Reason - practice for 13 year olds - page 22 of 41
Number of problems found: 811
- Unknown numbers
The sum of two consecutive natural numbers and their triple is 92. Find these numbers. - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob - Horizontally 5480
Let's have a 4x6 grid, i.e., with 5x7 grid points. Can each grid point be colored white or blue so that each point has an even number of white neighbors? At the same time, those points that are connected by one line of the grid are considered to be neighb - Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7?
- Occupies 5461
What is the land area in reality if 1 cm² occupies on a 1:20000 scale map? - Tracksuit 5460
The tracksuit became cheaper by 15% later on sale and later by 10%. How many euros did Janka save if she bought this set after the second discount and paid € 45.9? - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Remainder
A is an arbitrary integer that gives remainder 1 in the division with 6. B is a random integer that provides the remainder with division by two. What makes remainder in a division by three products of numbers A x B? - Intersection 5413
In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK.
- Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Different 5402
Adélka had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - MO8-Z8-I-5 2017
Identical rectangles ABCD and EFGH are positioned such that their sides are parallel to the same. The points I, J, K, L, M, and N are the intersections of the extended sides, as shown. The area of the BNHM rectangle is 12 cm2, the rectangle MBC - Remaining 5367
Zuzana read a 250-page book. On the first day, she read 20% of the book. On the second day, half of the remaining pages. How many pages of the book has it unread? - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m
- Participants 5319
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Minutes 5310
They had three tower clocks in the city. Some went right, the others were 10 minutes ahead of the day, and the thirds were 12 minutes late each day. One day they struck all the clocks at noon at once. How long will it be like this again? - Dealer 5295
The dealer sells a TV for 750 euros. If he sells it, he must pay 20% VAT to the state. How many euros will he pay for the sale of one TV? - VAT on books
The cost of a book in the store is 12.5 euros. How many euros is the VAT of this book? VAT is 10%.
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