Math practice for 13 year olds - page 350 of 413
Number of problems found: 8260
- Trucks
The truck takes you some amount of clay in 30 hours. The second truck takes the same amount of clay in 40 hours. Trucks carted the clay away some time together, then the second truck broke down, and the first one completed the job in five hours. What time - Cycling stage
The cycling stage rises on two-fifths of the length of the route and decreases to 2/8. The rest of the stage is flat. How many km does the stage measure if the ascent is 4 km longer than the descent? - Trapezoid angles
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Family budget
The family pays 250 euros a month for food, which is 33% of the total budget. How much money do they have left for other expenses? - Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden? - Welders
The first welder can do a job in 6 hours and the second in 8 hours. How long would the third welder take to do the job alone, if all three together can complete the job in 2 hours? - Backpack carrying
Alex, Charles, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Charles carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the seco - Time for the Third Pump
A factory used two pumps to empty a tank. The first pump can empty the tank in 50 minutes, the second in 30 minutes. Both pumps were started simultaneously, but to empty the tank as quickly as possible, a third pump was also started after ten minutes. All - Left-handed writer
Eve, Lucy, Barbara, Ivy, and Sylvia are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Sylvia is left-handed and, therefore, always wants to sit on the left side of the table? - Cyclists meeting
Two cyclists will set off simultaneously from one place on the circular cycling track. How long before they meet? Do you know that Charles will drive in 6 minutes and Laco in 10 minutes? - Area decrease
If the area of the square decreases by 19%, by how much percent does the side of the square decrease? - Component weight
The component is a regular decagon with a side of 2 cm. Its material weight of 1 m² of sheet metal is 24 kg. What is the weight of 200 components? - Internet households
There are 600 households in a certain village. Last year, three-fifths of them had an Internet connection. This year, the number of households connected to the Internet increased by 40. What proportion of households has an Internet connection this year? - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Kite
John has a kite, which is diamond-shaped (rhombus). Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending? - Stock materials
The company has an actual stock of materials of EUR 1,568,900, of which 8.6% is accounted for by excess stock. How much is Eur?
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