Basic operations and concepts - math word problems - page 219 of 319
Number of problems found: 6371
- Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going? - Letohrad 4396
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes? - Kilometers 4391 The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
- Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)? - Mr. Quick
Mr. Quick needs to drive from Brno to Prague. There is an oversized load on the D1 highway, which leaves Brno at 11:00 p.m. and its speed is 12 km/h. At what time should Mr. Quick set off first to avoid the traffic jam, i.e. to meet at the Humpolec exit a - Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
- Part-timers 6344
Certain work was to be done by 21 workers during an eight-hour workday, due in 12 days. After five days, temporary workers came to their aid. They all worked together for 7 hours a day and finished the job in 6 days. How many part-timers were there? - MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there? - Throughout 82075
In the metro, trains run in one direction at the same speed and the same intervals. Yesterday, there were 24 trains throughout the day. More trains will run today, as the time interval between trains will be shorter by 20%. How many more trains will there - Inflation
Once upon a time, the tsar owned a money printer and printed and printed. Printing money prices went up in the first year 2.7 %, in the second 2.1%, in the third 3.6%, and in the fourth 5.4%. Then tsar failed in the election. Calculate the average annual - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles. - Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Strawberry 71664
The opaque package contains five lemons, six apples, and three strawberry candies. At least how many sweets do we have to choose so that there is at least one strawberry among them? - Wallpapers 69424
Lucia's mobile phone offers a choice of 10 ringtones, seven tones when receiving an SMS, and 15 wallpapers in the background of the display. How many ways can Lucia set up her mobile?
- Percentage 67364
Create all four-digit numbers in which 0, 2, 5, and 9 are not repeated. A) How many such numbers are there? You solve using a tree diagram. B) What percentage of them are even? - Students 62184
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have? - Friends 7624
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? - Cards
How many ways can you give away 32 playing cards to 7 player? - Probability 86
At a business conference, there were ten social workers, 16 doctors, five lawyers, and two journalists. If a person is picked at random from the entire group, what is the probability: a) to be a lawyer b) to be a doctor.
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