Basic operations and concepts - math word problems - page 249 of 321
Number of problems found: 6401
- Connected 7933
There are three connected gears. Wheel A has 30 teeth, wheel B has 15 teeth, and wheel C has 20 teeth. How many turns does wheel A make when wheel C turns nine times? a) 6, b) 5, c) 4 d) 8
- Accepted 3423
The material for 83 masons of the company is enough for 12 days. How many days will this supply be enough for them if the company has accepted six more masons?
- Cyclist
Cyclist drives 5 km in half an hour. How long will you drive in 3 hours?
- Three machines
The power of the three machines is 2:3:5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours?
- Sea water
One tonne of seawater contains 25 kg of salt. How many tonnes of seawater needs to be evaporated to obtain 1 tonne of salt?
- Efficiency
What is the power output of a kettle 2 kW with an efficiency of 90%?
- Scale 3
Miriam's room is 3.2 meters wide. It is drawn by a line segment length of 6.4 cm on the floor plan. On what scale is the plan of the room?
- Road repair
Road repair took 13 days for 39 workers if they worked 5 hours a day. How many days take to repair the same road 24 workers if they work 7 per day?
- Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.
- 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%.
- Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one nines on the third row. Finall
- 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?
- Home is home
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier?
- Deadline
Five equally skilled masons built half the wall in 14 days. They must build the remaining part in 6 days to catch the planned deadline. How many more masons need to be allocated for construction?
- Five-digit number
Anna thinks of a five-digit number not divisible by three or four. If he increments each digit by one, it gets a five-digit number divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it swaps any two digi
- The farmer
The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell two cows and a third of the feed. How long will feed the rest of the peasant's herd last?
- Richard's numbers Z8-I-2 2019
Richard was playing with two five-digit numbers. Each consisted of different digits, which in one were all odd and in the other all even. After a while, he found that the sum of these two numbers starts with the double digit 11 and ends with the number 1
- Journey 5
A man has to make a journey of 84km in 3 hours. He travels the first 30km at 20km/hr. At what rate must he travel the remaining distance to complete his journey on time?
- The tourist
The tourist traveled 190km in 5 hours. Part of the journey was at 5 km/h, and the rest was by bus at 60 km/h. How long has a bus gone?
- Workers
Nine workers dig a canal 120 meters long for eight hours. For how long would digging five workers' canals be 200 meters long?
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