Maths practice for 12-year-olds - page 64 of 347

Number of problems found: 6932

Ropeway angle length
The ropeway climbs at an angle of 22°30'. Calculate its length if the height difference between the lower and upper station is 560 m. Sketch a picture
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?
Ring gold volume
The ring weighs 28 g and has a volume of 2 cm³ to find out if it is made of pure gold.
Martin age years
Martin will be twice as old in 10 years as he was four years ago. How old is he now?
Cuboid cone volume
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters.
Tablecloth table size
A square tablecloth measures 80 cm so that it protrudes 33 cm on the sides; calculate how big it is.
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?
Cube edge volume
The sum of the lengths of all the cube's edges is 60 cm. How to calculate its volume?
A pot - volume
Approximately how many liters of water are there in a pot with a base diameter of 32 cm and a height of 25 cm?
Pool water filling
They filled the 25 m long, 15 m wide swimming pool with water to a height of 80 cm. 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?
Aquarium depth capacity
The aquarium is 0.7 m long and 25 cm wide. The battery is deep if it can hold no more than 87.5 liters of water. I need help understanding how to calculate this.
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 minute (or part thereof) of a 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?
Meter ratio increase
What ratio must we increase to 1 m to get 1 m 50 cm?
Ratio adjustment decimal
Adjust ratio 1.6:0.8
Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm?
Circle triangle hole
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32 mm, and the side of the triangle, a=20.8 mm.
Lathe part production
Four lathes machine 32 parts in 1 hour. How many parts does 1 lathe produce in 2 hours?

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