Challenge yourself by solving these puzzles and mind stretchers, then check your answers on page 112.
If the outer shape is a perfect square and the numbers indicate the lengths of the corresponding line segments in centimetres, what is the area of A?
You just bought nine beautiful lakeside campsites, which you can rent out to campers with tents for $20 per campsite per evening. You can also upgrade them with electrical hookups: this will cost you $60 per campsite but will allow you to rent them to RVers for $40 per evening. Suppose you can always fill your campground to capacity. If you’re starting without any cash on hand, how many nights will pass before you’ll be able to upgrade all nine sites?
PATH PUZZLE REDUX
Draw a path that leads from any one of the grid’s openings to any other. As the path winds from one cell to the next, it can move up, down, left or right but not diagonally. It cannot pass through any cell more than once. The numbers around the grid tell how many cells the path must pass through in the corresponding row or column. Numbers adjacent to both a row and a column represent the total number of cells in the path from both the row and the column. If a row or column has no number, then the path may pass through as many or as few cells as you’d like.
GETTING TO THE ROOT
(Moderately difficult) What number is x?
THE LONG AND SHORT OF IT
Six neighborhood children—Leisha, Benito, Delia, Charlotte, Weldon and Zina—were measured yesterday. Weldon is taller than Delia but shorter than Zina. Leisha is taller than Benito but shorter than Delia and Weldon. Benito is not the shortest. List the kids in order of height from tallest to shortest.