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: 19685
- Road roller calculation
The road roller has a base diameter of 1.2 m and a length of 180 cm. a) how many times did he turn on the road when he walked 2 km during work? b) what is the largest area it can cover if it turns 1000 times? c) how many kilometers will he travel if he co - The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1. - The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the father's age 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 and three months, the father's age will be the su - 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 measuring 16 cm and the arms 10 cm. - Fabric cost calculation
Mom bought the boys the same fabric for their clothes. Joey has 2.5 m of fabric, Karl 1.25 m, and Luis 0.3 m more than Karl. How many crowns will they pay for fabric if 10 cm costs CZK 13.80? - Hectare
The rectangular plot has a width of 2500 cm and is 0.065 km long. How much 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 area of about 7 dm². 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 hits the glass interface - Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Ball selection probability
There are 16 balls in a box: 7 white and 9 blue. Two balls are drawn at random. What is the probability that both selected balls are white? - Study results
Seven students in the class have excellent results, six praiseworthy, five good, four sufficient, and three 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 will the ships meet in the port for the first time? How many times have - Barrel diameter calculation
The barrel holds two hectoliters of water and reaches a height of 125 cm. Calculate the inside diameter of the barrel. - House number puzzle
Paul walks down the street on the side where the houses are numbered with even numbers. From the number 2, count the number of twos in the house numbers. He stops at home, in front of which he counts the fifteen two. What is the number of this house? - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. - Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.
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