Natural numbers + prime numbers - practice problems
Number of problems found: 302
- Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - A tailor
A tailor bought 72 meters of white cloth and 16 meters of blue cloth. The material was cut into equal lengths to make a school uniform. What was the greatest length of each piece of cloth that was cut? - Ronald 2
Ronald and Tim both did their laundry today. Ronald does laundry every 6 days, and Tim does laundry every 9 days. How many days will it be until Ronald and Tim both do laundry on the same day? - Two pieces
Two pieces of cloth 15 and 20 meters long are to be cut into small pieces of equal lengths. What will be the greatest length of each piece?
- 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. - LCM or HCF
Find the lowest common multiple of these two numbers: 105 226 - GCD&LCM of three
GCD of three numbers is 30 and LCM is 900. As two the are 60 and 150, find the number. - A number 8
A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K - LCMs
What is the difference between the LCM (16, 400) and LCM (15, 65)?
- HCF - big numbers
Find the HCF of 72030 and 88200 - Planetary system
Robert has built a mechanical model solar system with three balls representing planets at the end of rods. Each rod is attached to the center, representing the Sun. The planets are lined up when he turns on the motor. The innermost planet makes a revoluti - Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth - Profitable company
Three businessmen decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000, and R25 000, respectively. The profit made by the company in the first
- Significant 9321
Only herbs with 5 and 7 leaves grow in the Old Forest. When the boar Vavřínec collects raw materials for herbal liquor, it always tears off the whole herb and puts it in a basket. What is the most significant number of letters he will ever manage to have - University 5680
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month - Composition 83241
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - On Children's
On Children's Day, the organizers bought 252 chewing gums, 396 candies, and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way. - Lesson exercising
In the lesson on physical education, pupils are first divided into three groups so that each has the same number. They redistributed, but into six groups. And again, it was the same number of children in each group. Finally, they were divided into nine eq
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