Reasoning - math word problems - page 29 of 88

Number of problems found: 1754

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.
Seating pupils
We will work with a class in which there are 30 pupils, 40% of them are boys, the number of benches is 18. Determine the number of possibilities in the following tasks. 1) Determine in how many ways it is possible to select for a competition a trio of pup
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?
Number divisibility
What is the probability of any two-digit natural number a) is divisible by seven, b) is divisible by nine, c) is not divisible by five.
Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400?
Five-digit number
Anna thinks of a five-digit number not divisible by three or four. If he increments each digit by one, it gets a five-digit number divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it swaps any two digi
No solutions
Why does the equation 9-2x-9-16x=-14x-7-4x-11 have no solutions?
The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

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