Basic operations and concepts - math word problems - page 291 of 332
Number of problems found: 6633
- Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had each collected. The arithmetic mean of Luke's and Peter's amounts was 10 kg more than Tibor's amount, and the arithmetic mean of Luke's and Tibor's amounts was 3 kg less than Peter's am - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - 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? - Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour? - Positive integers
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Even number writing
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers? - Wall brick count
How many bricks are needed to build a wall that is 12 m long, 1.6 m high, and 47 cm wide if the dimensions of the brick are 30 x 15 x 7.5 cm and 5% of the wall volume is mortar? - Well excavation transport
The company is to dig a well 25 m deep with a radius of 0.8 m. How many cars that can be loaded with 12 cubic m will be needed to transport the excavated soil if it is calculated that the soil will increase in volume by 10% when excavated? - 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? - Letter puzzle
In the following additional example, the same letters represent the same digits, and the different letters represent different digits: RATAM RAD -------------- ULOHY Replace the letters with numbers so that the example is correct. Find two different repla - Distance on map
The map's scale is 1:10000. What is the actual distance of 4 cm on the map? - Car model
A car model is 52 mm long, and the real car is 4,524 mm long. What is the scale of the model? - Cyclist
A cyclist passes 95 km in 5 hours. How many kilometers did he pass in 8 hours? - Triangle circumference puzzle
Christina chose a certain odd natural number divisible by three. Jacob and David then examined triangles with a perimeter in millimeters equal to the number selected by Christina and whose sides have lengths in millimeters expressed by different integers. - Candy division proof
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken) - Deposit
If you deposit 881 euros at the beginning of each year, how much money do we have at 1.6% (compound) interest after 8 years? - Interest
Calculate how much you earn for 8 years 17000 deposit if the interest rate is 1.2% and the interest period is a quarter. - Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in the ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration? - The cube
The cube has an edge of 12 dm. The second cube has an edge exactly 20% longer. How much % more water is in the second cube than in the first cube if the first cube is full to 3/4 and the second to 3/8?
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