Basic operations and concepts - math word problems - page 268 of 321
Number of problems found: 6401
- Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
- Probability 68564
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll?
- Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain?
- Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 213 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea
- Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they
- Tractor 19
A tractor plows a field in 48 hours using a plow with 5 blades. How long will it take it to plow the same field with a plow with 6 blades of the same width, while maintaining the same tractor speed?
- Laboratory
In the laboratory, twelve liters of 80% prepared 40% alcohol were diluted to a final 70% alcohol. A five-liter barrel of 40% alcohol was available. How much will remain in the barrel of 40% alcohol?
- Saving problem
We want to save €25,000. We deposit €3,000 annually, and the interest is 4.4% (interest tax is 19%). How many years do we have to save?
- The hiker
The hiker will travel 40% of the route on the first day and 1/3 of the rest on the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day?
- Grams
How many grams of 5% solution do we need to add to 100g of 50% solution to get a 20% solution?
- Water solution
How many grams of salt should we dissolve in 400 g of water to get a 20% solution?
- Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- To convert
To convert from a Celsius temperature to a Fahrenheit temperature, multiply the Celsius temperature by 9/5 and add 32. Which is the Fahrenheit temperature corresponding to - 30 degrees Celsius?
- Remaining 23651
Food for 42 dogs is enough for 35 days. After 15 days, the two dogs adopted new owners. For how many days will the food for the remaining dogs be enough?
- Weighing 15943
A bag of red candies weighing 200 g is sold for CZK 18, and the same amount of blue candies for CZK 12. Create a mixture of sweets for CZK 8 per 100 g.
- Minutes 4465
Peter and Karel live at the same address. Peter will drive to the stadium in 30 minutes and Karel in 40 minutes. If Karel goes 5 minutes early, where will Peter catch up?
- Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%?
- Train and car
The train and the car started at a constant speed. When the train travels 87 km, the car travels 97 km. How many km does the train travel when the car travels 87 km?
- Interest 4818
The interest for one year on the deposit of € 2,000 was € 18. What was the annual interest rate in percent?
- Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the
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