Math practice for 13 year olds - page 70 of 414
Number of problems found: 8262
- Five-digit different digits
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation. - Pump water capacity
In 5 minutes, it pumps 1240 l of water with the pump. Can two equally powerful pumps pump 500 liters of water in 1 minute? - Lake map distance
On a map with a scale of 1:100,000, two lakes are 20 cm apart. What is their distance on a map with a scale of 1:40,000? - Building construction time
Peter and Honzo decided to build the building as quickly as possible. They built one-twentieth of the building in ten minutes. After 20 minutes, three more friends joined. Everyone was building at the same pace. How many minutes did it take to build the s - Stadium capacity percentage
There were 60 people in the stadium, which was 30% of capacity. How many people can fit in the stadium? - Barrel ethanol weight
What is the weight of a two-hundred-liter barrel with ethanol if the empty barrel weighs 50 kg? - Box height volume
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters? - Car acceleration speed
The car has a speed of 5 m/s and accelerates to 35 m/s in 12 seconds. Calculate the acceleration of the car at a speed of 34.5 m/s. - Trapezoid interior angles
Given is an isosceles trapezoid ABCD with bases 10 cm and 14 cm. The height of the trapezoid is 6 cm. Determine the interior angles of the trapezoid. - Sand sieve coarse
At the construction site, the sand that belongs to the mortar is sifted through a sieve. At the same time, 1/6 of the coarse sand falls through. Determine how many m³ of sand must be brought in to obtain 2 m³ of sifted sand. - Copper wire meters
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9 g/cm³? - Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - Excavator pit days
Two excavators dig a pit in 12 days. How much shorter will this job take if 8 excavators dig the hole? In 3 or 9 days? - Segment ratio reduction
If I reduce a segment of length 72 cm in a ratio of 5:8, how many cm will it be? - Sun and shadow
The pole is stuck vertically into the ground. The protruding length is 1 m. What is the length of the shadow cast when the sun is just 50° above the horizon? - Hypotenuse and legs
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly. - Number percentage increase Increase 380 by 28%
- Gasoline comsuption
In 24 hours, the engine consumes 346 I of gasoline. How many liters does it consume in 126 hours of operation? - Horse water supply
The water supply is enough for 12 horses for 16 days. How many horses will this supply of water last for 12 days? - Number percentage reduction
If we reduce the unknown number by 24%, we get the number 358. Determine the unknown number.
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