Searching word math problems
Discover the latest math problems and word problems designed to deepen your understanding of mathematics. Solutions are explained simply and clearly so that everyone can follow along. Regular practice is the best way to succeed at school and in entrance exams. New problems are added every day — come back and practice more.Number of problems found: 19682
- Right triangle
A right triangle has legs of lengths 71 dm and 919 mm. Calculate the area of this triangle. - Triangle
Calculate all three altitudes of triangle ABC with sides a = 26, b = 81, and c = 73. - Diamond
Find the side length of a rhombus whose area is S = 194 cm² and one diagonal is u₂ = 44 cm. - Lead cube
Calculate the cube's edge made from lead, which weighs 14 kg. The density of lead is 11341 kg/m³. - Circle
What is the area of a circle whose circumference is 51.2 cm? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - Pump
What power output must a pump have to raise 1060 hl of water to a height of 43 m in 8 hours? - Fan
A fan rotates at 217 RPM. Calculate the period of one rotation. - Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=19 cm, r2 = 11 cm, and height v = 5 cm. - The cap
A jester's hat is in the shape of a cone. Calculate how much paper is needed to make a hat 53 cm tall for a head circumference of 45 cm. - DIY press
Under the socialist regime, in some socialist countries, owning a typewriter required special permission. That has hindered the spread of DIY literature (manually transcribed through carbon copy paper for typewriters). Calculate how many typewriters today - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg? - Cylinder
Calculate the dimensions of a cylindrical container with a volume of 10 litres if its height equals its base diameter. - Family
A man and a woman have 7 daughters together (biological children only, excluding step-children). Each daughter has one brother. How many members are in the immediate family? - Cable car
A cable car rises at an angle of 44° and connects the upper and lower stations with an altitude difference of 1089 m. How long is the continuous (endless) tow rope? - Trigonometry
Given that cos(γ) = sin(806°), find the angle γ. - Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower? - Glass of juice
A cylindrical glass 13 cm tall with a base diameter of 9 cm is filled with juice to a level 3 cm below the rim. Determine the maximum angle to which the glass can be tilted without the juice spilling. - Chord MN
Chord MN of a circle has a distance of 28 cm from the centre S. Angle MSN is 54°. Determine the radius of the circle. - A trip to the Dry Peak
Calculate what percentage of the trip from Strečno to peak Suchý (Dry Peak) is longer than the descent back. The team of tourists (Palo, Peter, and Andrew) 's rise took 4:11 and descent 3:51.
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