300g DK yarn, 6.50 mm hook and tapestry needle (for sewing in ends).
The instructions given are for an adults size hat and scarf. You can omit some of the increasing rows on the hat and reduce the starting chain on the scarf for a child size. If altering the size in any way, make sure that the total number of dcís are divisible by 3 for the pattern round (15 on hat and 5 on scarf) to work.
Using a 6.50 mm hook and DK used double, 11 sts and 13 rows to 10 cm (4 in).