Divisibility - math word problems - page 12 of 23
Number of problems found: 450
- Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7, and 8 just once. How many are there? - The florist
The florist had 200 roses in the morning. During the day, more than half sold it. The remaining roses will be tied to the bouquet. One always remains if a bouquet of 3, 4, 5, or 6 roses is bound. How many roses from the morning shipment were sold? - Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate. - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - Bricks pyramid
How many 50 cm x 32 cm x 30 cm bricks are needed to build a 272 m x 272 m x 278 m pyramid? - Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove. - Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Middle finger
Jana counts on one hand, going finger by finger. She starts counting from her thumb through her index finger, middle finger, and ring finger up to her little finger, reaching the number 5. Then she immediately goes back to her ring finger (6), middle fing - Number deletion puzzle
Delete two digits from the number 547 191 807 to get the smallest number divisible by 5. Write the sum of the deleted numbers - Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - Multiples
What is the sum of the multiples of number 7 that are greater than 30 but less than 56? - Trees in alley
There are four trees in the alley between which the distances are 35 m, 15 m, and 95 m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Z7–I–5 MO 2018 At the Rose garden centre, one shop ordered a total of 120 roses in red and yellow, the second shop a total of 105 roses in red and white, and the third shop a total of 45 roses in yellow and white. The garden centre fulfilled the order, in such a way tha
- MO C–I–1 2018 An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
- Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number? - Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - Z7–I–1 MO 2018 A single digit different from zero is written on each of three cards (the digits on different cards are not necessarily different). We know that any three-digit number formed from these cards is divisible by six. Moreover, a three-digit number divisible b
- Bombastic number We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
- Z7–I–4 2018 MO Betka
Karel was playing with gears assembled into a gear train. When he turned one wheel, all the others turned too. The first wheel had 32 teeth and the second had 24 teeth. When the third wheel (which is in the middle of the gear train) made exactly eight ful - Dance ensemble
The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six, and nine. How many dancers have an ensemble?
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