Basic operations and concepts - math word problems - page 281 of 321
Number of problems found: 6419
- Material 65504
The cube with an edge of 1 cm weighs 0.2 kg. What is the weight of a cube made of the same material with an edge 4 cm long? - Percentage 24931
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder? - Cylinder-shaped 3037
Nine hundred hectoliters of water were filled into the cylinder-shaped pool. The pool is 1.5 m deep, and its diameter is 10 m. What percentage of the pool volume has the water-filled? - Hollow block
A hollow block is a prism with dimensions a = b = 29 cm, v = 15 cm. The wall thickness is 4.5 cm. What percent of the volume of the block in masonry is its cavity? - Hectoliters in a tank
The block tank held 288 hectoliters of water. The bottom dimensions are 12m and 6m, and the depth is 2m. What percent of the tank volume does the water occupy? - Max - cone
The workshop must produce the greatest cone from the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, and 6.2 cm. a) Calculate cone volume. b) Calculate the waste. - All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a. - Variations 5437
From how many elements can we create six times as many variations of the second class without repetition as variations of the third class without repetition? - Gold ring
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - Whenever 12151
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken) - Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes? - Identical 81873
Three identical pumps empty the tank in 1.8 hours. How long will it take 5 pumps to empty this tank? - Different 55491
Add the same numbers after the same letters and different numbers after the other letters so that equality applies: KRAVA + KRAVA = MLIEKO, where K is an odd digit. - -------------- 7311
In the following additional example, the same letters represent the same digits, and the different letters represent different digits: RATAM RAD -------------- ULOHY Replace the letters with numbers so that the example is correct. Find two different repla - Rectangular 13993
The plan of the fitness center is made on a scale of 1:150. The rectangular fitness center has 5cm and 6cm dimensions on the plan. How many euros will we pay to cover the fitness studio with a floating floor if we pay 12 euros for 1 m² of floating floor? - Dimensions 81957 How many bricks are needed to build a wall that is 12 m long, 1.6 m high, and 47 cm wide if the dimensions of the brick are 30 x 15 x 7.5 cm and 5% of the wall volume is mortar?
- Into the bottle
The bottle can hold water weighing no more than 1 kg. Can you pour gasoline weighing the same amount into this bottle? - A map 4
A map represents every 4 miles with 1 inch. If a school and a bank are 12 miles apart, how far apart are they on the map, in inches? - The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
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