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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...
Summing Consecutive Numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Paving Paths
How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?
Age 11 to 14
Challenge Level
For Alison's approach:
What happens to the numbers as you go down the rows?
What happens as you go up the rows?
For Bernard's approach:
Which numbers end in a 0 in row $A_2$?
Which numbers end in a 0 in row $A_3$?
Which of these sequences will hit 1000?
For Charlie's approach:
Can you find a similar method to Charlie's to describe the other rows?
Which descriptions include 1000?
NRICH is part of the family of activities in the Millennium Mathematics Project.