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  Resources tagged with Working systematically similar to Summing Squares:
  
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  Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
  
  One Out One Under
  
  Stage: 4 Challenge Level:
  
  Imagine a stack of numbered cards with one on top. Discard the top, put the next card to the bottom and repeat continuously. Can you predict the last card?
  
  Ratio Sudoku 1
  
  Stage: 3 and 4 Challenge Level:
  
  A Sudoku with clues as ratios.
  
  LOGO Challenge - Triangles-squares-stars
  
  Stage: 3 and 4 Challenge Level:
  
  Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.
  
  Games Related to Nim
  
  Stage: 1, 2, 3 and 4
  
  This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
  
  Stage: 3 and 4 Challenge Level:
  
  Four small numbers give the clue to the contents of the four surrounding cells.
  
  Ratio Sudoku 2
  
  Stage: 3 and 4 Challenge Level:
  
  A Sudoku with clues as ratios.
  
  Twin Corresponding Sudoku III
  
  Stage: 3 and 4 Challenge Level:
  
  Two sudokus in one. Challenge yourself to make the necessary connections.
  
  9 Weights
  
  Stage: 3 Challenge Level:
  
  You have been given nine weights, one of which is slightly heavier than the rest. Can you work out which weight is heavier in just two weighings of the balance?
  
  Diagonal Sums Sudoku
  
  Stage: 2, 3 and 4 Challenge Level:
  
  Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
  
  Oranges and Lemons, Say the Bells of St Clement's
  
  Stage: 3 Challenge Level:
  
  Bellringers have a special way to write down the patterns they ring. Learn about these patterns and draw some of your own.
  
  Twin Corresponding Sudokus II
  
  Stage: 3 and 4 Challenge Level:
  
  Two sudokus in one. Challenge yourself to make the necessary connections.
  
  Corresponding Sudokus
  
  Stage: 3, 4 and 5
  
  This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
  
  More on Mazes
  
  Stage: 2 and 3
  
  There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
  
  Seasonal Twin Sudokus
  
  Stage: 3 and 4 Challenge Level:
  
  This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
  
  Ratio Sudoku 3
  
  Stage: 3 and 4 Challenge Level:
  
  A Sudoku with clues as ratios or fractions.
  
  Stage: 3 and 4 Challenge Level:
  
  Four numbers on an intersection that need to be placed in the surrounding cells. That is all you need to know to solve this sudoku.
  
  Intersection Sudoku 2
  
  Stage: 3 and 4 Challenge Level:
  
  A Sudoku with a twist.
  
  Rainstorm Sudoku
  
  Stage: 4 Challenge Level:
  
  Use the clues about the shaded areas to help solve this sudoku
  
  Colour in the Square
  
  Stage: 2, 3 and 4 Challenge Level:
  
  Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
  
  Wallpaper Sudoku
  
  Stage: 3 and 4 Challenge Level:
  
  A Sudoku that uses transformations as supporting clues.
  
  Twin Corresponding Sudoku
  
  Stage: 3, 4 and 5 Challenge Level:
  
  This sudoku requires you to have "double vision" - two Sudoku's for the price of one
  
  Integrated Product Sudoku
  
  Stage: 3 and 4 Challenge Level:
  
  This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.
  
  When Will You Pay Me? Say the Bells of Old Bailey
  
  Stage: 3 Challenge Level:
  
  Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?
  
  Tetrahedra Tester
  
  Stage: 3 Challenge Level:
  
  An irregular tetrahedron is composed of four different triangles. Can such a tetrahedron be constructed where the side lengths are 4, 5, 6, 7, 8 and 9 units of length?
  
  Pole Star Sudoku
  
  Stage: 4 and 5 Challenge Level:
  
  A Sudoku based on clues that give the differences between adjacent cells.
  
  The Naked Pair in Sudoku
  
  Stage: 2, 3 and 4
  
  A particular technique for solving Sudoku puzzles, known as "naked pair", is explained in this easy-to-read article.
  
  Sticky Numbers
  
  Stage: 3 Challenge Level:
  
  Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
  
  Diagonal Product Sudoku
  
  Stage: 3 and 4 Challenge Level:
  
  Given the products of diagonally opposite cells - can you complete this Sudoku?
  
  Instant Insanity
  
  Stage: 3, 4 and 5 Challenge Level:
  
  Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
  
  You Owe Me Five Farthings, Say the Bells of St Martin's
  
  Stage: 3 Challenge Level:
  
  Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?
  
  Intersection Sums Sudoku
  
  Stage: 2, 3 and 4 Challenge Level:
  
  A Sudoku with clues given as sums of entries.
  
  Intersection Sudoku 1
  
  Stage: 3 and 4 Challenge Level:
  
  A Sudoku with a twist.
  
  Magnetic Personality
  
  Stage: 2, 3 and 4 Challenge Level:
  
  60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
  
  A First Product Sudoku
  
  Stage: 3 Challenge Level:
  
  Given the products of adjacent cells, can you complete this Sudoku?
  
  Factor Lines
  
  Stage: 2 and 3 Challenge Level:
  
  Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
  
  Teddy Town
  
  Stage: 1, 2 and 3 Challenge Level:
  
  There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
  
  Stage: 3 Challenge Level:
  
  Rather than using the numbers 1-9, this sudoku uses the nine different letters used to make the words "Advent Calendar".
  
  Stage: 3 Challenge Level:
  
  You need to find the values of the stars before you can apply normal Sudoku rules.
  
  LOGO Challenge - Sequences and Pentagrams
  
  Stage: 3, 4 and 5 Challenge Level:
  
  Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?
  
  Twin Line-swapping Sudoku
  
  Stage: 4 Challenge Level:
  
  A pair of Sudoku puzzles that together lead to a complete solution.
  
  Cinema Problem
  
  Stage: 3 Challenge Level:
  
  A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
  
  Magic W
  
  Stage: 4 Challenge Level:
  
  Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
  
  Inky Cube
  
  Stage: 2 and 3 Challenge Level:
  
  This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
  
  Stage: 3 Challenge Level:
  
  If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
  
  Rectangle Outline Sudoku
  
  Stage: 3 and 4 Challenge Level:
  
  Each of the main diagonals of this sudoku must contain the numbers 1 to 9 and each rectangle width the numbers 1 to 4.
  
  Multiples Sudoku
  
  Stage: 3 Challenge Level:
  
  Each clue in this Sudoku is the product of the two numbers in adjacent cells.
  
  More Children and Plants
  
  Stage: 2 and 3 Challenge Level:
  
  This challenge extends the Plants investigation so now four or more children are involved.
  
  More Plant Spaces
  
  Stage: 2 and 3 Challenge Level:
  
  This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
  
  Olympic Logic
  
  Stage: 3 and 4 Challenge Level:
  
  Can you use your powers of logic and deduction to work out the missing information in these sporty situations?
  
  Building with Longer Rods
  
  Stage: 2 and 3 Challenge Level:
  
  A challenging activity focusing on finding all possible ways of stacking rods.