Have You Got It?

Can you explain the strategy for winning this game with any target?

Is There a Theorem?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

Card Trick 2

Can you explain how this card trick works?

Chocolate Maths

Stage: 3 Challenge Level:

Thank you to Gareth Matthews, Llantwit Major Comprehensive School for this solution. Jenny Cook, age 15, The Mount School York, Andrei Lazanu, age 12, School 205, Bucharest, Romania and Clement Goh, age 13, from River Valley High School, Singapore all sent good solutions.

I used algebra to get my answer.

The problem The solution My calculation
First of all, pick the number of times a week that you eat chocolate. A 7
Multiply this number by 2 (just to be bold). 2A 14
Add 5 (for Sunday). 2A+5 19
Multiply it by 50. 100A+250
This multiplies the original number by 100 and adds 250
950
Add 1750, then the last two digits of the year you last had a birthday. 100A+2000+ab
2709
Now subtract the four digit year that you were born (if you remember). 100A +2000+ab-cdef
Subtracting the year i was born (cdef) from the year I last had a birthday (20ab) gives my age. 100A puts the number A in the hundreds place.
714