# Grade - examples - page 14

- Ladder

Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. In which height ladder touches the wall? - Infinity

In a square with side 18 is inscribed circle, in circle is inscribed next square, again circle and so on to infinity. Calculate the sum of area of all these squares. - Bureau of Labor

Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense the - Cents

Julka has 3 cents more than Hugo. Together they have 27 cents. How many cents has Julka and how many Hugo? - Tower

The top of the tower is a regular hexagonal pyramid with base edge 8 meters long and a height 5 meters. How many m^{2}of sheet is required to cover the top of the tower if we count 8% of the sheet waste? - VAT

John paid 100 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%. - Reconstruction of the corridor

Calculate how many minutes will be reduced to travel 187 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time, if we consider that the train must stop at 6 stations, eac - TV fail

The TV has after 10,000 hours average 25 failures. Determine the probability of TV failure after 200 hours of operation. - Word

What is the probability that a random word composed of chars T, H, A, M will be the MATH? - R Trapezium

Rectangular trapezium has bases 12 and 5 and area 84 cm^{2}. What is its perimeter? - Trolleybus

Trolleybus line No. 206 measured 24 km. If the trolleybus goes faster by 5 km/h, the way there and back would is shorter by 33 minutes. Calculate the trolleybus speed and how much time it takes a return trip. - One half

One half of ? is: ? - Air mass

What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m ? The air density is 1.293 kg/m^{3}. - Cube

Calculate the surface cube with edge 11 dm. - The cyclist

The cyclist went from village to town. First half of journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journey took 88 minutes. Calculate the distance from the village to the town. - 2nd class variations

From how many elements you can create 6972 variations of the second class? - Arc and segment

Calculate the length of circular arc l, area of the circular arc S_{1}and area of circular segment S_{2}. Radius of the circle is 33 and corresponding angle is ?. - Gear wheels

Two gear wheels, which fit together have the number of teeth z_{1}=58 and z_{2}=149. Calculate the speed of the first wheel, if the second wheel rotates 1232 revolutions per minute. - Triangle

Can be rectangular triangle equilateral? - Angles

Determine the interior angles of a rhombus with area 319.1 cm^{2}and perimeter 72 cm.

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