Prime numbers - practice problems - page 8 of 23
Number of problems found: 457
- Plum
On the platter are plums. How many were there if its have to be able to share equally among 8,10, and 12 children? - Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Cherries 55831
There are cherries in the basket. How many of them are if we can divide them equally between 3, 4, or 5 children? - Quotient
Find the quotient before the bracket - the largest divisor 51 a + 34 b + 68 121y-99z-33 - Flowerbeds
What is the smallest length of flowerbeds we must prepare to plant seedlings at grids of 20,30,25,40 cm? - 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? - LCM or HCF
Find the lowest common multiple of these two numbers: 105 226 - We bought
We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them? - John Smith
John Smith is reading a 435-page novel. If he reads the same number of pages per day and the number is a prime number greater than 10, how many pages per day will he read? - 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? - Amazing number
An amazing number is a name for such an even number, the decomposition product of prime numbers has exactly three, not necessarily different factors, and the sum of all its divisors is equal to twice that number. Find all the amazing numbers. - 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? - Lines
Five bus lines run at intervals 3, 6, 9, 12, 15 minutes. In the morning, it suddenly starts at 4:00. After how many minutes do the bus lines meet again? - Together 81979
Three friends split the reward in the ratio of 3:5:7. One of them received exactly €49. How many euros did they get together? - Regularly 54301
Tonda, Emil, and Patrik go to the gym regularly. Tonda visits the gym every third day, Emil every fifth day, and Patrik every ninth day. How often does everyone meet at the gym? - Two-liter 19243
The barrel can be filled with just a two-liter measuring cup and a measuring cup for 3l, 5l, 7l, and 10l. What is the smallest volume this barrel can have? - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain. - Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - Athletes
Athletes at the stadium could enter two-steps, three-steps, four-steps, five-steps, and six-steps. There were more than 100 but less than 200. How many athletes were there?
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