Natural numbers - high school - practice problems - page 8 of 17
Number of problems found: 321
- Sum of odd numbers
Find the sum of all odd integers from 13 to 781. - AP terms
What are the four terms of arithmetic progression between numbers 4 and 19? - 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. - Calculate
Calculate the sum of all three-digit natural numbers divisible by five. - Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms. - 10th term
What is the 10th term of the Arithmetic Progression if x1=4 and d=5? - Multiples of eight
Find the sum of the first 25 multiples of 8. - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - 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. - Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf? - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the - A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8? - Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove. - Divide
How many different ways can three people divide seven pears and five apples? - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb - Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t
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