Math practice for 13 year olds - page 359 of 414
Number of problems found: 8279
- Rain
The empty barrel with a radius of 8 dm and height of 1.2 m rain filled to 75% of its capacity. How many mm of water rained on the roof space of 75 m² - Cube 6
The surface area of one wall cube is 1600 cm². How many liters of water can fit into the cube? - Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle? - Cuboid 5
Calculate the mass of the cuboid with dimensions of 12 cm, 0.8 dm, and 100 mm made from spruce wood (density ρ = 550 kg/m³). - Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid? - Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - Broken tree
The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak? - Cableway
The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station. - Journey
Charles and Eve stand in front of their house. Charles walks south to school at 5.4 km/h, and Eve cycles east to the shop at 21.6 km/h. How far apart are they after 10 minutes? - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Pentagon
Within a regular pentagon ABCDE point, P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch. - Diameter
The diameter of a circular plot is 14 dm. Find the circumference and area. - Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of the length and the length by 14% of the width, the property perimeter will increase by 13 meters. How much will the property cost p - Grandmother's clocks
Grandmother's clock is half a minute late every hour. Grandmother set the clock exactly at 8.00 AM. How many hours will show after 24 hours? - Children
Margaret and Zdena weigh the same, and Petra weighs 3 kg more. Together, they weigh 156 kg. How much do they weigh? - Meadow
On the meadow, there are horses, cows, and sheep grazing together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are in the mead - Garden
The garden is rectangular and has lengths of 25 and 40 meters. It has been expanded so that each size increased by one-fifth. How many square meters increased its acreage? - Diamond ABCD
In the diamond ABCD, the diagonal e = 24 cm, and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond. - New computer
The new computer processes a certain amount of data for 6 hours. How many hours will an older computer with a quarter lower performance process the same amount of data?
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