Math practice for 13 year olds - page 73 of 428

Number of problems found: 8558

Ladder building height
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall?
Triangle height calculation
Hello, I have a problem calculating the height on side z in the general triangle XYZ, where z=4 cm, x=1.5 cm, and y=3.7 cm. It was assigned in 8th grade when discussing the Pythagorean theorem. Thank you.
Castle painting cans
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought?
Makarska riviera
The motor boat departs from Baška Voda at 19:15 and arrives in Makarska at an average speed of 30 km/h at 20:00. However, a group of tourists from Germany must be in Makarska a third of the time earlier. What should the average speed of the boat be?
Pump tank emptying
Three identical pumps empty the tank in 1.8 hours. How long will it take 5 pumps to empty this tank?
Vehicle speed ratio
The speeds of two motor vehicles are in the ratio 7:4. How many kilometers will the slower vehicle travel simultaneously, if the faster vehicle travels 52.5 km?
Worker road repair
Six workers repair 48 meters of municipal road in 2 days. How many days will 3 workers with the same output repair 60 meters of the road?
Copper cylinder cooling
A copper cylinder weighing 15 kg transferred 114.9 kJ of heat to the surroundings during cooling. By how many degrees Celsius did it cool down?
Chip number probability
In an opaque bag are chips with numbers from 1 to 20. What is the probability that we will draw a chip with a number less than 16?
Jane ring money
Jane lacked 160 crowns to buy six rings, so she only bought four and had 100 crowns left. How much are 4 rings?
Cottage bridge distance
Two neighboring cottagers have cottages under the forest by the stream. They decided to build a bridge over the stream at a place far from the two huts. The distance between the cottages is 230 m; one cottage is 120 m from the stream, and the other is 85
Pool water filling
They filled the 25m long, 15m wide swimming pool with water to a height of 80cm. How many hectoliters of water did they put in, and how long did it take for the pool to fill if 375 hectoliters flow in 1 hour?
KiloJoules energy
In the washing machine, 6 liters of water were heated from a temperature of 22 degrees to 62 degrees. Find out the weight of 6 liters of water. What heat (in kJ= kiloJoules) did the water receive?
Jude section children
Three times more boys than girls go to the Jude section. If three more girls started dating, there would be twice as many boys as girls. A) determine how many go to the girls' section B) determine how many children attend the department in total.
The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last?
Mobile phone minutes
Mr. Hovorka pays a monthly flat rate of CZK 100 plus CZK 0.90 for each started minute of the call for his mobile phone. He calculated that each minute of the call last month cost him CZK 2.15. How many minutes was he on the phone?
Theater ticket viewers
Although the price of a theater ticket rose by 20 percent, sales rose by only 8 percent. By what percentage did the number of viewers have to drop?
Classroom plan width
The classroom is 6.8 m wide. Determine its width on a 1:50 scale plan.
Plan scale determination
Determine the scale of the plan if the actual length of 51m is shown on the plan by a segment of length 3cm.
Meter ratio increase
What ratio must we increase to 1 m to get 1 m 50 cm?

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