1. What is the greatest number of Mondays that can occur between January 1st and February 14th of any year?
2. An ant carries 1 crumb on the first day and 1 crumb on the second day. On the third day it carries 2 crumbs, on the fourth day it carries 3 crumbs. On day five it carries 5 crumbs and on day six it carries 8 crumbs. According to this sequence, how many crumbs will the ant carry on the seventh day? Write your answer as a numeral.
3. How many legs are there altogether on 2 spiders and 3 crickets?
4. Six female dogs have 4 puppies each. Half of these puppies are female and grow up to also have 4 puppies each. How many dogs are there in total?
5. At a local farm there are 20 animals altogether. The interesting thing is that there only chickens and donkeys. The farmer counts the legs and finds that there are 52 legs in total (not including his own). How many chickens are on the farm?
6. How many examples of the pattern on the left are contained in the net on the right?
The pattern can be rotated but not reflected.
(click to enlarge and download)
7. A farmer keeps only four types of animals. He has a total of 560 animals.
If he had ten sheep less, he would have twice as many sheep as he has cows.
If he had ten cows less he would have three cows for every pig, and he has two-and-one-half pigs to every horse.
a. How many pigs does he have?
b. How many horses does he have?
c. If he swaps 75% of his cows for seven sheep per cow, how many animals will he have in total?
8. In each of the four sets below, the numbers on the left have been turned into the numbers on the right by applying the same formula. A different formula applies from set to set.
In the example, each number on the left has been turned into the number on the right by multiplying by 2 then adding one. The answer (the number that replaces the question mark) is therefore
5 x 2 + 1 =11
9. Alice organised a reunion of her relations. She invited:
her mother
her mother’s sister-in-law
her sister
her sister’s mother-in-law
her mother-in-law’s sister
her sister-in-law’s mother
her next-door neighbour
Counting Alice, what is the fewest number of people that could attend the party if all invitations were accepted? No illegal relationships are permitted!
10. A wine merchant has six barrels containing respectively
300 litres
320 litres
360 litres
380 litres
400 litres
620 litres
Five barrels are filled with wine; one barrel is filled with beer.
The first customer purchases two barrels of wine.
The second customer purchases twice as much wine as the first customer.
Which barrel contains beer?
COLLECTED LOGIC & MATHS PUZZLES – 1
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very nice and interesting