# Examples for 7th grade (seventh) - page 64

1. Unknown number Determine the unknown number, which double of its fourth square is equal the fifth its square.
2. Vacation Tomas spent 60% of his savings for his weekly vacation. He was 32 € left. How many euros did he have before vacation?
3. 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?
4. Rhombus If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
5. Square s3 Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
6. 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?
7. Dividing Divide the three line segment 13 cm, 26 cm and 19.5 cm long for parts so that the individual parts were equally long and longest. How long will the individual parts and how many it will?
8. 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.
9. Cremons The freight wagon is shaped like cuboid 21m and 3.5m and 4.2m How many cremons can be loaded if one is a cube with an edge length of 7 cm?
10. Oceans The Earth's surface is approximately 510,000,000 km2 and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5 and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean?
11. Argicultural field Field has a rectangular shape with a width 180 m and circumference 940 m. How many hectares acreage has field?
12. Two sisters Two sisters together have 54 CDs. 6/8 CDs has younger sister and is equal to 3/5 of CDs older sisters. How many CDs has each of the sisters?
13. Syringe and patient In 1 ampoule of 2 ml is 15 mg of Dipidol. The patient should receive 10 mg. How much ml do I draw into the syringe?
14. Classroom One-eighth of 9th class was interested in studying at a grammar school, at a business academy one sixth, at secondary vocational schools quarter, to SOU one third and the remaining three students were interested in the school of art direction. How many st
15. Triangle ABC Construct a triangle ABC is is given c = 60mm hc = 40 mm and b = 48 mm analysis procedure steps construction
16. Pedestrian Dana started at 10:00 from the point A to point B. These points are distant 12 km. Determine how fast Daniel went when the place B arrived at 11:54. Speed express in km/h.
17. 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.
18. 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.
19. Perimeter to area Calculate the area of a circle with the perimeter 15 meters. What is the diameter of a tree around which is 3m 9dm 7cm long rope wrapped? How big is its cross-sectional area?