# Grade - examples - page 60

- A family

A family of four pays for garbage collection per year 1800 Kč. How many crowns a year the waste company get from the house where lives 93 people? - Passenger car

Passenger car travels 1 km for 2.3 minutes, a truck during a 50 seconds long. How much is the speed of the truck less? - Friends in cinema

5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter? - Rectangular triangles

The lengths of corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the contents of these triangles? Smaller rectangular triangle has legs 6 and 8 c - Shape

Plane shape has a maximum area 677 mm^{2}. Calculate its perimeter if perimeter is the smallest possible. - Diagonal

Can be a diagonal of diamond twice longer than it side? - Trains

Daily passes the same track section 8 pairs of trains with average 2400 passagers. How many people average travel in one train? - Surface area

The volume of a cone is 1000 cm^{3}and the content area of the axis cut is 100 cm^{2}. Calculate the surface area of the cone. - Digits

How many natural numbers greater than 4000 which are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many will the number of natural numbers less than 4000 and the numbers can be repeated? - Isosceles trapezoid

Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid. - Ascent and descent

Car goes 114 km track, which consists of ascent and descent at time of 1 hour 35 minutes. When climbing moves at the speed 48 km/h and downhill 25 m/s. What is the length of climb and descent? - Milimeters

The pool is 6 meters long, 3 meters wide and the water in it is filled with water to a height 1.9 m. When John jumped into it and completely submerged, the level has risen by 4.2 mm. How much weight John when we know that one liter of the human body weighs - Bricks wall

There are 5000 bricks. How high wall thickness of 20 cm around the area which has dimensions 20 m and 15 m can use these bricks to build? Brick dimensions are 30 cm, 20 cm and 10 cm. - Unknown integer

Find the smallest integer that: divided by 2, the remainder is 1 divided by 3 the remainder is 2, divided by 4 remainder is 3, ... divided by eight reminder is 7, by 9 reminder is 8. - Addition of Roman numbers

Added together and write as decimal number: XXXIV + MDCCXII - Cube corners

The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut? - ICE train

German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 100 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the total average train speed for both journeys - Brick

Isosceles scale has on one side all brick and second weight 1 kg and 1/4 of brick. The balance is in equilibrium. What is the weight of a brick? - Angle

Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle? - Minute-hand

How long distance will travel a large (minute) hand on the clock for 47 minutes, if its length is 43 cm?

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