Grade - math word problems - page 468 of 968

Number of problems found: 19341

Board - 3 parts
A board measures 2 meters. The board was divided in the ratio 2:3:5. 1/5 of the first part is white, 1/3 of the second part is painted red, 3/5 of the third part is painted green. The rest of the board is unpainted. Answer: whether it is correct or wrong.
The plan
The plan of the housing estate is on three scales 1:5000,1:10000,1:15000. The distance between two points on a plan with a scale of 1:10000 is 12 cm. What is this distance on the other two plans? What is this distance?
Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m², length of the base edge a = 14 dm, the prism height 1,500 mm.
Rectangle area function
A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm²) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t.
Table side calculation
The area of the work surface of the rectangular table is 70 dm², and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table.
Mug volume calculation
What is the volume V (dl) of a cylinder-shaped mug if it is 8 cm high and its figure is 7 cm?
Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice?
Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now.
Flowerbed stone calculation
The gardener filled the flowerbed with crushed stone in the shape of an equilateral triangle with an 8-m-long side. If 25 kg of crumb was consumed per 1 m² of the area, how much crumb was used for the whole flower bed?
Even number creation
How many even two-digit numbers can be created from the digits 2, 3, 4, and 5 if no digit may be repeated?
Coffe cups
We have 4 cups, each with a different pattern. How many different arrangements of the 4 cups are possible?
Alcohol from potatoes
In the distillery, 10 hl of alcohol can be made from 8 t of potatoes. The rectangular field with 600 m and 200 m dimensions had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol?
1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?
An observer
An observer standing west of the tower sees its top at an altitude angle of 45 degrees. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tower?
Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0, and the diagonal on the line 3x + 2y + 3 = 0
Triple density
How many times does the density of a steel pipe increase if we triple its length?
Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner?
Class trip students
Of the 35 students in the 7 A class, there were five-sevenths on the trip. How many students stayed at home?
Escalator distance calculation
The escalator in the subway is moving at a speed of 0.7 m/s. Determine its length if the time from the boarding to the disembarkation of the passenger elapses 62.3 s
Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip?

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