Grade - math word problems - page 500 of 950

Number of problems found: 18986

Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube.
Approximately 18133
Mr. Kotek drove from Brno to Prague at 11 a.m. at a speed of 80 km/h. His friend drove from Prague to Brno half an hour later at a speed of 85 km/h. Which of them will be closer to Prague when they meet? The distance between the cities is approximately 21
Departed 18123
The train left station A at 10 o'clock. At a speed of 55 km/h. One and a half hours later, opposite him, an express train departed from station B, 360 km from station A, at a speed of 130 km/h. At what time and how far from station A will both trains meet
Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm³
Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²)
Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid.
Consecutive 18083
The sum of five consecutive even numbers is 40. Find these numbers.
Probability 18073
Determine the probability that three balls, ten red, and ten blue balls, will be drawn from 3 balls of the same color.
Porcelain 18063
Four cups and one porcelain saucer cost € 140. Two cups and five saucers cost € 160. How much is a cup?
Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm.
Concentrate 18043
Fruit juice concentrate is sold in two-liter bottles. It is diluted with water in a ratio of 1:9. a) determine how to prepare 5 liters of fruit drink from concentrate and water. b) How many liters of fruit drink can be prepared from a full bottle of fruit
Fall sum or same
Find the probability that if you roll two dice, the sum of 10 will fall, or the same number will fall on both dice.
Equations 18023
Solve a system of equations with four unknowns: 2a + 2b-c + d = 4 4a + 3b-c + 2d = 6 8a + 5b-3c + 4d = 12 3a + 3b-2c + 2d = 6
Benches 18013
There are 12 benches in the park. Four people can sit on the bench. At least two people sit on each of them. How many and most people sit on benches?
Surface 18003
What is the cube's surface if the side is 5.2 cm?
Circular track
The competitor runs on a circular track with a radius of 86 m. How many meters will he run in five rounds? (Solution and detailed procedure)
Grandfather 17981
Today, my grandfather is four times older than his grandson. Two years ago, my grandfather was six years younger than five times his grandson's age. How old is your grandson today?
Cylinder 17971
The cylinder has a volume of 2000 liters and a height of 8 dm. What is its surface?
Circuits 17961
The area of one square is 81 cm², and the area of the other is 225 cm². What is the ratio of their circuits?
Annulus
Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n.

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