SAT Maths Practice Questions : Focus On Geometry Problems

25 Questions

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SAT Math Quizzes & Trivia

These are 25 SAT Maths practice questions with a focus on geometry. It is modeled after the SAT Maths section but does not contain non-geometry questions. No figures are included, so you must draw your own. Read the question carefully. All the best! For more SAT Maths practice questions, please visit: http://www. Proprofs. Com/sat/practice-questions. Shtml Free SAT Maths Practice Test is available from http://www. Proprofs. Com/sat/


Questions and Answers
  • 1. 
    Which of the following points is not at a distance of 1 unit from the origin?
    • A. 

      (0,1)

    • B. 

      (1,0)

    • C. 

      (1,1)

    • D. 

      (0,-1)

    • E. 

      (-1,0)

  • 2. 
    • A. 

      π/3

    • B. 

      π

    • C. 

      π/9

    • D. 

      π/16

    • E. 

      π/18

  • 3. 
    • A. 

      14

    • B. 

      5

    • C. 

      8

    • D. 

      9

    • E. 

      11

  • 4. 
    Which of the following points is not on the graph of y = 2x + 3
    • A. 

      (0, 3)

    • B. 

      (1, 5)

    • C. 

      (2, 7)

    • D. 

      (-2, -7)

    • E. 

      (-1, 1)

  • 5. 
    How many 4 sqft. squares can fit onto the surface of a cube with sides of length 4 feet?
    • A. 

      24

  • 6. 
    • A. 

      It is parallel to the line y = x + 5

    • B. 

      It is perpendicular to the line y = -1/x

    • C. 

      It has a slope of 1

    • D. 

      It crosses the origin at the point (0,0)

    • E. 

      It intersects the y axis exactly once.

  • 7. 
    If a circle is divided into four sectors of areas x, 2x, 3x, and 4x, what is the angular measure of the smallest sector in degrees?
    • A. 

      36

  • 8. 
    A circle of radius r = 3 centered at the origin (0,0) will intersect the line y = 3 at how many points?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

    • E. 

      Infinitely many.

  • 9. 
    • A. 

      100

    • B. 

      400

    • C. 

      900

    • D. 

      40

    • E. 

      25

  • 10. 
    • A. 

      1

    • B. 

      2

    • C. 

      3

    • D. 

      4

    • E. 

      5

  • 11. 
    • A. 

      7

    • B. 

      8

    • C. 

      9

    • D. 

      10

    • E. 

      11

  • 12. 
    At how many points do the graphs of y = x^2 + 3 and y = x^2 -3 intersect?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

    • E. 

      Many points

  • 13. 
    What is the radius, in inches, of a circle inscribed in a square with the area 400 sq. inches?
    • A. 

      5

    • B. 

      8

    • C. 

      10

    • D. 

      12

    • E. 

      15

  • 14. 
    If two different planes intersect, at how many points will they intersect?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

    • E. 

      Many points

  • 15. 
    If the smaller angles in an obtuse triangle are x and 2x, what is a possible value for x?
    • A. 

      24

    • B. 

      32

    • C. 

      34

    • D. 

      36

    • E. 

      44

  • 16. 
    • A. 

      50 : x

    • B. 

      50 / x : x

    • C. 

      50 / 3x : 3

    • D. 

      50 / 3x : x

    • E. 

      3 : 1

  • 17. 
    What is the angular measure of a sector of a circle of radius 6 if the area of the sector is 9*pi square units?
    • A. 

      30 degrees

    • B. 

      60 degrees

    • C. 

      90 degrees

    • D. 

      135 degrees

    • E. 

      180 degrees

  • 18. 
    A man walks 5 miles North, 3 miles West, 8 miles South, and 7 miles East. What is his distance from his starting point?
    • A. 

      Sqrt(2)

    • B. 

      Sqrt(5)

    • C. 

      3

    • D. 

      5

    • E. 

      13

  • 19. 
    An equilateral triangle is created by putting four small equilateral triangles together, three on the base forming a trapezoid and one on top. If the length of the smaller triangle side is 1, what is the length of the larger triangle side?
    • A. 

      1

    • B. 

      1.5

    • C. 

      2

    • D. 

      2.5

    • E. 

      2*sqrt(2)

  • 20. 
    If a cylinder of volume V is doubled in height and tripled in radius, what will be the volume of the new cylinder?
    • A. 

      3

    • B. 

      6

    • C. 

      9

    • D. 

      12

    • E. 

      18

  • 21. 
    What is the distance between two opposite corners in the rectangular prism with length 2, height 2, and width 1?
    • A. 

      2

    • B. 

      3

    • C. 

      4

    • D. 

      5

    • E. 

      6

  • 22. 
    • A. 

      7

    • B. 

      11

    • C. 

      15

    • D. 

      18

    • E. 

      21*pi

  • 23. 
    A circle is divided into eight sectors that are separated such that the first section is x degrees, the second is 2x degrees, and so forth. What is the angular measure of the second-largest sector?
    • A. 

      40

    • B. 

      60

    • C. 

      70

    • D. 

      90

    • E. 

      120

  • 24. 
    If two different circles are concentric, at how many points will they intersect?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

    • E. 

      More than 3

  • 25. 
    The area of a circle 6 meters in diameter exceeds the combined areas of a circle 4 meters in diameter and a circle 2 meters in diameter by how many square meters?
    • A. 

      0

    • B. 

      3 pi 

    • C. 

      4 pi

    • D. 

      5 pi