# Grade - examples - page 117

1. Equilateral triangle v3
Calculate the content of the colored gray part. Equilateral triangle has side length 8 cm. Arc centers are the vertices of a triangle.
2. Bundle of candies
In the store has 168 chocolates, caramel candies 224 and 196 hard candies. How many packages we can do and how many of candies will be in each package?
3. Jam cakes
Mom baked a third of plum jam cakes, one third cheesecakes and 18 poppy. How many cakes she had bake?
4. Scalar dot product
Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120°
5. The farmer field
The field has paralleogram shape with dimensions side a = 80 m and height 296 m. Two and two sides is at angle 80°. Calculate acreage of field in hectares.
6. Cakes Z8-I-5
Mom brought 10 cakes of three types: kokosek was less than laskonek and most were caramel cubes. John chose two different kinds of cakes, Stephan did the same and for Margerith leave only the cakes of the same type. How many kokosek, laskonek and caramel c
7. Chors centers
The circle with a diameter 17 cm, upper chord /CD/ = 10.2 cm and bottom chord /EF/ = 7.5 cm. The midpoints of the chords H, G is that /EH/ = 1/2 /EF/ and /CG/ = 1/2 /CD/. Determine the distance between the G and H, if CD II EF (parallel).
8. Wood planks
1 m3 of wood planks costs 179 EUR. How much will I pay for 11 planks measuring 6 cm, 10 cm and 6 m?
9. Enterprise
The value of annual production enterprise is 7.1 million USD. The average annual growth rate is 1.5%. What will be value of production at the end of the fifth year?
10. Car factory
A workshop had produced 25 cars. While they produced about 15 fewer than they had planned. How many cars they produced in the hall yet? How many cars are still to manufacture?
11. Salami
How many ways can we choose 5 pcs of salami, if we have 6 types of salami for 10 pieces and one type for 4 pieces?
12. Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take swimming belt to use it to float on water? The density of the human body is 1050kg/m3 and cork 300kg/m3. (Instructions: Let the human body and cork on a mixture that has a density of 1000kg/m
13. Wood
Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?
14. Carpet
What is the price of square carpet side length 3.25 m if one meter square cost 230 CZK?
15. Infants water
From the tank, which has 10 hectoliters of water for infants, went 580 liters at mornening and 340 liters in the afternoon. How many liters left in the tank?
16. Binomials
To binomial ? add a number to the resulting trinomial be square of binomial.
17. Ethernet cez ulicu
Karol a Jozef sú vášniví hráči počítačových hier a býva v domoch, ktoré sú presne naproti sebe cez ulicu, takže si vidia navzájom do okien. Rozhodli sa, že si svoje počítače prepoja telefónnym káblom aby mohli hrať spoločne hry. Karol býva v prvom poschodí
18. Value
Determine the value of the following exspressions: a) (23-25)·(4-5) b) (97-123):(18+8)
19. Magic belt
The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had a content area 4 cm2. What was its original length if the original wid
20. Playground
Fencing square playground cost € 464; 1 meter cost € 19. What is the area of the playground?

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