Integer equation + natural numbers - practice problems - page 3 of 6
Number of problems found: 101
- 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 - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - Mathematicians 11761
The top five mathematicians in the class took on the teacher's help calculating the paper's average grade. They dictated the following results: Mischa: "I came up with 3.30. " Dasha: "That's weird because it worked out precisely 3.45. " Jana: "You probabl - Calculated 10371
There are several hotels in the Sunny Beach resort. Among them are one-, two-, three- and four-star hotels. During the walk, Janka calculated that the sum of all the stars in the resort was 69. More than half of the stars belong to one-star hotels. The nu - Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three always red. How much could Simon tear off white tulips? Write all the options. - Apples and pears
Apples cost 50 cents a piece, pears 60 cents a piece, bananas cheaper than pears. Grandma bought five pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears? - Four-digit number
Find all four-digit abcd numbers with a digit sum of 12 such that ab-cd = 1 - 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 - 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 - Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Observed 8276
We observed road traffic. We only saw bikes and cars. There were a total of 40 laps on the road. List at least three options how many bikes could be and how many cars? - Several 8130
The hotel has 27 beds in several rooms. There are single, double and triple rooms. How many single, double and triple rooms can there be in the hotel? Give at least three options. - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - 600 pencils
Six hundred pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done? - Construction 7926
Honza had 19 wheels in the kit. He used all these wheels in the construction of tricycles and scooters. How much does he assemble complete scooters, and how many tricycles? Find all solutions. - Dimensions 7912
How many blocks have integer dimensions of the edges of the surface is 48 m²? - There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears - Two-digit 7607
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Incorrectly 7484
Tomáš was given the task of solving 10 problems. He received 3 points for each correctly solved, and 4 points were deducted for each incorrectly solved. He scored a total of 9 points. How many tasks did he solve correctly, and how many incorrectly or not
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