Harder math problems
- Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately? - Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 km². Calculate the volume of the cone. - Sphere
The sphere's surface is 27100 cm², and the weight is 117.8 kg. What is its density? - Toys
3 children pulled 12 different toys from a box. How many ways can toys be divided so each child has at least one toy? - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
- Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g? - TV fail
After 10,000 hours, the TV has an average of 25 failures. Find the probability of TV failure after 400 hours of operation. - Pumps
The tank is filled with two pumps in 23 minutes. The first pump is filled in 37 minutes earlier than the second one. How many minutes is filled with the first pump? - Mast
The mast has 16 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.7°. Determine the height of the mast if the sun above the horizon is at an angle 40°48'. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Raffle
In the pool number from 1 to 115. What is the probability that a randomly selected number is not prime? - Shooters
In the army, regiments are piati shooters. The first shooter target hit with a probability of 42%, next with 40%, 21%, 58%, 67%. Calculate the probability of target hit when shooting all at once. - Sales
From statistics of sales goods, item A buys 57% of people, and item B buys 76% of people. What is the probability that from 18 people buy 10 item A and 8 item B?
- Numbers
Determine the number of all positive integers less than 5965074 if each is divisible by 5, 29, 11. What is its sum? - Workers
Two workers, A and B, will be done work together for 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days. If every worker worked alone, how many days did the whole work take for workers A and - Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2? - Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station? - Earth parallel
Earth's radius is 6377 km long. Calculate the length parallel to latitude 75°.
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