Geometry quiz

Geometry Quiz: Angles, Area, and Shapes

Practice geometry questions about angles, triangles, area, perimeter, circles, volume, and the Pythagorean theorem. Use hints when needed, choose an answer, and review the explanation after each question.

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1 Question 1 of 10

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A triangle has angles 40° and 65°. What is the third angle?

Hint: The angles inside a triangle always add up to 180°.

Explanation: Add the known angles: 40° + 65° = 105°. Then subtract from 180°: 180° − 105° = 75°.

2 Question 2 of 10

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What is the area of a rectangle with length 12 and width 5?

Hint: Use the formula: area = length × width.

Explanation: The area of a rectangle is length × width. So 12 × 5 = 60.

3 Question 3 of 10

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What is the perimeter of a square with side length 9?

Hint: A square has 4 equal sides.

Explanation: The perimeter of a square is 4 × side. So 4 × 9 = 36.

4 Question 4 of 10

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A right triangle has legs 6 and 8. What is the hypotenuse?

Hint: Use the Pythagorean theorem: a² + b² = c².

Explanation: Calculate 6² + 8² = 36 + 64 = 100. Therefore c = √100 = 10.

5 Question 5 of 10

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What is the circumference of a circle with radius 7? Use π = 22/7.

Hint: Use the formula: circumference = 2πr.

Explanation: The circumference is 2πr. Substitute r = 7 and π = 22/7: 2 × 22/7 × 7 = 44.

6 Question 6 of 10

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What is the area of a triangle with base 10 and height 6?

Hint: Use the formula: area = 1/2 × base × height.

Explanation: The area of a triangle is 1/2 × base × height. So 1/2 × 10 × 6 = 30.

7 Question 7 of 10

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A straight angle measures how many degrees?

Hint: A straight angle forms a straight line.

Explanation: A straight angle is exactly 180° because it forms a straight line.

8 Question 8 of 10

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What is the volume of a cube with side length 4?

Hint: Use the formula: volume = side³.

Explanation: The volume of a cube is s³. So 4³ = 4 × 4 × 4 = 64.

9 Question 9 of 10

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Two angles are supplementary. One angle is 110°. What is the other angle?

Hint: Supplementary angles add up to 180°.

Explanation: Supplementary angles have a sum of 180°. So the other angle is 180° − 110° = 70°.

10 Question 10 of 10

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What is the area of a circle with radius 3? Use π = 3.14.

Hint: Use the formula: area = πr².

Explanation: The area of a circle is πr². With r = 3, area = 3.14 × 3² = 3.14 × 9 = 28.26.

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About this math quiz

This carousel quiz template shows one question at a time. Students can move back and forward, request a hint, answer the question, and then review the explanation.

You can reuse this file for Algebra, Geometry, Arithmetic, Fractions, Statistics, and Hard Math pages by changing the PHP array with questions at the top of the file.