2026_Questions_Grades 11-12-2026 Questions 11-12

2026 Questions 11-12

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This document is the <strong>Math Kangaroo USA 2026</strong> contest for <strong>Grades 11 and 12</strong>, held on <strong>Thursday, March 19, 2026</strong>. It is a <strong>75-minute, no-calculator, multiple-choice mathematics competition</strong> organized by <strong>Kangourou Sans Frontieres / Math Kangaroo USA</strong>.

The test contains <strong>30 problems</strong> divided into three sections:
- <strong>Problems 1–10</strong>: 3 points each
- <strong>Problems 11–20</strong>: 4 points each
- <strong>Problems 21–30</strong>: 5 points each

The problems cover a wide range of topics, including:
- <strong>Geometry</strong>: triangles, polygons, circles, squares, prisms, pyramids, and area relationships
- <strong>Algebra and number theory</strong>: divisibility, digit sums, equations, sequences, and integer expressions
- <strong>Probability and counting</strong>: dice outcomes, path counting, arrangements, and combinatorics
- <strong>Logic and pattern recognition</strong>: folding paper, shaded regions, transformations, and recursive structures

Many questions are visually based and rely on diagrams, including path networks, folding strips, geometric figures, grids, and 3D shapes. Several problems ask for the <strong>largest/smallest possible value</strong>, <strong>number of ways</strong>, or <strong>probability</strong> of an event.

The later problems are generally more advanced, including:
- operations on numbers with changing rules,
- functional equations,
- geometric counting in a cube,
- coloring a board via repeated 2×2 flips,
- and a triangular root expression.

Overall, the document is a standard Math Kangaroo exam designed to test creative mathematical reasoning rather than routine calculation.

Keywords

Math Kangaroo USA 2026

Grades 11 and 12

mathematics competition

multiple-choice

no-calculator

geometry

algebra

number theory

probability and counting

combinatorics