Integer equation - practice problems - page 5 of 10
Number of problems found: 188
- Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b? - Average grade puzzle
The top five mathematicians in the class took on the teacher's help in 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 at 3.45. " Jana: "You p - Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, and heavy 5 points, and the best score was 84 points. How many points did Jane have when she solved all the easy examples, half of the medium, and one-third of the dif - Hotel star distribution
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
- Triangle circumference puzzle
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 - Kocour coin values
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 - Notebook cover purchase
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. - Integer ratio solutions
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Bikes Cars Wheels Count
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? - Cancer number
The number 20 137 is "cancer like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435. - Hotel Room Distribution Options
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. - Tables
The ninth-grade students are on a day trip. In the morning, the trippers had refreshments at a candy store. They sat down at tables in groups of three and took all the seats. At lunch, they sat down at a table in groups of four and again took all the seat - 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? - Tricycle scooter assembly
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. - Teachers Salary Average
A total of 10 teachers work at one small school in Moravia. Their monthly salary is CZK 21,500, CZK 21,800, or CZK 22,500, depending on their education and age. The average monthly salary of a teacher at this school is CZK 21,850. How many teachers of thi - Block edge dimensions
How many blocks have integer dimensions of the edges if the surface is 48 m²?
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