Ratio - high school - practice problems - page 11 of 16
Number of problems found: 307
- Dalibor 3744
Milan and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milan have to give to Dalibor so their payments were 1:4? - Coins
Denis and Zdeno together have 97 coins. If Denis had four coins less than he has now, the coins would be in the ratio 14:17. Determine the number of coins owned by Denis and Zdeno. - Blueberries
Miko and Anton have a total of 1,580 blueberries. Miko and Anton have them in the ratio of 2:3. Determine how much each of them has. - The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?
- Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube? - Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid. - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace divided the side of the tul - Grandfather 3253
Grandfather keeps 40 animals — geese, pigs, goats, and chickens—in total. There are 3 geese for every goat. If there were 8 fewer chickens, there would be as many geese and pigs combined. If Grandpa exchanged a quarter of the geese for chickens at a ratio - Together 3206
Jana, Martina, and Zuzka shared candies in a ratio of 4: 5: 3. During this division, Martina had 16 sweets less than Jana and Zuzka had together. How many candies did each of the girls have?
- Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1: 6: 7: 2. Determine what weight each of them has. - Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers?
- Volume of three cuboids
Calculate the total volume of all cuboids for which the edges' sizes are in a ratio of 1:2:3, and one of the edges has a size of 6 cm. - Three-digit 2842
Determine the three numbers that are in the ratio 1: 2/3: 3/4, and the sum of the first two equals the smallest three-digit number. - Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus: A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly. - Centimeters 2721
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Men, women and children
On the trip went men, women, and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus had a revenue of 4,200 crowns?
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