Grade - math word problems - page 419 of 953

Number of problems found: 19049

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 24dm and an arm of 15dm. 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°.
Fly travel time
The fly flies at a speed of 8km/h. How many minutes will it fly from one place to another, which is 1600m 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?
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?
Bike distance
Places A and B are 30 km apart. From A, Peter will ride a bike at a speed of 18km/h. Milan is also a bike from B but at 24km/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 200m long ditch, the cross-section of which is a square with an area of 4812.5 cm²
Triangle angle ratio
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size.
The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
Granite column
A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons?

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