# Examples for secondary school students - page 56

1. GP - 8 items Determine the first eight members of a geometric progression if a9=512, q=2
2. Exponential equation Solve for x: (4^x):0,5=2/64.
3. 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.
4. 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?
5. 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?
6. Olympics metals In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
7. Trapezium The lengths of a parallel sides of a trapezium are (2x+3) and (x+8) and the distance between them is (x+4). if the area of the trapezium is 590 , find the value of x.
8. Cube walls Find the volume and surface area of the cube if the area of one wall is 40cm2.
9. AP - basics Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
10. Volleyball 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
11. Sequence - 5 members Write first five members of the sequence ?
12. Boxes 200 boxes have been straightened in three rows. The first was 13 more than in the second, and in the second was one fifth more than in the third one. How many boxes are in each row?
13. Triangular prism The perpendicular triangular prism is a right triangle with a 5 cm leg. The content of the largest wall of the prism is 130 cm2 and the body height is 10 cm. Calculate the body volume.
14. Rhombus OWES OWES is a rhombus given that OW 6cm and one diagonal measures 8cm. Find its area?
15. Seats Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
16. Trucks Three lorries droved bricks. One drove n bricks at once, second m less bricks than the first and third 300 bricks more the first lorry. The first lorry went 4 times a day the largest went 3 times a day and the smallest 5 times a day. How many bricks br
17. Warehouses In the three warehouses, a total of 70 tons of grain was stored. In the second warehouse was stored 8.5t less and in the third 3.5t more than in the first. How many tons of grain was stored in each warehouse?
18. Empty canister The canister is filled with oil weight 17 kg. If filled only half weight 9 kg. What weight does my empty canister have?
19. Enterprise company 30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company?
20. 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.

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