Hi
It is called a phillips head screwdriver and a slotted head screwdriver. Am I right?
Thank you in advance.[Image]

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I always say a star and a flat screwdriver but Phillips is correct. Not 100% sure if the other one is correct or not but it sounds right. 😅

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Yes. Flat head (or slotted head) screwdriver and a phillips screwdriver

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"Phillips" is an American term, therefore other countries often use the generic term "crosshead". Also, this type are often mistaken for the very similar "posidrive" head.

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In the States we say a standard screwdriver and a phillips screwdriver.  A star tipped driver usually has 5 or 6 tips on the blade. Pretty easy to search on the internet.