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Simple but effective resource with lots of scope for extension - great for a wide range of abilities.
• Can all numbers be made by adding consecutive numbers?<br /> • If some cannot be made, what do they have in common? Can you explain why this is?<br /> • Which numbers can be made in more than one way?<br /> • Which number(s) under 50 can be made in the most ways?<br /> • 9, 12 and 15 can all be written using three consecutive numbers. I wonder if all multiples of 3 can be written in this way?"<br /> • "Maybe you could write the multiples of 4 if you used four consecutive numbers..<br /> • How would you convince someone that what you have discovered always works?<br /> • If I told you a number, can you discover a way to tell me if it can be made by adding 2 consecutive numbers? How about 3? How about 4?...<br />
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