Integer equation - practice for 14 year olds - page 2 of 5
Number of problems found: 93
- Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka, only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan, and how many are Marie - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - The theater
The Manila theater charged ticket prices: adults php500, students php250, and children below 12 are php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of adu
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25 - Lottery - eurocents
Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman beside him wants to buy a newspaper but is missing five cents. Tereza is in a generous mood after the win, so she gives the man five cents - Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grandfather ha
- Tiles
The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 tiles have so that no tile remains? - TV competition
In the competition, ten contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said - 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 - Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b? - 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? - 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 - Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
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