Maths practice for 14 year olds - page 271 of 316
Number of problems found: 6320
- Two aircraft
Two planes fly to the airport. At some point, the first airplane is away from the airport by 98 km and the second by 138 km. The first aircraft flies at an average speed of 420 km/h, and the second average speed is 360 km/h, while the tracks of both plane
- Three monks
Three medieval monks have the task of copying 600 pages of the Bible. One rewrites in three days, 1 page, the second in 2 days, three pages, and a third in 4 days, two sides. Calculate for how many days and what day the monks will have copied the whole Bi
- Savings 2
Jozef and Michael saved 46 euros together. Michael saved 22 euros more than Jozef. How much did they save each of them?
- Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a 42 km/h speed. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run to t
- Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of
- Performances 2459
Three part-timers received a total of 2,800 Euros for their work. They divided them according to their performances so that the first got 2/5 less than the second and the third got 50 Euros more than the first. How many crowns did the third one get?
- Is right?
Determine whether the triangle with legs (catheti) 19.5 cm and 26 cm and the length of the hypotenuse 32.5 cm is rectangular.
- Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
- Isosceles trapezoid
Calculate the circumference and area of the isosceles trapezoid if you know the bases' sizes are 8 and 12 cm and the arms' sizes are 5 cm.
- Construction 2449
The construction material was taken away by three different large cars. The weight of the load on the second was 20% more than on the first. The weight on the third was 20% more than on the second. They loaded a total of 18.2 tons. How many tons were on e
- The dam
The water reservoir is filled with the first tributary for 25 hours and the second tributary for 35 hours. Sometimes, both inlets open, then a second tributary closed, and they filled the tank in four hours. What time does water flow from both tributaries
- Truncated pyramid
How many cubic meters is the volume of a regular four-sided truncated pyramid with edges of one meter and 60 cm and a high of 250 mm?
- Surface area 2
Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%.
- Liquid soap
Liquid soap lasted two weeks for one member of the family. How many days will it last if it is used: a) two members b) 4 members c) seven members?
- Bus and Milan
The bus started from the village at a speed of 60 km/h. After one kilometer, Milan went on a motorcycle with his grandmother to the bus stop. When they found the bus had driven away, he tried to catch it. At the next stop, at a distance of 3 km, he caught
- Dimensions 2430
The cabinet is shaped like a block, with dimensions 120cm and 150cm on the front side and 120cm and 60cm on the upper wall. It is painted twice on the outside. When 1 kg of paint is enough to paint 8m2, how much paint is used to paint the cabin
- Stairway
The stairway has 20 steps. Each step is 22 cm long and 15 cm high. Calculate the length of the handrail of staircases if the top and bottom exceed 10 cm.
- Calculate 2416
In the rectangle ABCD, we know the side length is AB = 16 cm, and the diagonal AC = 20 cm. Calculate its perimeter and area.
- Reduce of the volume
Calculate how many % reduce the volume of the cube is reduced the length of each edge by 10%.
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