# Grade - examples - page 77

- Cutting circles

From the square 1 m side we have to cut the circles with a radius of 10 cm. How many discs we cut and how many percent will be waste? - Cars

Johnny has 370 cars. Peter twice less. How many cars have Peter? - Mixing

If we mix 5 kg of goods of one kind and 3 kg second one, resulting mixture cost 16.50 EUR/kg. If these quantities are mixed in reverse - first three kilograms and 5 kilograms second cost of mixture is 18.50 EUR/kg. What is the price of one kg of goods of. - Right triangle

Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides. - Slovak broad track

Once upon a time, we learned in school that the Russians have "wider" tracks than our, because they have less tolerable ground. In truth, decide olny area of sleepers, no track gauge. Calculate how many millimeters, our track 1435 mm different from the R - Exponential equation

Solve exponential equation (in real numbers): 9^{8x-2}=9 - Cuboid - simple

Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm and c = 6 cm. - Decomposition

Make decomposition using prime numbers of number 155. Result write as prime factors (all, even multiple) - Similarity

The area of the regular 10-gon is 563 cm^{2.}The area of similar 10-gon is 606 dm^{2.}What is the coefficient of similarity. - Snow balls

Adam made 26 snowballs. Boris made less snowballs. How many snowballs Boris could do? - Cube basics

How long is the edge length of a cube with volume 23 m^{3}? - Coordinate

Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5^{x} - Car - road

Car started at 11:40 at speed 54 km/h from A and to B arrived at 12:20. Determine the distance A and B. - Quadrilateral

In the square ABCD point P is in the middle of the DC side and point Q in the middle pages AD. If the area of quadrilateral BQPC is 49 cm^{2,}what is the area of ABCD? - Rabbits

Michael breeding rabbits. His 7 rabbits will eat 98 feed rations for 7 days. How many equal portions of feed should be eat 5 rabbits in 6 days? - Circle chord

Determine the radius of the circle in which the chord 6 cm away from the center of the circle is 12 cm longer than the radius of the circle. - Office rent

For rent 1m^{2}of office space is paid €165 per year. How much is the annual rent for an office as big as a football field with dimensions 71.5 m and 102.5 m? - Diamond

Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area. - Powers

Is true for any number a,b,c equality:? ? - Traffic collision

When investigating a traffic accident, it was found that the driver stopped the vehicle immediately after the accident by constant braking on a 150 m track in 15 seconds. Do you approve that the driver exceeded the permitted speed (50 km/h) in the village.

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