Themes, topics - math word problems - page 108 of 167
Number of problems found: 3338
- -------------- 7311
In the following additional example, the same letters represent the same digits, and the different letters represent different digits: RATAM RAD -------------- ULOHY Replace the letters with numbers so that the example is correct. Find two different repla
- Continued 7310
In one workshop, they will do the given work in 15 days; in another workshop, where more members work, they will do the given work in 10 days. After three days of joint work, only the larger workshop continued the assigned work. In how many days will he f
- Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove.
- Single-digit 7302
Four different digits were on the four cards, one of which was zero. Vojta composed the largest four-digit number from the cards, and Martin the smallest four-digit number. Adam wrote the difference between Vojtov's and Martin's numbers on the board. Then
- Distance 7296
The cyclist covered a certain distance in 9 hours. How many hours does a car need to travel four times more if it moves three times faster?
- Distances
On the way from Bratislava to Trebišov (440 km), 2 cars set off towards each other. The car from BA set off at 8:00 a.m. and the car from Trebišov at 9:00 a.m. They met at 11:00 a.m., the car from Trebišov traveled 25 km less than the second car each hour
- Harvesters
The first harvester will harvest the grain from the field in 20 hours, and the second, the more powerful, will harvest it in 10 hours. How long will it take for both harvesters to harvest this field if the second harvester has to be set up first, which ta
- Grandparents
The grandfather set aside €1200 for savings. At the beginning of each month, he deposited €100 in the bank at an interest rate of 3%p. A. At the end of the year, he had €1,219.68 in the bank. Grandma immediately put the entire amount of €1,200 into the ba
- Parenthesis 7284
Tomas received nine cards with the following numbers and math symbols for math olympiad results. 18, 19, 20, 20, +, -, x, (,) Note 4 numbers and operators plus, minus, times, left parenthesis, right parenthesis. He stored the cards so that there were neve
- Motorcyclist and cyclist
At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist?
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Simultaneously 7272
The distance from Žilina to Košice is 260 km. From both places, 2 cars started opposite each other simultaneously. A car from Žilina travels at a speed of 58 km/h. The speed of a car from Košice is 72 km/h. In how many hours will these two cars meet?
- A car
A car weighing 1.05 tonnes, driving at the maximum allowed speed in the village (50 km/h), hits a solid concrete bulkhead. Calculate the height that would have to fall on the concrete surface to make the impact intensity the same as in the first case!
- A report
Maricris can type a committee report in 5 hours. Jane helped Maricris, and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked on alone?
- Bob traveled
Bob traveled 20 meters to Dave's house. He arrived in 3 minutes. What was his average speed for the trip?
- Density 7257
Can a boy lift a 75 kg rock from the bottom of a pond if we assume he will raise a 50 kg rock in the dry? The density of stone is 2500 kg/m3, and the density of water is 1000 kg/m3
- Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
- Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin
- Home cleaning
Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he
- Dirty road
Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads?
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