Number theory

Inequality, sum, largest product, proof, C1.

[STEP III 1996 Question 4 (Pure)]

Proper factor, prime factorisation, C1.

[STEP II 1996 Question 6 (Pure)]

Divisibility, factorisation, modulo arithmetic, C1.

[STEP I 1996 Question 3 (Pure)]

Digits, C1.

[STEP II 1994 Question 1 (Pure)]

Odd squares, remainder, even squares, expressable as a sum of three squares, divisibility.

[STEP III Specimen Question 10 (Pure)]