# Grade - examples - page 115

- Land cost

The land is worth 33295 CZK. 1st owner has 5/15, 2nd owner has 4/15, 3rd owner has 1/5 4th owner has 1/5. How much CZK each of them will receive? - Cakes Z8-I-5

Mom brought 10 cakes of three types: kokosek was less than laskonek and most were caramel cubes. John chose two different kinds of cakes, Stephan did the same and for Margerith leave only the cakes of the same type. How many kokosek, laskonek and caramel c - Magic belt

The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had a content area 4 cm^{2.}What was its original length if the original wid - Scalar dot product

Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120° - Bearing

A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point. - Cork and swimming

If a person weighs 80 kg, how many kilograms of cork must take swimming belt to use it to float on water? The density of the human body is 1050kg/m3 and cork 300kg/m3. (Instructions: Let the human body and cork on a mixture that has a density of 1000kg/m - Johnny

Johnny bought for 28 CZK flower to mum. He that spent 4/7 of the money saved. How much money he had saved? How much money left him? - Value

Determine the value of the following exspressions: a) (23-25)·(4-5) b) (97-123):(18+8) - Trams

Tram no. 3,7,10,11 rode together from the depot at 5am. Tram No. 3 returns after 2 hours, tram No. 7 an hour and half, no. 10 in 45 minutes and no. 11 in 30 minutes. For how many minutes and when these trams meet again? - Cuboid - edges

The sum of all edges cuboid are 8 meters. However, the width is twice shorter than the length and height is seven times longer than the width. Determine the dimensions of the cuboid. - Cone area and side

Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side. - Wavelength

Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s. - Car factory

A workshop had produced 25 cars. While they produced about 15 fewer than they had planned. How many cars they produced in the hall yet? How many cars are still to manufacture? - Bundle of candies

In the store has 168 chocolates, caramel candies 224 and 196 hard candies. How many packages we can do and how many of candies will be in each package? - Cube 8

The surface of the cube is 0.54 m^{2.}Calculate the length of the cube edge. - Jan and Dan

Jan and Dan had the same money. Jan bought 5 workbooks and left him 15 CZK. Dan 6 and left him nothing. How much money have in total? - The cube - simple

Calculate the surface of the cube measuring 15 centimeters. - Is equal

Is equal following terms? ? - Barbara

Barborka goes to school with backpack that was 2 - times more expensive than a bag slipper. If backpack was 36 euros cheaper it was cost same as bag slipper. How many cost backpack and how many bas slipper? - Confectionery

The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.

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