Published onJuly 3, 2026Contradiction with a + b <= 5hsc-mathsproofsmediumA medium difficulty HSC math problem on contradiction with a + b <= 5 with full step-by-step solutions.
Published onJuly 3, 2026Cubic Sums Bound a Quartic Termhsc-mathsproofsmediumA medium difficulty HSC math problem on cubic sums bound a quartic term with full step-by-step solutions.
Published onJuly 3, 2026Difference of Squares Cannot Equal 1hsc-mathsproofsmediumA medium difficulty HSC math problem on difference of squares cannot equal 1 with full step-by-step solutions.
Published onJuly 3, 2026Divisibility by 9 via Digit Sumhsc-mathsextension-2proofsnumber-theorymediumA direct biconditional proof demonstrating that a three-digit number is divisible by 9 if and only if the sum of its digits is divisible by 9.
Published onJuly 3, 2026Divisibility by 9 via Digit Sumhsc-mathsproofsmediumA medium difficulty HSC math problem on divisibility by 9 via digit sum with full step-by-step solutions.