# Grade - examples - page 31

- Glass of juice

Glass of juice shaped cylinder 16 cm height and base diameter of 7 cm is filled with juice so that the level is 4 cm below the rim of the glass. Determine the maximum angle of the cup can be tilted and juice don't overflow. - Denominator

Calculate the missing denominator x: ? - Fuel consumption

Citroen car has an average diesel consumption of 4 liters per 100 kilometers. What is the car range for a full tank of volume 62 liters? - Purchase

Mother bought 5 boxes of milk and 7 kg of potatoes and paid a total CZK 147. Aunt bought 7 boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How CZK together would have saved if bought at the - Electronics: Resistors in parallel

From relation for calculating the resistance of parallel combination of resistors: ? Calculate the R, if R_{1}= 2Ω a R_{2}= 15Ω - Height difference

What height difference overcome if we pass road 1 km long with a pitch21 per mille? - Euclid2

In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle. - School

27 students of 6.D class is going to a trip. They pay 9 € each. The teacher got 153 €. How many children have not paid? - Apples

Hanka has 6 apples more than Juro and 7 apples less than Mirka. Mirka has 23 apples. How many apples has Hanka and how many Juro? - Cyclist

A cyclist is moving at 35 km/h and follow pedestrian who is walking at speed 4 km/h. Walker has an advantage 19 km. How long take cyclist to catch up with him? - Carpenter

You want to cut long board into smaller pieces. Carpenter said that one cut of the board into two pieces will cost you 100 cents. But you need to cut the board into 9 parts. How much you pay? - Fractions

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

Mr. Gherkin use for fertilization 8% solution of fertilizer. 4 liters of it still left. How much water must be added to the solution to make only 4% solution? - Circular sector

I have a circular sector with a length 15 cm with an unknown central angle. It is inscribed by a circle with radius 5 cm. What is the central angle alpha in the circular sector? - Hexagonal prism

The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Calculate the volume and surface of the prism! - Pedestrian and cyclist

Pedestrian out with a speed of 4 km/hour from city center and after 1hour and 10 minutes came after him cyclist at speed of 18 km/h. At how many minutes he catches up with pedestrian? - Garden

How many steps of 76 cm circumvent square garden with area 1.8 ha? - Plasticine ball

Plasticine balls have radius r_{1}=75 cm, r_{2}=35 cm, r_{3}=91 cm. For these balls are molded one big ball. Calculate the radius r of the resulting ball. - Hiker

Hiker went half of trip the first day, the third of trip the second day and remaines 15 km. How long trip he planned? - Car factory

Carmaker now produce 4 cars a day more than last year, so the production of 388128 cars will save just one full working day. How many working days needed to manufacture 388128 cars last year?

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