Natural numbers + reason - practice problems - page 4 of 28
Number of problems found: 543
- Symmetry
Eva loves symmetry in shapes and numbers. Yesterday she invented an entirely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property: The first digit is divisible by 1, the second by 2, - Rectangular 54871
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De - Condition 83228
Three boys, Ivo, Vlado, and Alan, are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Al - Hamburgers 79184
Two sellers, each in their stand, sold hamburgers at the same price, expressed as a natural number in CZK greater than 30. The first seller received 1260 CZK, and the second received only 792 CZK. How much CZK did 1 hamburger cost? How many hamburgers did
- Solve 2
Solve integer equation: a +b+c =30 a, b, c = can be odd natural number from this set (1,3,5,7,9,11,13,15) - Odd-numbered 4033
Mr. O. came up with two codes for the vault, which he alternates after a week. Both codes have the product of the digit 120. In an even week, it uses the smallest possible number as the code with this property. In the odd week, the largest. No number 1 in - The florist
A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. If she ties a bouquet of three, four, five, or six roses, one rose will always be left. Det - Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. 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? - School year
At the beginning of the school year, 396 notebooks and 252 textbooks were ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that t
- Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete - The tickets
The tickets to the show cost some integer number 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. - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W - Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m
- Cents no more
Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins, just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros? - Mba studium
At MBA school, fourth-year students can choose from three optional subjects: a) mathematical methods, b) social interaction, c) management Each student studies one of these subjects. The mathematical methods studied 28 students, the social interaction wit - Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Simultaneously 7748
The monitor screen is blank. Four new wheels appear on the screen every seven seconds when the beep sounds. On the contrary, three wheels disappear from the screen every eleven seconds. If both actions should take place simultaneously, the number of circl - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school?
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