Sample High School Tests

High school sample tests are classified into various sub categories. In this article we are going to see about high school geometry. These below sub topics are explained in high school sample geometry tests. Let us see the solved solution of high school sample geometry test problems. The topics are following:

  • Euclidean/plane geometry (area, perimeter, etc.)
  • Circles, ellipses, and hyperbolas. etc.,
  • Coordinating planes
  • Triangles/polygons
  • Sphere, cylinders, etc. these are high school sample dimensional geometry.
  • Prisms, platonic solids are polyhedron.
  • Hyperbolic, elliptical are non-euclidean geometry.

 

Example problems:

 

Problem 1: Find the area of Pentagon with a side length is 4 cm and in radius is 2 cm. Pentagon has 3 sides.

Solution:

The following formula is use to solving the area of pentagon.

Area of the Pentagon = (Number of sides * in radius * side)/2

= (4 * 2 * 3) / 2

= 24 / 2

= 12 square cm.

 

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Problem 2: Find the center and radius of circle for the equation x2+7x+y2 – 5y = 21

Solution:

For Solving center and radius of circle, we need to convert the equation into general form.

We can find (x2 + 7x) and (y2 – 5y) into a factor-able square. So we need to add (7/2)2= 3.52 = 12.5 and (5/2)2 = 2.52 = 6.25 to both sides.

X2 + 7x + 12.25 + y2 – 5y + 6.25 = 21 + 12.25 + 6.25

(x + 3.5)2 + (y – 2.5)2 = 39.5