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Even Up

Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?

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Double Digit

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?

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What an Odd Fact(or)

Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?

Just Repeat

Age 11 to 14 Challenge Level:

Just repeat!

Think of any three-digit number.
Repeat the digits

e.g.

234 ....... 234 234

973 ...... 973 973


Both 6-digit numbers are divisible by 91.

Is this a coincidence?

Are there other patterns and connections?