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?
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
$2\wedge 3\wedge 4$ could be $(2^3)^4$ or $2^{(3^4)}$. Does it make any difference? For both definitions, which is bigger: $r\wedge r\wedge r\wedge r\dots$ where the powers of $r$ go on for ever, or $(r^r)^r$, where $r$ is $\sqrt{2}$?
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?
How would you find out how many football cards Catrina has collected?
Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
