Math practice for 13 year olds - page 167 of 414
Number of problems found: 8280
- Motor power
Calculate the electric motor's power if it works for 10 minutes, and the electricity meter measured the consumption of 500 Wh. - Cube edge
What is the length of the edge of a cube with a volume of V = 1728 liters? - Petra
Petra likes to bathe in a bathtub with a water temperature of 38 degrees. She turned on the hot water set at 70 degrees and left for a moment. Before she returned, 40 liters of water flowed into the tub. How much water with a temperature of 22 degrees mus - Octagon area
An irregular convex octagon is inscribed in the circle. Its four adjacent sides have a length of 3, and the remaining four adjacent sides have a size of 2. What is the area of a given octagon? - Per shift
Two cars take beets from the same field to the sugar factory. Both drive at the same average speed. A car with mechanical tipping needs 15 minutes to travel to the sugar factory and back. A car that does not have mechanical tipping needs 6 minutes longer - Lawn roller
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn? - Cylinder radius
Calculate the radius of the base of the cylinder with a volume of 10 dm³ and a height of 15 cm. - Pyramid surface
Calculate the surface of a 3.5 m high quadrilateral pyramid with a rectangular base with dimensions of 3 m and 1.8 m. - Park tree
How many trees are planted in a trapezoidal park with bases of 35.7 m, 13.3 m, arms of 20 m and 22 m, and a height of 19 m if one tree needs nine m²? - A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus? - Pyramid soil
The pit is a regular truncated 4-sided pyramid, with 14 m and 10 m base edges and a depth of 6 m. Calculate how much m³ of soil was removed when we dug this pit. - Crane lifting time
The crane motor has a constant power of 9 kW. With constant movement, how long does it take to lift a body weighing 12 tons to a height of 9 m? - Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - THE FARM
A farm has hens, goats, and 3 cows. All animals together have 19 heads and 56 legs. How many goats and how many hens are on the farm? - Pool plan marking
The pool is 50 m long and 20 m wide. How will it be marked on the plan on a scale of 1:200? - Pedestrian cyclist meeting
From two places, A and B, 27 km apart, a pedestrian will simultaneously walk at a speed of 6 km/h from place A and a cyclist at a rate of 24 km/h from place B. At what distance from place A will they compete? - Plate dimension
The dimensions of the rectangular plate on the plan were 8 and 6 cm. The actual plexiglass plate was 7:2 to the plan. What were the exact dimensions of the plate? - Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Car acceleration runway
The car reaches a steady acceleration in 24 seconds from a standstill speed of 100 km/h. What runways will he reach on departure? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm?
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