Divisibility - high school - practice problems - page 3 of 4
Number of problems found: 69
- Remembered 2766
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle? - Meadow
On the meadow grazing horses, cows, and sheep, together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are on the meadow togethe - 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. - Sheep
Shepherd is tending the sheep. Tourists asked him how much they had. The shepherd said, "there are fewer than 500. If I lined up in 4-row, three remain. If in 5-row, four remain. If in 6-row, five remain. But I can form 7-row." How many sheep have a sheph
- Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption do we start? - Grandson and granddad
Grandson with grandpa, they counted how many years have together. Their product is 365. How many years is the sum of their years? - Numbers
Write the smallest three-digit number in divisions 5 and 7, and gives the rest 2. - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number. - Scouts
Scouts purchased camp cans of two types total cost of 1460 CZK. The first cans were for CZK 32 and the second for 25 CZK. How many cans were purchased for each type?
- Repair company
The company repairs cars. On the first day, repair half of the contract, the second day, half of the rest, and third-day 8 residue cars. How many total cars did the company repair? - Seamstress 2
Seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally? - Nuts
How many must we have at least nuts if we can equally divide it to 10 children, 12 children, or 15 children and any nuts left? - Mushrooms from the forest
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi found 5/9 bedel. Tereza discovered that she found among fungi are 2/17 champignons. How many mushrooms were found, Magda? - Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there?
- Combinations
How many different combinations of two-digit number divisible by four arises from the digits 3, 5, and 7? - Nuts, girl and boys
Milena collected fallen nuts and called a bunch of boys lets them share. She took a condition: the first boy takes one nut and a tenth of the rest, the second takes two nuts and tenth new rest, the third takes three nuts and tenth new rest, and so on. Thu - Unknown number
An unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • Difference between the first and second prime numbers is half the difference between the third and second prime num - Snowman 2
On the medal, which has the shape of a circle with a diameter 18 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine snowman height if we wish for the highest snowman
Do you have homework that you need help solving? Ask a question, and we will try to solve it.