Integer equation - practice problems - page 9 of 10
Number of problems found: 186
- 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 her three daughters. The 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. S - Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends? - 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 could have been in the secon
- 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 two types of camp cans for a total cost of 1460 CZK. The first can cost CZK 32, and the second cost 25 CZK. How many cans were purchased for each type? - Legs
There are four-legged chairs and three-legged stools in the room, all fitted with (one) person. I counted all the legs in the room, and there were 39. How many chairs, stools, and people are there? - Cooks
Four cooks cleaned 5 kg of potatoes for 10 minutes. How many cooks would have to work cleaning 9 kg of potatoes for 12 minutes?
- Mushrooms from the forest
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi, 5/9 bedel was found. Tereza discovered that she found 2/17 champignons among fungi. How many mushrooms were found, Magda? - Cottages
The summer camp has 41 cottages. Each has rooms for three and four. 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. - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
- Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing 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 is from the right, and on the - Package
The package has no more than 66 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left to remain. On the one blouse consumes 1.3 m of cloth and on one dress 5 m. Determine the amount of the cloth in the package. - Group
A group of kids wanted to ride when the children were divided into groups of 3 children, one remained. When divided into groups of 4 children, one remains. When divided into groups of 6 children, one remains. After being divided into groups of 5 children, - 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. - Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number?
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