# Examples for 8th grade - page 69

- Right triangles

How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget to the triangle inequality). - Water lake

The length of the lake water is 8 meters width 7 meters and depth 120 centimeters. How many liters of water can fit into the water lake? - Locomotive

Locomotive pulled a train permanent load of 200 kN horizontally along the track of 5km. What work it done? - Isosceles trapezoid v3

In an isosceles trapezoid ABCD is the size of the angle β = 81° Determine size of angles α, γ and δ. - Dealer

Dealer sell digital camera for € 474. Thirty percent of the price was his profit. After some time, decreased interest in selling the camera and therefore reduce its sales price by 11 %. How many percent of the new price now is dealer's profit? Round the - Product - quadratic equation

Product of two numbers is 900. If we increase lowest number by 2 then product will increase by 150. Determine both numbers. - Tonic

One package tonic consume Mom 12 weeks and daughter for 14 weeks. 4 weeks they use the same cream together and then only daughter. How many weeks endured tonic to daughter then? - Three friends

The three friends spent 600 KC in a teahouse. Thomas paid twice as much as Paul. Paul a half less than Zdeněk. How many each paid? - Painting

The room is long 50 meters and wide 60dm and 300 cm high. Calculate how much it will cost painting if area of windows and doors is 15% of the total area. One square meter cost 50cents. - Gasoline

For nearly full tank of 40 liters of gasoline chauffeur paid 54 euros. How many euros it will cost to go 250 km long if the car has an average fuel consumption 7 liters per 100 kilometers? - Wood cuboid

What is the weight of the wood cuboid 15 cm, 20 cm, 3 m if 1 m^{3}wood weighs 800 kg? - Odd numbers

The sum of four consecutive odd numbers is 1048. Find those numbers ... - Hostel

Students are accommodated in 22 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 106 children there? - Digging

A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m X 30m. What is the increase in the level of the plot ? - Real estate

Residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of this three numbers. - Enrollment

The enrollment at a local college increased 4% over last year's enrollment of 8548. Find the increase in enrollment (x_{1}) and the current enrollment (x_{2}). - Task of the year

Determine the number of integers from 1 to 10^{6}with ending four digits 2006. - Freezer

The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, 30 cm. A layer of ice of 23 mm thick was formed on the inner walls (and on the opening) of the freezer. How many liters of water will drain if we dispose the freezer? - Four swords

Obelix has three helmets, four swords and five shields. How many swords must make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor? - Sphere vs cube

How many percent of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere?

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