1)  Pipes

     Does a 2-inch pipe fill a tank of water at the same speed, less quickly, or more quickly              than two 1-inch pipes?

 

2)  Roman Numerals

     What number expressed in Roman Numerals will the letters V I X make when looked                at in a mirror?

 

3)  Bookworm

     Two volumes of a thousand pages each are arranged properly in a bookcase. Each                    volume is 2 inches thick, including the covers, each of which is one-eighth of an inch                thick. If a bookworm eats his way from page 1, volume 1, to page 1000, volume 2,                      what distance does he travel?

 

4)  Height

     A is 5 inches taller than B. C is 5 inches shorter than A. What is C’s height in relation to B’s?

 

5)  Follow-the-Leader

     There were a group of boys on bicycles playing follow-the-leader. There were 4 boys in          front of a boy, 4 boys behind a boy and a boy in the middle. How many boys were there            altogether?

 

6)  Area = Perimeter

     Can you find a square and a rectangle that have perimeters equal to their areas?

     (perimeter is the total distance around the edge, area = length x width )

 

7)  Boys and Girls

     A class of school children go on a field trip and sit in groups of 4 so that every girl sits next      to at least one other girl. How many permutations are possible?

 

8)  Sequences

     Can you find the next number in this sequence? 

     1      1      2      3      5      8      13     21    ___

 

9)  Percentage

     Which percentage is closest in value to 1/3?

     30%              33%            33.3%              33.4% 

 

10) Which would you prefer?

      £5 per day for 20 days 

      or

      1p on day 1 + 2p on day 2 + 4p on day 3 + 8p on day 4 + 16p on day 5 and so on…….