Prime numbers + divisibility - practice problems - page 6 of 11
Number of problems found: 208
- Pagans
Elena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagan occupied 28.26 cm² of the bottom of the sh - LCM of two number
Find the smallest multiple of 63 and 147 - LCD 2
The least common denominator of 2/5, 1/2, and 3/4 - Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold?
- Individual 4881
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK. - Three-digit 4791
How many three-digit numbers divisible by four can we create from the numbers 1, 2; 3; and five if we cannot repeat the digits in the number? - Six-digit 4787
Which largest six-digit number has a digit sum of 27? - Cube-shaped box
Find the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to fully use the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?
- Toy cars
Pavel has a collection of toy cars. He wanted to regroup them. But in the division in groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven he divided everyone. How many toy cars have in the collection? - Smallest 4692
A. Find the largest natural number by which the numbers 54 and 72 can be divided (120, 60, and 42) B. Find the smallest natural number that can be divided by each of the numbers 36 and 48 (24,18 and 16) - Blades
1st blade 2,5 m, 2nd blade. .1.75 m. How many can the same long pieces of these two blades do the biggest? How long is one piece? - Lengths 4599
The garden is 9m long and is no wider than 10m. What is its width if you can walk the same 55cm or 70cm lengths? - Cinema 4584
There are 15 seats in the cinema. How many seats are there in the cinema, if we know we will say that there are more than 390 but less than 410.
- Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d. - Smallest 4432
What is the smallest number of members of a dance group with the same number of guys and girls, and at the same time they can form groups of three or five dancers while dancing? - Performance 4403
During a public performance, majorettes line up in three-step, four-step, six-step, and eight-step. All rows are full with each grouping, and no majorette is promoted. Determine the smallest possible number of majorettes for which a performance can be mad - 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? - Two friends
Two friends met as a good man perished together for a beer. After recovering the most important topics (politics, women, football ...), one asks: - And how many do you have children? - I have three children. - And how many years have? A friend already doe
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