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UPCAT Geometry questions with answers

10 UPCAT geometry practice questions, each with the correct answer and a worked explanation. Drill this single topic instead of a whole subtest.

  • 2 easy
  • 7 medium
  • 1 hard
  1. 9A circle has a circumference of 12π. What is its area?
    Answer: A. 36π    Mathematics
  2. 10The angles of a triangle are in the ratio 2 : 3 : 5. What is the measure of the largest angle?
    Answer: A. 90°    Mathematics
  3. 11A right triangle has legs measuring 9 cm and 12 cm. What is the length of its hypotenuse?
    Answer: C. 15 cm    Mathematics
  4. 26What is the volume of a cube with an edge of 4 cm?
    Answer: C. 64 cm³    Mathematics
  5. 27What is the total surface area of a cube with an edge of 5 cm?
    Answer: D. 150 cm²    Mathematics
  6. 28What is the volume of a cylinder with radius 3 cm and height 10 cm?
    Answer: A. 90π cm³    Mathematics
  7. 44What is the sum of the interior angles of a hexagon?
    Answer: B. 720°    Mathematics
  8. 45What is the measure of each interior angle of a regular pentagon?
    Answer: A. 108°    Mathematics
  9. 46In a circle of radius 6 cm, what is the length of an arc subtending a central angle of 60°?
    Answer: C. 2π cm    Mathematics
  10. 50A trapezoid has parallel sides measuring 8 cm and 12 cm, with a height of 5 cm. What is its area?
    Answer: C. 50 cm²    Mathematics

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