# Examples for 6th grade (the sixth graders) - page 27

- Ships

Red ship begins its circuit every 30 minutes. Blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time always at 10:00 o'clock. a / What time does meet boat again? b / How many times a da - The largest number

Find the largest integer such that: 1. No figures is not repeat, 2. multiplication of every two digits is odd, 3. addition all digits is odd. - Line

Can we construct a line segment, if we know: center - The cube - simple

Calculate the surface of the cube measuring 15 centimeters. - 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? - Jam cakes

Mom baked a third of plum jam cakes, one third cheesecakes and 18 poppy. How many cakes she had bake? - Wood planks

1 m^{3}of wood planks costs 179 EUR. How much will I pay for 11 planks measuring 6 cm, 10 cm and 6 m? - Infants water

From the tank, which has 10 hectoliters of water for infants, went 580 liters at mornening and 340 liters in the afternoon. How many liters left in the tank? - Carpet

What is the price of square carpet side length 3.25 m if one meter square cost 230 CZK? - Wood

Wood density is 0.6 g/cm^{3}. How many kilograms weight 1 m^{3}of wood? - 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 - 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? - 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? - Sugar

From 3 tons of sugar beet was produced 480 kg of sugar. How many tons of sugar was produced from 17.5 tons of sugar beet? - Rectangle

The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm? - 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? - Angles in triangle

Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees. - Pool in litres

Pool has a width of 3.5 m length of 6 m and a height 1.60 meters. Calculate pool volume in liters. - Bicycle wheels

Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth? - Rectangle

The rectangle area is 182 dm^{2}, its base is 14 dm. How long is the other side? Calculate its perimeter.

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