### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

### Counting on Letters

The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?

# Seasonal Twin Sudokus

#### Rules of Seasonal Twin Sudokus

Each row, each column and each of the nine 3x3 boxes in Twin A and Twin B contains the 9 elements - a total of 10 letters in Twin A and all the nine different numbers 1 to 9 in Twin B.

This version of Sudoku consists of a pair of linked standard Sudoku puzzles, with some letters and digits as starters in twin A and twin B respectively. To get a complete solution for the twin puzzles, we have to solve each twin puzzle with the usual strategies but we can only get the complete solution for the twin puzzles by substituting the corresponding element of each cell from one twin Sudoku into the other.

So, for example we can see that in (9,1), that is row 9 column 1, Twin A contains the letter A and Twin B contains the number 9. This means that everywhere a letter A appears in twin A - a 9 appears in the corresponding position in twin B and vice versa.

This immediately generates some more elements in the cells of each twin!

Note that (4,3) in Twin A contains two letters (CH) instead of one. This is a deviation from the regular Wordoku which contains only one letter per square. This is the only way to squeeze more than 9 required letters into the 9x9 grid of Twin A to form two hidden words.

Can you guess or spot the two hidden words in Twin A?