# Grade - examples - page 151

- Body diagonal

The cuboid has a volume of 32 cm^{3.}Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Variance and average

Of the 40 values were calculated average mx = 7.5 and variance sx = 2.25. After the control was found to lack the two items of the values of x41 = 3.8 and x42=7. Correct the above characteristics (mx and sx). - Desribed circle to rectangle

Rectangle with sides 6 cm and 4 cm was circumscribed circle. What part of the content of the circle determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Blueberries

Miko and Anton have a total of 1,580 blueberries. Miko and Anton have them in the ratio 2: 3. Determine how much each of them has. - Probably member

Look at the series 2,6,25,96,285, ? What number should come next? - GP - 8 items

Determine the first eight members of a geometric progression if a_{9}=512, q=2 - First class

The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective? - Wall diagonal

Calculate the length of wall diagonal of the cube whose surface is 384 cm square. - Rainfall

The annual average rainfall in India was in Cherrapunji in the year 1981 26 461 mm. How many hectoliters of water fell on 1 m^{2}? Would fit this amount of water into a cube of three meters? - 3 masons

3 masons received 7,700 CZK. The second half received 1/2 more than the first and third twice more than the second mason. How much they each got crowns? - Doubling

The message is spreading that each day has doubled the number of people who know about it. All know message for 20 days. How long known it eighth people? - Exponential equation

Solve for x: (4^x):0,5=2/64. - Candies

The price for 1 kg of more expensive candies is 125 CZK. The price for 1 kg of cheaper candy is 100 CZK. We mix two different mixtures of candy. A) The first mixture contains 2 kg more expensive and 0.5 kg cheaper candy. Calculate the price for 1 kg of t - The cylinder base

The cylinder with a base of 8 dm^{2}has a volume of 120 liters. From a cylinder fully filled with water, 40 liters of water was removed. At what height from the bottom /with precision to dm/ is the water level? - Cakes

On the bowl were a few cakes. Jane ate one-third of them, Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on thebowl? - Liter of gold

What weight does 1 dm^{3}of gold have? Gold density is 19,300 kg / m^{3} - Combinations

From how many elements we can create 990 combinations 2nd class without repeating? - The pool

The pool has a volume of 40 m^{3}and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Italian writer

There were 17 children in the barracks with an Italian writer. 6 children ordered a book in an Italian original and 12 children in the translation. How many children ordered a book in both languages if the three children did not order it? - Resistance

Determine the resistance of the bulb with current 200 mA and is in regular lamp (230V).

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