Integer equation - practice problems - page 5 of 10
Number of problems found: 194
- Integer sum difference
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Rectangles
Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn? - Rectangles How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
- 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, Jane 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 num - 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
Christina chose a certain odd natural number divisible by three. Jacob and David then examined triangles with a perimeter in millimeters equal to the number selected by Christina and whose sides have lengths in millimeters expressed by different integers. - 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. - Price of cake
Honzík invited a few friends to his home and for refreshments he bought, among other things, 30 cakes of three different kinds. The price of one blueberry cake was 8 crowns, one poppy cake cost one crown more than one curd cake. Poppy cakes were a third, - 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 group had refreshments at a sweet shop. They sat at tables in groups of three and filled all the seats. At lunch, they sat at tables in groups of four and again filled all the seats. There we - 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
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