# Grade - examples - page 78

- Diamond

Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area. - Rabbits

Michael breeding rabbits. His 7 rabbits will eat 98 feed rations for 7 days. How many equal portions of feed should be eat 5 rabbits in 6 days? - Circle chord

Determine the radius of the circle in which the chord 6 cm away from the center of the circle is 12 cm longer than the radius of the circle. - Powers

Is true for any number a,b,c equality:? ? - Similarity

The area of the regular 10-gon is 563 cm^{2}. The area of similar 10-gon is 606 dm^{2}. What is the coefficient of similarity. - Average

Average of 7 numbers is 65. What is its sum? - Czech crowns

Small Petra save money. Grandfather give her 10 crowns. Petra asked his older sister let her calculate how much he has saved up. Sister told her that he has less than 30 crowns. If the sum is divided by three left one crown. If the sum is divided by the f - Tent

Calculate how many liters of air will fit in the tent that has a shield in the shape of an isosceles right triangle with legs r = 3 m long the height = 1.5 m and a side length d = 5 m. - Cellar

Cellar for storing fruit has a rectangular base with sides 14 m and 7 meters. You should paint sidewall to 2 m. How m^{2}surface must be painted? - Office rent

For rent 1m^{2}of office space is paid €165 per year. How much is the annual rent for an office as big as a football field with dimensions 71.5 m and 102.5 m? - Tons of coal

Coal hopper has a capacity of 285 liters. How many tons is it? The bulk density of coal is 916 kg/m^{3}. - Garden

The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m^{2}. Calculate the dimensions of the garden. - Rectangle and circle

The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many cm is circle long. - Vector

Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5]. - Sequence 3

Write the first 5 members of an arithmetic sequence: a_{4}=-35, a_{11}=-105. - Trees

Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, left them 8 trees. If they seed in rows of 43, left the 11 trees. How many trees must seed ? - Machines 2

2 machines for 50 hours produces 2,000 products. How many machines need to buy to make in 30 hours 15,000 products? - Oil tank and pipes

The underground oil tank can be filled by two oil pipelines. The first is filled in 72 hours and the second in 48 hours. How many hours from the moment when first pipeline began to fill the oil is it necessary to start filling it with the second to fill in - Three friends

Three friends squirrels together went to collect hazelnuts. Zrzecka he found more than twice Pizizubka and Ouska even three times more than Pizizubka. On the way home they talked while eating and was cracking her nuts. Pizizubka eaten half of all nuts whi - Road - permille

5 km long road begins at an altitude 500 meters above sea level and ends at a altitude 521 ASL. How many permille road rises?

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