Maths practice for 12-year-olds - page 164 of 361
Number of problems found: 7204
- Distribute 32451
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3cm, 4cm, 5cm, and 6cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut.
- Cube-shaped 32441
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 8cm and 72mm. 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.
- Students 32361
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
- Electromagnetic 32291
The electromagnetic signal sent by the radar bounced off the plane and returned in 60 microseconds. How far is the plane?
- Pedestrians 32231
One pedestrian walked the 16km track in 3.12 hours Two pedestrians walked the 18km track in 3.18 hours Which one had a higher average speed on its track?
- Proportion 32223
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm
- Ball-shaped 32173
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water?
- Cross-section 32163
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?
- Three-sevenths 32151
Tractor driver plowing three-sevenths of a rope measuring 1.4ha. How many m² of fields do the poor have yet?
- Aquarium
How many liters of water can fit in an aquarium measuring 30, 15, and 20 cm?
- Malzenice 32021
The area of Malzenice and Trakovic is in the ratio 3:4. The area of Ratkovec and Malzenice is in the ratio 1:4. In what ratio are the areas of Ratkovec, Malzenic, and Trakovic?
- Calculate 32011
Calculate the size of the BVC angle if the following applies to the size of the angles: AVB = 37 ° 48 minutes, CVD = 52 ° 30 minutes, AVD = 118 °
- Calculate 32001
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 16cm and whose base is a right triangle with sides of 5cm and 12cm and a hypotenuse of 13cm.
- 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?
- Beet harvest
Beet harvest is underway in the field. The beets are transported to 3 different processing plants by 3 trucks. One truck manages to return to the field 3 times in an hour, the second after 30 minutes, and the third has the shortest route, so it turns arou
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