Reasoning - practice problems - page 7 of 31

Number of problems found: 613

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.
Plums - a quarter
How many plums were originally in the bowl if Iva ate a quarter, Jana ate a fifth, Mike ate three eighths, and 7 were left?
Dice Rolls for Sum
Stella rolls a standard six-sided die. How many times does she have to roll the die to be sure that the sum of the results will be at least 4?
Fair
Several students from our class went on excursions and each paid the same amount. In the end, some money was left over that needed to be returned to them. If we returned €3 to each person, there would still be €5 left. If we returned €4 to each person, th
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?

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