Math practice for 13 year olds - page 159 of 423

Number of problems found: 8455

The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed?
Approximately 44671
A granite monument in the shape of a pyramid with a rectangular base will be placed in the city park. The base dimensions are 60 cm and 110 cm, and the pyramid height is 220 cm. The density of granite is approximately 2800 kg/m³. Calculate the weight of t
Heat transfer
We placed a lead object weighing 0.4 kg and 250°C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35°C? We assume that the heat exchange occurred only between the lead o
Different 44621
Express the number 68 as this property's sum of two different summands. If you divide a larger sum by a smaller sum, will you receive a result of 3?
Fertilizer
I have 4 liters of 10% fertilizer. How much water must I add to have a 2% solution?
Quadrilateral 44561
The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid.
Dimensions 44551
The base of the needle is a rectangle with dimensions of 20 cm and 10 cm, its height is 15 cm. Will the plasticine we needed to model this pyramid be enough to model two pyramids with a square base of 10 x 10 cm and a height of 15 cm?
Calculate 44541
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm.
Initially 44521
The dress initially cost € 30 and was 20% cheaper on sale. What is the new price of the dress? The latest price is:
Diameter 44511
The tower's roof is a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover it?
Three
Three pavers will pave the sidewalk in 4 days. How long does it take for two tiles to pave the same sidewalk?
Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height.
Aircraft
From the aircraft flying at an altitude of 500m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B?
A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total water weight to the nearest pound in the tank if water weighs 62.5 pounds per cubic foot?
Carpenters 44401
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs?
Dimensions 44361
On mill paper, the dimensions are 11 * 7.5 mm, and the external dimensions of the sauna are 4.4 * 3 m. On what scale is the plan drawn on graph paper?
Identical 44271
Ten identical trucks will take 240 tons of concrete to build the dam in 3 working days. How many tons of concrete will seven trucks take to make the dam in 5 days?
Divide 44261
Divide the number 20 into two parts so that the first part is four times larger than the second. What is the ratio?
Beginners - skiing
Out of 150 children in a ski course, 40 were beginners. What percentage is that?
Deceleration
In a braking test, a vehicle that travels at 51 km/h stops in 5 s. What is its acceleration?

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