Welcome to the new site - September 2012, Stage 3&4

Holidays over and back to school.... Welcome to our new site! Please update your bookmarks as you have reached the old monthly index page that will soon cease to exist.

Problems

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Some Games That May Be Nice or Nasty

Stage: 2 and 3 Challenge Level: Challenge Level:1

There are nasty versions of this dice game but we'll start with the nice ones...

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Shifting Times Tables

Stage: 3 Challenge Level: Challenge Level:1

Can you find a way to identify times tables after they have been shifted up?

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Summing Consecutive Numbers

Stage: 3 Challenge Level: Challenge Level:1

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

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Mystic Rose

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

Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.

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Charlie's Delightful Machine

Stage: 3 and 4 Challenge Level: Challenge Level:1

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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A Little Light Thinking

Stage: 4 Challenge Level: Challenge Level:1

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

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Summing Geometric Progressions

Stage: 4 and 5 Challenge Level: Challenge Level:1

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

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Factors and Multiples Graphs

Stage: 4 and 5 Challenge Level: Challenge Level:1

Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross