Basic operations and concepts - math word problems - page 284 of 323
Number of problems found: 6445
- Carbon dioxide
Calculate how many grams of oxygen are in 59 grams of carbon dioxide CO2. The relative atomic mass of oxygen is 16, and of carbon is 12. - Star equation
Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗ - Radioactive decay
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago. - Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - Zero insertion
Anička and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then, each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number f - Telephone calls
The random variable that models the time between 2 phone calls has an exponential distribution with density f(x)=10exp (-10x), x is greater than 0. Calculate its distribution function and the probability that the time between calls does not exceed 5 secon - Radius of a sphere
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Digits
Write the smallest and largest 2-digit natural number. - Cube cuboid minimum
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Ice Cream Cones Volume
How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer. - Three workshops
One workshop can complete the task in 48 days, the second in 30 days, and the third in 20 days. In how many days would the task be completed if all workshops worked? - Positive integers
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - Two trains
Two trains departed from City A and City B against each other. They met after some time. The first train took 9 hours to reach city B, and the second took 4 hours to reach city A. In what proportion were the train speeds? - Distance on map
The map's scale is 1:10000. What is the actual distance of 4cm on the map? - Car model
The car model is 52 mm long, and the real car is 4524 mm long. What was the scale of the model car? - Cyclist
A cyclist passes 95 km in 5 hours. How many kilometers did he pass in 8 hours? - Martin history grades
Martin has an arithmetic average of 2.8 out of five history grades. If he only gets one from now, how many ones would he have to get at least so that the arithmetic mean of his history grades is less than 2? - Dining questionnaire
In the class of 32 pupils, the class teacher delivered a satisfaction questionnaire to the school canteen. Eleven people have questioned whether they are satisfied with the dining room. The completed questionnaire also included the vote of the class teach - Earth's diameter
The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen fly over the Earth above the equator at 10 km if it is at an average speed of 1500 km/h?
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