Prime numbers + divisibility - practice problems - page 3 of 11
Number of problems found: 208
- Tram stop
The blue tram stops every 12 minutes, the red one for 8 minutes. At 8 o'clock, they left the stop together. How many times do they meet at a stop before 11 AM? - 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 - An example
An example is playfully for grade 6 from Math, and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: The student made a cuboid from a block of 16x18x48 mm of plasticine. What will be th - Destination 18323
The family went on a trip to a ruin 6 km away. The father had a step length of 0.75 m, the mother of 0.6 m, and little Eva 50 cm. They went out on the same step. How many times did their steps retrace before reaching their destination?
- Probability 17013
What is the probability that a randomly written two-digit number from number 20 to number 99 will be divisible by 11, the power of number 3, or a prime number? - Twenty-five
How many are three-digit natural numbers divisible by 25? - 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? - Common divisors
Find all common divisors of numbers 30 and 45. - Length of a string
What are the smallest string length we can cut into 18 equal parts and even 27 equal parts (in decimeters)?
- Number
What number should be placed instead of the asterisk in the number 702*8 to get a number divisible by 6? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Matemakak 9432
The cookbook by Matěj Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest c - 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
- Notebooks 8651
I need to buy exercise books and covers. One notebook costs CZK 12, and one cover costs CZK 3. I have one fifty crown and one twenty crown. How many notebooks and covers can I buy for it? Come up with more options. - 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. - Banknotes
How many different ways can the cashier pay out € 310 if he uses only 50 and 20 euro banknotes? Find all solutions. - Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group? - Three-digit 8002
Find the largest three-digit number that gives the remainder 1 when divided by three, gives the remainder 2 when divided by four, gives the remainder 3 when divided by five, and gives the remainder 4 when divided by six.
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