Grade - math word problems - page 893 of 944
Number of problems found: 18874
- Bases
The length of the bases trapezium is in ratio 2:4. The length of the midline is 20. How long are the bases of a trapezoid?
- Divers
25-member group of divers carries the air for 10 hours of diving. 2 members of the expedition were sick or weren't coming. How many hours is sufficient air to other divers?
- Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line?
- Ethnicity
The share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period?
- Tram
In the three-part tram went 66 passengers in front of others, 48 after others and in the middle half. How many passengers went on the tram in total?
- Car
The driver of a car is to get to 454 km distant city. The atlas found that 54 km will have to pass through the cities at an average speed of 48 km/h. The remainder of the journey passes outside the cities at an average speed of 97 km/h. Calculate how many
- Brunette
The girls attending primary school are 80% blondes and 20% brunettes. 32% blondes and 68% brunette has blue eyes. How many girls attend school altogether if 490 girls have blue eyes?
- TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour.
- Numbers
How many different 4 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2,3?
- Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a
- Trains
From station 130 km away started passenger train and after 2.7 hours after the express train, which travels 20 km an hour more. Express train finish journey 12 minutes early. Calculate the average speed of these two trains.
- Round table
A round table with a diameter d = 133 cm is coated by a square tablecloth with a side length 156 cm. About how many cm is the higher center of the tablecloth than its corners?
- Fire tank
The whole fire tank was discharged once in 6 days, first out by a second in $n day. Once firefighters pumped out 4/5 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank?
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
- Painter Pavel
Painter Pavel painted the fence for 14 hours, and painter Petr painted the same fence for 12 h. How long should it take to paint the fence together?
- Cable car 2
The cable car rises at an angle of 16° and connects the upper and lower station with an altitude difference of 1082 m. How long is the cable car's track?
- The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen sees the bridge from the largest angle?
- Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC?
- Tower
The top of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste.
- House roof
The house's roof is a regular quadrangular pyramid with a base edge 20 m. If the roof pitch is 38° and we calculate 12% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof?
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