Basic operations and concepts - math word problems - page 288 of 321
Number of problems found: 6401
- Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - Budapest 82510
In Trnava, it was -6 degrees Celsius; how much was it in Budapest, which was twice as hot.? - Theoretically 35321
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - The room
The room has a cuboid shape with dimensions: length of 50m and width of 60 dm, and height of 300 cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros. - Approximately 4222
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it? - Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must you now catch grade 1 to get grade 2 on the report card? - Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed. - Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7:5:3. Calculate the length of the edges. - Square root by hand
Estimate √38 to the nearest hundredths, using any of the two methods (divide and average method or square root estimate formula). - Calculate 5391
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - Reciprocal
It is true (prove it) that if a > b > 0: (1)/(a)< (1)/(b) - Guests - party
There are 13 guests at each other's party. How many clicks will you hear? - Scale plan
On a 1:150 scale plan, the garden is 20 cm wide and 30 cm long. What is the actual width and length of the garden? (in meters) - Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2:3:4 and the surface is 117 dm². - Colorado
The state of Colorado is a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster? - Diameter of a drum
Winding drum length 180mm, initial diameter 60mm. Using a 6mm rope with a length of 50m, what will be the diameter of the wound drum with the rope? - Cuboid
How many times will the volume of a cuboid increase if one dimension is twice larger, the second dimension three times larger, and the third dimension four times lower? - Plot
The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1:500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size. - Year 2018
The product of the three positive numbers is 2018. What are the numbers?
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