Grade - math word problems - page 416 of 953

Number of problems found: 19049

Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds.
Hydraulic - piston
The large piston of the hydraulic system has a capacity of 0.25 m² and a small 10 cm². How much force do we exert on the small piston to be lifted by 750 N?
Hydraulic blade force
The hydraulic blade has pistons with an area of 10 cm² and 500 cm². How much force acts on the larger piston if we act on the smaller piston with a force of 100 N?
Hydraulic jack
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston?
Electric cooker
During which time does an electric cooker with power input P = 500 W and efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10°C to the boiling point (t2 = 100°C)? The specific heat capacity of water is c = 4 180 J/kg/K.
Aquarium wet walls
The aquarium has the shape of a block with dimensions a = 40cm, b = 15cm, c = 30cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium.
System equation solving
Solve the following system of equations: x + 4y = 5 2x - 3y = -6
Number zero puzzle
I think the number is when you substitute it in the expression (x-4). (2x-1), you get zero. What number can it be?
Bus average speed
The bus going from Prague to the sand runs for one hour and 30 minutes. It travels 105 km. Calculate the average speed of the bus.
Sphere cube filling
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?
Fraction to decimal infinite
Find which digit is at 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
Pool filling time
How long does it take to fill a pool measuring 6x4x1m at a flow rate of Q = 0.2 dm³ / s?
Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m.
On the floor 2
The living room's floor area is 9 7/9 m². A carpet covering an area of 5 5/8 m² is placed on the floor. Find the area of the room that is not covered with carpet.
Cake portion comparison
Three children got part of the cake. Which got the most? Tomas 24% Lenka 0.3 Philip 2/7
Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC
Weighted harmonic average
Ten workers will do some work in 2 minutes, five in 10 minutes, and three in 6 minutes. How many minutes per average worker per worker?
Below sea level
A submarine was situated 800 ft. Below sea level. If it ascends 250 ft., What is its new position? (Hint: Below sea level implies a negative integer).
Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm.
Honored students
Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them?

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