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Days and Dates

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

Mind Reading

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I know?

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?

Hallway Borders

Age 11 to 14 Challenge Level:

The hallway floor is rectangular in shape.

Its length and breadth are whole numbers of feet.

The hallway is tiled and each tile is one foot square.

Given that the number of tiles around the perimeter is EXACTLY half the total number of tiles, find the possible dimensions of the hallway.

Now take a look here at possible follow-up extension questions.