High School: Geometry

Directions: Using the digits 0 to 9 at most one time each and as many leading zeros as you like, place a digit in each box to create two similar triangles. Source: Drew Ross

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to create a right triangle where 𝜃 is as close to 10° as possible. Source: Thomas Derstein

Directions: Using the integers -9 to 9 at most one time fill in the boxes to create a right triangle on the coordinate plane. Source: Tracy Conte

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to create a circle tangent to the line x+y=5. Source: Linnea Reyes-LaMon

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a circle and a point on the circle. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a circle and a point on the circle with the point being as close to the origin as possible. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box so that the central angle has the greatest possible value. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box two times: once where the central angle is greater than 130° and once where it is less than 130°. You may reuse all the digits each time. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box so that the radius and angle measure result in the sector area is as close to 60 units2 as possible. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box so that the radius and angle measure result in the sector area. Source: Robert Kaplinsky