Ratio - math word problems - page 16 of 83
Number of problems found: 1644
- Triangle angle ratio
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Father son ratio
The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both? - Rectangle perimeter ratio
The sides of the rectangle are relatively 5:4, and the perimeter of the rectangle is 308 dm. Find the area of the rectangle. - Solution mixtures
We have 1 liter of 80% solution. Every hour, pour 1 dl of the solution, add 1 dl of water (a 0% solution), and mix. What percent solution will we have after two mixings? - Hypotenuse, euclid
In a right-angled triangle, the hypotenuse has a length of 24 cm. The heel of the height on the hypotenuse divides it into two parts in a ratio of 2:4. What size in cm is the height at the hypotenuse? Calculate the perimeter of this right triangle in cent - Number ratio sum
The ratio of the two numbers is 1:3. Half of the larger one is 135. What is the sum of the two numbers? - Cleaner injury hours
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves? - Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Pavla Irena age Pavla is 2x older than Irena. Four years ago, Pavla was 6 times older than Irena was then. In how many years will the ages of Pavla and Irena be in the ratio of 4:3? Thanks
- 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. - Garden area ratio
Divide the area S=153 m² of the square garden in a ratio of 2:7. What part of the garden does the smaller part occupy? - Friends money division
The three friends divided the money earned as follows: Tonda got 2/5, Karel 2/9, and Jirko took the rest of CZK 102. How much did each of them earn? - Triangle similarity area
Triangle ABC and triangle ADE are similar. Calculate in square centimeters the area of triangle ABC if the length of side DE is 12 cm, the length of side BC is 16 cm, and the area of triangle ADE is 27 cm². - Mother daughter stride
Mother and daughter walked side by side. They walked 378 meters, and the mother took 840 steps. Before the mother takes 3 steps, the daughter takes 4 steps. What is the mother's stride length? How many steps did the daughter take? - Triangle perimeter ratio
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle? - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Dice five probability
What is the probability that two fives are rolled when two dice are rolled if we know that the sum of both numbers is divisible by five? - Hand velocity ratio
The minute hand is three times longer than the second hand. In what ratio are the magnitudes of the velocities of their endpoints? - Garden sidewalk diagonal
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Number percentage ratio The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum of the numbers is 396. Which numbers are these??
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