Basic operations and concepts - math word problems - page 204 of 332
Number of problems found: 6633
- Direct proportion
y varies directly as x and y=32 when x=4. Find the constant of variation. - Line segment
The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will the new line segment be long? - Triangle height ratio
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Square area increase
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - A rectangle 2
A rectangle has a diagonal length of 74 cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Map scales
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - Printing pages
The printer prints one page in 4 seconds. However, it warms up for 30 seconds before printing. Express how many seconds it will take to print 84 pages. - Line segment
For the line segment whose endpoints are L[-15, -3] and M[-10, 13], find the x and y values for the point located 1 over 3, the distance from L to M. - Direct ratios
Examples of direct ratios from the given report topics: Number of workers Number of products Time per product Number of working hours Amount of earnings - Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side. - Rectangle circle ratio
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs? - Shape
A plane figure has a maximum area of 677 mm². Calculate its perimeter if the perimeter is to be as small as possible. - Figure 2
Figure A maps to figure B with a scale factor of 0.75. The length of the line AB segment in figure A is 10. What is its length on the image in figure B? - Line Segment Shorter Part
Did we divide the line 35 cm in length in the ratio of 9:6. How much does the shorter part measure? - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Radians
Convert 90° to radians. Write the result as a multiple of π.
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