Fun
Also Fun
Logic Much
100
The diagram shows a solid made by gluing four 1cm x 1mc x 1cm cubes together. What is the total surface area of the solid?
20cm2
100
The Kings of Clubs, Diamonds, Hearts and Spades, and their respective Queens, are having an arm wrestling competition. Everyone must wrestle everyone else, except that no King will wrestle his own Queen. How many wrestling bouts are there?
24
200
The pattern 123451234512345…. Is continued to form a 2000 digit number. What is the sum of all 2000 digits?
6000
200
An exam is made by taking 5 large sheets of paper, folding the pile in half and stapling it on the crease. The pages are then numbered in order from 1 to 20. What is the sun of the three page numbers that are on the same sheet of paper as page number 5?
37
200
Red
300
Sophie has to choose seven different positive whole numbers whose mean is 7. What is the largest possible number that she could choose as one of the seven numbers?
28
300
The two digits of Alberta’s age are interchanged, and then 1 is added to the result. The answer is half of Alberta’s present age. How old is Alberta?
52
300
A magical island is inhabited entirely by knights (who always tell the truth) and knaves (who always tell lies).
One day 25 of the islanders were standing in a queue.
The first person in the queue said that everybody behind was a knave.
Each of the others in the queue said that the person immediately in front of them in the queue was a knave.
How many knights were there in the queue?
12
400
One year, there were exactly four Tuesdays and exactly four Fridays in October. On what day of the week did Halloween fall that year?
Monday
400
Albert Einstein was standing on the station platform thinking about relativity when he noticed that he could see two station clocks. Each clock was digital, showing only hours and minutes.
He observed that the display on one clock changed to the next minute 10 seconds before the correct time, whereas the display on the other clock changed to the next minute 10 seconds after the correct time.
For what fraction of the day did the clocks show the same time?
2/3
500
In how many different ways can a row of five “on/off” switches be set so that no two adjacent switches are in the “off” position?
13
500
An integer contains only the digits 3 and 4, with at least one of each. The integer is divisible by both 3 and 4. What is the smallest such integer
3444