Basic operations and concepts - math word problems - page 270 of 322
Number of problems found: 6438
- Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one? - Three numbers
We have three different non-zero digits. We will create all three-digit numbers from them and use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers? - Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Motion problem
From Martina to Levíc, go car at speed 89 km/h. From Levíc to Martina, go another car at speed 71 km/h. How many minutes before the meeting will be cars 29 km away? - Smallest 7478
The hat has 14 grays, eight white, and six mice. What is the smallest number of mice we have to pull out of our hats to ensure we have at least one mouse of each color? - Christmas Day
In leap years, it was 53 Sundays. On what day of the week fell Christmas Day? - SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product. - Wendy
Wendy deposits R6500 into an account, paying 8% annual interest compounded monthly. How much money will be in her account after 84 months of paying 8% annual interest compounded continuously? - Two villages
Two villages are 11 km and 500 m away. The map determines their distance by a 5 cm long line. Find the scale of the map. - The scale
The distance of 15 cm on the map corresponds to 27 km in reality. What is the scale of the map? - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Three-digit 80768
Nikola had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum? - Municipalities 63534
The tachometer with a relative measurement error of 5% showed a speed of 49 km/h when crossing municipalities. Did the car driver exceed the permitted speed of 50 km/h? - Shifts 82622
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5? - Mushrooms 18933
When dried, mushrooms lose 80% of their weight. How many fresh mushrooms do we need to get half a kilogram of dried ones? - Divisible 9331
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number. - Justification 8468
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Dilute 8392
I have 500ml of 31% acid and must dilute it to 5%. How many ml of water do I need to add? - Gardeners 5542
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it?
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