SAT Practice Questions - Geometry



Try out the following Geometry Questions to help you prepare for the SAT, ACT or other similar examinations.

SAT Practice Questions - Geometry: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

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Related Topics: More Geometry Lessons

Question 1

What is the area of the following square, if the length of BD is 2 root 2?

square

          (A)
          (B)
          (C)
          (D)
          (E)

1
2
3
4
5


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SAT Practice Questions - Geometry: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Question 2

In the figure below, what is the value of y ?

triangles

          (A)
          (B)
          (C)
          (D)
          (E)

40
50
60
100
120


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SAT Practice Questions - Geometry: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Question 3

Two circles both of radii 6 have exactly one point in common. If A is a point on one circle and B is a point on the other circle, what is the maximum possible length for the line segment AB?

          (A)
          (B)
          (C)
          (D)
          (E)

12
15
18
20
24


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SAT Practice Questions - Geometry: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Question 4

A right circular cylinder has a radius of 3 and a height of 5. Which of the following dimensions of a rectangular solid will have a volume closest to the cylinder.

          (A)
          (B)
          (C)
          (D)
          (E)

4, 5, 5
4, 5, 6
5, 5, 5
5, 5, 6
5, 6, 6


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SAT Practice Questions - Geometry: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Question 5

triangles
Note: Figures not drawn to scale

In the figures above, x = 60. How much more is the perimeter of triangle ABC compared with the triangle DEF.

          (A)
          (B)
          (C)
          (D)
          (E)

0
2
4
6
8


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SAT Practice Questions - Geometry: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10



SAT Geometry Problem
This is an SAT style Geometry problem that requires good thinking to solve it. It goes beyond knowing the mathematical formulae.

In the figure below, arc SBT is one quarter of a circle with center R and radius 7. The length plus the width of the rectangle ABCR is 9.5. Find the perimeter of the shaded region.



GMAT Math Problem 03 (Geometry- Angles)
Geometry challenge problem from past GMAT exam






SAT Math Practice Question - Shaded Area Geometry



What is f(2) for the graph of f(x) below?







SAT Math Practice Question - Geometry with Equilateral Triangle
In the figure WXYT is a square and triangle TYZ is equilateral. If WXYT has area 1, what is the area of triangle TYZ?
Hint: The angles in an equilateral triangle are 60°



In the following diagram, AD is parallel to BC, AC = 13, BC = 5, BD = 15. What is the length of AD?








SAT Math Practice Question- Coordinate Geometry and Recognizing Triangles
In the figure line OB is rotated counterclockwise, keeping point O fixed. What will be the coordinates of point B when it meets the y-axis?



How to solve a hard geometry problem by knowing there are 180 degrees in a triangle and 180 degrees in a straight line.



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