Math practice for 13 year olds - page 205 of 424
Number of problems found: 8469
- Complete 23811
We ordered two parties of workers to replace the windows and doors. The first group would complete the task in 15 days. The second in ten days. How many days will they be able to exchange it together?
- Administrator 23801
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- Centimeter 23781
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter.
- Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm.
- 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?
- Determine 23741
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.
- Kilometers 23721
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)?
- Quadrilateral 23701
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.
- Banknotes 23691
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?
- 4-member 23681
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?
- Remaining 23651
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?
- Percentage 23631
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?
- Grandma 23621
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?
- Kilograms 23581
How many kilograms is 24% of 30 tons?
- Reconstruction 23531
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
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