Grades 7-8: Cadet

315 competition problems with step-by-step solutions.
Number theory, algebra, geometry, combinatorics, logic.

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Grades 7-8 Practice Material →

Number Theory

Digit manipulation Divisibility rules GCD & LCM Modular arithmetic Perfect squares & numbers

Algebra

Equations from word problems Algebraic identities Functional equations Nested radicals

Geometry

Triangle inequality Angle calculations Circle theorems Area calculations Inscribed shapes

Combinatorics

Permutations Derangements Path counting Inclusion-exclusion

Sequences & Series

Number patterns Triangular numbers Fibonacci & tiling Telescoping sums

Logic & Games

Truth & lies Weighing problems Game theory & Nim Parity arguments

Word Problems

Work rates Speed & distance Age problems Percentage change

Classic Problems

Clock hands Chicken & rabbit Frobenius coin Pigeonhole principle

Practice Papers

3 full-length papers · 315 problems · Detailed solutions

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