Math practice for 13 year olds - page 75 of 414
Number of problems found: 8262
- Petr card piles
Peter divided 32 playing cards into two piles. He found that one pile had three times as many cards as the other. How many cards were in each pile? - Diameter of a drum
Winding drum length 180 mm, initial diameter 60 mm. Using a 6 mm rope with a length of 50 m, what will be the diameter of the wound drum with the rope? - Water pressure bottom
The hydrostatic pressure at the bottom of a cylindrical water container is 10 kPa. The bottom has an area of 0.25 m². How much pressure does the water exert on the bottom? - Map scale setting
2.5 cm on the map represents 6.25 km in reality. Set the scale of the map. - Cooker electrical work
A cooker connected to a 40 V voltage source draws a current of 0.5 A. Determine the amount of electrical work the cooker does in 3 minutes. - Pupils - class
There are 28 pupils in the class. The ratio of boys to girls is 3:5. Find the number of girls. - Hop picker hiring
Eight hop pickers harvest in 24 days. How many more pickers must be hired if the hops need to be harvested in 16 days? - Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Pavel Petra age
The sisters Paul and Patricia are 29 years old together. Paula is 3 years younger than Patricia. HOW old is Pavle? Thank you very much. - Car rental tariff
Mr. Rezek wants to rent an Opel Corsa car for one day. He can choose from two rental tariffs: Tariff 1: Daily flat rate of CZK 1,400. Tariff 2: Daily rental 360 CZK plus 4.50 CZK for each kilometer driven. For what number of kilometers driven is it more f - Basement pump water
After the flood, the Nováks would pump water out of the basement with one pump in 120 minutes, the second in 300 minutes, and the third in 600 minutes. How many minutes will it take them to pump the water out of the basement if they use all the pumps at o - Dice sum probability
What is the probability that a roll of three dice will result in a number less than 7? - PIN even probability
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Dimensions - crate
A wooden crate with dimensions d=3 m, e=4 m, and f=3 m was placed in a transport container with dimensions a=10 m, b=4 m, and c=3 m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in th - Map scale centimeters Eight centimeters on the map represent two kilometers in reality. Determine the scale of this map.
- Stream cleaning days
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Sale of eggs
Mrs. Slepičková sells at the marketplace home eggs in small boxes of 6 pieces and in large boxes of 10 pieces. Over the weekend she sold three times more small boxes than large ones, and at a price of 5 Kč per egg she took in 1680 Kč. For the boxes no pay - Apartment cleaning together
A woman cleans an apartment in 8 hours and a man in 10 hours. How many hours will they clean together? - Grandma 12
Tobias wanted to buy a five-part book series about hockey. Each book in the series costs the same amount. He had only 80% of the price for the first and second volumes. Grandma paid the remaining amount for the first two volumes and 60% of the price for t - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7
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