Integer equation - practice problems - page 8 of 10
Number of problems found: 186
- Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Two friends
Two friends met as a good man perished together for a beer. After recovering the most important topics (politics, women, football ...), one asks: - And how many children do you have? - I have three children. - And how many years have you? A friend already - Cakes Z8-I-5
Mom brought ten cakes of three types: coconut was less than Meringue Cookies, and most were caramel cubes. John chose two different kinds of cakes. Stephan did the same, and Margerith left only the same type of cake. How many coconuts, Meringue Cookies an - Maximally 4036
Mr. Novák wants to pave the terrace with tiles of two sizes to be as small as possible. Its terrace is square with a side 3 meters long. There is a wall of the house on two sides of the terrace. Next to the wall, he wants to put small tiles, the rest larg - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one nines on the third row. Finall - Unknown number 5
Daniel thinks of an integer. When he changed this number to a ratio of 2:5, he got the number 2.8. Determine what number Daniel thinks. - Infinitely 3818
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea
- The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy? - Unknown 2881
Find an unknown number: (9 + y) x 6 = 12 x 7 y =? - Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years. - Denominator 2858
Which same integer must we add to the reader and the denominator of the fraction 37/73 so that the fraction equals one-half? - Sometimes 2814
Adam was at some of his favorite football team's home games last season. Sometimes, he bought a seat ticket for €9, sometimes a standing ticket for €5. He spent a total of €76. How many times did Adam buy a seat ticket, and how many times did he buy a sta - Horses 2773
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there? - Remembered 2766
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle? - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist?
- Candies 2597
Two bars and one candy cost 24 CZK. Two candies and one bar cost CZK 27. How much does candy cost? - Tangerines 2508
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has. - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - Repairman
The repairman has vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he took a helper worker. Together, they made all the corrections for the whole day. How long would it take work to help workers? - Primes 2
For what primes p,q,r is true: p²-(q+r)²=647
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