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
- All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a. - Isosceles triangle
The given is an isosceles triangle with a base of 24 dm and an arm of 15 dm. Calculate the height of the triangle. - Cycling distance
We cycled 8 km, a third of the distance we traveled. How many kilometers do we have to travel? - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°. - Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3 dm, b = 40 cm, c = 0.5 m b) a = 8 dm, b = 1.2 m, c = 6 dm - Fly travel time
The fly flies at a speed of 8 km/h. How many minutes will it fly from one place to another, which is 1600 m away? - Group of children
There is a group of children. There is a boy named Adam in each of the three children subgroups and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group, and what are their names in that case? - Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr - Snail speed
The snail bought a turbulent and immediately exchanged it for an old one. Suddenly, it crawled 2,376 m/s. If the road was 1,188 m long, how long did it take to get home with the new shell? - Ladder and wall
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach? - Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - Bike distance
Places A and B are 30 km apart. From A, Peter will ride a bike at a speed of 18 km/h. Milo is also a bike from B but at 24 km/h speed. How far apart will they be after 20 minutes? - Hydraulic jack force
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston? - Hydraulic press force The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
- Divisible by four
Are 240 divisible by 4? - Three-digit number creation
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Five-digit number creation How many five-digit numbers do we create from digits 1, 2, and 3?
- Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one to have the same volume as the original ones. What is the length of the edge of this cube? - Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m². - Ditch soil
How much soil is needed to dig a 200 m long ditch, the cross-section of which is a square with an area of 4812.5 cm2
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