# Grade - examples - page 20

- Equilateral triangle

How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 19 cm from it? - Ships

At 8:40 the ship set sail at 12 km/h. At 19:10 followed by at 29 km/h sail boat. When sail boat catches up the ship? How many minutes will catch up took? - Shelf

How many ways are there to arrange 6 books on a shelf? - Hexagon A

Calculate area of regular hexagon inscribed in circle with radius r=9 cm. - RBA

Regional Building Authority has an annual budget of EUR 1806814. In previous calendar year has processed 804 approval procedures. How much does an average of one building approval costs (eg unsuccessful revoke)? - Leg and height

Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m. - Similarity coefficient

The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of the larger triangle. - Orchard

9 trees in 2 lines grows in the orchard. How many trees are in the orchard? - Gold wire

From one gram of gold was pulled wire 2.1 km length. What is it diameter if density of Au is ρ=19.5 g/cm^{3}? - I think number

I think number.When I add 841 to it and subtract 157, I get a number that is 22 greater than 996. What number I thinking? - Balls

Three metal balls with volumes V_{1}=71 cm^{3}V_{2}=78 cm^{3}and V_{3}=64 cm^{3}melted into one ball. Determine it's surface area. - Circle

How big is area of circle if its circumference is 80.6 cm? - Regular quadrangular pyramid

How many square meters is needed to cover the tower the shape of regular quadrangular pyramid base edge 10 meters, if the deviation lateral edges from the base plane is 68 °? Calculate coverage waste 10%. - Metallurgical enterprise

Metallurgical company daily produces 318 tons of cast iron. How many tons of coke it burns to melt cast iron when 10 tons of cast consumes 6 tons of coke? - Number ratio

Calculate two positive numbers that its ratio is 6:6 and difference was 0. - Axial section

Axial section of the cylinder has a diagonal 31 cm long and we know that the area of the side and the area of base is in ratio 3:2. Calculate the height and radius of the cylinder base. - Center

Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18]. - Ratio

6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers? - Chocolates

In the market have 4 kinds of chocolates. How many ways can we buy 19 chocolates? - Plumber

Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it?

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