Reasoning - math word problems - page 41 of 88
Number of problems found: 1754
- Three excursions
Each pupil of the 9 A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participa - Hotel star distribution
There are several hotels in the Sunny Beach resort. Among them are one-, two-, three- and four-star hotels. During the walk, Jane calculated that the sum of all the stars in the resort was 69. More than half of the stars belong to one-star hotels. The num - Hercules and the Hydra
Hercules is fighting with the Hydra, which has 2018 heads. In each round, at most three heads can be cut off. If he cuts off one head, it immediately grows back. If he cuts off two heads, nine heads grow. If three heads are cut off, the further developmen - Counting hairs
Find out if two people in Bratislava have the same number of hairs on their heads. Instructions. Bratislava has about 420,000 inhabitants, and a person has less than 300,000 hairs on his head. - Magic number conjuring
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Wade is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 12 - Apples and pears
Apples cost 50 cents a piece, pears 60 cents a piece, bananas cheaper than pears. Grandma bought five pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears? - The tickets
The tickets to the show cost an integer greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Five number operations For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to
- Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad? - The king
The king divided ducats among his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a wh - Twos
Victor started writing the number this year, 2019202020192020, into the workbook. And so he kept going. When he wrote 2020 digits, he no longer enjoyed it. How many twos did he write? - Four-digit number
Find all four-digit abcd numbers with a digit sum of 12 such that ab-cd = 1 - Triangle circumference puzzle
Christina chose a certain odd natural number divisible by three. Jacob and David then examined triangles with a perimeter in millimeters equal to the number selected by Christina and whose sides have lengths in millimeters expressed by different integers. - We are solving K
At the beginning we have a square 12x12 cells. Divide this square into an arbitrary number of rectangles, where only one rule must hold, namely that there must not be two rectangles with identical dimensions. Next, for this division we calculate the numbe - Bus route network
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d - The devils
The devils weighed in hell with Dorota. They found that Dorota and the two devils weigh 250 kg together, and Dorota and the four devils weigh 426 kg. All the devils weigh the same. How Much Does Dorota Weigh? - Collecting nuts Ondra, Mathias, and Kuba are returning from collecting nuts. They have a total of 120. Mathias complains that Ondra has the most, as always. The father orders Ondra to sprinkle it on his Mathias so that the number of nuts doubles. Now Cuba is complaining
- Comic number puzzle Majka researched multi-digit numbers, in which odd and even numbers alternate regularly. Those who start with an odd number are called comics, and those who start with an even number are called cheerful. (For, number 32387 is comic, and number 4529 is hil
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions.
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