Maths practice for 12-year-olds - page 297 of 362
Number of problems found: 7227
- Bouquets 3220
No flower will remain if the gardener binds bouquets of 3, 4, and 6 flowers. If she ties a bouquet of 7 flowers, two are missing. How many flowers does a gardener have?
- Sikorsky helicopter
The American concern United Technologies is testing the Sikorsky X2 helicopter, which can fly at a record speed of 464 km/h. How long would it take an F22 Raptor fighter flying at a supersonic speed of 1,856 km/h to catch up with a Sikorsky X2 helicopter
- Catheti
One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another cathetus?
- Sculpture 3215
Brass is an alloy of copper and zinc in a ratio of 3 to 2. How much copper and zinc does a sculptor need to make a brass sculpture that should weigh 15 kg?
- One-seventh 3214
Determine one-third of the number, one-fifth of which is one-seventh.
- Employees 3212
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.
- Jasmine 3210
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?
- Cubes 3201
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
At one table, Thomas, Filip, and Martin sit in the dining room. Together they eat 36 donuts. Filip ate twice as much as Thomas and Martin half over Filip? How many have donuts eaten each?
- Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
- Distance 3197
What distance (in km) will the jet fly at 500 km/h in 12 minutes?
- Movement 3196
At what time the body travels a distance of 105 km with a steady movement at a speed of 70 km/h?
- Remaining 3195
A cyclist covered a track of 40m in 5s. The first section of the 30m track was covered in 3s; the remaining section was covered in 2s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist on th
- 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?
- Different 3190
Write the ratio in 5 different ways: 4:12
- Speedboat 3189
At 12:15, a train speeding 55km/h left the station. Twelve minutes later, an 80km/h speedboat set off behind the train. What time does the express train catch up? How far from the station?
- Triangle 3187
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
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