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
- Truncated cone and sphere
A sphere is inscribed in a truncated cone with base diameters D1=10 cm and D2=20 cm, touching both bases and the surface. What is its diameter? - Vehicle meeting calculation
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both - Car cyclist pursuit
Behind a cyclist traveling at an average speed of 20 km/h, he left the same place 2 hours later than a passenger car at an average speed of 60 km/h. How long and at what distance will the passenger car catch up with the cyclists? - Rectangle field
The field has the shape of a rectangle, having a length of 119 m and a width of 19 m. How many meters have to be shortened in length and increased in width to maintain its area and circumference by 24 m? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Z6 – I – 6 MO 2019
A mother was studying multi-digit numbers in which odd and even digits alternate regularly. She called those starting with an odd digit 'comical' and those starting with an even digit 'cheerful'. (For example, the number 32387 is comical, and the number 4 - Annulus outer radius
An annulus with an area S = 4.2 square meters has an inner radius r = 2.25 m. Determine the outer radius of the annulus. - An animal shelter
An animal shelter costs $5.50 per day to care for each bird and $8.50 per day for each cat. On Wednesday, Nicole noticed the shelter spent $283.00 caring for birds and cats. Nicole found a record showing a total of 40 birds and cats on Wednesday. How many - Paints - one-kilo cans
Mr. Novák is going to paint a shed which is 2.2 m high, 3 m wide, and 4.5 m long. On one side there is a window with dimensions 1*1.2 m. For one coat, 1 kg of paint per m² is used. One-kilogram cans cost 80 Kč, the more cost-effective two-kilogram cans co - Where and when
The truck left Kremnica at 11:00 h at a speed of 60 km/h. At 12:30 h, the passenger car started at an average 80 km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when? - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - School travel time
Igor takes 5 minutes to get to school. It takes Peter 4 minutes longer than Ondrej and four times longer than Igor. How long does it take for Peter and Ondřej to travel to school? - Ice skates
The price of ice skates was raised twice, first by 25% and then by 10%. After the second price increase, their cost was 82.5 euros. What was the original price of the skates? - Resistor current calculation
At a voltage of 16 V between the ends of the resistor, a current of 200 mA flows through the resistor. What current will flow through the resistor when connected to 48 V? - Appliance current calculation
The measurement showed that a current of 160 mA flows through the appliance at a voltage of 4 V. What current flows through this appliance when connected to a voltage of 12 V? - Parallels and one secant
There are two different parallel lines, a, b, and line c, that intersect the two parallel lines. Draw a circle that touches all lines at the same time. - Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C? - Brothers and sisters
There are 35 children in the class; 23 have a brother, and 27 have a sister. When five children in the class have no brother or sister, how many children have both a brother and a sister? - Race boy participation Seven girls and eight times more boys took part in the race. How many boys took part in the race?
- Tram meeting time
Trams of five lines run at intervals of 5, 8, 10, 12, and 15 minutes. At noon, they left the station at the same time. What time will they meet again? How many times will each tram pass the stop during that time?
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