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### Number and algebra

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### For younger learners

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# Odds, Evens and More Evens

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### Days and Dates

### Summing Consecutive Numbers

### Paving Paths

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 11 to 14

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

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?

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

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?

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?