Reason + inequalities - practice problems
Number of problems found: 25
- Inequality 12021
Solve on Z - inequality with absolute value: | x-18 | +4> 1 - Smallest 80368
What is the smallest whole number to replace the known x for: 9> x/3> 4. - More money
Lenka has €4.8 more than Natalia. Who will have more and how much when Lenka gives Natalia €2.5? - Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Party
At the party, everyone clinked with everyone. Together, they clink $strng times. How many people were at the party? - Inequalities: 4229
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3 - Double-digit 7736
How many double-digit numbers lie on the number axis closer to the number 31 than to the number 100? - Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400? - Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must you now catch grade 1 to get grade 2 on the report card? - Athletes
Athletes are standing in rows of eight. Ivan estimated that athletes are more than 120. Peter claimed that there are fewer than 130. Both are right. How many are athletes? - In the
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? - 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? - Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - 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? - 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? - 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? - 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, left the 11 trees. How many trees must seed? - 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 - 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? - 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.)
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