Reason + divisibility - practice problems - page 8 of 10
Number of problems found: 188
- Candies 3989
How many candies does Renata have in the box? There are less than 50 of them. She can divide them fairly among her five or even six friends and still have one candy left over for her and her brother. How many candies are in the candy box? - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. On the second line, write a total of this number, and its one fifth. She wrote a sum of this number and its one nines on the third row. - Fluid
We have vessels containing 7 liters, 5 liters, and 2 liters. The largest container is filled with fluid, the others empty. Can you only get 5 liters and two 1 liter of fluid by pouring? How much pouring is needed? - Pet store
They sold fish from one aquarium from the breeding product (Zverimex). Ondrej wanted half of all the fish, but to avoid cutting any fish, he got half the fish more than he wanted. Matej wanted half of the remaining fish, but like Ondrej, he got half the f
- Divisibility
Write all the integers x divisible by seven and eight simultaneously, for which the following applies: 100 < x < 200. - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: and the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Czech crowns
Oldrich has one crown. Peter has five crowns coin, a two crown coin, and a one-crown coin. Radek has a twenty-crown banknote, ten banknotes, and a five-crown coin. The boys got one fifty-one crown and one crown coin. How can they share the money fairly wh - Grandmother
Grandmother wants to give the candies to grandchildren so that when she gives five candy everyone, three are missing, and when she gives four candies, 3 are surplus. How many grandchildren have a grandmother, and how many sweets have? - Sunbathed 2861
There were more than 40 and less than 80 children by the pond. A fifth of the children took a bath, and a seventh sunbathed. How many children were at the pond?
- Granddaughter 2789
Grandma and her granddaughter Barunka have a birthday on the same day. During six consecutive birthday celebrations, Grandma's age was always divisible by Barunka's age. How many birthdays did Grandma celebrate at the last of these six celebrations? Grand - Determine 2757
The sum of all divisors of a certain odd number is 78. Determine the sum of all divisors of twice this unknown number. What is an unknown number? - Backpacking 2579
Aleš, Karel, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Karel carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the second s - Mr. Zucchini
Mr. Zucchini had a rectangular garden whose perimeter was 28 meters. The garden's area filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and write n - Divisibility by 12
Replace the letters A and B with digits so that the resulting number x is divisible by twelve /find all options/. x = 2A3B How many are the overall solutions?
- Perpetrator
A perpetrator is a number that is smaller than the number 80. It is a multiple of five, and it is odd. If we add up the tens and ones of this number, we get the number 8. - Florist
The florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - 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 - Shepherd
The shepherd has fewer than 500 sheep; where they can be up to 2, 3, 4, 5, 6 row is always one remain, and as can be increased up to 7 rows of the 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
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