Math practice for 13 year olds - page 355 of 423
Number of problems found: 8460
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- Webshop 3027
The webshop reduced the price of the suit by p percent. What was the new cost of the suit?
- Kilogram - unit price
One kilogram of raisins costs a crown, and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost?
- Granddaughter 3022
Grandpa was pulling beets. The balance of forces of the participants was as follows: Grandfather : grandmother : granddaughter : dog : cat : mouse = 8:5:3:2.5:2:0.2. How many grandfathers would it take to pull out the beets? How many mice would be needed?
- Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone.
- Increased 3018
After an increase of 40%, the notebook cost 10.50 euros. How many euros would this notebook cost if it increased in price by only 30% instead of 40%?
- Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s
- Calculate 3016
Calculate the height of the cylinder based on its surface S and the radius of the base r. a) r = 2 cm, S = 120 cm square b) r = 7 dm, S = 4,000 dm square c) r = 0.2 m, S = 20 square meters
- Measuring 3014
How much does a gold bar measuring 5cm, 10cm and 3cm, and 1 cm³ gold weigh 19.3 g?
- Determine 3013
An unknown number increased by 300% equals 62. Determine an unknown number.
- Conva
How many liters of water fit into the shape of a cylinder with a bottom diameter of 20 cm and a height of 45 cm?
- Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter.
- Cylinder-shaped 3009
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters?
- Excavate 3008
The well will have a diameter of 2 m and a depth of 7 m. How many cubic meters of soil are needed to excavate a well?
- Insulation
Two workers insulate the house for five days. After the first day of working together, only one worker continue to cover the house. How many days will the house be insulated if every worker has the same work tempo?
- Solve
Solve this direct relation by the triplet: 0.25h. .. . . .. .. . . .. .. .. 3 pcs 6.5h. .. . . .. .. . . .. .. . . .. .. x pcs
- Car
The car drove some distance in 3 hours and 20 minutes. If it increases speed by 10 km/h, it goes this distance in 2.5 hours. Calculate the distance.
- Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8
- Percentage - fractions
About what percentage must we increase the number 1/6 to get the number 1/3?
- Class
In the 7C class, there are ten girls and 20 boys. Yesterday was missing 20% of girls and 50% of boys. What percentage of students are missing?
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