# Grade - examples - page 25

- Dice

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

Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm^{2}and circumference 12 cm and that their sides is in square grid. - Football league

In the 5th football league is 10 teams. How many ways can be filled first, second and third place? - Triangular pyramid

Calculate the volume and surface area of a regular triangular pyramid whose height is equal to the length of the base edges 10 cm. - Cut and cone

Calculate the volume of the rotation cone which lateral surface is circle arc with radius 15 cm and central angle 63 degrees. - The chord

Side of the triangle inscribed in a circle is a chord passing through circle center. What size are the internal angles of a triangle, if one of them is 40°? - Angle between vectors

Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20) - Inheritance

After death father (♱ 62) remained mother (his wife) and its 3 children. Inheritance by law is that in first mother will automatically get half of the property and other one half inherite by heirs witch are mother and her 3 children by same share. Cal - Jewel

Rhombus-shaped jewel have area of 93 mm^{2}and the edge in long 13.2 mm. Calculate the size of rhombus acute angle. - Clock

What time is now, if the time elapsed after noon is 4/15 of time that elapses before midnight? - Hole

They fill shape hole with dimensions 2.9 m, 17 m, 15.2 m with 97 m^{3}of soil. How many percent it fill up? - Solidarity

Imagine a word solidarity means that salt donation to the needy, who have neither the salt. If we take word solidarity has word base salt + gift (only in Slovakian language). Calculate how many kilos of salt sympathetic citizen "gives" government a year i - Trapezoid

Are diagonals in a rectangular trapezoid perpendicular and bisect the angles? - Square

Calculate area of the square with diagonal 64 cm. - Hypotenuse and height

In a right triangle is length of the hypotenuse c = 56 cm and height h_{c}= 4 cm. Determine the length of both trangle legs. - Sequence

In the arithmetic sequence is a_{1}=-1, d=4. Which member is equal to the number 203? - RT - hypotenuse and altitude

Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments? - Prism

The base of the prism is a rhombus with a side 30 cm and height 27 cm. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism. - Rectangles

Calculate how many squares/rectangles of size 4×3 cm can be cut from a sheet of paper of 36 cm × 32 cm? - Pillar

Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 19, b = 27 and height is h = 48.

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