Reasoning - math word problems - page 50 of 87
Number of problems found: 1733
- Perpendicular sides
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ - Mother Daughter Age Puzzle
If Nina were nine times older and her mother was nine times younger, they would be 85 years old. So, Ninka is 85, and Mom is 85. - Trees in alley
There are four trees in the alley between which the distances are 35 m, 15 m, and 95 m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Game 27
Susan wanted to play the game. In the beginning, the first says a number from 1 to 8. Then the second player adds a number from 1 to 5 and tells the sum. Again, Susan adds a number from 1-5 and says sum, etc. The winner must say the number 27. What first - 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 - Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants? - Filip friend age
Philip's friend is three times younger than Philip's father. He will be two years younger. How old is Philip's friend? - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number) - Flower perimeter
Peter drew a regular hexagon, the vertices of which lay on a circle 16 cm long. Then, for each vertex of this hexagon, he drew a circle centered on that vertex that ran through its two adjacent vertices. The unit was created as in the picture. Find the ci - 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 - 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. - Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - 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 - Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds? - Crayon count
Michelle has five crayons. Victor has fewer of them than Michelle. Wendell has as many as Michelle and Walt have together. All three have seven times more crayons than Victor. How many crayons does Wendell have? - Z8-I-2 MO 2018
A new pupil came into the class, about whom it was known that apart from English he still knew excellently one foreign language. Three classmates were arguing about which language it is. The first judged: "It is not French." The second guessed: "It is Spa - Clubhouse
A clubhouse contained only chairs and tables. Each chair had 4 legs and each table had 3 legs. A group of scouts arrived; each sat on a chair, 2 chairs were left empty, and the total number of legs in the room (people + furniture) was 101. How many chairs
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