Geometry Practice Problems
Strengthen your geometry skills with problems covering shapes, measurements, and spatial reasoning. From basic angle calculations to complex 3D problems.
Skills You'll Practice
- Calculating angle measures
- Working with triangles and their properties
- Finding perimeter, area, and volume
- Understanding circle measurements
- Using the Pythagorean theorem
- Coordinate geometry basics
Angles & Basic Shapes
EasyTwo angles are supplementary. One is 65°. Find the other.
💡 Show Hint
Supplementary angles add to 180°
✓ Show Answer
115°
Find the perimeter of a rectangle with length 8 cm and width 5 cm
💡 Show Hint
P = 2l + 2w
✓ Show Answer
26 cm
What is the sum of angles in a triangle?
✓ Show Answer
180°
Area & Perimeter
MediumFind the area of a triangle with base 12 and height 7
💡 Show Hint
A = ½bh
✓ Show Answer
42 square units
A circle has radius 5. Find its area. (Use π ≈ 3.14)
💡 Show Hint
A = πr²
✓ Show Answer
78.5 square units
A circle has diameter 10. Find its circumference. (Use π ≈ 3.14)
💡 Show Hint
C = πd or C = 2πr
✓ Show Answer
31.4 units
Pythagorean Theorem & Volume
HardA right triangle has legs 6 and 8. Find the hypotenuse.
💡 Show Hint
a² + b² = c² → 36 + 64 = c²
✓ Show Answer
10
Find the volume of a cylinder with radius 3 and height 10. (Use π ≈ 3.14)
💡 Show Hint
V = πr²h
✓ Show Answer
282.6 cubic units
A ladder 13 ft long leans against a wall. The base is 5 ft from the wall. How high does it reach?
💡 Show Hint
5² + h² = 13²
✓ Show Answer
12 ft
Pro Tips
- 💡Complementary angles = 90°, Supplementary angles = 180°
- 💡For circles: memorize C = πd (or 2πr) and A = πr²
- 💡Pythagorean theorem only works for RIGHT triangles
- 💡Volume uses CUBIC units, area uses SQUARE units, perimeter uses LINEAR units
Curriculum Alignment
Ready for Your Next Challenge?
Explore more practice topics or generate a personalized test to check your skills.