Grade - math word problems - page 959 of 967

Number of problems found: 19327

Geometric mean
Calculate the geometric mean of 15.2 and 25.6. Also determine the mean by geometric construction, treating 15.2 and 25.6 as lengths of line segments.
Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
Wind drift
A plane flies at 780 km/h airspeed. It covers a distance of 1200 km with the wind and then the same distance against the wind in a total of 3 h 5 min. What is the wind speed?
Magnification of the square
If the side of a square is increased, the area increases by 57%. By what percentage was the side increased?
The cyclist
A cyclist travelled from a village to a town. The first half of the journey was at 24 km/h. The second half, which was mostly downhill, was at 38 km/h. The entire journey took 94 minutes. Calculate the distance from the village to the town.
Circle and angle
What is the arc length of a circle with radius r = 432 dm corresponding to a central angle of 0.53 rad?
Widescreen monitor
Widescreen monitors and televisions have flooded the market. Calculate the screen area of an LCD monitor with a diagonal of 27 inches at a 4:3 aspect ratio and then at a 16:9 aspect ratio. Is buying a widescreen monitor with the same diagonal more advanta
Orchard
An orchard has 10 trees in each of 5 rows. How many trees are in the orchard?
Promile
Calculate the 17.6 ‰ of 353.
Slovakia banks
It is an unwritten rule that the largest banks in Slovakia (by number of clients and balance sheet size) offer the worst and most expensive services. Many customers nevertheless remain loyal to the big three: SLSP, VUB, and Tatra banka. Calculate how many
Roller
The lateral surface area of a cylinder equals the area of one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
Tesco Clubcard
František got quarterly billing vouchers for Tesco ClubCard, taking goods worth 6.5 Eur. Calculate the average monthly amount Tesco stores bought goods. Tesco ClubCard works for every Euro spent; you get one ClubCard point, which Tesco will convert to one
Geometric progression 2
There is a geometric sequence with a₁=3.6 and quotient q=-2.1. Calculate a₁₇.
Father and son
A father and son are 74 years old together. The son is 30 years younger than the father. How old is the son?
Trio
58 children lined up in groups of three. How many children did not create a trio?
Addition of Roman numbers
Add the following and write the result as a decimal number: LXXV + MCCCXV
Cylinder - basics
A cylinder has a base radius r = 24 cm and height h = 62 cm. Calculate: a) The area of the base
Cylinder - A&V
A cylinder has a volume of 463. Its base has a radius of 4. What is the total surface area of the cylinder?
Human buying irrationality
I longer watch processors for Socket A on the secondhand market, Athlon XP 1.86GHz with a PR rating of 2500+ costs $7, and Athlon XP 2.16Ghz with a PR rating of 3000+ currently costs $16. Calculate: About what percentage of the Athlon XP 2.16Ghz is more p
Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S₁=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m.

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