Reason - practice problems - page 7 of 109

Number of problems found: 2168

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?
Dice Rolls for Sum
Stella rolls a die from 1 to 6. How many times does she have to roll the die to be sure that the sum will be 4?
Fair
Several students from our class went on excursions. Everyone paid the same amount. In the end, there were a few euros left that needed to be returned to them. If we returned 3 euros to each person, there would still be 5 euros left. If we returned 4 euros
Fresh Plums for Dried
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried?
Apples in Basket
There are 24 pieces of fruit in the basket. Apples are 2 times more than pears. How many apples are in the basket?
Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people.
Probability - coin
When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times?
Product 3DN
How many three-digit numbers are there whose product of digits is 5?
Different balls
We have four different boxes and three identical balls. Place the marbles in these boxes so that the boxes can contain one, two, three or none. How many other locations are there?
Finishing Tasks Earlier
Nine-year-old Lucia is preparing for testing. He solves a collection of 40 tasks per day. He will need 9 days to solve all the tasks. How many days earlier would she finish if she solved 60 tasks a day?
Numbers 6D
Find out how many natural six-digit numbers exist whose digit sum is four.
Students with Honors
In the year's first half, 20% of the 8A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8A?
Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school?

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