Reason + natural numbers - practice problems - page 22 of 28
Number of problems found: 543
- Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Centimeters 5681
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - University 5680
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month - Double-digit 5631
Write how many double-digit numbers there are, which, if we multiply by four, we get the result ending in two zeros. - Corresponding 5585
Consider the various points corresponding to the numbers a, 2a, 3a + 1 in all possible orders on the straight line representing the number line. For each option, decide whether such an arrangement is possible. If yes, give a specific example; if not, give - Ichthyosaurs 5577
There are five huge aquariums on an island in Jurassic World. At least two and at most six ichthyosaurs swim in each of them, with a different number in each aquarium. How many ichthyosaurs are there in total in all the aquariums? - Participate 5543
The dance group is preparing for a performance. The program includes dances in pairs, fours, and fives. How many members does a group have to have to dance all these dances and have all their members participate in each dance? - Remaining 5534
On the table lay eight cards with the numbers 2,3,5,7,11,13,17,19. Fero chose three cards. He added the numbers written on them and found that their sum was 1 more than the sum of the numbers on the remaining cards. Which cards could have been left on the - Three-digit 5524
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove - Unknown numbers
The sum of two consecutive natural numbers and their triple is 92. Find these numbers. - Mystery number
A mystery number is between 800 and 920. No digits are the same. The difference between the numbers is 5. What is the mystery number? - Squares 5479
Draw two stone squares. They have a total of 34 stones. What edges do the squares have? - Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm? - Inhabitants 5458
The population of the village rounding up to hundreds is 5600. Most how many inhabitants can live in this village? - Divisible 5454
How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9? - Equations 5445
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage and the largest of the three was equal to the sum of the remaining two. The conductor said - Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Remainder
A is an arbitrary integer that gives remainder 1 in the division with 6. B is a random integer that provides the remainder with division by two. What makes remainder in a division by three products of numbers A x B?
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