Maths practice for 12-year-olds - page 297 of 359
Number of problems found: 7168
- Fraction calculation
Determine one-third of the number, one-fifth of which is one-seventh. - Quarterly plan
Employees exceeded the quarterly plan by 13.2%. In the first month, they exceeded the goal by 320 t, in the second by 310 t, and in the third by 300 t. Calculate the quarterly plan. - Bee hive
Half a bee swarm settled on a lilac, a third on roses, a seventh on jasmine, and one bee on clover. How many bees were in the hive? - Flour hopper
The baker filled the bakery flour hopper to 3/4 volume. After removing 875 kg of flour, he filled it with only 2/5 of the volume. How many tons of flour is in the full hopper? - Small cubes
How many small cubes do we get when we cut a cube with an edge of 5 dm into cubes with an edge of 1 dm? - Donuts
In the dining room, Thomas, Philip, and Martin sit at one table. Together, they eat 36 doughnuts. Philip ate twice as much as Thomas, and Martin ate half more than Philip. How many doughnuts did each eat? - Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm². - Jet distance
What distance (in km) will the jet fly at 500 km/h in 12 minutes? - Travel time
At what time the body travels a distance of 105 km with a steady movement at a speed of 70 km/h? - Cyclist speed
A cyclist covered a track of 40 m in 5 s. The first section of the 30 m track was covered in 3 s; the remaining section was covered in 2 s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist - Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. The body diagonal is ut=13 cm, and the diagonal of the cuboid's base is u1=5 cm. What is the volume of the cuboid? - Tiles
How many 20 cm and 30 cm tiles can build a square if we have a maximum of 100 tiles? - Ratio expressions
Write the ratio in 5 different ways: 4:12 - Speedboat and train
At 12:15, a train speeding 55 km/h left the station. Twelve minutes later, an 80 km/h speedboat set off behind the train. What time does the express train catch up? How far from the station? - Height ratio
In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb? - Ratio
Write the ratio with other numbers so that the value is the same: 2:9 - Numbered
The pages of the book are rectangular with sides 15 cm and 12 cm long. Hansel tore out all the pages and lined them up so that they touched along the shorter side. How long was the line, given that the pages were numbered starting from number 1 and the su - Republic
First, guess which circle has the larger diameter: the one with the same area as the area of the Czech Republic, or the one with a circumference equal to the length of the border of the Czech Republic? Then check your guess by calculating. The area of the - Bar
Half of the bar is green, the third is yellow, and the remaining 40cm is red. How long is a bar? - The scale
The distance of 15 cm on the map corresponds to 27 km in reality. What is the scale of the map?
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