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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?

What an Odd Fact(or)

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

How Many Miles to Go?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

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?