Thinking Systematically - October 2003, Stage 1&2

Problems

1, 2, 3 Magic Square

Stage: 2 Challenge Level:

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

A Square Deal

Stage: 2 Challenge Level:

Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.

Seven Pots of Plants

Stage: 2 Challenge Level:

There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.

Diagrams

Stage: 2 Challenge Level:

A group activity using visualisation of squares and triangles.

Counters

Stage: 2 Challenge Level:

Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?

Triangle Island

Stage: 2 Challenge Level:

You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle making sure you obey the rules?

Symmetry Challenge

Stage: 2 Challenge Level:

Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.

Make 37

Stage: 2 and 3 Challenge Level:

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

Thinking Systematically - October 2003, Stage 1&2

Problems

1, 2, 3 Magic Square

Stage: 2 Challenge Level:

A Square Deal

Stage: 2 Challenge Level:

Seven Pots of Plants

Stage: 2 Challenge Level:

Diagrams

Stage: 2 Challenge Level:

Counters

Stage: 2 Challenge Level:

Triangle Island

Stage: 2 Challenge Level:

Symmetry Challenge

Stage: 2 Challenge Level:

Make 37

Stage: 2 and 3 Challenge Level:

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