# Grade - examples - page 156

1. Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its content area is 16 square centimeters.
2. Unknown number 16
My number's tens is three times more then ones My number's ones is twice the number of thousands and my number's hundreds is half the number of of tens. I have two ones. which number am I?
3. Ten fractions
Write ten fractions between 1/3 and 2/3
4. Sum of money
On a certain sum of money, invested at the rate of 10% compounded annually, the difference between the interests of the first year and the third year is 315 . Find the sum.
5. Dividends
The three friends divided the win by the invested money. Karlos got three eighths John 320 permille and the rest got Martin. Who got the most and which the least?
6. Excavator
The excavator bucket capacity is 0.5 m3. Determine the mass of sand that the excavator picks up. The sand density is 1650 kg/m3.
7. Chocolate
Children break chocolate first to third and then every part of another half. What kind got each child? Draw a picture. What part would have received if each piece have halved?
8. Zucchini
One zucchini costs 5 CZK. How much would cost four?
9. Cone
Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
10. Factory and divisions
The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
11. Blackberries
Daniel, Jolana and Stano collected together 34 blackberries. Daniel collected 8 blackberries more than Jolana, Jolana 4 more than Stano. Determine the number blackberries each collected .
12. Perimeter to area
Calculate the area of a circle with the perimeter 15 meters.
The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm.
14. Seals
There are 10 seals on floe. a) On Wednesday arrived a six and departed 2 seals. How many seals are on the floe? b) on Thursday arrived a 5 seals more then departed. How many seals are on the floe?
What is the diameter of a tree around which is 3m 9dm 7cm long rope wrapped? How big is its cross-sectional area?
16. Sales off
shoes cost x euros. First they are discounted by 50%, and then 25% of the new amount. Determine what percentage of the total cost is cheaper.
17. RT perimeter
The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference.
18. Division
Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
19. Two aces
From a 32 card box we randomly pick 1 card and then 2 more cards. What is the probability that last two drawn cards are aces?
20. Square glass
What is the area of the square window glass with the side 4 dm? Do you know how many cm2 is it?

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