Reasoning - math word problems - page 27 of 31
Number of problems found: 613
- The carpenters
The carpenters cut the beam. Half of the cut pieces were 1 meter long, a quarter of the pieces were two meters long, and they cut the remaining 8 meters of the beam into two equal parts. - What was the length of the original beam? - What part of the origi - Number series continuation
Continuation of the number series 9,12,18,27 - Squat exercise
Mike will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - A bag
A bag contains nine blue marbles and one green marble. What is the probability of drawing a blue marble followed by a green marble without replacing the first marble before drawing the second marble? - Card drawing round
Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck below. The first, second, and third players alternate regularly. In which round does the first player draw the card he got rid of in the first round? - Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Passenger boat distribution
During the rescue of a sinking ship, the passengers were divided among three lifeboats in a ratio of 3:4:5. The first boat carried 15 passengers. How many passengers were rescued in total? - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number. - Number printing
The ski organizers have to print the start numbers from 1 to 45. How many times do they use the number 3 when printing? - We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5? - Cathedral roof sphere
Cathedral height is 110 m, sphere weight 6000 kg, dome diameter 43 m, crane arm length 25 m a) what was the diameter of this sphere? b) how much mechanical work had to be done to lift it to the designated place? - Seeds
We randomly selected ten seeds from a box of spruce seeds with an 80% germination rate and planted them. Find the median of the random variable, the number of germinating seeds. - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level? - Carpenter chair
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs? - We bought
We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them? - Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Two boys
Two boys weighing 60 kg and 90 kg move on roller skates and are attracted to each other by a rope. One boy exerts a force of 15 N. What force does the other boy exert? What accelerations will the boys gain? Do not consider friction or air resistance. - THE FARM
A farm has hens, goats, and 3 cows. All animals together have 19 heads and 56 legs. How many goats and how many hens are on the farm? - Harry
Harry Thomson bought a large land in the shape of a rectangle with a perimeter of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Find o - Two dice We roll two dice. What is the probability that the sum of the falling numbers is greater than 3?
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