Surprise!

Surprise!

Curiosity is triggered when something unexpected happens. These problems aim to draw students in by offering that element of surprise.

Subtraction Surprise 

Age 7 to 14 Challenge Level:
Try out some calculations. Are you surprised by the results?

Angles Inside 

Age 11 to 14 Challenge Level:
Draw some angles inside a rectangle. What do you notice? Can you prove it?

Legs Eleven 

Age 11 to 14 Challenge Level:
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Triangle in a Triangle 

Age 14 to 16 Challenge Level:
Can you work out the fraction of the original triangle that is covered by the inner triangle?

Areas and Ratios 

Age 16 to 18 Challenge Level:
Do you have enough information to work out the area of the shaded quadrilateral?

Another Triangle in a Triangle 

Age 16 to 18 Challenge Level:
Can you work out the fraction of the original triangle that is covered by the green triangle?