# Examples for 8th grade - page 9

- 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 49 and corresponding angle is ?. - Ladder

Ladder 6 m long is leaning against the wall. It foot is 1.3 m away from the wall. In which height ladder touch the wall? - Workers

Workers A and B will done work together for 20 days. They worked together 18 days. Then A worker became ill and worker B finish the job alone for 11 days. If every worker was working alone, how many days took whole work for worker A and B? - Camel

Camel owner wants to get out of the city into oasis. He bought 3000 bananas, which wants to sell in oasis. However oasis from the city divided 1,000 kilometers of desert. Camel can carry at one time up to 1000 bananas, and for every kilometer traveled, ea - Rotation of the Earth

Calculate the circumferential speed of the Earth's surface at a latitude of 53.7°. Consider a globe with a radius of 6378 km. - Circular pool

The base of pool is circle with a radius r = 10 m excluding circular segment that determines chord length 10 meters. Pool depth is h = 2m. How many hectoliters of water can fit into the pool? - Pump

What power has a pump output to move 4502 hl of water to a height of 32 m for 5 hours? - 2nd class variations

From how many elements you can create 6480 variations of the second class? - Plastic pipe

Calculate weight of the plastic pipe with diameter d = 60 mm and length 400 cm if the wall thickness is 6 mm and the density of plastic is 1228 kg/m^{3.} - Workers

Two workers fulfill a certain task when working together for 7 days, the first if he worked himself done work in 18 days. How many days will do whole job a second worker? - Gear wheels

Two gear wheels, which fit together have number of teeth z_{1}=132 and z_{2}=123. Calculate the speed of the first wheel, if the second wheel rotates 247 revolutions per minute. - Tape

Video is 250% more expensive than tape recorder. How many percent is tape recorder less expensive than video? - Rhombus

Find the length of the other diagonal and area of rhombus. The perimeter of a rhombus is 40 cm and one of the diagonals is of length 10 cm. - Cylinder - basics

Cylinder with base radius r = 37 cm and height h=74 cm. Calculate: - Climb

On the road sign, which informs the climb is 20%. Car goes 5 km along this road. What is the height difference that car went? - Acid

The barrel is 239 litres of 31% acid. How many percent acid occurs when 88 litres revoke and replace it with the same amount of water? - Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 236 dm. - Prism X

The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 48000 cm^{3.}What is the area of surface of the prism? - Pizza

Pizza with a diameter 41 cm have weight 531 g. What diameter will have a pizza weighing 749 g if it is make from the same cloth (same thickness....) and same decorated? - One half

One half of ? is: ?

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