Natural numbers + divisibility - practice problems - page 9 of 14
Number of problems found: 280
- Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm? - Measuring 26891
What is the smallest square space we can tile with tiles measuring 25 x 15 cm, knowing there will be no need to cut them? How many tiles will we use? - 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 - Rectangular 56801
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution?
- 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? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, there will be two candies and eight empty boxes left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into - Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three always red. How much could Simon tear off white tulips? Write all the options. - 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 - Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- 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 - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) give remainder 4. - Diofant 2
Is equation 70x +52y = 34 solvable on the set of integers Z?
- Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number. - Determine 82975
Determine the sum of all positive odd numbers less than 78 - Sum of AP members
Find the sum of all the numbers between 8 and 258 that are divisible by 5.
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