°
270°
The sum of the interior angles of any triangle is always 180°. This property is a cornerstone in understanding triangle geometry.
Which of the following is a characteristic of a regular polygon?
All sides and angles are equal
Only opposite sides are equal
Sides vary in length but angles are equal
It has at least one right angle
A regular polygon is defined by having all sides equal in length and all interior angles equal in measurement. This symmetry is what distinguishes it from irregular polygons.
What is the sum of the interior angles of a quadrilateral?
360°
180°
540°
720°
The sum of the interior angles of a quadrilateral is calculated using the formula (n-2) × 180°, where n is the number of sides. For a quadrilateral, this results in (4-2) × 180° = 360°.
How many diagonals does a pentagon have?
5
7
10
8
The formula for the number of diagonals in an n-sided polygon is n(n-3)/2. For a pentagon (n=5), this calculation gives 5×2/2, which equals 5 diagonals.
Which property distinguishes a regular polygon from an irregular polygon?
All sides and angles are equal
Only the angles are equal
Only the sides are equal
Sides and angles vary
A regular polygon is characterized by having both equal sides and equal interior angles, making its shape symmetric. This property is not present in irregular polygons.
Find the missing angle in a triangle with angles measuring 45° and 85°.
50°
60°
55°
65°
The sum of the interior angles in a triangle is always 180°. When you add 45° and 85°, you get 130°, so the missing angle is 180° - 130° = 50°.
Calculate the number of diagonals in a hexagon.
9
6
12
15
Using the diagonal formula n(n-3)/2 for a hexagon (n=6), we calculate 6×3/2, which equals 9 diagonals. This formula is essential for finding diagonal counts in polygons.
What is the measure of each interior angle in a regular octagon?
135°
120°
140°
150°
A regular octagon has 8 sides, and the sum of its interior angles is (8-2) × 180° which equals 1080°. Dividing 1080° by 8 gives each interior angle as 135°.
If the exterior angle of a regular polygon is 30°, how many sides does the polygon have?
12
10
8
14
Since the sum of the exterior angles of any polygon is always 360°, dividing 360° by the exterior angle of 30° yields 12 sides. This division directly gives the number of sides for a regular polygon.
Select the correct formula for computing the sum of interior angles in an n-sided polygon.
(n - 2) × 180°
n × 180°
n - 2
180° ÷ (n - 2)
The formula (n - 2) × 180° correctly computes the sum of the interior angles for any n-sided polygon. This formula stems from dividing the polygon into (n-2) triangles.
What is the measure of one exterior angle of a regular pentagon?
72°
60°
90°
108°
A regular pentagon has five equal exterior angles that add up to 360°. Dividing 360° by 5 results in each exterior angle measuring 72°.
Determine the sum of the exterior angles of any polygon.
360°
180°
720°
Varies with the number of sides
No matter how many sides a polygon has, the sum of the exterior angles remains constant at 360°. This is an invariant property of all polygons.
A regular polygon has each interior angle measuring 150°. How many sides does it have?
12
10
8
14
Using the formula for an interior angle of a regular polygon, [(n-2)×180°]/n = 150°, we can set up the equation and solve for n. The calculation shows that n = 12, meaning the polygon has 12 sides.
If a regular polygon has 20 diagonals, how many sides does it have?
8
7
9
10
The number of diagonals in an n-sided polygon is given by the formula n(n-3)/2. Setting this equal to 20 and solving the equation shows that n = 8. This requires a bit of algebraic manipulation or testing integer values.
In a convex polygon, if one exterior angle is twice its adjacent interior angle, what is the measure of the interior angle?
60°
45°
72°
90°
At any vertex of a polygon, the interior and exterior angles are supplementary, meaning they add up to 180°. If the exterior angle is twice the interior angle, setting up the equation x + 2x = 180° leads to x = 60°.
What is the minimum number of sides required for a polygon to be concave?
4
3
5
6
A triangle (3 sides) is always convex, meaning it cannot be concave. The simplest polygon that can be concave is a quadrilateral, which may have an interior angle greater than 180°.
For a regular polygon, if the central angle is 40°, how many sides does the polygon have?
9
8
10
11
The central angle of a regular polygon is determined by dividing 360° by the number of sides. With a central angle measuring 40°, solving 360°/n = 40° gives n = 9. This shows the polygon has 9 sides.
0
{"name":"What is a polygon?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"What is a polygon?, How many sides does a triangle have?, Which of the following is a quadrilateral?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Understand the fundamental properties of polygons, including definitions and classifications.
  2. Analyze different types of polygons based on the number of sides and angle measures.
  3. Apply formulas to calculate interior and exterior angles of various polygons.
  4. Solve geometric problems by linking polygon properties to real-world scenarios.
  5. Evaluate strategies for constructing and deconstructing polygons in quiz challenges.

Polynomials Test Cheat Sheet

  1. Polygon Basics - Imagine a closed shape made by connecting straight lines to form a loop; that's your polygon! Regular polygons boast equal sides and angles, while irregular ones march to their own geometric beat. Learn about regular vs. irregular
  2. Sum of Interior Angles - Every polygon hides a simple secret: its interior angles always add up to (n−2)×180°, where n is the number of sides. For example, a hexagon's angles total (6−2)×180°=720°. Practice the formula
  3. Sum of Exterior Angles - No matter how many sides you have, a polygon's exterior angles will always total 360°. For regular polygons, each exterior angle is just 360° divided by the number of sides - instant magic! See the proof
  4. Meet the Common Polygons - From triangles (3 sides) to octagons (8 sides), each shape has its own character and angle-sum story. Learning their names and properties makes spotting them in the world a fun treasure hunt! Explore each shape
  5. Area of Regular Polygons - Want to find the area? Use (n×s×a)/2, where n is sides, s is side length, and a (the apothem) is the distance from center to side. It's like slicing a pizza into equal triangles and adding them up! Crunch the numbers
  6. Counting Diagonals - Diagonals connect non‑adjacent corners. The formula n(n−3)/2 tells you exactly how many a polygon has - like a pentagon's five diagonals popping right out of the equation! Test diagonal counts
  7. Key Properties of Regular Polygons - Equal sides, equal interior angles, and equal exterior angles give regular polygons their perfect symmetry. Spot these features and you'll breeze through many geometry problems! Dive into properties
  8. Understanding the Apothem - The apothem is the perpendicular distance from the center to any side in a regular polygon. It's your golden ticket for area calculations and deeper insights into shape symmetry. Learn about the apothem
  9. Interior vs. Exterior Angles - At each corner, an interior and exterior angle are buddies that always add up to 180°. This handy relationship helps you switch perspectives and solve angle puzzles faster! See angle relationships
  10. Hands‑On Practice - Grab a pencil, draw different polygons, label their sides and angles, and calculate properties to reinforce your learning. Active sketching cements these concepts and makes geometry truly come alive! Get drawing prompts
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker