Maths practice for 12-year-olds - page 288 of 347
Number of problems found: 6932
- Brass sculpture
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? - 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? - 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? - 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 - 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? - Garden on map
On a map with a scale of 1:5000, the grandfather's garden is represented by a rectangle measuring 4 cm and 3 cm. What dimensions will it have on a map scale of 1:4000? - Number calculation
Find a number from which 5% is as many as 7% out of 45. - Scout trip
During the trip, the scouts ran 1/2 of the route on the first day, 2/5 of the route on the second day, and on the third day, they were still 12 km away. How many km have they traveled in all three days? - Pool water
The block-shaped pool is 8.5 m long, 4.3 m wide, and 1.5 m deep. How many hectoliters of water is in it when it is filled to three-fifths of the depth? - Expression substitution
Determine the value of the expression by substituting for the variables a = 5, b = 2, x = 3, y = 1: k = 4ab + 1/2 ab - 14 l = x² + 2xy + y² m = 5b³ - 4b²
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