Unit conversion - math word problems - last page

Number of problems found: 2677

Road
Between cities A and B there is a route 9 km long with an average gradient of 9‰ klesanie. Calculate the height difference between cities A and B.
Jewel
A rhombus-shaped jewel has an area of 23 mm² and a side length of 5.9 mm. Calculate the size of the acute angle of the rhombus.
Drunk man
The drunk man has 2.6‰ of alcohol in his blood. How many grams of alcohol has in his blood if he has 5 kg of blood?
Triangle SAS
Calculate the area and perimeter of a triangle if two sides are 46 m and 33 m long and the angle between them is 170°.
Cube - angles
Calculate the angle alpha (α) between the face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube.
Plasticine ball
Plasticine balls each have a radius of r₁=77 cm, r₂=98 mm, r₃=9 cm, r₄=81 cm, r₅=5 cm, r₆=74 mm, r₇=49 mm, r₈=43 mm, r₉=26 mm, r₁₀=2 cm. They are
Triangle SAA
A triangle has one side of length 23 m and two interior angles of 60°. Calculate its perimeter and area.
Ships
At 0:00, the ship set sail at 22 km/h. At 9:00 followed by 43 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake?
Cu thief
A thief stole 25 metres of copper wire with a cross-sectional area of $s mm². Calculate how much money the thief receives by selling it as scrap if copper fetches 5.1 EUR/kg. The density of copper is 8.96 t/m³.
Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does the wheel rotate on a 2.5 km trip?
Slope of track
Calculate the average gradient (in per mille and in degrees) of the railway tracks between Prievidza (309 m above sea level) and Horná štubňa (624 m above sea level), given that the track is 37 km long.
Reconstruction of the corridor
Calculate how many minutes the travel time will be reduced on a 213 km long railway corridor if the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes the travel time will be shortened if the train must stop at 6 stations, decel
Rotation of the Earth
Calculate the linear speed of the Earth's surface at a latitude of 34.5°. Assume a globe with a radius of 6378 km.
Bomber
Bomber flies 10 km at 850 km/h. At what horizontal distance from the target must the pilot drop the bomb to hit the target? Don't care about air resistance and consider the gravitational acceleration g=9.81 m/s².
Trolleybus
Trolleybus line No. 215 is 30 km long. If the trolleybus travels 4 km/h faster, the round trip would be 39 minutes shorter. Calculate the trolleybus's speed and the time for a round trip.
Temperature calculus
Calculate the percentage of temperature stúpla if changed from 3°C to 7°C.
Engineer bug
Comical errors, disputes and plots arise when converting physical units. The core of today's dispute was the price of natural gas. The unit was changed - from the natural unit of cubic meter of gas to the unit kWh. The goal was to be able to compare the p

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