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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

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Natural Sum

The picture illustrates the sum 1 + 2 + 3 + 4 = (4 x 5)/2. Prove the general formula for the sum of the first n natural numbers and the formula for the sum of the cubes of the first n natural numbers.

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Series Sums

Let S1 = 1 , S2 = 2 + 3, S3 = 4 + 5 + 6 ,........ Calculate S17.

Charlie's Delightful Machine

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

You could start by exploring Shifting Times Tables to get a feel for how the sequences that turn on the lights work.

Try exploring just one light at a time.