Maths practice for 14 year olds - page 360 of 368
Number of problems found: 7354
- Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing? - Lines
How many points will intersect 27 different lines where no two are parallel? - Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long. - Compass
What angle is between directions J (Juh) and ZSZ (ZápadoSeveroZápad) on the compass? - Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance? - Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears? - Tinsmith
Tinsmith constructs chimney pipe 186 cm long and 16 cm wide. A pipe is made from the plate overlap at the joint and needs to add $x cm width of the plate. What dimensions of the sheet will have to be prepared for the construction? - Cubes
Surfaces of cubes, one of which has an edge of 42 cm shorter than the other, differ by 16128 cm². Determine the length of the edges of these cubes. - Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors. - Free fall
Pavel fall from height 9 m. Calculate the speed at which he hit the ground when falling with acceleration g = 9.81 m/s² - Subway
The Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, it went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations? - Cuboid
Find the dimensions of cuboids a, b, and c; if diagonal d=6 dm has an angle with edge α=35° and has an angle with edge b β=66° - Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek. - The www server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9999%. - Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately? - Equation
How many real roots have equation x³=x? - R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - 7 heroes
6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²?
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