Reason - practice for 13 year olds - page 14 of 41
Number of problems found: 810
- Painters
Ten painters will paint the school in 20 days. How many days do four painters paint the school at the same pace of work? - Grandmother 9451
Petr and Honza received 315 CZK from their grandmother. Petr Dostál a third more than Honza. How many crowns did each of them have? - Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we - Divisible 9331
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number. - Significant 9321
Only herbs with 5 and 7 leaves grow in the Old Forest. When the boar Vavřínec collects raw materials for herbal liquor, it always tears off the whole herb and puts it in a basket. What is the most significant number of letters he will ever manage to have - Calculate 9221
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Athletic club
All athletic club boys lined up by size. In front of Peter was one-eighth of the total. Right behind Peter stood his brother Radek and behind Radek, another five-sixths of the total number of boys. Mark the unknown total number of athletic club boys x. 1, - Determine 8611
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product. - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. A n - Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., and would use three times more digits than the pine trees alone. How many pine trees were there in the forest? - Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen? - Balls 8358
We have five red, four blue, and seven white balls in the bag. At least how many balls do we have to pull out to have at least one white ball on the table? - Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the - One three
We throw two dice. What is the probability that number three falls maximally once? - Representative 8328
How many ways can a commander and a representative of a 20-member group be elected? - Delayed clock
Michael put a new battery into his watch at midnight. However, they are 5 seconds late each minute. How many hours does the watch show in 24 hours? - Probability 8280
We have ten white, ten red, and ten blue balls in our pockets. We selected five white, two red, and three blue balls. What is the probability that we will pick a white ball in the next move? - Completely 8236
Vášek went on a trip, and since he had little money, he lent Lukáš the same amount he had. When he spent 40 crowns, he again borrowed from Adam the same amount as he had in his wallet. When he spent 40 crowns again, he was completely penniless. What amoun - Dog price
Tereza agreed to get a dog and 6000 crowns a year for help in a dachshund breeding station. After eight months, she had to finish work and got a dog and 2000 crowns. What price does a dog have?
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