Natural numbers + divisibility - practice problems - page 4 of 15
Number of problems found: 284
- Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - Game room
The winner can take the win in three types of jettons with value 3, 30, and 100 dollars. What is the minimum value of win payable in these values of jettons? - Difference 68664
The digits 1, 2, 4, and 8 form two four-digit numbers so that all 4 digits are used in the notation of each number. Calculate the difference between such largest even number and smallest odd number (in that order). - Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group?
- Class
When Pythagoras asked how many students attended the school, he said: "Half of the students studying mathematics, 1/4 music, seventh silent, and there are three girls at school." How many students had Pythagoras at school? - Beginning 47553
At the beginning of the year, they received 600 notebooks. There were twice as many unlinked as lined ones. How many students are in the class when each has 16 unlined notebooks? - Five-crown 6091
The customer paid the amount of CZK 3,200 with the same 100-crown, two-crown and five-crown banknotes. How many banknotes did he use to pay the amount if he paid precisely the amount? - Customers 4344
Sixty customers visited the hair salon. Customers were either blondes, brunettes, brunettes, or redheads. One in three was brunette, one in five was blonde, and one in fifteen was a redhead. How many brunettes were there in the salon? - The missing digit
Complete the missing digit in the number 3 ∗ 43 to form a number divisible by three. If there are multiple options, list them all. (The omitted digit is marked with the symbol ∗. ) Answers must be justified!
- By six
From digit 1,2,3,4, we create the long integer number 123412341234..., which will have 962 digits. Is this number divisible by 6? - Banknotes
How many different ways can the cashier pay out € 310 if he uses only 50 and 20 euro banknotes? Find all solutions. - Dining tables
In the dining room are tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - Mathematical 7034
Jaroslav and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they? - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
- Real estate
The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Plums
In the bowl are plums. How many would be there if we could divide it equally among 8, 10, and 11 children? - 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 - Find unknown number
What is the number between 50 and 55 that is divisible by 2,3,6,9? - Check divisibility
Put a check under each column to identify whether each number is divisible by 2, 5, 10, 3, 6, or 9. 54180; 1 624 2700 5605 568
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