# Grade - examples - page 182

1. Budget plan In the construction of the building, the planned budget exceeded 13%, which was 32,500 euros. How many euros cost built the building?
2. Workers Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
3. Is right triangle or not If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
4. Snacks The school attends 344 pupils. Half of them take snacks. 13 pupils who took snacks did not attend school. How many snacks left?
5. Cube diagonals The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal. Find radius of circle using pythagorean theorem where a=9, b=r, c= 6+r A meter pole perpendicular to the ground throws a shadow of 40 cm long, the house throws a shadow 6 meters long. What is the height of the house?
8. One kilogram The apple weighs 125 grams and half apple. How many apples weigh 1 kilogram?
9. Inverse matrix Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.
10. Parking At a building parking, 245 spaces are for cars, 56 are for vans and the rest are for buses. If 14% of all parking spaces are for buses, how many parking spaces are there in the building? How many spaces are for buses?
11. Third of an hour How many minutes is a third of an hour? Do you know to determine a third of the lesson hour (45min)?
12. The Hotel The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numbers sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in r
13. Tractors 5 tractors will plow the field for 8 hours. In 2 hours, 1 tractor broke down. How long do the remaining tractors complete the plow?
14. Three points 2 The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.
15. Resistance of the resistor The resistor terminals have a voltage of 20 V and a current of 5 mA is passed through. What is the resistance of the resistor?
16. Discount The dress was discounted by CZK 115, which was 12% of the original price. What is the cost of the dress after the discount?
17. I think I think a number. When I multiply it by five, and after that I subtract 477, I get the same number as if I multiplied it twice. What number do I think?
18. Passenger boat Two-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there?
19. Temperature 2 Sunday's high temperature was 3 degrees higher than Saturday's. On Monday, the temperature fell 5 degrees, then rose 7 degrees on Tuesday and 4 more on Wednesday. Then it fell 17 degrees to a record low of 31 on Thursday. What was the temperature on Saturd
20. CuSO4 mixture How many grams of solid CuSO4 we have to add to 450g of 15% CuSO4 solution to produce a 25% solution?

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