Maths practice for 14 year olds - page 365 of 369

Number of problems found: 7363

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
The plane flies at 900 km/h, passing distance 1800 kilometers with the wind and once again against the wind for 4 h 1 min. What is the wind speed?
Magnification of the square
If we increase the square side, increase the area of the 57 %. About what percentage was increased on its side?
The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 minutes. Calculate the distance from the village to the town.
Circle and angle
What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad?
Widescreen monitor
A wave of widescreen monitors and televisions hit computer businesses. Calculate the area of the LCD monitor with a diagonal size 27 inches at a ratio of 4:3 and then a 16:9 aspect ratio. Is buying widescreen monitors with the same diagonal more advanta
Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
Cylinder - basics
Cylinder with base radius r = 24 cm and height h=62 cm. Calculate: a) Area of the base
Cylinder - A&V
The cylinder has a volume of 463. The base has a radius of 4. What is the area of the cylinder's surface?
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.
Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length of 21 cm? Assume that cutting glass waste is 10%.
Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 2:16 and the perimeter is 1289.
Railways - golden parachutes
This is an example more from political science, or even a fairy tale about carp who won't drain their pond. Let's look at the short work of the director of the Carp Railway Company: 18 months of quasi "work" as director reduction and elimination
Electronics: Resistors in parallel
Concerning calculating the resistance of the parallel combination of resistors: (1)/(R) = (1)/(R₁) + (1)/(R₂) Calculate the R, if R₁ = 17Ω a R₂ = 20Ω
Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles.
Tractors
Fields go plow two tractors with various performances. The first tractor plows the whole field in 14 hours. The second tractor plows the whole field 8 hours déle. How long does it take to plow the whole field with two tractors?
Bits, bytes
Calculate how many different numbers can be encoded in a 64-bit binary word.
Rectangle Anton
The difference between the length and width of the rectangle is 3. Length is 2-times larger than the width. Calculate the dimensions of the rectangle.
Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters.
Examination
The class is 25 students. How many ways can we choose 5 students for examination?

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