Reasoning - practice problems - page 7 of 88
Number of problems found: 1753
- Digit sum MO Z9-I-4
Determine whether it is possible to add a single-digit number to a number with a digit sum of 2,024 so that the resulting number has a digit sum of 74. - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Employees in a company
A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles. Calculate the total number of veh - Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li - Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a 6 and ends with a 2 and is divisible by 24. - Ways
There are 3 different roads from Lehota to Hradec and 4 different roads from Hradec to Buda. Determine the number of ways to choose a route from Lehota via Hradec to Buda and back, such that no road is used twice. - Production
A company's production in February was 15% greater than in January and 25% less than in March. By what percentage was production in March higher than in January? - Four-digit - sum A four-digit number has a digit sum of 20. The sum of its last two digits equals the second digit increased by 5. The sum of the first and last digits equals the second digit decreased by 3. If we write the digits of this number in reverse order, the numb
- Toy car collection
Martin has more than 50 and fewer than 100 toy cars in his collection. A fifth of them are trucks, an eighth are vintage cars, and the rest are models of modern passenger cars. How many toy cars does Martin have in his collection, and how many of them are - Visitors
On the first holiday weekend, 1,250 visitors came to the swimming pool in Zdice. Sunday was less pleasant, so only two thirds as many visitors came as on Saturday. How many visitors came on Saturday? - Groups
Into what is the largest number of equal groups we can divide 336 children and 24 adults, such that each group contains the same number of children and the same number of adults? - Out of 124
Out of 124 students, 68 went on at least one of two trips. 82 students did not go on the first trip, and 63 students went on exactly one trip. How many students went only on the first trip, and how many students went on the second trip? - Salesman 4
A salesman sold 3/5 of his potatoes on the first day and 2/3 of the remainder on the second day. What fraction of the potatoes did he sell over two days? What fraction did he have left? - Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. How long is the route between the cities? - 23 students
The ninth-grade students went on a field trip in a number such that when seated at tables of 4, 5, or 6, there was always exactly one seat left empty. What is the smallest number of students who could have participated in the field trip? - Gyms
There are 18 basketballs in a large gym. There are half as many in a small gym. How many basketballs are there in the small gym? - The denominator
Find unknown denominator in fraction inequality: 6/5>41/_>8/7 - Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need? - In the parking lot 2 There were 12 cars in a car park: 5 green, 4 blue, and 3 red. What is the probability that the last car left in the car park is blue or green?
- Two-kilogram bread
Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread.
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