Basic operations and concepts - math word problems - page 181 of 332
Number of problems found: 6633
- An architect
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the - Dress fabric
To sew a dress, you need 2 meters of fabric 150 cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide? - Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne - Plot dimension reduction
The longer dimension of the rectangular plot was reduced by one-fifth, and the shorter dimension by 8%. By what percentage did the amount of land decrease? What is the perimeter of the fence now if the original dimensions of the fence were 60 m and 25 m? - Roof metal consumption
The roof is a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses. - Medians 2:1
The Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from vertex B? b, Find the distance between T and the side b. - Trapezium area
Given is a trapezoid ABCD with bases AB, CD. Let K be side AB's midpoint, and point L be side CD's midpoint. The area of triangle ALB is 15 cm2, and the area of triangle DKC is 10 cm². Calculate the area of trapezium ABCD. - Mountain railway
The railway line's height difference between points A and B is 38.5 meters. Their horizontal distance is 3.5 km. Determine the average climb in per mille up the track. - Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km. - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Circle arc segment
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Magic belt
The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had an area of 4 cm². What was its original length if the original width - Plastering plan
The mason was to plaster 24.2 m² of the wall in 12 shifts. At what percentage did he meet the plan when plastering 306 m² of walls? - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many per mille road rises? - Fence paint consumption
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35 m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5 m high and 42 m long. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Non-woven fabric
A square sandpit should have a side length of 1.6 m. How long do you need a wooden board to enclose the sandpit? Under the sandbox, a non-woven fabric will extend by 0.2 m on each side. How much will we need? - Rectangle area decrease
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how much less the area of the rectangle has decreased in percentages. - Negative and postcard
The image on the negative has dimensions of 36x24 mm and is enlarged to a postcard format of 13.5x9 cm. In what proportion have the lengths increased? In what proportion has the image area increased? - Plot dimension calculation
The rectangular plot has dimensions of 48 mm and 72 mm on the plan on a scale of 1:5000. Calculate its dimensions and give the results in meters.
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