Themes, topics - math word problems - page 114 of 174
Number of problems found: 3477
- Hydraulic system force
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N? - Z7–I–5 MO 2018
At the Rose garden centre, one shop ordered a total of 120 roses in red and yellow, the second shop a total of 105 roses in red and white, and the third shop a total of 45 roses in yellow and white. The garden centre fulfilled the order, in such a way tha - Point construction
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - Dwarf heights
Mr. Ticháček had three gypsum dwarfs in the garden: the largest was called Maško, the middle Jarko, and the smallest Franko. Since he liked to play with them, he discovered that when he put Fan on Jerry, they were as tall as Maško. On the other hand, when - Pear sharing
Ivan and Miranda shared pears in the mission. Ivan always takes two pears, and Miranda takes half of what remains in the mission. Thus, Ivan, Miranda, Ivan, Miranda, and finally Ivan, who took the last two pears, took them away. Definitely. Who had more p - Tank Fill Drain Time
The tank holds 140 liters of water. It is filled with a tap in 5 minutes, and the drain is emptied in 7 minutes. How long will it take for the empty tank to fill if we open the faucet and drain it? - Z9 – I – 5 MO 2018
Peter and Ivan created decorations from mutually identical white circles. Peter used four circles, which he placed so that each touched two other circles. Between them he then inserted another circle, which touched all four white circles, and he coloured - Inlet and outlet
The pool has a capacity of 50 hl. The inlet pipe flows in 1 minute 1.25 hl, and the waste pipe outlet drains the full pool in 50 minutes. How long will it take to empty the entire pool when both the inlet and outlet are opened simultaneously? - Weekend Cycling Distance
Peter cycled 24 kilometers on the weekend, twice as many on Saturday and Sunday. Thus, he cycled 24 kilometers more on Saturday than on Sunday. - Two ships
The distance from A to B is 300 km. At 7:00 AM, a ferry departed from A toward B at a speed 20 km/h greater than a ship that departed from B toward A at 8:00 AM. They met at 10:24. Find the distance of the meeting point from A and determine when each vess - Wrench force calculation
We used a force of 85 N to loosen the nut when using a 20 cm long wrench. How much force do we use to loosen the nut when using a 10 cm long wrench? - Uniform Acceleration Initial Speed
The body went through a uniformly accelerated path of 30 m in 10 seconds while its speed increased five times. Find the initial speed and acceleration. - Runner acceleration speed
The runner ran the track 100 m in 10.2 seconds. He ran the first 20 m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20 m section, and what was its maximum speed? - Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench every 40 hours. How many hours will the ditch dig all three together? - Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Olympiad Participants Set Problem
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv - Bedrich and Adam
When Bedrich is as old as Adam today, Adam will be 14 years old. When Adam was as old as Bedrich, Bedrich was two years old today. How old are Adam and Bedrich today? - MO Z8-I-1 2018 Frank and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Frank and David.
- MO Z9-I-3 2018
In our town there are three cinemas, which are named according to the compass points. About their opening hours it is known that: • every day at least one cinema is open, • if the southern cinema is open, then the northern cinema is not open, • the northe
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