Math practice for 13 year olds - page 112 of 428
Number of problems found: 8555
- Collection of candies
We mixed two types of candies into the collection. The first species is for 36 CZK per 1 kg, and the second species is for 54 CZK per 1 kg. What was the price of one kg of a mixture? - Cylinder diameter height
The cylinder's volume is 5l, 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
Of the 17-member team, two workers fell ill. By what percentage do others have to increase their performance to do at least as much as when the team is working in full force? - 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 20km/h and 60km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed o - 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 1680km. What is the map's scale, at which this distance is 84 cm? - 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 500m 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). - The temperature 28
The temperature rose 14°C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise? - Goods shipment delivery
During the delivery of the goods, the postman delivered one-third of the consignment on the first day, two-fifths of the rest on the second day, and 300 pieces on the third day. How many goods were in the shipment? - Circle diameter ratio
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter?
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