Basic operations and concepts - math word problems - page 294 of 321
Number of problems found: 6415
- Cube 
 One cube has an edge increased five times. How many times will larger its surface area and volume? - 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. - Circumference 30781 
 How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - The ball 
 The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Cross-sections of a cone 
 Cone with base radius 15 cm and height 20 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - 13680m2  70374  
 Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days? - Increases  14471  
 How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%? - Function  8437  
 Express the volume of a cube as a function of its edge size. - Contradiction 55571 
 Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Gain 
 Find the gain whenever the output power is 18x the input power. - Combi-triangle 
 Each square side is marked 13 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Census pyramid 
 Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - 2x cone 
 Circular cone height 36 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone. - 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) - Widescreen monitor 
 A wave of widescreen monitors and televisions hit computer businesses. Calculate the area of the LCD monitor with a diagonal size 27 inches at a ratio of 4:3 and then a 16:9 aspect ratio. Is buying widescreen monitors with the same diagonal more advanta - Prism + rhomboid 
 The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - Smallest 79434 
 Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - 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? - Forces 
 Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Surface area 2 
 Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%. 
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