Basic operations and concepts - math word problems - page 286 of 321
Number of problems found: 6401
- Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube? - Distance on map
The map's scale is 1:10000. What is the actual distance of 4cm on the map? - Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel? - 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 - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Twos
Vojta started writing the number this year, 2019202020192020, into the workbook. And so he kept going. When he wrote 2020 digits, he no longer enjoyed it. How many twos did he write? - Equations: 80499
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.) - Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - 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 - Volume of three cuboids
Calculate the total volume of all cuboids for which the edges' sizes are in a ratio of 1:2:3, and one of the edges has a size of 6 cm. - Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen? - Precisely 64114
We painted a wooden cube with an edge 4 cm long with green paint over the entire surface. Then we cut it into small cubes with an edge length of 1 cm. The number of cubes that have precisely two faces colored green is: - Committees
How many different committees of 2 people can be formed from a class of 21 students? - Percentage 48223
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe? - Individual
To prepare 14 kg of cheese with 45% dry matter, 3 types of cheese mixtures were mixed. The first was 5 kg, the second was 3 kg and had 14% more dry matter (14 percentage points more) than the first. The third mixture, which had 2 times as much dry matter - 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 - 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? - Surface of wall
Find by what percentage the cube's surface will decrease if we reduce the surface of each of its walls by 12%.
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