Reasoning - practice problems - page 4 of 31
Number of problems found: 613
- Beekeeper 2
A beekeeper has more than 190 kg and less than 200 kg of honey. If he divides it into 8 kg jars, 3 kg remain. If he divides it into 7 kg jars, how many kg remain? How many kg of honey does he have? - MDZ - theater
There are 798 men, women, and children in a theatre. The number of men is twice the number of women. The number of women is twice the number of children. How many men, women, and children are there? - Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height drawn to side AB is 4 cm. Point P is the foot of the altitude from A to side AD. Calculate the area of triangle ABP. - 9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total (of all sizes)? - Footballers 2
Footballers have jerseys numbered 7, 8, 9, 10, and 11. The coach wants to send them to attack: a) so that no two even-numbered jerseys are adjacent, b) so that no two odd-numbered jerseys are adjacent. How many options does he have in each case? - Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How far can it protrude over the edge of the table without falling if a weight of 0.2 kg is placed at its overhanging end? - Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must first solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer than the other. How long are the wands? - Equality of Moments A lever with a mass of 3 kg and a length of 2 m has weights of 5 kg and 8 kg attached at its two ends. Find the point where the lever must be supported so that it is in balance.
- Trainers 3
Groups of trainees are arranged in rows of six, eight, nine, and ten. Each time there is one trainee left over. How many trainees were there? - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - RRL Basics
What is the length of the smaller base and the height of an isosceles trapezoid if a = 9 dm, the leg is 6 dm, and angle ACB = 90°? - Large 2
A large gear has 72 teeth, a medium gear has 56 teeth, and a small gear has 27 teeth. How many revolutions will the smallest gear make when the largest gear turns 120 times? - Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed? - Into the bottle
A bottle can hold water weighing no more than 1 kg. Can the same bottle hold gasoline of the same mass? - Three dice 2
What is the probability that exactly two of the three dice show the same odd number when three dice are rolled? - Matej 2
Matthew, Mark, Miles, and Matt had a total of 205 football player cards with signatures. Mark has four times more than Matthew. Matt had twice less than Mark. Miles had 20 fewer cards than Matthew. How many cards did each of them have? - In the domestic
In a domestic express train, there are 1st and 2nd class carriages. There are twice as many 2nd class carriages as 1st class carriages. Each carriage has 10 compartments. Each 1st class compartment has 6 seats, and each 2nd class compartment has 8 seats. - How many 172
How many five-digit numbers contain exactly 2 fours and exactly 3 sevens in their decimal notation? - Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - Relay
A relay race will be run by the class team of Kate, Alice, Michaela, and Erica. Determine how many different running orders are possible, given that each of them can run in any position.
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