Reason + inequalities - practice problems
Number of problems found: 28
- 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 - Smallest 80368
What is the smallest whole number to replace the known x for: 9> x/3> 4. - AP - consecutive members
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170? - Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400? - Inequality 12021
Solve on Z - inequality with absolute value: | x-18 | +4> 1 - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.)
- 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? - Double-digit 7736
How many double-digit numbers lie on the number axis closer to the number 31 than to the number 100? - 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 - Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed? - Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - 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? - 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. - Ľé sweets
There are 20 sweets in the bag. Some are chocolate, other coconuts, and the remaining marzipan. Chocolate is four times more than coconut. Marzipan's less than chocolate. How much is in a bag of coconut sweets?
- Inequalities: 4229
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3 - Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle? - Mathematics 2980
More than 20, but less than 40 pupils go to 1.S. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. No one got a high five. How many 1.S pupils wrote the test with a four? - Horses 2773
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there? - Phone number
A phone number with nine digits, none of which are repeated. The middle number in the second three-digit number is 3 times greater than the 6th and twice greater than the 7th. The three-digit number in the middle 3 numbers is 2 times greater than the last
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Reason - practice problems. Inequalities - practice problems.
