Integers - math word problems - page 16 of 17
Number of problems found: 339
- Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Repairman
The repairman has vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he took a helper worker. Together, they made all the corrections for the whole day. How long would it take work to help workers? - Three digits number
How many are three-digit integers such that they have no digit repeats? - Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five? - Task of the year
Find the number of integers from 1 to 106 with ending four digits 2015. - Individual 82186
The average height of a member of a family of five is 1.5m, the mode of their height is 1.2m and the median is 1.6m. Find out the heights of individual members of this family if you know that they are integers in dm.
- Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - Rectangles
How many different rectangles with sides integers (in mm) have a circumference of exactly 1000 cm? (a rectangle with sides of 50cm and 450cm is considered to be the same as a rectangle with sides of 450cm and 50cm) - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - AVG of INT
What is the average of the integers from 9 thought 52 inclusive? - Positive 7040
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252
- Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not? - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm? - Determine 5893
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer
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