Reason - practice problems - page 6 of 108
Number of problems found: 2142
- Digit sum MO Z9-I-4
Determine whether it is possible to add a single-digit number to the number with the digit sum of 2024 so that the resulting number has the digit sum of 74.
- Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm?
- Semicircles
In a rectangle with sides of 4cm and 8cm, there are two different semicircles, each of which has its endpoints at its adjacent vertices and touches the opposite side. Construct a square such that its two vertices lie on one semicircle, the remaining two o
- Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a six and ends with a two 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 in which it is possible to choose the route from Lehota via Hradec to Buda and back so that no road is used twice.
- Production
The company's production in February was 15% greater than in January and 25% less than in March. By what percent was the 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 is equal to the second digit increased by 5. The sum of the outer digits is equal to the second digit decreased by 3. If we write the digits of this number in reverse order, the num
- Toy car collection
Martin has more than 50 and less than 100 toy cars in his collection. A fifth of them are trucks, an eighth are vintage cars and the rest are models of current passenger cars. How many toy cars does Martin have in his collection and how many of them are p
- Visitors
The first holiday weekend, 1250 visitors came to the swimming pool in Zdice. Sunday was not so nice, so two-thirds of the number of visitors who were at the swimming pool on Saturday came. How many visitors were there on Saturday?
- Groups
Into what largest number of groups can we divide 336 children and 24 adults so that each group contains the same number of children and adults?
- Out of 124
Out of 124 students, 68 students went on at least one of the two trips. 82 students did not go on the first trip, and 63 students went on just one trip. How many students went only on the first trip, and how many students went on the second trip?
- Salesman 4
The salesman sold 3/5 of the potatoes on the first day and 2/3 of the rest on the second day. What fraction of the potatoes did he sell in two days? What fraction of the potatoes did he have left?
- Timetable
If a train traveling between two cities increases the speed specified in the timetable by 5 km/h, it will arrive 20 minutes earlier. If it decreases it by 5 km/h, it will arrive 25 minutes later. How long is the route between the cities?
- 23 students
The ninth grade students went on a field trip in such a number that they could sit at tables of 4, 5, and 6, and each time one seat remained free. What is the smallest number of students who 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 a small gym?
- The denominator
Find unknown denominator in fraction inequality: 6/5>41/_>8/7
- Frames
A framer is to prepare 23 picture frames. The frame will have dimensions of 30 cm and 42 cm. The strips from which he will make the frames are 3 meters long. a) How many frames will he make from one strip? b) How many strips will he need?
- In the parking lot 2
There were 12 cars in the parking lot - 5 green, 4 blue, and 3 red. What is the probability that the last car left in the parking lot is blue or green?
- Two-kilogram bread
Farmers harvested 3000 kg of rye from one hectare, from which they obtained 2500 kg of flour. 3 kg of flour will make 4 kg of bread. Calculate how many m² of land were used to grow rye, which is needed for 1 two-kilogram loaf of bread.
- Plums - a quarter
How many plums were originally on the bowl if Iva ate a quarter, Jana a fifth, Mišo three-eighths, and then there were 7 left?
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