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Forwards Add Backwards printable worksheet
Can you find the other two ways of making 747 in this way?
Which other numbers between 700 and 800 can be formed from a number plus its reversal?
There are more than five...
Can you explain how you know you have found all the possible numbers?
How many numbers between 300 and 400 can be formed from a number plus its reversal. And between 800 and 900?...
The number 1251 can be formed by adding a 3-digit number with its reversal.
Which other numbers between 1200 and 1300 can be formed from a number plus its reversal? And between 1900 and 2000?...
With thanks to Don Steward, whose ideas formed the basis of this problem.
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?
Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.