Length - practice for 13 year olds - page 59 of 67
Number of problems found: 1321
- Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city? - Sisters
Sisters Hanka and Vera go mostly to their grandmother by bicycle. Journey took Hanka 30 minutes and Vera 20 minutes. How long will Vera catch up with Hanka when she starts from home five minutes later than Hanka? - Cuboid
Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine the angle between the body diagonal and the base plane (round to degrees).
- Do you solve this?
Determine area S of a rectangle and the length of its sides if its perimeter is 102 cm. - Car consumption
The car has consumption 7.3 l/100 km. How much money will it cost to ride 330 km in long if the diesel price is 1.63 USD/l? - Paul and Honza
Honza went to chat on a bike without a break 4.0 hours. Paul went the same way without breaks 50 minutes longer. The difference between the speeds of the two boys was one kilometer per hour. How fast was Paul if you know that the boys' speed did not chang - Wheel
What is the wheel diameter if the 0.57 km track turns 106 times? - Chalet
The children were on a school trip to the mountain. One-third of the journey went by train and continued by bus. When you get off the bus, they remain a third of the distance they traveled by bus. What part of the journey do children go by bus (write as a
- Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km. - The body
The body on the figure consists of cubes with an edge length of 10 cm. What surface has this body? - Pit
The pit has the shape of a truncated pyramid with a rectangular base and is 0.8 m deep. The pit's length and width are the top 3 × 1.5 m bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.6 l of green color. How many liters of paint are ne - Plan of the village
The plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality. - Parallelogram
The perimeter of the parallelogram is 190 cm. The length of one side is 1.3-times longer than the length of the shorter side. What is the length of the sides of a parallelogram?
- Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Trousers
Jarek bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jarek's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%. Determine Jarek's high. - Hexagon 5
The distance of parallel sides of regular hexagonal is 61 cm. Calculate the length of the radius of the circle described in this hexagon. - Pedestrian up-down hill
Pedestrian goes for a walk first at the plane at 4 km/h, then uphill at 3 km/h. Then it is in the middle of the route, turns back, and goes downhill at 6 km/h. The total walk was 6 hours. How many kilometers went pedestrians? - Electrics - conductor
The wire is 107 meters long at 0 °C, and at every temperature increase of 1 °C, the length increases by 0.15 mm per 1 m length of wire. Determine a function that represents the wire's overall length as a temperature function. What is the length of the wir
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