# Grade - examples - page 151

1. Two monuments The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km.
2. 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?
3. Unknown amount of money Damian and Denis split an unknown amount in the ratio of 5:4 . Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money got Damian and how Denis.
4. Comparing salaries Spouses compared salaries. Mrs. Janka found that a 20% higher salary than Mr Jaroslav. Together earned € 1,430. How much they earn each of them?
5. 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(%).
6. Wall diagonal Calculate the length of wall diagonal of the cube whose surface is 384 cm square.
7. PC disks Peter has 45 disks in three colors. One-fifth of the disks are blue, red are twice more than the white. How much is blue, red and white disks?
8. Probably member Look at the series 2,6,25,96,285, ? What number should come next?
9. Unknown number Determine the unknown number, which double of its fourth square is equal the fifth its square.
10. Vacation Tomas spent 60% of his savings for his weekly vacation. He was 32 € left. How many euros did he have before vacation?
11. Combinations From how many elements we can create 990 combinations 2nd class without repeating?
12. 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?
13. Equation algebraogram Solve the equation: oco + ivo = cita How much has the task of solutions?
14. 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 m2? Would fit this amount of water into a cube of three meters?
15. Rhombus If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
16. Square s3 Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
17. Tickets 3 A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How many adult tickets were sold?
18. The cylinder base The cylinder with a base of 8 dm2 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?
19. GP - 8 items Determine the first eight members of a geometric progression if a9=512, q=2
20. Exponential equation Solve for x: (4^x):0,5=2/64.

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