Basic operations and concepts - math word problems - page 185 of 332
Number of problems found: 6633
- Circle in rectangle
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. If its dimensions are increased in the ratio 5:3, how many times does its area increase, and how many times does its perimeter increase? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Figure
Figure A is a scale image of Figure B, as shown. (Figure A is 6 inches, and Figure B is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x - Ski slope decrease
A ski slope drops 220 m in altitude over a horizontal distance of 800 m. Determine the percentage gradient. - Lake or pond
A landlord has a square pond. Trees grow around it. He wants to double the area of the pond without cutting down or flooding any trees. How will he do that? - Screens
The area of a 25-inch TV screen is 300 in² and the area of a 40-inch TV screen is 768 in². What percentage of the larger screen's area is the smaller screen's area? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Expansion
If one side of a rectangle is multiplied by 2 and the other side by 4, by what percentage does the area increase? - Square ratio comparison
Two squares are given. The first has a side length of 5 cm, the second 10 cm. Write the ratio of: for a- of their sides for b- their perimeters for c- their areas - Rectangle side percentage
One side of a rectangle is 45% of the length of its other side. What are the dimensions of a rectangle if its perimeter is 101.5 cm? - Track ascent meters
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Rectangle diagonal ratio
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - Sides of a rectangle
The dimensions of a rectangle are in a 4:12 ratio. If the shorter side length is 12 cm, what is the length of the longer side in centimeters? - Altitude difference
What is a climb permillage of the hill that is 4 km long and has an altitude difference of 6 meters? - Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm? - Percentage of waste
In a square plate with a side 58 cm, we cut four same circles. Calculate the percentage of waste. - Pipeline
By what percentage does the cross-sectional area of a pipe decrease if the circular cross-section is replaced by a square with the same perimeter?
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