# Examples for 7th grade (seventh) - page 70

1. Rainfall How many liters of water did fell in a 32m long and 8m wide garden, if 8mm of rain fell?
2. Suzan Susan's age will be after 12 years four times as much as twelve years ago. How old is Susan now?
3. Cubes into cuboid How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8?
4. Trapezium bases Find the trapezium height if a = 8 cm and c = 4 cm if its content 21 square centimeters.
5. Trapezoid ABCD ABDC is a trapezoid in which AB and CD are parallel sides measuring 6 and 9 respectively. Angles ABC and BCD are both right angles. Find the length of segment BD.
6. Pears There were pears in the basket, I took two-fifths of them, and left six in the basket. How many pears did I take?
7. Summands Find two summands of the number 42, so that its product is minimized.
8. Square area Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area .
9. Bicycle gears The toothed wheel on the bicycle pedal has 40 teeth, the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?
10. Warmer weather This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer?
11. Surface area of the top A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder.
12. Windbreak A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
13. Water block A block with a 50 cm2 base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water?
14. Ľé sweets There are 20 sweets in the bag. Some are chocolate, other coconuts, and the remaining marzipan. Chocolate is 4 times more than coconut. Marzipan's less than chocolate. How much is in a bag of coconut sweets?
15. Train delay The train should be in the station for 10 minutes. It still has 32 km left. What is the expected delay if the train travels in 2 minutes 3 km except for the last section where it is 2 km in 5 minutes.
16. Garden The garden around the new majer is divided as follows: 35% vegetable, 30% fruit orchards, 10% flowers and the remaining 120 m2 are lawns. What is the total area of the garden?
17. Percentages What is 1/3 of \$821.43? Miro stands under a tree and watching its shadow and shadow of the tree. Miro is 180 cm tall and its shade is 1.5 m long. The shadow of the tree is three times as long as Miro's shadow. How tall is the tree in meters? Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. Farmers seeded maize to 45 ha, which is 15% of their total farmland. How many hectares of fields they have?