Reason - practice for 14 year olds
Number of problems found: 800
- Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - So far
So far on its tour, a band sold out 3 shows and did not sell out the other 3 shows. Considering this data, how many of the band's next 4 shows would you expect to be sold out? - Kenneth 2
Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents? - Tables and chairs
The cost of 4 tables and 3 chairs is $225, and 3 tables and 4 chairs cost $195. Find the cost of 2 chairs and 1 table. - My 4
My 4-digit number is a palindrome; it has a remainder of 21 when you divide it by 100. what is my number? A palindrome is a number that does not change if you write it backward. - The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions? - Married 83309
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Percentage 83250
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show? - Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one? - Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise? - Probability 83133
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5? - Determine 82975
Determine the sum of all positive odd numbers less than 78 - Direction 82705
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Precisely 82697
The tennis player won precisely 55% of the balls during his serve. In doing so, he served less than thirty times. How many times did he serve? - Yesterday 82688
A total of 680 adults visited the swimming pool yesterday, among whom there were 30% fewer men than women. How many men visited the swimming pool yesterday? - Children 82574
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the - Roofers 82541
Three roofers cover a third of the roof in 10 days. In how many days would 5 roofers cover the entire roof at the same rate? - Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many - Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors?
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