Reason - practice for 13 year olds - page 22 of 42
Number of problems found: 832
- Isosceles from square
How many isosceles triangles form in a square when we mark all diagonals? - Disassembled 5815
The children disassembled 48 bananas on the trip. Some children took 1 banana each, 6 children took 2 bananas each, and last, Anina was the only one who did not take even 1 banana. How many children were on the trip? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
- Highway tunnel
The company built the highway tunnel from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" rasters. After 55 business days, both parties me - Centimeters 5681
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - Average 5665
At 10:00 AM, two cars drove against each other from places 240km away. One was driving at an average speed of 70km/h. What was the speed of the other when they met at 11:30? - Double-digit 5631
Write how many double-digit numbers there are, which, if we multiply by four, we get the result ending in two zeros. - Train delay
The train should be at the station for 10 minutes. It still has 32 km left. What is the expected delay if the train travels in 2 minutes 3 km except for the last section 2 km in 5 minutes?
- Possibilities 5590
The line represents the number axis, and the marked points correspond to the numbers a, - a, and + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities. - Something 5588
Honza receives pocket money and wants to buy something good with it. If he purchased four cakes, he would have CZK 5 left. If he wanted to buy five cakes, he would be 6 CZK short. If he had bought two pies and three doughnuts, he would have spent all his - Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - Gardeners 5542
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it? - Three-digit 5524
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove
- 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?
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Reason - math word problems. Maths practice for 13 year olds.