The two clues in both questions are shown in the pictures provided, although a scan of the pages are not available in this blog post.
To win Wooden Railway models of Captain's Shed, Ol' Wheezy the Slinging Crane, Den, Dart, Belle, and Flynn, you need to answer this question;
What is the name of the big blue engine on this page?
To enter you need to send your answer, name and address to; Thomas & Friends 623, Tomy Wooden Railway Competition, PO Box 51, Erith, DA8 1WD.
To win a chunky Thomas at Tidmouth Sheds playset from Fisher Price, you need to answer the following question;
What is the name of the helicopter?
To enter you need to send your answer, name and address to: Thomas & Friends 623, Playset Competition, PO Box 51, Erith, DA8 1WD.
Both competitions close on October 7th 2011, a week and a half after the special's DVD goes on sale.
The competitions can be found in Issue 623 of the Thomas & Friends magazine which is now available in UK stores now until September 28th.
Thanks to SteamTeam for the alert.