Grade - math word problems - page 864 of 915
Number of problems found: 18286
- Brunette
The girls attending primary school are 30% blondes and 70% brunettes. 81% blondes and 19% brunette has blue eyes. How many girls attend school altogether if 470 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 = 105 cm is coated by a square tablecloth with a side length 121 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 4 days, first out by a second in $n day. Once firefighters pumped out 4/16 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 16 hours, and painter Petr painted the same fence for 13 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 6.1 meters long and a height 11.7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 9% of metal for waste.
- House roof
The house's roof is a regular quadrangular pyramid with a base edge 17 m. If the roof pitch is 57° and we calculate 11% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof?
- Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32.
- Ice cream in cone
The ice cream cone with a diameter of 4.8 cm is 0.5 dl of ice cream. Calculate the depth of the cone.
- Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees.
- Sector
The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes.
- G forces
Calculate car deceleration (as a multiple of gravitational acceleration g = 9.81 m/s²) when a vehicle in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in a 1.2 meters trajectory.
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