Matematike Zadaniia: Metashkola Olimpiada Po

A three-digit number is divisible by 9. If you swap the first and last digits, the new number is also divisible by 9. How many such numbers exist where the middle digit is 5? Part 3: Geometry & Spatial Thinking (15 points each)

Find the smallest natural number whose digits sum to 25 and which consists only of different digits. Sequence Logic: Look at the sequence: metashkola olimpiada po matematike zadaniia

Below is a draft of a sample paper structured similarly to a mid-level MetaShkola competition (suitable for grades 5–7). Time Allowed: 60 minutes Total Points: 100 Part 1: Logical Reasoning (5 points each) A three-digit number is divisible by 9

A farmer needs to transport a wolf, a goat, and a cabbage across a river in a boat that can only hold himself and one other item. If left alone, the wolf eats the goat, and the goat eats the cabbage. How many trips across the river are required to get everyone safely to the other side? Part 3: Geometry & Spatial Thinking (15 points

A rectangle is divided into three identical smaller rectangles, each with a perimeter of 20 cm. What is the perimeter of the original large rectangle?.