Maths practice for 14 year olds - page 358 of 361

Number of problems found: 7215

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 of glass is needed to produce 97 panes in the shape of a regular hexagon with a side length of 21 cm? Assume that 10% of the glass is wasted in cutting.
Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in the ratio 2:16 and whose 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, and γ of triangle ABC are in the ratio 6:2:6. Calculate the size of each angle.
Tractors
Two tractors with different capacities are to plough a field. The first tractor can plough the entire field in 14 hours. The second tractor can plough the entire field 8 hours déle. How long does it take both tractors to plough the entire field working to
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 a rectangle is 3. The length is 2 times greater 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?
Teams
How many ways can we divide 14 players into two teams of 7 members?
Tournament
Determine how many ways can be chosen štyria representatives from 32 students to school tournament.
Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
Tangents
From point R, two tangents are drawn to a circle with a radius of 41 cm. The distance between the two points of tangency is 16 cm. Calculate the distance from point R to the centre of the circle.
Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 40% (SENIOR RAILPLUS) for 9.9 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 5 Eur per week.
Elections
In elections, candidates 8 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes.
Chords
How many 5-tónových chords (chord = at the same time sounding different tones) is possible to play within 10 tones?
Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
Sphere fall
How much percent fall volume of a sphere if the diameter decreases 3×?

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