# Units - math word problems

#### Number of problems found: 3157

• The angle of lines
Calculate the angle of two lines y=x-21 and y=-2x+14
• Pump
What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours?
• Sphere
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Monkey
Monkey fell in 40 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
• V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
• Circle arc
Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of central angle.
• Rectangle
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
• VAT
VAT is a tax which the state artificially betrays goods and services for final consumption. VAT in Slovakia is 20%. Calculate how much percent pay less tax residents of Japonska, when VAT is only 5%.
• Track arc
Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
• Solid in water
The solid weighs in air 19.9 g and in water 17 g. Calculate the density of the solid.
• Floating barrel
Barrel (cylinder shape) floats on water, top of barrel is 8 dm above water and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
• N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
• Extreme temperatures
USA hit extreme heat wave. Calculate percentage of the air temperature change from normal summer temperature 23 °C to 40 °C.
Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
• Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate size of angles.
• Copper plate
Copper plate length 3.2 m and width 50 cm weighs 55.42 kg. What is the plate thick, if 1 m3 of copper weighs about 8700 kg?
• Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 15% (REGIONAL) for 5 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 19 Eur per week.
• Car inflation
About what percentage price of car increased if price rose from €1880 to €2200?
• Cube in ball
Cube is inscribed into sphere of radius 181 dm. How many percent is the volume of cube of the volume of sphere?
• Hollow sphere
Calculate the weight of a hollow tungsten sphere (density 19.3 g/cm3), if the inner diameter is 14 cm and wall thickness is 3 mm.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...