Basic operations and concepts - math word problems - page 288 of 323
Number of problems found: 6445
- Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Compound interest 4
Peter placed 3600 dollars in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent? - MO Z6-6-1
Write integers greater than 1 to the blanks in the following figure so that each darker box is a product of the numbers in the neighboring lighter boxes. What number is in the middlebox? - Fertilizer
Mr. Gherkin uses for fertilization 7% solution of fertilizer. 9 liters of it still left. How much water must be added to the solution to make only the 4% solution? - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Square root by hand
Estimate √38 to the nearest hundredths, using any of the two methods (divide and average method or square root estimate formula). - An architect 2
An architect is designing a house. He wants the bedroom to be 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Sol - Quadrilaterals II
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M and divide the dodecago - MO Z6-I-2 2017
Erika wanted to offer chocolate to her three friends. When she took it out of her backpack, she found that it was broken, as shown in the picture. (The marked squares are identical.) The girls have agreed not to break the chocolate anymore and will draw l - Middle number puzzle
In the middle between the unknown number and the number 166 is the number a) 164, b) 200, c) 500 d) 1356 What are the unknown numbers? - Painters 5
Six painters were supposed to paint 6000 m² of area within the planned time. Two painters got sick, so each of the four who remained had to paint 50 m² more each day than the planned daily output. Calculate the original planned daily output of one painter - Isosceles triangle construction
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options. - On the board
A problem for dividing two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is increa - Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Gear wheels
There are two gears in the wall clock. The larger wheel has 54 teeth, and the smaller one has 24 teeth. How many times does the small wheel turn if the big one turns four times? - House numbering
The residential house has three entrances, numbered even numbers, successively immediately behind. The sum of the two numbers on the outside entrances is 68. Calculate the middle of these three numbers. - Product 3DN
How many three-digit numbers are there whose product of digits is 5? - Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Reciprocal
It is true (prove it) that if a > b > 0: (1)/(a)< (1)/(b)
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