# Reason + prime numbers - practice problems

#### Number of problems found: 116

- Owl A,B,C

Owl a gives a hoot every 7 minutes. Owl b gives a hoot every 9 minutes. Owl c gives a hoot every 5 minutes except when he has heard owl a or b give a hoot within the previous 2.5 minutes. If this happens, owl c doesn't give a hoot. If all three owls give - What is 20

What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Rectangles 70304

How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Two-digit 68654

List all compound positive two-digit numbers whose greatest common divisor with the number 51 is the number 17. - Mr. Product

The product of ages of all of Mr. Product's children is 1408. The age of the youngest child is equal to half the age of the oldest child. How many children does Mr. Product have, and how old are they? - Lcm = 22 + gcd

The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Athletics team

All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete - Two-digit number

In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits, but in reverse order, we get product 3 478. Find the original number. - We bought

We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them? - Coloured numbers

Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - Divisible by nine

How many three-digit natural numbers in total are divisible without a remainder by the number 9? - Different 29943

Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - Sweets, candy

Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grandfather ha - The florist

A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. If she ties a bouquet of three, four, five, or six roses, one rose will always be left. Det - School year

At the beginning of the school year, 396 notebooks and 252 textbooks were ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that t - Average monthly salary

A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o - Twenty-five

How many are three-digit natural numbers divisible by 25? - Rectangles

How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - Intervals 12201

Trams of five lines run at intervals of 5, 8, 10, 12, and 15 minutes. At noon they left the station at the same time. What time will they meet again? How many times will each tram pass the stop during that time? - Three lines

At 6 am, three bus lines depart from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as the firs

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