Math practice for 13 year olds - page 409 of 413
Number of problems found: 8253
- Concrete pipe
A concrete pipe is cylindrical with an inner diameter of 60 cm and an outer diameter of 67 cm. If it is 10 m long, calculate its total surface area. - 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 - 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?
- 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 - Barrel with liquid
Barrel with obilím weight 123 kg. When it sheds 56% of obilia, ha weight 74 kg, what is the weight of an empty barrel? - 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. - Degrees to radians
Convert magnitude of the angle α = 538°38'17" to radians: - 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? - Window
Peter knocked a 100 × 67 cm opening in the wall for a window frame. When the glazier installs the frame and glass, the glass will be 13.5 cm from the edge of the opening on each side. By what percentage less light enters through the glass than through the
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