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SASMO 2021 Grade 5 Question 17

SASMO · SASMO 2021 Grade 5

Question 17

An “interesting” number is a four-digit whole number whose first two digits, read as a two-digit number, equal the product of its tens and ones digits. For example, 1535 is interesting because $3\times5=15$, but 6623 is not because $2\times3=6$, not 66. What is the difference between the largest and smallest interesting numbers?

Answer entry: enter the whole number only, without units. The paper uses four shaded digits with leading zeros; ordinary integer entry is accepted here.