AMC geometry problems
Triangles and circles, polygons, coordinate geometry, area and similarity, solids, transformations and trigonometry. 893 problems across 78 concepts. 420 come from the AMC 10 and 473 from the AMC 12.
Picks a problem you have not seen, at about the difficulty you are handling.
Concepts in geometry
- Coordinate geometry124
- Pythagorean Theorem105
- Area decomposition77
- Triangle area77
- Similarity71
- Area ratio60
- Area59
- Equilateral triangle59
- Volume57
- Circle area50
- Tangent circles46
- Regular polygon45
- Special right triangle40
- 3D geometry39
- Circle39
- Cube geometry37
- Trigonometry36
- Transformation35
- Rectangle33
- Right triangle33
- Sector33
- Square (geometry)33
- Isosceles triangle32
- Triangle inequality31
- Tangent line30
- Trigonometric identity30
- Trapezoid28
- Angle chasing27
- Lattice point26
- Law of cosines26
- Distance formula22
- Parabola22
- Sphere21
- Cone20
- Altitude19
- Inscribed angle18
- Angle bisector theorem17
- Chord17
- Angle sum16
- Circumcircle/circumcenter/circumradius16
- Parallel lines16
- Perimeter16
- Midpoint15
- Cyclic quadrilateral14
- Median (geometry)14
- Shoelace formula14
- Arc13
- Incircle/incenter/inradius13
- Power scaling13
- Rhombus13
- Centroid12
- Cylinder12
- Pyramid12
- Surface area12
- Vector12
- Perpendicular bisector11
- Pythagorean Triple11
- Circumference10
- Rectangular prism10
- Congruence8
- Parallelogram8
- Power of a point8
- Heron's Formula7
- Paper folding7
- Ellipse6
- Equiangular polygon6
- Net (3D geometry)6
- Angle bisector5
- Annulus5
- Law of sines5
- Polyhedron5
- Ptolemy's Theorem5
- Reflection (geometry)5
- Kite4
- Radical axis4
- Diagonal3
- Homothety3
- Hyperbola3
60 most recent problems
Newest contests first. Every problem opens with its answer choices, hints and a worked solution.
- 2025 AMC 10A · Problem 3
- 2025 AMC 10A · Problem 6
- 2025 AMC 10A · Problem 10
- 2025 AMC 10A · Problem 13
- 2025 AMC 10A · Problem 15
- 2025 AMC 10A · Problem 20
- 2025 AMC 10A · Problem 22
- 2025 AMC 10A · Problem 23
- 2025 AMC 10A · Problem 25
- 2025 AMC 10B · Problem 5
- 2025 AMC 10B · Problem 6
- 2025 AMC 10B · Problem 7
- 2025 AMC 10B · Problem 12
- 2025 AMC 10B · Problem 13
- 2025 AMC 10B · Problem 19
- 2025 AMC 10B · Problem 20
- 2025 AMC 10B · Problem 25
- 2025 AMC 12A · Problem 5
- 2025 AMC 12A · Problem 8
- 2025 AMC 12A · Problem 10
- 2025 AMC 12A · Problem 11
- 2025 AMC 12A · Problem 14
- 2025 AMC 12A · Problem 16
- 2025 AMC 12A · Problem 17
- 2025 AMC 12A · Problem 20
- 2025 AMC 12A · Problem 24
- 2025 AMC 12B · Problem 10
- 2025 AMC 12B · Problem 12
- 2025 AMC 12B · Problem 15
- 2025 AMC 12B · Problem 16
- 2025 AMC 12B · Problem 21
- 2025 AMC 12B · Problem 22
- 2025 AMC 12B · Problem 24
- 2025 AMC 12B · Problem 25
- 2024 AMC 10A · Problem 13
- 2024 AMC 10A · Problem 14
- 2024 AMC 10A · Problem 16
- 2024 AMC 10A · Problem 22
- 2024 AMC 10A · Problem 24
- 2024 AMC 10B · Problem 6
- 2024 AMC 10B · Problem 10
- 2024 AMC 10B · Problem 11
- 2024 AMC 10B · Problem 14
- 2024 AMC 10B · Problem 19
- 2024 AMC 10B · Problem 21
- 2024 AMC 10B · Problem 25
- 2024 AMC 12A · Problem 7
- 2024 AMC 12A · Problem 8
- 2024 AMC 12A · Problem 10
- 2024 AMC 12A · Problem 18
- 2024 AMC 12A · Problem 19
- 2024 AMC 12A · Problem 20
- 2024 AMC 12A · Problem 23
- 2024 AMC 12A · Problem 24
- 2024 AMC 12B · Problem 7
- 2024 AMC 12B · Problem 9
- 2024 AMC 12B · Problem 11
- 2024 AMC 12B · Problem 12
- 2024 AMC 12B · Problem 15
- 2024 AMC 12B · Problem 19
Use Start geometry practice above to work through the remaining 833.