# Examples for 9th grade - page 99

- Cutting square

From a square with a side of 30 cm, we cut the circle with the highest possible diameter. How many percents of the square content is this circle? - Hexagon ABCDEF

In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area. - Two masters

The two masters will make as many parts as five apprentices at the same time. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift? - Special watch

Fero bought a special watch on the market. They have only one (minute) hand and a display that shows which angle between the hour and minute hand. How many hours it was when his watch showed - the minute hand points to number 2; the display shows 125°? - Sss triangle

Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - Stamps 2

Dennis spent 34.15 on stamps. The number of .56 is 10 less than four times of stamps bought for .41. How many of each stamp did he buy? - Square metal sheet

Four squares of 300 mm side were cut out from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet. - Cube cut

The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Land

Rectangular triangular land has area 30 square meters and 12 meters long leg. How many meters of the fence do you need for fencing this land? - Cube root

Find cube root of 18 - Isosceles trapezoid

The old father decided to change the top plate of an isosceles-like trapezoid with the basic dimensions of 120 cm and 60 cm, and the shoulder is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros? - The larger

The larger of two numbers is nine more than four times the smaller number. The sum of the two numbers is fifty-nine. Find the two numbers. - Mushrooms

Grandfather gathered fresh mushrooms. The fifth was wormwood, and it was thrown away, the other dried up. He obtained 720 grams of dried mushrooms. How many kilograms did the grandfather collect, and by drying the mushrooms they lost 75% of their weight? - Scientific notation

Approximately 7.5x10^{5}gallons of water flow over a waterfall each second. There are 8.6x10^{4}seconds in 1 day. Select the approximate number of gallons of water that flow over the waterfall in 1 day. - Bulb

A 60 W bulb consumes 0.12 kWh of electricity. How long did she stand light without a break? - Square sides

If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side. - Honza

Honza is 13 years old and Peter 21 years old. After how many years are their ages will be at ratio 7: 9? - Oranges

Mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there? - Age

In 1960 my age was equal to the digits sum of the year of my birth. What is my age now? - Apples

Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg Jonathan and how much Golden?

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