Integers - math word problems - page 14 of 17
Number of problems found: 335
- Gauss
Help little C.F. Gauss sum all the integers from 1 to 400.
- Six terms GP
Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12
- Sum of odd numbers
Find the sum of all odd integers from 13 to 781.
- Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
- Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer
- Paulownia
Seed germination is 80%. Of the sprouted plants, 8% subsequently die. How many plants does a gardener grow from 1,500 seeds?
- Chickens and rabbits
In the yard were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard?
- Snowman 2
On the medal, which has the shape of a circle with a diameter 18 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles
- Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno
- Numbers
Determine the number of all positive integers less than 5286382 if each is divisible by 19, 5, 23. What is its sum?
- Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- Segments
We divide line segments 59 cm and 5.3 dm long into equal parts, the lengths of which are expressed as integers in centimeters. How many ways can we divide?
- Three digits number 2
Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one position is one of the numbers 1,3,4, on the place of hundreds 4 or 2.
- Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²?
- Consider 6
Consider the following word problem: The temperature readings for 20 days at 1 AM at a local ski resort were recorded as follows: 9° 27° −4° 1° 5° 14° 6° 28° −2° 16° 30° 4° 20° 30° −5° 15° −7° 25° −1° 5° What was the average of the recorded temperatures f
- Remembered 4705
Petr remembered that the sizes of all sides of the triangle, measured in meters, were whole numbers smaller than 10. Two sides were 3m and 5m long. However, he needed to remember the size of the third party. Can you help him? What was the size of the thir
- Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha
- Corresponding 5585
Consider the various points corresponding to the numbers a, 2a, 3a + 1 in all possible orders on the straight line representing the number line. For each option, decide whether such an arrangement is possible. If yes, give a specific example; if not, give
- Elevator
The panel house has ten over-ground stories and four underground. The lift goes from the ground floor to the 2nd floor, then down to the 3rd underground floor, nine floors up, and finally four floors down. To what floor does the elevator arrive? How many
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