Reasoning - math word problems - page 47 of 87
Number of problems found: 1734
- Cup Diameter Ball Displacement
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Bicyclist Meeting Walker
At 8:00, Peter set out on a hike at 5 km/h. At 9:12, Michael followed him on a bike at a speed of 20 km/h. At what time did Michael catch up with Peter, and how many kilometers did he cover? - Flu probability
In the monitored group of people, 8% are ill with the flu. One hundred people from this group were examined. What is the probability that at most 5 of them will be sick with the flu? (round to 3 decimal places) - Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S and D:S are with the remainder of 1. - Bench seating arrangements
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench? - Collection of stamps
Jano, Ralph, and Frank created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box? - Two pipes
How long will it take to fill the pool using both supply pipes if the first pipe alone fills it in 4 hours and the second pipe takes 9 hours longer than both pipes running together? - There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - At a party
At a party 12 guests left their shoes in the hallway. In total there were 6 pairs of men's shoes, 6 pairs of women's shoes, 6 pairs of brown shoes, 6 pairs of black shoes. After the party it was found that some of the shoes had disappeared. 5 men's and 5 - Cyclist Round Trip Distance At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city
- Three Consecutive Integers Sum
The sum of three consecutive integers equals three times the middle number. Specify these numbers. - Circus
At the circus performance, there were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus? - Math test
Obelix filled out a mathematical test in which he answered 25 questions. For every correct answer, he received 5 points. For each wrong answer, he had 3 points deducted. Obelix gained 36% of all points in the test. How many questions did he solve correctl - Non-skiers
All fifth-graders went together on a ski course. There were more than 30 but fewer than 40 of them. First they were divided into skiers and non-skiers. Half of all the girls ended up in the non-skiers group, along with the same number of boys. In the skie - The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7, and 8 just once. How many are there? - Paper money distribution
The four friends received money for collecting paper as follows: Miro received a quarter of the entire amount, Rob received a third of the remaining money, and Boris received half of the second remaining money. Peter had 1.50 euros left. How many crowns d - Cell division
At the end we could have something simpler and a bit (at least mathematically) more fun... At the beginning there was nothing... But no, here we have at the beginning one single cell. This cell is not just any ordinary cell, it is special, because there i
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