I haven't seen a lot of modern Mardu burn lists, so I decided to put one together. The card choice is pretty basic, but I'll still go over them for you. Feel free to make any suggestions. I don't have a side-board right now, so it'd be great if someone could suggest one.
-CREATURES-
4x Goblin Guide- Obviously the best creature for burn. Auto-include.
4x Monastery Swiftspear- Though not quite as good as Goblin Guide, it can still get just as big if not bigger than Guide. I'd say it's an auto-include.
4x Eidolon of the Great Revel- Very good in modern, as almost all of the popular decks in modern use cards with CMC 3 or under. Though some lists have less than four, I think the full playset is warranted in order to draw them often.
2x Grim Lavamancer- He's great late game, however he's pretty bad in multitude. I can take him or leave him, but I think two is good for this list.
-SPELLS-
Red Spells
4x Lightning Bolt- Duh
4x Lava Spike- Bolt 5-8, Auto-include.
4x Rift Bolt- Bolt 9-12, Auto-include
2x Skullcrack- Lifegain is a huge issue for this deck and Skullcrack helps beat it pretty efficently, and I think I would run more if I had more space, but had to cut the extra two for some other cards.
2x Searing Blaze- The best removal in this deck. Debating on running 4 or not, but the think this deck needs the extra two slots.
White Spells
4x Boros Charm- incredible value for just one card. If you're running white, this is an auto-include.
2x Lightning Helix- Still kind of debating on running this card, but I think that there's enough value here to warrant the 2-of.
Black Spells
4x
Bump in the Night
- Lightning Bolt 13-16. I think that splashing an entire color is worth it for the redundancy of Bolt, auto-include if you're playing black.
-LANDS-
8x Mountain- Choose your arts wisely
4x Bloodstained Mire- Fetchlands to help you get you're necessary colors
4x Wooded Foothills- Bloodstained Mire 5-8
2x Sacred Foundry- I think that you only really need two of each shockland in order to fix your colors correctly, since you have eight fetches.
2x Blood Crypt- Fixes your black mana. See above for details.