# Grade - examples - page 30

- Sphere A2V

Surface of the sphere is 241 mm^{2}. What is its volume? - Magnification of the square

If we increase the square side, increase the content of the 80 %. About what percentage was increased his sides? - Trigonometry

If you know that cos(γ) = sin (806°), what is the angle γ? - Hollow sphere

Steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and density of steel is 7850 kg/m^{3} - Cardboard box

We want to make a cardboard box shaped quadrangular prism with rhombic base. Rhombus has a side of 5 cm and 8 cm one diagonal long. The height of the box to be 12 cm. The box will be open at the top. How many square centimeters cardboard we need, if we cal - Valid number

Round the 453874528 on 2 significant numbers. - Like

When is in 14 barrels 140 liters of water, how many liters barrels of 8 liters I need to get all the water from the larger barrels? - Scouts

The boys from scout group traveled 5 days distance 115 km. Every day walked 1.5 km less than the previous day. How many kilometers scouts walked in the first day? - Box

Cardboard box shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm and one diagonal 8 cm long and height of the box is 12 cm. The box will open at the top. How many cm^{2}of cardboard we need to cover overlap and joints that are 5% of ar - Apples

Hanka has 6 apples more than Juro and 7 apples less than Mirka. Mirka has 23 apples. How many apples has Hanka and how many Juro? - Tanker

An oil tanker can be emptied by the first pump in 4.9 hours. Second pump can empty an tanker in 8 hours. If the first pump started at 4:00 and second 1.4 hour later, at what time will the tanker be empty? - Election mathematics

In elections, 12 political parties received this shares of voters: party A 56.2 %party B 8.5 %party C 8.2 %party D 6.2 %party E 6.1 %party F 5.5 %party G 3.2 %party H 2.1 %party I 2 %party J 1 %party K 1 % Calculate what the shares acquired in the parlia - Sea on the Moon

Assume that the Moon has sea, the same composition as on the Earth (has same density of salt water). Calculate dive of boat floating in the sea on the Moon, when on Earth has dive 3.6 m. Consider that the Moon has 6.5-times smaller gravitational accelerati - Dog II

Journey from a rangers' home to the town is 6 km. Mr. ranger started from his home and went 3 km per hour. His women came from the town and also went 3 km per hour. With ranger started dog and runs in 12 km in 1 hour. The dog went to ranger's women then. - Morse alphabet

Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters. - Cone and the ratio

Rotational cone has a height 23 cm and the ratio of the base surface to lateral surface is 7: 9. Calculate a surface of the base and the lateral surface. - Train

The train is running at speeds of 96 km/h. From the beginning of braking to full stop train run for 3.3 minutes. If the train slows the braking equally, calculate the distance of the place from the station where you need to start to brake. - Q-Exam

If tg α = 0.9, Calculating sin α, cos α, cotg α . - EQL triangle

Calculate inradius and circumradius of equilateral triangle with side a=77 cm. - Sector

The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes.

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