Numbers - math problems
Number of problems found: 1801
In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?
Kuba makes a deal with a shepherd to take care of his sheep. Shepherd said Kuba that after a year of service, he would receive twenty gold coins and one sheep. But Kuba resigned just after the seventh month of service. But shepherd rewarded him and paid h
- The classroom
The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Determine the width of the classroom.
The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has.
- Fraction to decimal infinite
Determine which digit is at 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
- Below sea level
A submarine was situated 800 ft. Below sea level. If it ascends 250 ft. , What is its new position? (Hint: Below sea level implies negative integer).
- Clock mathematics
If it is now 7:38 pm, what time will it be in 30,033,996,480 minutes from now?
- Harmonic mean
If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
- The land
The land, which has dimensions of 220 m and 308 m, the owner wants to divide into equally large square plots with the largest possible area. How long will one side of the plot be?
- All pairs
Determine all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s (a) denotes the digit sum of the natural number a.
- Group of children
There is a group of children. There is a boy named Adam in each of the three children subgroup and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group and what are their names in that case?
- The temperature 10
The temperature in a freezer is -15°C, and it increases by 3°C.
- Eight chairs
There are eight chairs by the table and one more child sitting on each one. There are two times more girls than boys. How many girls and how many boys can there be?
- The same
The same number of rabbits and hens are running on the farm. 468 feet run around the yard. How many rabbits and hens do they have on the farm?
- An airplane
An airplane flies 1440 km in 2 1/4 hours. What is its average speed in km per hour?
- 120 nuts
Divide 120 nuts in a ratio of 4: 6.
- Milk crates
A farmer sells milk in crates that hold 15 bottles. She has 34,125 bottles of milk. How many crates can the farmer fill?
- Dance ensembles
4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many danc
- Operations with sets
The set B - A has twice as fewer elements than the set A - B and four times fewer elements than the set A ∩ B. How many times more elements does the set A have than the set B?
- MF graduate
78 school students graduate from mathematics or physics. There are three times more students who graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate fro