2025_Team_Competition_Solutions_Grades_5-6-2025 Team Competition Solutions Grades 5-6

2025 Team Competition Solutions Grades 5-6

Pdf Summary

This document is a solution guide for the 2025 Math Kangaroo USA Grades 5–6 Team Competition. It lists answers and brief explanations for all 30 problems, split into multiple choice and short answer sections.<br /><br />The multiple-choice problems cover a wide range of elementary math topics: motion and collision, measuring lengths, paper folding and symmetry, cube adjacency, path crossing on a grid, ordering by place value, nets of cubes, balance scales, logical truth/lie puzzles, cube coloring, counting socks via algebra, paper cutting and polygon vertices, book-eating timing, maze/path tracing on a multi-floor map, number placement in a grid, partitioning and counting areas, Sudoku-style elimination, reversing paper cuts, and combinatorial reasoning.<br /><br />The short-answer problems include:<br />- Counting digits in a repeated number-writing pattern.<br />- Finding the visible gray area in overlapping shapes.<br />- Solving a chain of box equations involving multiplication/division.<br />- Using common factors and products to determine corner numbers in a circle diagram.<br />- Counting arrangements of animals with adjacency restrictions.<br />- Determining card colors after repeated flips.<br />- Solving a number-sum puzzle involving opposite faces.<br />- Decoding a multiplication cryptogram.<br />- Finding the perimeter of an overlapping-square figure.<br />- Counting how many students speak Vietnamese from totals of English and French speakers.<br /><br />Several solutions use standard strategies such as:<br />- Trial and error with constraints.<br />- Elimination by checking answer choices.<br />- Algebraic substitution.<br />- Symmetry and geometric reasoning.<br />- Counting with combinations and inclusion-exclusion.<br />- Logic tables for truth/lie statements.<br /><br />Overall, the document is a compact answer key with solution sketches rather than full worked proofs, designed to show the main idea behind each correct answer.

Keywords

Math Kangaroo

Grade 5-6

team competition

solution guide

multiple-choice

short answer

elementary math

geometry

combinatorics

logic puzzles