# Examples for 7th grade (seventh)

- Two ships

Two ships sailed from Venice - a cargo speed of 10 knots and a ferry speed of 18 knots. At what time will the ferry catch up with the cargo ship if it sailed 10 hours later? - Irregular pentagon

A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - The ketchup

If 3 1/4 of tomatoes are needed to make 1 bottle of ketchup. Find the number of tomatoes required to make 4 1/5 bottles - The wellbore

The wellbore has a tributary of 2 m^{3}per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters of water every se - Picture frames

Destiny has to make 24 picture frames. Each frame uses 16 3/8 wood trim. 2/3 were completed on the first day. How many inches of wood trim is needed to complete the remaining frames on the second day? - Rectangles

How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - Cyclists and walkers

A group of tourists started at 8:00 at speed 4 km/h walk. At half-past ten, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists? - Trees avg

The worker planted 96 trees on Monday, 120 on Tuesday and 61 trees on Wednesday. How many trees did he plant on Thursday if he averaged 105 trees per day? - Blueberries collecting

Marie collects blueberries 2 l in 1 hour. Began collecting at 8.00 pm, Joe collects 1.5 l in 1 hour. Peter 1 l for 1 hr. And they began to gather at 08.30 pm. Together they collect 10 l. At what time will they all have collected? - Eight masons

Eight masons will plaster a wall with an area of 1440 m^{2}in 9 days. They work 8 hours a day. How much area will plaster 6 masons in 4 hours? - Where and when

The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average speed of 80km/h. How many kilometers from Kremnica will the passenger car reach truck, and when? - Brothers and sisters

There are 35 children in the class, 23 of them have a brother, and 27 of them have a sister. How many children have both a brother and a sister when there are 5 children in the class who have no brother or sister? - Two villages

On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map? - Three lines

At 6 am, three bus lines are departing from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as t - Radius

Find the radius of the circle with area S = 200 cm². - Floating of wood - Archimedes law

What will be the volume of the floating part of a wooden (balsa) block with a density of 200 kg/m3 and a volume of 0.02 m^{3}that floats in alcohol? (alcohol density is 789 kg/m3) - Cheops pyramid

The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It made from limestone with a density of 2.7 g/cm3. Calculate the amount of stone in tons. How many trains with 30 twenty tons wagons carry the stone? - Common divisors

Find all common divisors of numbers 30 and 45. - Numbers division

With what number should be divided mixed number 2 3/4 to get 11/12? - Cut trees

There are 1,200 trees in the grove, of which 55 percent are deciduous, the remaining coniferous. Workers cut down 35 percent a) trees, b) deciduous trees, c) coniferous trees. How many trees now have this grove?

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