Thursday, April 4, 2013

Math Challenge 3 High School

Solve each item write the answer in the blank before the number. Use pi= 3.14 when necessary. Draw any figure you need to help you. Leave simplified radicals and fractions in the answers.


  1. What is an angle greater than 180 degrees but less than 360 degrees called?
  2. Two lines that do not belong to the same plane are called
  3. What is the supplement of 120 degrees?
  4. What is an interior angle of a regular octagon?
  5. How many distinct diagonals can be drawn in a nonagon?
  6. How many degrees is one exterior angle of a regular pentagon?
  7. The two parallel sides of an isosceles trapezoid are 10 cm and 20 cm respectively. If one of the acute angles is 60 degrees, find the area of the trapezoid
  8. A circle is drawn inside a semi-circle of radius 10 cm. Determine the area of the semi- circle outside the circle to the nearest tenth of a cm square.
  9. How many circles of radius 6 cm can be cut from a piece of cartolina measing 60 cm by 40 cm?
  10. A cylindrical water tank has a diameter of 1.2 m and a height of 1.5 m. How many liters of water can it hold the nearest liter?
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