Words of “Wiz-dom”—The questions that fall in this category belong in a puzzle book and I’ve even seen them asked on TV shows! (Yes, we have a satellite dish on the tallest tower of the castle!) They are not difficult math at all. They just require you to stop and think. So approach each one logically. As silly as it may sound, you’ll probably find a pattern that seems logical and obvious. However, if you don’t keep track as you go along, you’ll skip something and make a silly mistake.
They remind me of an old riddle: If you have exactly two US coins that add up to 30 cents and one is not a nickel, what are they?
1. How many integers are there between 0 and 100 that contain at least one digit that is either a 6 or a 7?
2. In Wizland, a “trisequiter” is a three digit integer with sequential digits. For example, 123 is a “trisequiter.” How many “trisequiters” are evenly divisible by 2?
3. Portia is putting potion bottles on the shelves of the alchemy room. The first one is red, the second is green, the third is blue, the fourth is orange. Her job is to put 1,000 potion bottles on the shelves using this sequence. If she takes a break after putting 485 potion bottles on the shelves, what color does she start with after her break?
4. A series of numbers follows the following pattern 1…4…10…19…31… What is the next number in the series?
REVELATIONS: Demystifying the ACT is available for the exclusive use of students who have registered through MaxTheTest.com or attend a school which is licensed to distribute it. Any distribution or use of these materials beyond these students or schools by any individual or organization and/or removal of this notice is a violation of federal copyright laws.