# Examples for 7th grade (seventh)

- The cube

The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length? - Mixing Celsius and Fahrenheit

Add up three temperatures: 5°F +6°F +0°C - Cube root

For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong? - Flowerbed

Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Inlet minus outlet

Water flows into the tank through two pipes and flows out of the third pipe spontaneously. The pipe A itself would fill the tank in 3 hours, the pipe B itself would fille in 4 hours, and the pipe C itself would flow out in 12 hours. How long will the tank - Pencil cut

Veronika cut 10cm pencil. Each turn, the pencil was reduced by 0.2mm. She turned the pencil 100 times. How many centimeters has a pencil now? - Tony works

Tony works as a welder for a construction company. His hourly wage is $15.51 and he works 40 hours per week. Tony gets a paid vacation each year. The construction company is doing well and has plenty of work for the next year. Tony can expect to work the - In the

In the national park, the ratio of the wooded area to grassland is 4: 1. The total area is 385km2. What area is wooded? - Poplar

How tall is a poplar by the river, if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root and 35m from the trunk to the top of the poplar? - Wood dividing

Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of wood that is 7 feet long? - Velocipedes

In the 19th century, bicycles did not have a chain drive, and the pedals were connected directly to the wheel axis. This wheel diameter gradually increased until the so-called high bicycles (velocipedes) with a front wheel diameter of up to 1.5 meters, wh - Closed drum

Find the total surface area of a closed cylindrical drum if it's diameter is 50 cm and height is 45 cm . (π= 3.14) - Constant motion

The car has undergone constant motion 120 km in 1 hour 30 minutes. Determine its average speed. Determine how long car drove in the first 20 minutes and 50 minutes from the start of the move. - Greg and Bill

Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill? - Pumps

After the floods, four equally powerful pumps exhausted water from the flooded cellar in 6 hours. How many hours would take a drained out with three equally powerful pumps? - Round-trip

A woman works at a law firm in city A which is about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 40 mph. - Construction of road

For the construction of the road dam, it is supposed to transport six trucks a total of 18 days. After three days, two more cars were sent to the construction site. How long will it take to carry the material? - Sum of dividend

If X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X? - Half-sphere roof

The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is the cost of this roof, if the cost of 1 square meter is 12 euros and 40 cents? - The number

The number of 1 cm cubes required to make 4 cm cube is?

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