Maths practice for 12-year-olds - page 296 of 351
Number of problems found: 7018
- Securities 3226
After one year, we sold securities issued at an interest rate of 7% for CZK 8,560. What was their original value?
- Children tickets
A ticket to the museum for children costs 10 SKK for adults and 20 SKK. Fifty people came to the museum and paid 700 SKK. How many children were there?
- The glass
The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cu
- Preparatory test
Less than 50 pupils go to 9A class. A third of the pupils wrote the preparatory test with a one, a quarter with a two, no one wrote with a three, and nine pupils with a four. How many students from 9A wrote the test with a five?
- Passengers 3221
Express as a ratio: a/ There are 200 boys and 300 girls in the school. b/ The number of chocolates eaten will triple on Nicholas Day. c/ During the holidays, the number of bus passengers decreased by a quarter.
- 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?
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