Small Miracles,Answered Prayer

i've long been in the habit of muttering small prayers to God. things like 'oh Lord ,please save the soul of that person ' (when i hear ambulance sirens); but, i've secretly wondered whether these kinds of quick said-in-my-head utterances are 'heard' by God. well ,something recently happened to stir my faith in this regard.
about a month ago a little piece of paper was stuck up in the foyer of my building. it was an appeal with two cell numbers for two women about a lost 4 week old kitten. i didn't think there was much hope for a lost kitten-especially in a busy road like the one i live in. anyway, i decided to program the numbers into my cell phone -muttering a little prayer to God: 'oh Lord, please protect the little lost kitten and get it safely back to it's owners'. but, even as i prayed it i didn't hold out much hope for the kitten.
last sunday -at around 10pm- i was at home listening to a Christian audiobook. i thought i heard the sound of a kitten mewing. i muted the hi-fi and went to my front door. i thought that my neighbour had perhaps again befriended a wandering neighbouring cat. i peered along the passage (through the bars of my security gate) and was astonished to see a kitten. i started calling it but thought it was probably feral and would run away.
to my surprise the kitten came running into my flat through the bars of the security gate. i picked it up and it was very tame-purring up a storm and running after me when i put it down to get up to grab my camera. i searched frantically through my phonebook wondering under what name i stored the advertised phone numbers. when i found the number i dialled it and the woman was driving along Musgrave road (not too far from where i live). she didn't think it could be one of her kittens but would come and collect it from me (she apparently belongs to an org that takes care of stray/unwanted cats). i was relieved. i mean i keep pet birds. what would i have done with a cat in a flat? also ,i'd dreaded the idea of handing a kitten over to the SPCA (those guys are overloaded as it is).
eish! imagine my surprise when it turned out that this woman lived across the road from me and it WAS one of her kittens! Does God answer even the smallest half-unbelieving types of prayers? i have to believe the answer is an unequivocal 'Yes'!