2025_Team_Competition_Questions_Grades_7-8-2025 Team Competition Questions Grades 7-8

2025 Team Competition Questions Grades 7-8

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This document is the <strong>Math Kangaroo USA Team Competition 2025</strong> for <strong>Grades 7 and 8</strong>. It is a confidential contest meant to remain private until <strong>December 8, 2025</strong>. The test includes <strong>30 problems total</strong>: <strong>20 multiple-choice questions</strong> and <strong>10 short-answer questions</strong>, to be completed in <strong>60 minutes</strong>.

The questions cover a wide range of middle-school math topics, including:

- <strong>Geometry</strong>: perimeter, area, circles, rectangles, parallelograms, pentagons, hexagons, cubes, and shaded regions.
- <strong>Number theory and arithmetic</strong>: digit puzzles, divisibility, averages, ratios, percentages, products of integers, and calculator key sequences.
- <strong>Algebra and equations</strong>: expressions involving variables, comparing fractions, and maximizing values with parentheses.
- <strong>Combinatorics and logic</strong>: counting digit assignments, grid-sum constraints, and determining possible arrangements.
- <strong>Word problems</strong>: chess-game winnings, money amounts, population changes, fruit ratios, and train speed adjustments.

Several problems involve <strong>visual diagrams or grids</strong> that are essential to solving them, such as overlapping rectangles, a 4×3 number grid, a square divided into parts, and polygon angle diagrams. The short-answer section continues with more advanced problems involving divisibility, nested rectangle sums, geometry, factorization of ages, packaging combinations, and iterative number processes.

Overall, the document is a <strong>contest-style mathematics exam</strong> designed to test problem-solving, reasoning, and creative thinking rather than routine calculation.

Keywords

Math Kangaroo

USA Team Competition

Grade 7

Grade 8

contest mathematics

geometry

number theory

algebra

combinatorics

word problems