Grade - examples - page 135

1. Common cylinder I've quite common example of a rotary cylinder. Known: S1 = 1 m2, r = 0.1 m Calculate : v =? V =? You can verify the results?
2. Square roots What is equal to the product of the square roots of 295936?
3. 2d shape Calculate the content of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of the segment AB is 5 cm. Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
5. Trickster 2 Figliarko had in wallet a few cents. One friend returned 4 cents and another friedn 7 cents. Now he has 51 cents in the wallet. How many cents previously had in his wallet?
6. The shop The shop has 3 hectoliters of water. How many liter bottles is it?
7. Tank How many minutes does it take to fill the tank to 25 cubic meters of water filled 150hl per hour?
8. Cycling trip At 8 am started a group of children from the camp to day cycling trip. After 9:00 weather deteriorated sharply and the leader decided to send for the children bus on the same route, which started at 10 hours. For how long and at what distance from the camp
9. Two planes Two planes flying from airports A and B, 420 km distant against each other. Plane from A took off 15 minutes later and flies at an average speed of 40 km/h higher than the plane from B. Determine the average speed of this two aircraft if you know that it
10. Digits How many five-digit numbers can be written from numbers 0.3,4, 5, 7 that is divided by 10 and if digits can be repeated.
11. Sales off Calculate what was the original price of the good, if the price after discount 25% and the subsequent rise of 20% is 400 USD.
12. Plot The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1: 500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size.
13. Men, women and children On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
14. Cube How many times increases the surface area of a cube with edge 23.4 cm if the length of the edge doubled?
15. Pumps Five pumps pumped 1,800 hl of water for 3 hours. How many hectoliters of water pump same two powerful pumps for six hours?
16. Lcm 2 Create the smallest possible number that is divisible by numbers 5,8,9,4,3
17. Cards From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
18. Troops If the general sorts troops into the crowd by nine left 6. How many soldiers has regiment if we know that they are less than 300?
19. Cinema 4 In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
20. Base, percents, value Base is 344084 which is 100 %. How many percent is 384177?

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