this month, Stage 3 & 4

March 2003

 

Problems

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Logoland - Sequences

Stage:3 Challenge Level:Challenge Level:1

Below are two diagrams concerned with a sequence of squares Part 1 Part 2 Both are based on the following procedure: TO SQUARE :S :N IF :S < 2 [ STOP] REPEAT 2 [ REPEAT :N [ FD :S RT 90 FD :S LT 90]. . . .

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Sissa's Reward

Stage:3 Challenge Level:Challenge Level:2Challenge Level:2

According to an old Indian myth, Sissa ben Dahir was a courtier for a king. The king decided to reward Sissa for his dedication and Sissa asked for one grain of rice to be put on the first square. . . .

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Tablecloth

Stage:3 Challenge Level:Challenge Level:3Challenge Level:3Challenge Level:3

Colour the squares of the square tablecloth so that each square is the same colour as all the symmetrically placed squares and a different colour from the rest of the squares.

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Excel Investigation: Target Decimal

Stage:3 and 4 Challenge Level:Challenge Level:2Challenge Level:2

Use an Excel spreadsheet to approximate a decimal using trial and improvement.

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Excel Interactive Resource: Multiples Chain

Stage:3 and 4 Challenge Level:Challenge Level:2Challenge Level:2

Use an interactive Excel spreadsheet to investigate factors and multiples.

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Excel Technique: Logic Tests

Stage:3 and 4 Challenge Level:Challenge Level:2Challenge Level:2

Learn how to use logic tests to create interactive resources using Excel.

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Olympic Magic

Stage:4 Challenge Level:Challenge Level:1

in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

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Squaring the Circle and Circling the Square

Stage:4 Challenge Level:Challenge Level:3Challenge Level:3Challenge Level:3

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

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The Root of the Problem

Stage:4 and 5 Challenge Level:Challenge Level:2Challenge Level:2

Find the sum of the series.