Sunday, 24 February 2013

24/02/2013 - Missing Numbers 1 (**)

This puzzle is rated 2 star (medium).

Description

This is just a straight algebra questions, but there is an easier way to work it out.

835X + XY2 = Y14Y

Puzzle
Work out X and Y.

Check the solutions page for the correct answer.

Saturday, 23 February 2013

23/02/2013 - Bad Shop (*)

This puzzle is rated 1 star (easy).

Description


George was buying a set of garden furniture, which costs $70.

He gave the attendant what he thought were two $50 notes, but actually handed over two $100 notes.

The attendant was sleepy and didn't notice either, so he gave George what he thought were three $10 notes, but actually handed over three $50 notes.


Puzzle
Who ended up better off than they should?

Check the solution page for the correct answer.

Friday, 22 February 2013

22/02/2013 - Sharing Sandwiches (***)

This puzzle is rated 3 star (hard).

Description


Fred, Bill and Gary went for a hike.  Fred took 5 sandwiches, Bill took 3 sandwiches and Gary took none.

When they sat down to eat Fred cut each of his sandwiches into 3 equal parts.  Bill also cut his sandwiches into 3 equal parts.

Fred, Bill and Gary each ate 8 sandwich parts, but because Gary was feeling guilty he gave Fred and Bill 1 pound for each sandwich part he ate.

Puzzle
How should the £8 be split between Fred and Bill?

Check the solutions page for the correct answer.

Thursday, 21 February 2013

21/02/2013 - Golden Payment (**)

This puzzle is rated 2 star (medium).

Description


You have a solid gold bar, marked into 7 equal parts.

You need to pay an employee each day for one week. 


He charges exactly 1/7 of the gold bar per day. 

You are only allowed to make 2 cuts into the bar (and this is gold so don’t even think about “folding” the bar). 

Puzzle
How can you make the cuts to pay your worker one gold piece every day?

Check the solutions page for the correct answer.

Wednesday, 20 February 2013

20/02/2013 - Toads and Toadstools (***)

This puzzle is rated 3 star (hard).

Description


Here is a class puzzle.

Two white toads and two black toads are sat on toadstools (that can only fit one toad on each).  There are 8 toadstools arranged in a square (3 by 3, with the middle empty), as shown above.  The white toads are sat in the corners at the top and the black toads in the corners at the bottom.

The toads want to swap places, but they can only jump according to the rules of a knight in chess (that is 2 squares up or down and one to side, or two squares to the side and one square up or down).

Puzzle
Swap the toads positions in as few moves as possible.

Check the solutions page for the correct answer.