Maths practice for 12-year-olds - page 174 of 355

Number of problems found: 7084

Cone volume calculation
The volume of the cone is 9.42 cm³, and its base diameter is 3 cm. Calculate 1 / height of the cone 2 / side cones 3 / cone surface
Remaining
Petra went on a 4-day trip to Vienna with her aunt. On the first day of the trip, she spent a quarter of her pocket money, on the second day, two-fifths of the remaining money, on the third day, she spent a third of the entire amount of pocket money, and
One press
One press will produce one truck of respirators in 3.5 days and the second in 10 days. How long does it take to fill a truck while working together?
Line ratio division
Divide the line AB 8 cm long in a ratio of 2:5
Rectangular flowerbed
The park has a rectangular flowerbed measuring 10 m and 200 cm. How many rose bushes do we plant in the flowerbed if 25 dm² are needed per bush?
Silo painting calculation
The cylindrical silo has a diameter of 4 m and a height of 7 m. For how many square meters is it necessary to buy paint to paint against corrosion (we paint the silo only from the outside)?
Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water?
Poster column area
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued?
Similar triangles
In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh.
Order 2
Two lines are available to fulfill the urgent order. The original line can produce the required goods in 15 hours, while the more modern line, which has not yet been launched, should have the goods ready in 10 hours. The original line can be launched imme
Shoemaker
Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for six days and repaired ten pairs of shoes daily. The shoemaker did the same job for four days. How many pairs of shoes did the shoemaker repair per day?
Filling the pool
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros?
Cone surface volume
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume.
Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
Bronze ball weight
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms.
Cylinder surface calculation
Calculate the surface of the paper cylinder (without lid), which has the following dimensions: bottom radius: 7 cm, cylinder height: 22 cm.
Quadrilateral pyramid
Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6cm, b = 4cm, and height v = 11cm
Ferris wheel speed
The Ferris wheel in London has a diameter of 135 meters, and one turn takes about 30 minutes. At what speed per second do the cabins move around the perimeter of the London London Eye?
Aristotle birth death
Aristotle was born in 384 BC and lived to be 62 years old. In what year did he die? Plato lived to be 81 and died in 348 BC. What year was he born?
The trench
Calculate how many cubic meters of soil need to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m.

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