# Examples for 9th grade - page 12

- Trapezoid

Are diagonals in a rectangular trapezoid perpendicular and bisect the angles? - 4side pyramid

Calculate the volume and surface of 4 side regular pyramid whose base edge is 4 cm long. The angle from the plane of the side wall and base plane is 60 degrees. - Two doctors

Doctor A will determine the correct diagnosis with a probability 80% and doctor B with a probability 72%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors. - Sequence

In the arithmetic sequence is a_{1}=-9, d=4. Which member is equal to the number 147? - Balls

Ping pong balls have a diameter of approximately 3 cm. They are sold in boxes of 3 pieces: each box has the shape of a cuboid with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled wit - Pillar

Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 13, b = 21 and height is h = 33. - RT - hypotenuse and altitude

Right triangle TWS has hypotenuse s=202 km and altitude to s is 99 km. How long are hypotenuse segments? - Greek railwayman

Rafael works for the Slovak railways since 1987. His salary is 874 €. His colleague, Asterios works in the Greek State Railways from 2001. Earns 5670 € per month. Calculate how many times earns Asterios more than Asterios? - Cylinder - A&V

The cylinder has a volume 253. The base has a radius 5. What is the area of surface of the cylinder? - Dice

How many times must throw the dice, the probability of throwing at least one three was greater than 90%? - Rhomboid

Calculate the circumference and area of the rhomboid with sides 11 and 17, with their angle 70°. - Posters

Column with posters in the form of a cylinder is 3.3 m high and its diameter is 1.5 m. What is the content area for which it is possible to stick posters? - Football league

In the 2nd football league is 19 teams. How many ways can be filled first, second and third place? - Moving

Vojta left the house at three o'clockat 4 km/h. After half hour later went from the same place Filip by bicycle at speed 25 km/h. How long take Tilip to catch up Vojta and how far from the house? - 4s pyramid

Regular tetrahedral pyramid has a base edge a=6 and collaterally edge length b=15. What is its height? - Painter Pavel

Painter Pavel painted the fence for 20 hours and painter Petr the same fence painted for 17 h. How long should take painted the fence together? - Parquet floor

Three workers laid parquet floor for 1.957 hour. The first one would do this work alone 5 hours, the second in 9 hours. For how many hours would fulfill this work the third worker, if he worked alone? - n-gon

What is the side length of the regular 5-gon inscribed in a circle of radius 11 cm? - Steeple

Steeple seen from the road at an angle of 57°. When we zoom out to 25 meters, it is seen at an angle of 21°. What is high? - Rhombus 2

Calculate the area of rhombus which has a height v=48 mm and shorter diagonal u = 60 mm long.

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