Reason + natural numbers - practice problems - page 2 of 28
Number of problems found: 543
- Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation? - Probability 81678
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Probability 81446
What is the probability that each digit is different in a five-digit number? - Indistinguishable 81236
There are 32 red socks and 32 blue socks in a drawer. The left and right socks are indistinguishable. You pull your socks out of the drawer in the dark. How many do you have to take out to make sure you have a pair when you look at them? - SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product. - Multiply 80797
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they? - Three-digit 80768
Nikola had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum? - Dimensions 80753
We color a wooden block with dimensions a = 4 cm, b = 3 cm, c = 2 cm and then cut it into cubes of 1 cm³. How many cats will she have? a) just one wall painted b) just two walls stained c) just three walls painted d) no painted wall? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - Determines 80517
Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76 - Number 80500
Which number does not belong in the number series and why? 11. . . 13 . . . 15 . . . 17 . . . 19 - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Bouquets 80478
At the flower shop, they received 72 white roses and 96 red roses. What is the maximum number of bouquets they can tie to all these roses if each bouquet is to have the same number of white roses as red roses? - Following: 80476
In the number 123 456 789, omit the following: a) one digit to create the largest possible number divisible by 3 b) one digit to create the largest possible number divisible by 9 - Arranged 80453
There are 390 trees arranged in rows in the orchard. How many rows are there if each row has the same number of trees greater than 30 and less than 40? - Simultaneously 80392
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - Repetition 80362
How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
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