A square is a fundamental two-dimensional shape in geometry, characterized by four equal sides and four right angles (each measuring 90 degrees). As a regular quadrilateral, it exhibits symmetry along both its diagonals, which bisect each other at 90 degrees and are equal in length. Squares have an area calculated by squaring the length of one side (Area = side²) and a perimeter of four times the side length (Perimeter = 4 × side). This shape is widely used in mathematics, design, and architecture due to its balance and stability.
Table of contents
- Part 1: OnlineExamMaker – Generate and share square quiz with AI automatically
- Part 2: 20 square quiz questions & answers
- Part 3: AI Question Generator – Automatically create questions for your next assessment
Part 1: OnlineExamMaker – Generate and share square quiz with AI automatically
OnlineExamMaker is a powerful AI-powered assessment platform to create auto-grading square assessments. It’s designed for educators, trainers, businesses, and anyone looking to generate engaging quizzes without spending hours crafting questions manually. The AI Question Generator feature allows you to input a topic or specific details, and it generates a variety of question types automatically.
Top features for assessment organizers:
● Prevent cheating by randomizing questions or changing the order of questions, so learners don’t get the same set of questions each time.
● AI Exam Grader for efficiently grading quizzes and assignments, offering inline comments, automatic scoring, and “fudge points” for manual adjustments.
● Embed quizzes on websites, blogs, or share via email, social media (Facebook, Twitter), or direct links.
● Handles large-scale testing (thousands of exams/semester) without internet dependency, backed by cloud infrastructure.
Automatically generate questions using AI
Part 2: 20 square quiz questions & answers
or
1. Question: What is the area of a square with a side length of 5 cm?
Options:
A) 15 cm²
B) 20 cm²
C) 25 cm²
D) 30 cm²
Answer: C) 25 cm²
Explanation: The area of a square is calculated by squaring the side length, so 5 × 5 = 25 cm².
2. Question: What is the perimeter of a square with a side length of 6 meters?
Options:
A) 18 meters
B) 24 meters
C) 30 meters
D) 36 meters
Answer: B) 24 meters
Explanation: The perimeter of a square is 4 times the side length, so 4 × 6 = 24 meters.
3. Question: How many lines of symmetry does a square have?
Options:
A) 2
B) 4
C) 6
D) 8
Answer: B) 4
Explanation: A square has four lines of symmetry: two diagonals and two through the midpoints of opposite sides.
4. Question: What is the length of the diagonal of a square with a side length of 4 cm?
Options:
A) 4 cm
B) 4√2 cm
C) 8 cm
D) 16 cm
Answer: B) 4√2 cm
Explanation: The diagonal of a square is found using the Pythagorean theorem: diagonal = side × √2, so 4 × √2 = 4√2 cm.
5. Question: All angles in a square measure:
Options:
A) 45 degrees
B) 90 degrees
C) 180 degrees
D) 360 degrees
Answer: B) 90 degrees
Explanation: A square has four right angles, each measuring 90 degrees.
6. Question: If the area of a square is 36 cm², what is its side length?
Options:
A) 4 cm
B) 6 cm
C) 8 cm
D) 9 cm
Answer: B) 6 cm
Explanation: The side length is the square root of the area, so √36 = 6 cm.
7. Question: A square has how many equal sides?
Options:
A) 2
B) 3
C) 4
D) 5
Answer: C) 4
Answer: C) 4
Explanation: By definition, a square has four sides of equal length.
8. Question: What is the perimeter of a square if its area is 16 cm²?
Options:
A) 8 cm
B) 16 cm
C) 24 cm
D) 32 cm
Answer: B) 16 cm
Explanation: First, find the side length: √16 = 4 cm. Then, perimeter = 4 × 4 = 16 cm.
9. Question: In a square, the diagonals are:
Options:
A) Perpendicular and equal
B) Parallel and equal
C) Perpendicular and unequal
D) Parallel and unequal
Answer: A) Perpendicular and equal
Explanation: The diagonals of a square bisect each other at 90 degrees and are of equal length.
10. Question: If a square has a perimeter of 20 cm, what is its area?
Options:
A) 20 cm²
B) 25 cm²
C) 30 cm²
D) 35 cm²
Answer: B) 25 cm²
Explanation: Side length = perimeter / 4 = 20 / 4 = 5 cm. Area = 5 × 5 = 25 cm².
11. Question: Which shape is a square?
Options:
A) A rectangle with unequal sides
B) A rhombus with right angles
C) A parallelogram with no right angles
D) A triangle with equal sides
Answer: B) A rhombus with right angles
Explanation: A square is a rhombus that has all angles equal to 90 degrees.
12. Question: The area of a square with diagonal 10 cm is:
Options:
A) 25 cm²
B) 50 cm²
C) 100 cm²
D) 200 cm²
Answer: B) 50 cm²
Explanation: Side length = diagonal / √2 = 10 / √2 = 5√2 cm. Area = (5√2) × (5√2) = 25 × 2 = 50 cm².
13. Question: How many vertices does a square have?
Options:
A) 3
B) 4
C) 5
D) 6
Answer: B) 4
Explanation: A square is a quadrilateral with four vertices.
14. Question: If two squares have side lengths 3 cm and 6 cm, what is the ratio of their areas?
Options:
A) 1:2
B) 1:3
C) 1:4
D) 1:9
Answer: C) 1:4
Explanation: Areas are 3² = 9 cm² and 6² = 36 cm². Ratio = 9:36 = 1:4.
15. Question: A square garden has an area of 81 m². What is the length of each side?
Options:
A) 7 m
B) 8 m
C) 9 m
D) 10 m
Answer: C) 9 m
Explanation: Side length = √81 = 9 m.
16. Question: The diagonals of a square divide it into:
Options:
A) 2 equal triangles
B) 4 equal triangles
C) 2 unequal triangles
D) 4 unequal triangles
Answer: B) 4 equal triangles
Explanation: The two diagonals intersect at the center, dividing the square into four congruent right-angled triangles.
17. Question: What is the area of a square if its perimeter is 28 cm?
Options:
A) 28 cm²
B) 49 cm²
C) 64 cm²
D) 81 cm²
Answer: B) 49 cm²
Explanation: Side length = 28 / 4 = 7 cm. Area = 7 × 7 = 49 cm².
18. Question: A square has sides of length 10 cm. What is the length of its diagonal?
Options:
A) 10 cm
B) 10√2 cm
C) 20 cm
D) 100 cm
Answer: B) 10√2 cm
Explanation: Diagonal = side × √2 = 10 × √2 = 10√2 cm.
19. Question: Which of the following is true about a square?
Options:
A) All sides are equal, but angles are not
B) All angles are equal, but sides are not
C) All sides and angles are equal
D) No sides or angles are equal
Answer: C) All sides and angles are equal
Explanation: A square has four equal sides and four equal angles of 90 degrees.
20. Question: If the side of a square is doubled, how does the area change?
Options:
A) Halved
B) Doubled
C) Tripled
D) Quadrupled
Answer: D) Quadrupled
Explanation: If the original side is s, area is s². New side is 2s, new area is (2s)² = 4s², so it quadruples.
or
Part 3: AI Question Generator – Automatically create questions for your next assessment
Automatically generate questions using AI