IB Math RevisionJunior competition-style problems (ages 11 to 13)
165 problems in the age band of the UKMT Junior Mathematical Challenge and the MAA AMC 8. Short problems that need careful thinking rather than advanced content: counting, digits, angles, simple equations and logic puzzles. Every problem is original — written by us, not taken from a real paper — with two hints, a full solution, a note on why the method works and where the idea leads.
All 165 are free, with full solutions.
Answer a problem to track what you have solved.
Choose a topic
Number theory
Divisibility, primes, remainders and digits.
All free, with solutions
28 problems →Combinatorics
Counting arrangements, paths, subsets and tilings.
All free, with solutions
28 problems →Geometry
Angles, areas, circles, lattice points and solids.
All free, with solutions
28 problems →Algebra
Equations, sequences, functions and inequalities.
All free, with solutions
28 problems →Probability
Dice, cards, areas and expected values.
All free, with solutions
26 problems →Logic
Truth-tellers, calendars, games and reasoning puzzles.
All free, with solutions
27 problems →Stuck? Learn a strategy
Each problem is tagged with the strategy that cracks it. The problem-solving strategy guides explain ten of them with worked examples: organised cases, count the opposite, working backwards, invariants, extremal principle and more.
Intermediate problems (ages 13 to 16) · Senior problems (ages 16 to 18) · Olympiad-style problems (ages 15 to 18) · Where next after these? · Competitions, past papers and problem of the week