Natural numbers + inequalities - practice problems
Number of problems found: 15
- Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, leave the 11 trees. How many trees must seed? - Dining tables
The dining room has tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - Double-digit 7736
How many double-digit numbers lie on the number axis closer to the number 31 than to the number 100? - Parakeets 80471
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - One-fifth 2869
Find all natural numbers that are twice as much as one-fifth plus nine. How many are there? - Fraction 82713
Find a natural number about which: if we subtract 2 from this number and divide the result by three, we get a fraction less than 1 - 600 pencils
Six hundred pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
- Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400? - 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. - Centimeters 5681
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm? - Four-digit - sum A four-digit number has a digit sum of 20. The sum of its last two digits is equal to the second digit increased by 5. The sum of the outer digits is equal to the second digit decreased by 3. If we write the digits of this number in reverse order, the num
- 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? - Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one.
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Natural numbers - practice problems. Inequalities - practice problems.
