Numbers - math word problems - page 279 of 308
Number of problems found: 6144
- Triangle
In triangle ABC, there is a point S with the center of the inscribed circle. The area of quadrilateral ABCS is equal to four-fifths of the area of triangle ABC. The lengths of the sides of triangle ABC expressed in centimeters are all integers and the - Geometry exercise
Calculations from geometry: The ratios of the sides of the quadrilateral are 3 : 6:4.5 : 3.5. Calculate their lengths if the circumference is 51 cm. The sizes of the angles in the quadrilateral are equal to 29°30', 133°10', and 165°20'. What is the size o - Locker Code Possibilities
Peter forgot the four-digit code to his school locker lock. Fortunately, his mother remembered some information about him. He knows that the first binary number is divisible by 15 and the second by 7. However, Peter is a big loser, so he has to try all th - Number arithmetic mean
The arithmetic mean of two numbers is 12. The first number is 5. What is the value of the second number? - Divide
How many different ways can three people divide seven pears and five apples? - Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient. - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions. - Average grade puzzle
The top five mathematicians in the class took on the teacher's help in calculating the paper's average grade. They dictated the following results: Mischa: "I came up with 3.30. " Dasha: "That's weird because it worked out precisely at 3.45. " Jana: "You p - Driver
The driver of the supply car reckoned that at the average speed of 72 km/h arrived at the warehouse for 1 1/4 hours. After 30 km, however, he unintentionally drove to the gas station and had ten minutes delay. At what average speed would you have to go th - Aquarium wet walls
The aquarium has the shape of a block with dimensions a = 40cm, b = 15cm, c = 30cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium. - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Operation asterisk pairs
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. In - Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Find common properties when selecting objects from the point of view of combinatorics. Find out the principle of calculating all possib - Pupil pair combinations
Without listing all the possibilities, calculate how many different pairs can be made A) of 12 pupils who want to go down a water slide on a two-seater inflatable in the water park. B) of 15 pupils who want to ride toy cars in the amusement park. - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Castle Museum
Many medieval cannons made of cannon were found in the Castle Museum (cannon is an alloy of tin and copper in a ratio of 1:9). The councilors agreed that they did not need cannons, but a new bell would be thrown at the town tower. The bells are made of be - Bus route network
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
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