Basic operations and concepts - math word problems - page 184 of 332
Number of problems found: 6633
- Park fountain percentage
In the shape of a rectangle, the city park, measuring 125 x 12 m, has a circular fountain with a diameter of 10 m. What percentage of this fountain represents the total area of the park? - Annulus
Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n. - Garden scale area
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Arc
What area is occupied by flowers planted in a circular sector with a radius of 3 m and a central angle of 45°? - Arc
The arc of a circle corresponding to a central angle of 357° is 18 dm long. What is the circumference of the entire circle? - Forest nursery
In a forest nursery, one borovice is planted per 2 m². Calculate how many plants are planted on an area of 510 hectares. - Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Circle waste percentage
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Rectangle area change
The sides of the rectangle are 6.6 cm and 4.2 cm. We change its dimensions in a ratio of 5:2. How many times does the rectangle's area change compared to the original rectangle? - Individual gadens
The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m². - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - Photo enlarge
Mark wants to enlarge a 4-inch by 6-inch photo to 15 inches in height. Use a ratio table to determine the new width of the photo. - Field on plan
The plan has a scale of 1:2500. Determine dimensions in centimeters of the plan if the field has a length of 310 meters and 182.5 meters. - Climb
For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (per mille, parts per thousand). - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 25%. What is the percentage change in the area of the hop garden? - Gimli Glider
A Boeing 767 loses both engines at an altitude of 35000 feet. The captain maintains optimal gliding conditions, losing 2100 feet per minute while maintaining a constant airspeed of 201 knots. Calculate how long it takes for the plane to reach the ground f - Square side increase
We increased the side of the square by 12% from the original 15 cm. For a, what was the perimeter and area of the new square? By what percent did the perimeter and area increase? - Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm? - Square side reduction A square has a side length of 25 cm. How big is its area if the side is reduced by 25%?
- National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded?
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