Basic operations and concepts - math word problems - page 257 of 320
Number of problems found: 6381
- Participants 5319
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Kilograms 3094
1.5 kg of a 20% NaCl solution should be diluted to a 10% solution with water. How much water will we need, and how many kilograms of diluted solution will we get? - Increased 81490
Suzan managed to get 40 points out of a possible 60 from the last paper. Her average number of points from the tests increased from 27 to 28 points. How many points should she have written if she wanted her overall average to rise to 29 points? - Granite sidewalk
On the sidewalk, 3 m wide and 8 m long, 2 m³ of mosaic stone (granite cubes) was used. The master of tiles had to pave the sidewalk 2.5 m wide and 65 m long. How much m³ of the stone does it consume? - 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. - Hours 4443
Lada drove 27 km in 3 hours. How many km will he go in 7 hours? - Statistician 7500
A statistician monitored the variance of monthly wages and found its value to be 640,000. Determine the standard deviation of salaries if there is a one-off increase: a) about CZK 1,800, b) about 5%.
- Deposited 65534
Danka and Janka deposited their money in the bank in an account with an interest rate of 2.9 percent pa. How many euros did Janka invest if she earned 4.64 euros in interest and Danka 29 cents less? - Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice? - Cyclist 30
A cyclist covered a distance of 18 km in 32 minutes at a constant speed. What distance in kilometers would he have covered at the same speed in 80 minutes? - Tank 28
The tank fills in 120 hours. When irrigated, it empties in 10 days. At what time will it fill with simultaneous irrigation? - Together 81974
Two gears mesh together. The larger wheel has 56 teeth, and the smaller wheel has 20 teeth. How many times does the smaller wheel turn if the larger wheel turns 15 times? - Borrower 81777
You lent €400. The borrower paid you €440 back in 5 months. What was the yield on this loan? - Distance 73124
The map shows the cities of Beijing and Tokyo at a distance of 5.1 cm. Their actual air distance is 2040 km. What is the scale of the map?
- Identical 63584
Water flows out of the tank in 28 minutes via three identical pipes. How long would it run through seven similar pipes? - Strawberries
Three people pick strawberries from 48 rows in 8 hours. How many hours do five people need to pick strawberries from 20 rows? - Containers 2686
One m³ of wood weighs 650 kg, of which 12% is water. How many 10-liter containers do we need for this amount of water? - Part-timer
Seven part-timers paint 280 m of railings in 5 hours. How many meters of railing will nine part-timers paint in 4 hours? - Several resistors
We have a box with the same resistors, so all of them have a resistance value of 200 ohms. Draw the connection of several resistors so that the resulting resistance is: a) 100 b) 120 (only 4 resistors)
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