Reason - practice for 13 year olds - page 12 of 41
Number of problems found: 810
- Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Calculate 19543
Calculate the surface of a prism with a square base whose mantle is a rectangle with sides of 18cm and 8cm. How many solutions does the task have? List all solutions. - Outermost 19403
Twenty young saplings are planted in a row at a distance of 4.5 meters from each other. There is a well by one of the outermost trees. How many meters do we walk when watering trees if we use two watering cans and one is enough to water two trees? - Cardboard box
Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side
- 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 - Double-digit 17103
How many double-digit numbers can we create from the digits 1, 2, 3, 4, 5, and 6 if we can repeat the digits in the number? - Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma - Theoretically 15883
Pictured is a pie chart showing how the four mayoral candidates are doing after 80% of the vote has been counted. A candidate ID no can theoretically obtain the maximum percentage of votes. 3 after counting all the votes? - Magnitude of angle
What magnitude has an obtuse angle enclosed by the hands of clocks at 12:20 hours?
- Return 15193
Fiona sets off from the tower after Shrek at 9:10 at a speed of 6 km/h. Shrek starts to meet her from the swamp at 9:50 at a speed of 4 km/h. At 10:50, they meet and return back to the swamp at a speed of 4 km/h. What time does he arrive at the swamp? - Calculate 14733
Square has the side a = 12 cm. Calculate the area of a triangle in the square. - Harvesters 14703
Five combine harvesters shit in 12 days. How long does a 2-fold larger field of combine harvesters take? - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only
- Twenty-five
How many are three-digit natural numbers divisible by 25? - Mysterious area
The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm². - Intelligence test
Paľo, Jano, Karol, and Rišo were doing an intelligence test. Palo correctly answered half of the questions plus seven questions, Jano to a third plus 18 questions, Karol to a quarter plus 21 questions, and Risho to a fifth plus 25 questions. After the tes - Five-digit 13361
Write the 12 largest five-digit numbers in the twelve-position system and the 12 smallest six-digit numbers. - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have?
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