Reason + integer equation - practice problems
Number of problems found: 115
- Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Four-digit number
Find all four-digit abcd numbers with a digit sum of 12 such that ab-cd = 1 - Digit sum
How many are three-digit numbers that have a digit sum of 6? - Unknown 2881
Find an unknown number: (9 + y) x 6 = 12 x 7 y =? - Five number code
I have a five-digit code on the bag that I forgot. I remember that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. - Bikes
Pepa asked Honza how many bikes he had. He replied that he had three-quarters of their total number and another three-quarter of one bike. So how many cycles does Honza have? - Diofant equation
250x + 120y = 5640 - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Squares
From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - MATHEMATICS: 46893
Solving the problem, substituting letters with numbers in the word MATHEMATICS: MAT + EMA = TIK - Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b? - Age
In 1960, my age was equal to the digits sum of the year of my birth. What is my age now? - One hundred stamps
A hundred letter stamps cost a hundred crowns. Its costs are four levels - twenty tenths, one crown, two-crown and five-crown. How many are each type of stamp? How many does the problem have solutions? - Multiply 80797
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they? - Animals
All without two animals are dogs, all without two are parrots, all without two are cats, and the others are chickens. How many animals of individual species does Ms. Novak take care of? - Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Dimensions 7912
How many blocks have integer dimensions of the edges of the surface is 48 m²? - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
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