# Grade - examples - page 119

- Medians and sides

Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - 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? - 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? - 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? - Wavelength

Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s. - Grandmother and grandfather

Grandmother baked cakes. Grandfather ate half, then quarter of the rest ate Peter and Paul ate half of rest. For parents left 6 cakes. How many cakes maked the grandmother? - 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? - Cube 8

The surface of the cube is 0.54 m^{2}. Calculate the length of the cube edge. - 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? - 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. - Bank

Paul put 10000 in the bank for 6 years. Calculate how much you will have in the bank if he not pick earned interest or change deposit conditions. The annual interest rate is 3.5%, and the tax on interest is 10%. - Angles in triangle

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

Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - The sum graphically

Draw a graphically sum of the all sides of 4-gon ABCD. - 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. - Triangle KLM

In the rectangular triangle KLM, where is hypotenuse m (sketch it!) find the length of the leg k and the height of triangle h if hypotenuse's segments are known mk = 5cm and ml = 15cm - Two numbers

Determine the numbers x and y so x + y = 8 is truth and the numbers are in the ratio of 4: 5. - 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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