# Grade - math word problems

#### Number of problems found: 5417

• Two gears
The two gears fit together. The larger gear has 32 teeth, the smaller has 20 teeth less. How many times does turn a smaller gear if the bigger gear turns three times?
• Two rooms
Woman cleans the room in 30 minutes a man in 90 minutes. How long will take they clean two rooms?
• Florist's
The florist got 72 white and 90 red roses. How many bouquets can bind from all these roses when each bouquets should have the same number of white and red roses?
• Three friends
Divide 570 euros to three friends so that first will get 50 euros less than the second and third twice more than the first. How many euros will get everyone?
• Substitution method
Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
• Troops - soldiers
Food stocks will last 20 soldiers of the 4-day training. How many days they could extend training if four soldiers become sick?
• Seawater
Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
• Rhumbline
Find circumference and area of the rhumbline ABCD if the short side AD of which has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm.
• Rectangle
The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
• Young Cyclists
Charlie and Peter will attend the Young Cyclists Meeting today. Peter is still not able to start, so Charlie went first alone. Peter followed him in 20 minutes. How long does he take to reach Charlie? Charlie is traveling at an average speed of 15km/h, Pe
• Bridge piers
One quarter of the bridge pier is sunk into the ground. Two thirds are in the water. Protruding above the water is 1.20 m long. Determine the height of bridge piers.
• Square roots
What is equal to the product of the square roots of 295936?
• Exhibition
The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
• Percent change
If the length of a rectangle is increased by 25% and the width is decreased by 10%, the area of the rectangle is larger than the area of the original rectangle by what percent?
• Bike wheel
The bike wheel has a radius of 30cm. How many times does it turn if we go on a 471m bike?
• Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
• Cube
How many times increases the surface area of a cube with edge 23.4 cm if the length of the edge doubled?
• Ski class
Class attend 30 boys and some number of girls. Ski training was attended by 28 boys and all the girls, which was 95% of all students. How many girls attend this class? How many percent is that?
• A man
A man spends 5/9 of his money on rent, and 5/16 of the remainder on electricity. If the final balance remaining is 550 find how much was spent on rent
• 10 pieces
How to divide the circle into 10 parts (geometrically)?

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