Basic operations and concepts - math word problems - page 301 of 332
Number of problems found: 6633
- Consecutive natural numbers
Determine three consecutive natural numbers, the sum of which is 66. - Five numbers in ratio
Five integers are in the ratio 1:2:3:4:5. Their arithmetic mean is 12. Determine the smallest of these numbers. - Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm, 8.9 cm, and 13.75 cm? - The surface area
How much percent will the surface area of a 4x5x8 cm block increase if the length of the shortest edge is increased by 2 cm? - Room plan area
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm². Determine the actual area of the room in square meters. - Truth table tautology
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. - Census pyramid
Walter 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"? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - House Insulation Cost
The Drapers inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will they pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist - Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Cuboid enlargement
By how many percent increases the volume of the cuboid if every dimension increases by 30%? - Ratio
The radii of the two cones are in the ratio of 5:7. Calculate the volume ratio of cones that have the same height. - Target probability
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. - In an
In an ABCD square, n interior points are chosen on each side. Find the number of all triangles whose vertices X, Y, and Z lie at these points and on different sides of the square. - Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Scale factor
A prism with a volume of 1458 mm³ is scaled down to a volume of 16 mm³. What is the scale factor in fraction form? - Cube in ball
The cube is inscribed into the sphere of radius 6 dm. How many percent is the volume of the cube of the volume of the sphere? - MO Z6 I-3 2017 jars
Jano had 100 identical preserving jars, from which he built triangular pyramids. The highest floor of the pyramid always has one jar, the second floor from the top represents an equilateral triangle, whose side consists of two jars, etc. An example of the - Course plan length
The course is 80 m long. What will be its length on the plan at a scale of 1:500? (in cm) - Gutter pipe material
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding?
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