Math practice for 13 year olds - page 114 of 414
Number of problems found: 8276
- In the city 2
In the city Náhoda (Coincidence), they abolished the timetables and the city buses run completely randomly. Imagine that you are standing at a bus stop, at which 5 buses stop with numbers 12, 14, 15, 21 and 27, and you can get home by two of them. a/What - Painter area days
Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days? - Cylinder diameter height
The cylinder's volume is 5 l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Worker output increase
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task? - Diamond height angle
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Team performance increase
In a 17-member team, two workers fell ill. By what percentage must the others increase their performance to accomplish at least as much as when the team is at full strength? - Rectangle area dimensions
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Minute hand circumference
What part of the circle's circumference will the minute hand pass in 15 minutes? - Runner opposite speed
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - A cyclist
A cyclist rides for 30 minutes on a style road to the top of a mountain. Down there, the road goes downhill. Its uphill speed is 20 km/h and 60 km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed - Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Prague Huddersfield scale
Prague's direct distance to Huddersfield (United Kingdom) is 1680 km. What is the map's scale, at which this distance is 84 cm? - For the tournament 2
For the dodgeball tournament, 8 teams signed up, from which pairs were formed by draw. In the first round, each pair played one match. The winners played semifinal matches and the winners of the semifinals played the last, final match, which determined th - Street plan length
What length will the 120 m long street have on the plan at a scale of 1:1500? - Lake map scale
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map. - Map actual distance
On a tourist map with a scale of 1:50 000, the distance between Štrbské Pleso and Štrba is 14 cm. What is the actual distance? - Sidewalk plan marking
The sidewalk is 500 m long. How will it be marked on the plan on a scale of 1:200? - Hemisphere layer
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Prizes in a competition
In a competition announced for a design of a poster, the prizes for the first three winners are prizes of a total value of 9 500 Kč. The second prize has a value of two thirds of the first prize, and the third prize has a value of two thirds of the second
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