Integers - math word problems - page 17 of 18
Number of problems found: 348
- Rectangles
How many different rectangles with sides integers (in mm) have a perimeter of exactly 1000 cm? (a rectangle with sides of 50 cm and 450 cm is considered to be the same as a rectangle with sides of 450 cm and 50 cm) - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Proof I
When the larger of two consecutive integers is added to the product of those two integers, the result is the square of the larger integer. Is this true? - 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? - Positive integers
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - AVG of INT
What is the average of the integers from 11 thought 34 inclusive? - The perimeter
The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle. - 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. - Square table
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. - Points on circle
In a Cartesian coordinate system with origin O, a circle k is drawn with centre O and radius r = 2 cm. Write all points on circle k whose coordinates are integers. Write all points on the circle with centre O and radius r = 5 cm whose coordinates are inte - Triangle circumference puzzle
Christina chose a certain odd natural number divisible by three. Jacob and David then examined triangles with a perimeter in millimeters equal to the number selected by Christina and whose sides have lengths in millimeters expressed by different integers. - Triangle
In triangle ABC, point S is the incentre (centre of the inscribed circle). The area of quadrilateral ABCS equals four-fifths of the area of triangle ABC. The side lengths of triangle ABC are all integers expressed in centimetres, and the perimeter of tria - When will I be a millionaire?
Peter sends 220 euros to the bank each month, which bears interest at 2.9% p.a. Calculate how many months Peter must save to accumulate 33000 euros. Ignore inflation, changes in interest rates, and bank failures. - Dice
How many times must you throw the dice, and was the probability of throwing at least one pětky greater than 70%? - Bus departure
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget - Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot? - Triangles
Ivo wants to draw all the triangles whose two sides have a length of 4 cm and 9 cm, and the length of the third side is expressed in whole centimeters. How many triangles does he have? - Volcano height underwater
The Hawaiian volcano Mauna Kea reaches a height of 4205 m above sea level. M. However, it is the highest peak on the whole Earth because its base is far below sea level. Calculate how long the volcano is hidden below sea level if the total height of the v - On Tuesday 2
On Tuesday, the temperature at 9 AM at Camden's house was -4°Fahrenheit. By 4 PM, the temperature at his house was 8°Fahrenheit. Which statement about the change in temperature from 9 AM to 4 PM at Camden's house is true? Is house true? A. The temperature - Anthea
Anthea is running an experiment to examine vaccine shelf life, and she must precisely monitor the temperature. The starting temperature is −116 degrees Celsius (°C). The temperature rises by 35 degrees, then falls by 12 a degree. What is the final tempera
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