11. Bill climbs a 2-mile hill at an uphill speed of 2 MPH, spends no to at the top, and immediately walks down at 6 MPH. What is his average speed for the up and down trip?
12. What are A and B in this mathematical expression?
79 = 15 x BA + A x 2A
13. The combined ages of Mark and Andrew are 44, and Mark is twice as old as Andrew was when Mark was half as old as Andrew will be when Andrew is three times as old as Mark was when Mark was three times as old as Andrew. How old is Mark? If you cannot work it out, ask your friends to help you, and watch the bewilderment creep over their faces as they attempt to grapple with the problem.
14. Can you solve the following sequence?
11, 12, 26, 81, 82, 166, 501, 502, ?
15. Mrs. Murphy wanted some oranges, so she sent Margaret to the corner shop to get them. Margaret came back a few minutes later with some oranges and six lollipops, having spent a total of 43 cents. Unfortunately, she didn't buy enough oranges, so her brother Mike was sent to get some more. He returned soon after, also with some oranges and seven sticks of toffee, having spent the same amount as his sister. What are the prices of the oranges, the lollipops, and the toffee sticks? Each of the items costs a whole number of cents, and all the items are realistically priced.
16. What is the four-digit number in which the first digit is one-fourth of the last digit, the second digit is 6 times the first digit, and the third digit is the second digit plus 3?
17. If 3 salesmen can sell three stoves in seven minutes, how many stoves can six salesmen sell in seventy minutes?
18. What number comes next in the sequence?
1, 6, 13, 22, 33, ?
19. Molly is buying some new fishing equipment at a sporting goods store where there is a sale. Everything in the store is 25% off, and cash purchases receive another 25% off the sale price. What will Molly pay in cash for fishing equipment with a pre-sale price of $100?
20. Find the number that best fits into the following sequence.
60 60 24 7 __ 10