Grade - math word problems - page 123 of 942
Number of problems found: 18839
- Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE? - Lifetime - bell curve
Laser lifetime follows a normal distribution with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that the laser will fail before 6000 hours? What is the probability that the laser will last at least 7500 hours? - Material 83438
Five cars deliver 300 tons of material in 6 days. How many tons of material will 10 cars deliver in 9 days? - Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there? - Cylindrical bucket
The cylindrical bucket was filled 2/3 with water. You know that the diameter of the bottom is 25 cm, and the water reaches a height of 24 cm. What is the maximum amount of water that can be poured into the bucket? - Together 83433
Twenty-nine girls and 16 more boys went on the school trip. How many children went on the trip together? - Calculate 83431
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC.
- Straight and right
What is the arithmetic mean of straight and right angles? - Spherical 83427
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Hectoliters 83422 A barrel with a volume of 3 hectoliters was rolled into 375 bottles. Some had a volume of 0.7 l, some 1.0 liter. How many were there?
- Quadrilateral 83421
Calculate the volume of the shell of a quadrilateral prism with a rhombus-shaped base with dimensions a=6cm, va=40mm. The height of the prism is 81 mm. - Quadrangle ACEG
The figure shows two rectangles ABCD and DEFG, with |DE|=3 CM, |AD|=6 CM, |DG|= 5, |CD|= 10 CM. Calculate the area of quadrangle ACEG. Figure description: the rectangles have one vertex D in common. Rectangle ABCD has twice as long sides as DEFG. All si - Sidewalks 83417
The pavers paved 1/8 of the total area of the sidewalk on the first day. On the second day, they paved 20 square meters of pavement. In both two days, they paved 50 square meters of sidewalks. Calculate the total area of the sidewalk. - Approximately 83408
The volume of the gasoline bottle is 15 liters. What is the weight of an entire bottle of petrol if the empty one weighs 1 kg? The density of gasoline is approximately 730 kg/m³. - Commission 83406
The purchase price of the material is 1000 CZK, and the margin is 35%. What will be the selling price? This is not a trademark or commission.
- Daughter 83402
The mother is 38 years old, and the daughter is 16 years old. When was the mother three times as old as her daughter (how many years ago)? - Capacity 83398
The hotel has 210 rooms, with 3 beds and 2 beds, and a capacity of 470 places. How much are 2 beds and 3 beds? - Determine 83377
A cork stopper with a volume of 15 cm³ weighs 3 g. Determine the density of the cork. - Distance
If Danka increases her walking speed by 1km/h, she will cover a distance greater than 20 km in 4 hours. If she decreases her speed by 1km/h, she will not cover more than 20 km in 5 hours. At what speed did Danka walk? (s=v. t;s- distance, v- speed, t- tim - Carpet area
How many meters of carpet 3 meters wide are needed to cover a square floor with a area of 36 square meters?
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