Maths practice for 12-year-olds - page 169 of 347

Number of problems found: 6923

Gold cube distribution
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3 cm, 4 cm, 5 cm, and 6 cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut.
Tank painting calculation
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t
Coke and coal
20.1 tons of coke is produced from 30 tons of black coal. How much coke is made from 1 kilogram of coal?
Isosceles trapezoid
Find the area of an isosceles trapezoid with bases of 8 cm and 72 mm. The height of the trapezoid is equal to three-quarters of the longer base.
Right trapezoid
Calculate the area of a rectangular trapezoid whose perpendicular arm is 27 mm long and the bases are 33 mm and 19 mm long.
Class swim calculation
Seven of the 28 pupils cannot ski, and x pupils cannot swim. How many students in this class can swim?
The recommended
The recommended price of the novel "Laughing Sun" is 285 SKK. The bookseller bought 60 pieces of the novel at the wholesale store and paid 82% of the recommended price (18% is his profit for selling books). He sold 55 pieces of the novel and sold the rema
Radar signal distance
The electromagnetic signal sent by the radar bounced off the plane and returned in 60 microseconds. How far is the plane?
Pedestrian speed comparison
One pedestrian walked the 16 km track in 3.12 hours Two pedestrians walked the 18 km track in 3.18 hours Which one had a higher average speed on its track?
Pool water calculation
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool?
Field plowing calculation
Tractor driver plowing three-sevenths of a rope measuring 1.4ha. How many m² of fields do the poor have yet?
Prism volume calculation
Calculate the volume of a 1.4 m high hexagonal prism container with a base area of 8300 cm².
Calculate a prism
Calculate the volume and surface area of a prism whose height is 16 cm and whose base is a right triangle with sides of 5 cm and 12 cm and a hypotenuse of 13 cm.
Three-quarters of a tank
The oil tank is shaped like a cylinder with a height of 8 m and a diameter of 4 m. It is three-quarters full. How much oil is in it?
Pool pump calculation
The pool for swimmers has dimensions of 25 m, 10 m, and 2.8 m, and the children's pool is only 10 m, 4 m, and 1 m. The pump will change all the water in the swimming pool in 9 hours. How long does it take for the same pump to pump out the water in the chi
Barrel paint calculation
How many kg of paint do you need to buy to paint a 1.5 m high cylinder-shaped rainwater cover with a 0.7 m radius? We paint the barrel from the outside and inside, and 100 grams of paint is needed to paint 1 square meter.
Floor varnish calculation
During the reconstruction of the apartment, Mr. Čakaj needed to varnish the floors in two rectangular rooms with dimensions of 6.8 m x 4.5 m and 6 m x 3.8 m. How many cans of paint did he have to buy if he painted 6 m² of the floor with one can?
Height of the triangle
What is the height of the triangle with 7.8 cm² and the side a = 5.2 cm. (Calculation and procedure)
Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure)
Six painters
Six painters paint an area of 120 m² in 4 hours. How long does it take for 12 painters to paint 480 m² with the same performance?

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