Reason - practice problems - page 4 of 109
Number of problems found: 2168
- Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer. How long are her wands? - Equality of Moments
A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance. - Trainers 3
Trainers start in six steps, eight steps, nine steps, and ten steps. Each time they have one trainee left. How many trainees were there? - Boxes
Boxes in the shape of a cuboid/without a lid/we decided to paint all sides/both inside and outside. The dimensions of the bottom are 60 cm X 30 cm and the height is 12 cm. How many cans of paint will be needed to paint 10 such boxes if one can last for pa - RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees? - Large 2
The large wheel has 72 teeth, the smaller wheel has 56 teeth, and the small wheel has 27 teeth. How many revolutions will the smallest wheel make when the largest wheel turns 120 times? - Storm 4
Approximately 4000 trees grow on 1 hectare of forest. During the storm of 20.11.2004, 95% of the trees on 100km² of the forest cover of the High Tatras were destroyed. How many trees were destroyed? - Into the bottle
The bottle can hold water weighing no more than 1 kg. Can you pour gasoline weighing the same amount into this bottle? - Three dice 2
What is the probability that two odd numbers will be the same when three dice are rolled? - Matej 2
Matej, Marko, Milan, and Matúš had a total of 205 football player cards with signatures. Marko has four times more than Matej. Matúš had two times less than Marko. Milan had 20 cards less than Matúš. How many cards did each have? - In the domestic
In the domestic express train, there are 1st and 2nd class carriages. There are 2x more 2nd class carriages than 1st class. There are 10 compartments in each carriage. In 1st class, each compartment has 6 seats, and in 2nd class carriages, there are eight - How many 172
How many five-digit numbers are there that have exactly 2 fours and exactly 3 sevens in their notation? - Bathroom 3
The bathroom measures 300x210 cm. What are the largest square tiles and how many will I need to cover the floor? - Relay
The relay race will be run for the class of Katka, Alice, Michaela, and Erika. Determine how many different orders there are in which the girls can run, as long as each of them can run in any position. - Competitor 2
In the race, 1 twelfth of the competitors finished ahead of me and 7 eighths of the competitors finished behind me. How many of us ran? - Ice rink
A rectangular rink measuring 15m and 20m long needs to be covered with a layer of ice 4.5cm high. How many liters of water are needed to create ice? - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Equation - integers
Solve the equation with the unknown x from the field of natural numbers 1+6+11+16+. ... +x=970 - How much 17 How many euros more will Mrs. Eva have if she increases her savings of €2,400 in the ratio 7 : 5?
- Sweets
There are 12 sandwiches on a plate, 5 of which are poppy seeds and 7 are jam. How many cheese sandwiches must be added to them so that the probability that a randomly selected sandwich is poppy seed is 20%?
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