Reason + divisibility - practice problems - page 9 of 10
Number of problems found: 192
- Meadow
On the meadow, there are horses, cows, and sheep grazing 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 in the mead
- Shepherd
The shepherd has fewer than 500 sheep; where there can be up to 2, 3, 4, 5, or 6 rows, there is always one remaining, and it can be increased up to 7 rows of sheep, and it is not increased any ovine. How many sheep have a shepherd?
- 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
- Daughters
The man conducting the census asks a woman the age of her three daughters. The woman says when multiplying the age, get the number 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. S
- Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, leave the 11 trees. How many trees must seed?
- Czech crowns
Small Petra saves money. Grandfather gives her ten crowns. Petra asked his older sister to let her calculate how much he had saved. Sister told her that he had less than 30 crowns. If the sum is divided by three, leave one crown. Suppose the sum is divide
- Basements
In the first cellar, there are more flies than spiders. In the second, the opposite. In each cellar, the flies and spiders had a combined 100 legs. Determine how many flies and spiders could have been in the first and how many could have been in the secon
- The exhibition
The teacher charged 280 CZK for four students' admission to the exhibition. How many students were at the exhibition? Hint: the admission cost is a whole number.
- Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor.
- 9.A
Class 9A has more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets a mark of 4. How many students of class 9A wrote a test to mark 5?
- Four-digit number
Find a four-digit number, which quadrupled written backward is the same number.
- Athletes
Athletes are standing in rows of eight. Ivan estimated that there are more than 120, while Peter claimed that there are fewer than 130. Both are right. How many are athletes?
- Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used?
- Repair company
The company repairs cars. On the first day, repair half of the contract; on the second day, half of the rest; and on the third day 8 residue cars. How many total cars did the company repair?
- Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
- The balls
You have 108 red and 180 green balls. You have to be grouped into the bags so that the ratio of red to green in each bag is the same. What may the smallest number of balls be in one bag?
- Mushrooms from the forest
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi, 5/9 bedel was found. Tereza discovered that she found 2/17 champignons among fungi. 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?
- Unknown integer
Find the smallest integer: Divided by 2, the remainder is 1. divided by 3. The remainder is 2. divided by 4. The remainder is 3. Divided by eight, the remainder is 7. Divided by 9, the remainder is 8.
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