Grade - math word problems - page 150 of 950

Number of problems found: 18995

Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.
Triangle interior angles
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha.
Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c
Building shadow height
The school building casts a shadow 16 m long on the plane of the yard, and at the same time, a vertical meter pole casts a shadow 132 cm long. Determine the height of the building.
Glass cocktail level
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass?
Segment ratio reduction
I will reduce a segment of length 16 cm in the ratio 7:8, what will its length be in cm?
Angular velocity
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =?
Pool depth volume
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³
Diagonal of a cube
Calculate the volume of a cube with a wall diagonal of u = 20 cm.
Pole cutting pieces
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether?
Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle.
Stipend double increase
University students increased their stipend by 20% and then again by 10%. Now he gets 99 euros. What was his original scholarship?
Bicycle price half
The bicycles were sold for ½ the original price, that is for 5,600 CZK. How much did it cost originally?
Flag color combinations
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors?
Petr book pages
Petr read ⅜ of the book in the first week, ¼ of the book in the second week, and ⅒ of the book in the third week. The book has 240 pages. How many pages does Peter have left to read?
Motorcycle acceleration time
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time?
Number sum puzzle
I think of three numbers. When I add them, I get 15. When I subtract the third number from the sum of the first two numbers, I get 10. When I subtract the second number from the sum of the first and third numbers, I get 8. What number do I think?
Class boy girl
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class?
Grain flour grinding
We get 80 percent flour by grinding grain. How much grain do we need to grind to get 400 kg of flour?
Aquarium tube filling
Water flows into an aquarium with dimensions of 14x26x3m through a tube with a diameter of 5 cm at a speed of 2m/s. How long does it take for the aquarium to fill with water?

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