Reason - math word problems - page 30 of 109

Number of problems found: 2168

Dance ensembles
Four dance ensembles were dancing at the festival. None had less than ten and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many
Set element
The following holds for two non-empty sets, A and B: A ∪ B has 16 elements, A ∩ B has 11 elements, and the set A - B is empty. How many elements does set B-A to have?
Venn diagram
University students choose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine: - how many of the enrolled students chose English only - how many
Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
Pagans
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, and 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An e
Three dice
The player throwing the three dice asked G. Galilei: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him? Hint: write down all three triples of numbers that can be thrown, have a total of 11, have a total of 12, and compare proba
Telco company
The upstairs communications company offers customers a special long-distance calling rate that includes a $0.10 per minute charge. Which of the following represents this fee schedule, where m represents the number of minutes and c is the call's overall co
Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm, 8.9 cm, and 13.75 cm?
Light bulbs
You are in a room with 3 switches. In the next room, there are 3 switched off classic light bulbs in table lamps, each switch belongs to a light bulb. You cannot see from one room to the other. How do you find out which switch belongs to which light bulb
Even number writing
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers?
Leader captain selection
How many ways can a 6-member football club member choose a leader and captain from among themselves?
Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere?
Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
Two-element combinations
Write all two-element combinations from elements a, b, c, and d.
Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice
Borrowing bicycle
Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received two chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and three candies. How long can Peter r
Number difference
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits.
Tournament match calculation
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe?

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