Math practice for 13 year olds - page 375 of 423
Number of problems found: 8444
- Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400?
- Bathroom
How much CZK do we pay for lining the perimeter walls of the bathroom with rectangular shapes with dimensions of 3.5 m and 4 m, high 1.5 m if 1 square m tile costs 300 CZK?
- Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- Cube 7
Calculate the volume of a cube whose sum of the lengths of all edges is 276 cm.
- Circular pool
The pool's base is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length of 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
- Pupils
Four pupils are going via the dark hall. Start at one side and have to get to the other side for 17 minutes. They have only one lamp for the trip. The corridor is narrow. They can go up two pupils at a time and at a slower speed. Each pupil went different
- Beta's number
Beta thought of a natural number with different digits and wrote it on the board. Below wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number with the same number of digits as the inten
- Daughters
The man conducting the census asks a woman the age of her three daughters. The woman says when multiplying the age, get the number 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. S
- Map scale
The garden's plan shows a scale of 1:150, a width of 22 cm, and a length of 35 cm. What is its real area?
- Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m?
- Sales off 2
The computer monitor sold for 8400 CZK in March. In April, the dealer price decreased by 798 CZK. Calculate the percentage by which the retailer reduced the price.
- 3sides prism
The base of a vertical prism is an isosceles triangle whose base is 10 cm, and the arm is 13 cm long. The prism height is three times the height of the base triangle. Calculate the surface area of the prism.
- Tank 9
The tank with volume V is filled with one pump for three hours and by the second pump for 5 hours. When both pumps run simultaneously, calculate: a) how much of the total volume of the tank is filled in one hour b) for how long is the tank full
- Classs mean
The class size is 30 students. Math was not worse than mark 2. Find the number of pupils who were marked one if the class had a 1.4 average mark.
- Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC.
- Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar?
- 12 Moons
Good Marry came to ask the twelve Moons for strawberries. All twelve Moons would have picked 1200 strawberries in 20 minutes. However, in 5 minutes the lazy holiday Moons - July and August stopped picking. How many minutes in total will it take collect st
- Two numbers
Determine the numbers x and y, so x + y = 8 is true, and the numbers are in the ratio of 4:5.
- Concentration
We try 0.5 liters of 8% vinegar dilute to a concentration of 20 hundredths % of vinegar. How many liters of water must we add?
- Brackets
Place one pair of brackets in the expression 20-16 + 10 - 4 - 2 so that the result will be 0.
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