Ratio - math word problems - page 16 of 84
Number of problems found: 1670
- 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 - Pyramid volume ratio
A regular quadrilateral pyramid with base edge length a = 15 cm and height v = 21 cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Basket candy ratio
There are lollipops, chocolates, and candies in the basket. The number of lollipops and chocolates is in the ratio of 2:3, and the number of chocolates and candies is in the ratio of 4:5. There are 15 fewer candies than lollipops and chocolates combined. - Slant surface
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Football field scale
What is the scale of the city plan if the new football field with dimensions of 90 m by 120 m is shown on it as a rectangle with dimensions of 3 cm by 4 cm? - Forest square map
A forest with a square plan has an area of 4 square km. What side will the square have on a 1:50,000 scale map? - Paper strip folding
A rectangular strip of paper measuring 4 cm x 13 cm is folded as shown. The two resulting rectangles have areas P and Q, where P = 2Q. Calculate the value of x. Note divide the side of 13 cm by x and 13-x. - Companies 3
Companies supplying electricity to households used two rates. In 1996, the price for 1 kWh was 1.10 CZK and the night rate was 0.46 CZK per kWh. In 1997, these rates were 1.28 CZK and 0.53 CZK respectively. Express the ratio of the standard rate to the ch - Antifreeze
A car owner needed to replace the antifreeze liquid in the radiator. On the label of the low-freezing liquid it was stated: volume parts of low-freezing liquid 2, volume parts of distilled water 1, freezing point -20°C. How many litres of low-freezing liq - Polygon angle ratio
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - 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 foot of the altitude to the hypotenuse divides it into two parts in a ratio of 2:4. What is the length of the altitude to the hypotenuse in cm? Calculate the perimeter of this right tri - 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 Paula is 2x older than Irene. Four years ago, Paula was 6 times as old than Irene was then. In how many years will the ages of Paula and Irene 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.
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