# Examples for 7th grade (seventh) - page 77

- 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? - Sand

The maximum weight of the car is 5000 kg. 10 m^{3}of sand must be transferred. How many times does a car have to go? (density of sand is 1500 kg/m3) - Scale of plan

On the plan of the village in the scale of 1: 1000 a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares. - Basen

How many square meters of tiles we need to tile the walls and floor of the pool 15 meters long, six meters wide and two meters?deep - Trees

From the total number of trees in the orchard, there are two-fifths pearls and apples are three eighty. The rest of the trees are 9 ceremonial. How many trees are in the set? - Triangular prism

Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm and height of the prism is 0.12 dm. - Container

The container-shaped box with internal dimensions of 3.9 m, 3.25 m and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have? - Two chords

There is a given circle k (center S, radius r). From point A which lies on circle k are starting two chords of length r. What angle does chords make? Draw and measure. - Rectangular prism

If i have a rectangular prism with a length of 1,000 cm, width of 30 cm and a height of 50 cm, what is the volume? - Profit per kilo

The trader sells apples at a profit of 20% per kilogram. Today, he decided to reduce the price of apples by 10%. How much profit does the trader have today? - Horizontal distance

The road has a gradient of 8%. How many meters will the road rise on a horizontal distance of 400m? - Irrigation sprinkler

The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate? - Cube

The sum of all cube edges is 30cm. Find the surface area of the cube. - 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? - The farmer

The farmer had 140 sheep. For the next year, she decided to change the number of sheep in ratio 10: 7. How many sheep will he have then? - Line segment

The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment? - Digit sum

How many are three-digit numbers that have a digit sum of 6? - Square

Square JKLM has sides of length 24 cm. Point S is the center of LM. Calculate the area of the quadrant JKSM in cm^{2}. - Map scale

The rectangular plot has in a scale of 1: 10000 area 3 cm^{2}on the map. What content does this plot have on a 1:5000 scale map? - Circular arc

Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °

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