Math practice for 13 year olds - page 206 of 428
Number of problems found: 8556
- Five tractors
Five tractors plow the fields in 4.8 hours. How long will it take to plow the field when, after an hour and a half of work, two tractor drivers have been called up for another task? - Meeting speed calculation
Adam and Eve live 20 km apart. They are going to a meeting. Adam moves at a speed of 2 km/h faster than Eva. They will meet in one and a half hours. Determine their speeds. - Cinema phone pursuit
Eva left the cinema at a speed of 4 km/h. Half an hour later, Adam left after her with the mobile phone that Eva had forgotten at the cinema. It was moving at a speed of 6 km/h. How long will it take Adam to catch up with Eva, and how many kilometers from - Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - Pyramid edge calculation
We know a regular quadrilateral pyramid's base diagonal length of u = 4 cm. The height of the pyramid is v = 5cm. Calculate the size of the side edge and the base edge of the pyramid. - Computer banknote payment
Dad paid for the computer with banknotes worth 500 and 1,000 CZK. The number of banknotes was 56, and the price of the computer was CZK 44,000. How many banknotes did he have? - School painting time
A four-member group planned to paint the school for ten days. After two days, one member fell ill. If they worked with the same effort, how many days were the school painted? - Diggers
The excavation was carried out in 4 days, and five workers worked on it for 7 hours daily. Determine how long it would take to excavate if seven workers worked on it 8 hours a day. - Wire fence
The wire fence around the garden is 160 m long. One side of the garden is three times longer than the other. How many meters do the individual sides of the garden measure? - Dog food duration
Food for 42 dogs is enough for 35 days. After 15 days, the two dogs adopted new owners. For how many days will the food for the remaining dogs be enough? - Park fountain percentage
In the shape of a rectangle, the city park, measuring 125 x 12 m, has a circular fountain with a diameter of 10 m. What percentage of this fountain represents the total area of the park? - Scarf knitting time
Grandma knits a scarf. Knit 15 cm per day. He has it ready in 16 days. How many cm does she have to knit in 1 day to make it in 9 days? - Drying
The raw wood beam weighs 85 kg. It is calculated that drying will reduce its weight in a ratio of 5:6. What will be the weight of this beam after drying? - Ton kilogram percentage
How many kilograms is 24% of 30 tons? - Enclosure width calculation
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (areas) of the paddock stays the same. What will be the wid - Average height
There are twice as many girls in the class as there are boys. The average height of girls is 177 cm, and boys 186 cm. What is the average height of students in this class? - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Production cost reduction The cost of production of a particular product decreased first by 15% and then by 10% of the new amount. After this reduction, it cost CZK 153. What were the original production costs?
- Tourist route
How long is the tourist route when tourists cross four-sevenths of the way on foot, cross the bus twice less than on foot, and pass the last 14 kilometers by boat?
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