Integer equation - practice for 13 year olds - page 4 of 5
Number of problems found: 84
- 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?
- Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - 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? - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- Daughters
The man conducting the census asks a woman the age of three daughters. Woman says when multiplying the age, get the number 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. She says: - Basements
In the first cellar, there are more flies than spiders. In the second, the opposite. In each cellar, the flies and spiders had a combined 100 legs. Determine how many flies and spiders could have been in the first and how many in the second cellar. PS. It - Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product). - Three co-owners
The three co-owners of the building company have earnings from a contract portioned in the ratio of 3:6:7. Each of them received the amount in the whole USD. One of them, on contract, earned 86450 USD. What were the total earnings for this order? - Scouts
Scouts purchased camp cans of two types total cost of 1460 CZK. The first cans were for CZK 32 and the second for 25 CZK. How many cans were purchased for each type?
- Legs
In the room are four-legged chairs and three-legged stools, and all are fitted with (one) person. I counted all the legs in the room, and there were 39. How many are there chairs, stools, and people? - Cottages
The summer camp is 41 cottages. Rooms are for three and four in them. How many of the 140 campers live on three? - Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution. - Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes with a count between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer from the right, and on the thir - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16.
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