Divisibility - practice problems - page 2 of 23
Number of problems found: 450
- In a forest meadow
The students planted 280 spruces and 60 pines on forest plots. Express the ratio of the number of planted pines to the number of planted spruces as the smallest possible natural numbers. - Cinema visitors
There are 35 seats in each row of an open-air cinema. Determine the maximum number of visitors that can fit in the viewing area, given that the total number of seats is more than 705 and fewer than 740. - Six-digit number
Pepina was rolling a dice. The first number that came up, she wrote on a paper, the second she wrote to the right next to the first, the third she wrote to the right next to the second, etc., until after six rolls she had a six-digit number written. a) Wh - Factorization and primes
How many times does the digit 2 appear in the prime factorisation of 2,024? - Divisible PIN
Mark's mother helped him with his shopping. She wanted to pay by card when collecting the goods in person, but she was not sure what her PIN was. Could her PIN be a number divisible by six? - Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a 6 and ends with a 2 and is divisible by 24. - Wardrobe code Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Candy boxes
You are supposed to create as many identical boxes of chocolates as possible from a total of 280 nut, 252 nougat and 420 marzipan candies. You must not leave any candy behind or missing any. What will be the composition of one box and how many can you mak - Number sum divisibility Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh
- Odd number sum Determine the sum of all positive odd numbers less than 78
- Mo z5 2023 dogs
Anetka's uncle has his birthday on the same day of the year as Anetka's aunt. The uncle is older than the aunt, but not by more than ten years, and both are of full legal age. At the last celebration of their birthdays, Anetka realised that when she multi - Dolphin Shark fish
Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch? - Dance group division
The dance troupe has 24 members. How many equal-sized groups of dancers can he divide into during a performance_ - Cinema seat probability
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - Multiple smaller nearest Write the nearest smaller multiple: number 7 to number 23 number 5 to number 19 number 6 to number 23 number 10 to number 79 number 6 to number 41 number 3 to number 28
- Remainder even sum
If we divide numbers by a divisor of 15, we get several different remainders. Write the sum of all possible even remainders that we get this way. - PIN code probability Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt.
- Two-digit divisor nineteen Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76
- Number series exclusion Which number does not belong in the number series and why? 11. . . 13 . . . 15 . . . 17 . . . 19
- Digit omission divisibility
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
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