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Yes, "head start" is a compound noun. It is formed by combining two words, "head" and "start," to create a new meaning that refers to an advantage or early beginning in a competition or activity. Compound nouns can be written as separate words, hyphenated, or combined into a single word, and "head start" is an example of the first type.
headbandheadachetowheadbeheadgodheadheadlockheadlineheadmasterdeadheadwarheadairheadbedheadheadcountheadnotehotheadheadlinerblockheadblackheadhammerheadbullheadredheadforeheadmastheadwellheadheadsetboneheadwhiteheadpinheadheadlightheadphonesheadcaseheadpinheadlongheadstrongheadmanaxeheadarrowheadheadbangerheadboardheadcheeseheadbuttheadgearheadwaitersheadwordheadstonebeachheadfigureheadheadrestheadcaseheadmistresscrackheadbulkheadheadstockheadscarfheadstallheadpieceheadwayheadshipheadlongheadroomknuckleheadfathead
Compound words that start with "head" include "headache," which refers to pain in the head, and "headlight," which is a light at the front of a vehicle. Another example is "headquarters," indicating the main office or center of operations for an organization. These words combine "head" with other terms to create new meanings.
blackheadblockheadheadacheheadbandheaddressheadlandheadlightheadlineheadlockheadmasterheadsetheadstoneheadstockheadstandheadwaiterpinheadwhitehead
head teacher school head
The examples provided are not compound words.
blackheadblockheadbulkheadheadbandheadgearheadlightheadlineheadphoneswhitehead
Yes, masthead is a compound word, as both "mast" and "head" are words.
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headbandheadachetowheadbeheadgodheadheadlockheadlineheadmasterdeadheadwarheadairheadbedheadheadcountheadnotehotheadheadlinerblockheadblackheadhammerheadbullheadredheadforeheadmastheadwellheadheadsetboneheadwhiteheadpinheadheadlightforeheadheadphonesheadcaseheadstrongheadpinheadlongheadstrongheadmanaxeheadarrowheadheadbangerheadboardheadcheeseheadbuttheadgearheadwaitersheadwordheadstonebeachheadfigureheadheadrestheadcaseheadmistresscrackheadbulkheadheadstockheadscarfheadstallheadpieceheadwayheadshipheadlongheadroomknuckleheadheadlightfatheadblockheadblackheadwhiteheadheadlong
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headlong, headcount, headstrong