Reason + prime numbers - practice problems - page 7 of 8
Number of problems found: 152
- 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? - Digits of age
The product of the digits of Andrew's age six years ago is the same and not equal to 0. Andrew's age is also the youngest possible age with these two conditions. After how many years will the product of the digits of Andrew's age again be the same as toda - 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?
- Cents no more
Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins, just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros? - Gears
The gearing fits the wheel with 20 teeth to the wheel with 36 teeth. Before starting, the machine is painted tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that - Four classses
Students of all 7, 8, and 9 classes in one school may take up 4,5,6, and 7 abreast, and nobody will be left. How many is the average count of pupils in one class if there are always four classes in each grade? - 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?
- 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? - The exhibition
The teacher paid 280 CZK for four students for admission to the exhibition. How many students were at the exhibition? Hint: 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 attends 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 mark 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. - 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? - 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?
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