Here's this week's collection. Answers & extensions tomorrow. Why not discuss the problems on Twitter using #SundayAfternoonMaths or on Reddit. This Tuesday is Maths Jam, make sure you're there!

#### Mean, Mode, Median, Range

**A**Find five one-digit positive integers which have a mean of 4, mode of 6, median of 4 and a range of 5.

**B**Find five one-digit positive integers which have a mean of 3, mode of 1, median of 1 and a range of 8.

**C**Find five one-digit positive integers which have a mean of 3, mode of 2, median of 2 and a range of 5.

#### Times Roamin’

What is the product of this series?

$$(x-a)(x-b)(x-c)...(x-z)$$
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