# Latest word problems

#### Number of problems found: 815

• Playing cards
From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
• Find the 15
Find the tangent line of the ellipse 9 x2 + 16 y2 = 144 that has the slope k = -1
• The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the age of the father today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two years and three months, the father's age wil
• Tangents to ellipse
Find the magnitude of the angle at which the ellipse x2 + 5 y2 = 5 is visible from the point P[5, 1] .
• A section
A section of the boardwalk is made of 15 boards. Each board is 9 1/4 inches wide. The total width of the boardwalk is 144 inches. The spacing between each board is equal. What is the width of the spacing between the boards?
• Isosceles triangle
Calculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.
• Hectare
The rectangular plot has a width of 2500 cm and is 0.065 km long. How many CZK will we pay for covering the land with a lawn at the price of CZK 3,500 per hectare?
• Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm2. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface.
• Refractive index
The light passes through the interface between air and glass with a refractive index of 1.5. Find: (a) the angle of refraction if light strikes the interface from the air at an angle of 40°. (b) the angle of refraction when light strikes the glass interfa
The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.
• Study results
There are 7 students in the class with excellent results, 6 praiseworthy, 5 good, 4 sufficient and 3 insufficient students. What is the probability that it will be a good student when summoned?
• Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?
• Three ships
There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks the ships will meet in the port for the first time? How many times have
• Surface of the cone
Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
• Volume of the cone
Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
• Calculate
Calculate the surface and volume of the cone that results from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.
• Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, its height is 120 cm. What is the surface area of the cone?
• Rotating cone
Find the surface and volume of the rotating cone if its side is 150 mm long and the circumference of the base is 43.96 cm.
• Cone - side
Find the surface area and volume of the cone if its height is 125 mm and the side length is 17 cm.
• There 3
There are six bays at an oil change shop. It takes 45 minutes to work on a car at each bay. Cars are coming every 6 minutes to the shop for an oil change. How long before cars start backing up? What kind of spacing is needed to maintain proper flow?

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...