FUVEST (University of São Paulo Entrance Exam) · Mathematics and Physics

Mathematics: Geometry and Measurement

8 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 8 questions

  1. What is the sum of the interior angles of a convex polygon with 8 sides?
  2. A right triangle has legs of 5 cm and 12 cm. What is the length of its hypotenuse?
  3. How many diagonals does a convex polygon with 10 sides have?
  4. A right circular cone has base radius 3 cm and height 4 cm. What is its volume?
  5. A sphere has surface area cm. What is its volume?
  6. A trapezoid has parallel sides of 8 cm and 12 cm and a height of 5 cm. What is its area?
  7. A circle is inscribed in a square of side 10 cm. What is the area of the region inside the square but outside the circle?
  8. Two similar triangles have areas in the ratio 4 : 9. The perimeter of the smaller triangle is 20 cm. What is the perimeter of the larger one?

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