Basic operations and concepts - math word problems - page 293 of 332
Number of problems found: 6633
- Bricklayers
Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days? - Fruit tea
Tea contains 7% of fruit components and 12% of sugar in this component. How many percent of sugar is represented in the whole tea? - Decibel
A circuit has an input power of 73 mW. Its output power is 18 mW. What is the loss in decibels? - Twos
Victor 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? - Special watch
Frank bought a special watch on the market. It has only one (minute) hand and a display showing the angle between the hour and minute hands. How many hours was his watch shown? The minute hand points to number 2; the display shows 125°. - Harmonic 4
Find the harmonic mean of -6 and 5. - Radius of a sphere
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Surface of cubes
Peter molded a cuboid of 2 cm, 4 cm, and 9 cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes? - Committees
How many different committees of 2 people can be formed from a class of 21 students? - Triangle from sticks
Bob the boulder has many sticks of lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed with the sticks? - Temporary workers
Three temporary workers work in the warehouse and unload the goods in 9 hours. At what time would five temporary workers unload the same products? - Hay supply
Hay stock is enough for four horses for 60 days. How long would this supply last for ten horses? - MO8-Z8-I-5 2017
Identical rectangles ABCD and EFGH are positioned such that their sides are parallel to the same. The points I, J, K, L, M, and N are the intersections of the extended sides, as shown. The area of the BNHM rectangle is 12 cm², the rectangle MBCK area is 6 - 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.) - Four-digit number puzzle
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - 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? - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Z9 – I – 5 MO 2018
Peter and Ivan created decorations from mutually identical white circles. Peter used four circles, which he placed so that each touched two other circles. Between them he then inserted another circle, which touched all four white circles, and he coloured
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