# Grade - examples - page 33

- Pumps

Pump that draws water at velocity 3.5 liters per second water from a construction trench take 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What is the pumping velocity wo - Nine-gon

Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 13 cm. - Compass

What angle are between directions WSW (WestSouthWest) and SSE (SouthSouthEast) on the compass? - 3y inflation

Price of the roll rise in the first year by 9%, the second year fell by 5% and in the third year increased by 3%. Calculate the average annual increase in price of the roll. - Sphere and cone

Within the sphere of radius G = 33 cm inscribe cone with largest volume. What is that volume and what are the dimensions of the cone? - Lock

Combination lock will open when the right choice of 5 numbers (from 1 to 12 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately? - Side c

In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c. - Pit

Pit has shape of a truncated pyramid with rectangular bases and is 0.8 m deep. The length and width of the pit is the top 3 × 1.5 m bottom 1 m × 0.5 m. To paint one square meter of pit we use 0.6 l of green colour. How many liters of paint is needed when w - Ratio

Increase in the ratio 20:4 number 18.5. - Black building

Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m^{2}for small building. Building not built in accordance with the law is called "black building". Calculate the angle that the walls were clenchin - Road

Average climb of the road is given by ratio 1:15. By what angle road average climb? - AVG of INT

What is the average of the integers from 9 throuht 52 inclusive? - Height difference

What height difference overcome if we pass road 1 km long with a pitch21 per mille? - Circle

From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x_{0}, y_{0}] and radius of the circle r. - Cuboid

Find the cuboid that has the same surface area as the volume. - Fractions

Sort fractions ? by its size. Result write as three serial numbers 1,2,3. - Hexagon

Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter? - Lid

What is the weight of concrete cover (lid) to round shape well with a diameter 1.8 m, if the thickness of the cover is 11 cm? 1 m^{3}of concrete weighs 2190 kg. - Elevation

What must be the elevation of an observer in order that he may be able to see an object on the earth 782 km away? Assume the earth to be a smooth sphere with radius 6378.1 km. - Pizza master

Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?

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